es, if possible, determine AB. Identify the dimensions of the resulting matrix and fill out the matrix, if it exis A=[[-1],[-6],[7]],B=[[-9,-7,-1]]

Answers

Answer 1

The product of these two matrices is a 3x3 matrix, AB.
AB = [[-9, -7, -1]
     [-9, -42, -7]
     [63, -42, 7]]


To determine AB, we need to multiply matrix A and matrix B. The dimensions of matrix A are 3x1 and the dimensions of matrix B are 1x3. Since the number of columns in matrix A is equal to the number of rows in matrix B, we can multiply these matrices. The resulting matrix will have the dimensions of the number of rows in matrix A and the number of columns in matrix B, which is 3x3.

To multiply the matrices, we take the dot product of each row in matrix A with each column in matrix B. The dot product is the sum of the products of the corresponding entries in the row and column.

AB = [[(-1)(-9) + (-6)(-7) + (7)(-1)], [(-1)(-9) + (-6)(-7) + (7)(-1)], [(-1)(-9) + (-6)(-7) + (7)(-1)]]
AB = [[-9, -7, -1]
     [-9, -42, -7]
     [63, -42, 7]]

Know more about matrices here:

https://brainly.com/question/28777961

#SPJ11


Related Questions

Write a C++ program that prints a table showing the square and square root of x starting from 1 to 5, with an increment of 0.5. Display x in one decimal place, its square in 2 decimal places and its square root in 4 decimal places. All numbers are to be right justified. The columns of the table should have appropriate headings.

Answers

To write a C++ program that prints a table showing the square and square root of x starting from 1 to 5, with an increment of 0.5, you can use the following code:

#include <iostream>
#include <iomanip>
#include <cmath>
using namespace std;

int main() {
 cout << setw(7) << "x" << setw(10) << "Square" << setw(14) << "Square Root" << endl;
 cout << "---------------------------------------------------" << endl;
 for (double x = 1; x <= 5; x += 0.5) {
   cout << setprecision(1) << setw(7) << right << x;
   cout << setprecision(2) << setw(10) << right << x * x;
   cout << setprecision(4) << setw(14) << right << sqrt(x) << endl;
 }
 return 0;
}

This program will print a table showing the square and square root of x starting from 1 to 5, with an increment of 0.5. The table will display x in one decimal place, its square in 2 decimal places and its square root in 4 decimal places, with all numbers being right justified. The columns of the table will have appropriate headings.

Learn more about square

brainly.com/question/28348992

#SPJ11

Keith will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0. 60 per mile driven. The second plan has no initial fee but costs $0. 80 per mile driven

Answers

200 miles is covered by Keith when the plans have the same price. When both plans have the same price, the cost is $160.

Two rents plans and the costs, the miles traveled by Keith when the two plans cost the same and the cost when the two plans cost the same, quadratic equations will be

Let the total miles covered for each plan be

The cost of the first plan would be

cost of the plan A=40+0.60x

The cost of the second plan would be

Cost of second plan=0.80x

If the two cost is the same, then

[tex]0.80x=40+0.60x[/tex]

Solve for x by collecting like terms

[tex]0.80x-0.60x=40[/tex]

[tex]0.20x=40[/tex]

[tex]x=\frac{40}{0.20}[/tex]

[tex]x=200[/tex]

The cost when the two plans cost the same would be

[tex]0.80x=0.80(200)=160[/tex]

or

[tex]40+0.60x=40+0.60(200)=160[/tex]

Hence, the miles covered when the plans cost the same is 200 miles.

The cost when the two plans cost the same is $160.

Learn more about quadratic equations visit:

brainly.com/question/30098550

#SPJ4

please help me man..

Answers

The solution to the system of equations is [tex]x = -3/4 $ and $ y = -3^{1/2}.[/tex] The solution has been obtained by using substitution method.

What is substitution method?

The substitution approach is one approach of solving equation problems. To use the substitution method, obtain an expression for one variable in terms of the second variable using one equation. Replace that variable with that expression in the second equation after that.

We are given system of equations as:

y = -2x - 5

y = 2x - 2

Now, by using the substitution method, we get

⇒-2x - 5 = 2x - 2

⇒-4x = 3

x = -3 / 4

On substituting the value of x in y = 2x - 2, we get

⇒y = 2(-3/4) - 2

⇒y = (-3/2) - 2

y = -7/2

Hence, the solution to the system of equations is[tex]x = -3/4 $ and $ y = -3^{1/2}.[/tex]

Learn more about substitution method from the given link

https://brainly.com/question/26094713

#SPJ1

Susie buys a car on hire purchase. The car costs R130 000. She pays a 10% deposit on the cash price and will have to pay monthly instalments of R4 600 for a period of three years. David buys the same car, but chooses another option where he has to pay a 35% deposit on the cash price and monthly instalments of R3 950 for two years.
3.1.1 Calculate the HP price for both options.
3.1.2 Calculate the difference between the total price paid by Susie and by David
3.1.3 Calculate the interest that Susie and David have to pay as a percentage of the cash price​

Answers

1. HP price for Susie is R 282600 and David is R 179300

2. The difference between the total price paid by Susie and David  is R 103300

3. The interest that Susie and David have to pay as a percentage of the cash price​ is 117.38% and 37.92%

What is the HP price:  

The HP price, also known as the hire purchase price, is the total amount that a buyer pays for a product when purchasing it through a hire purchase agreement.

It includes the cash price of the product plus any interest and fees charged by the lender.

Here we have

3.1.1, For Susie:

The cash price of the car is R 130000.

She pays a 10% deposit, which is:

= [10/100] × 130000 = R 13000

=> HP price =  the cash price - the deposit

=>  130000 -  13000 = R 117000

She will pay monthly installments of R 4600 for 3 years,

which is 36 months.

Therefore, the total amount she will pay is:

36 x 4600 = R 165600

Therefore, the total amount she will pay is R 165600

The HP price for Susie is,  

117000 + 165600 = R 282600

For David:

The cash price of the car is R 130000. He pays a 35% deposit, which is:

=> [ 35/100] × 130000 = R 45500

The HP price = 130000 - 45500 = 84500

He will pay monthly installments of R 3950 for 2 years, which is 24 months. Therefore, the total amount he will pay is:

24 × 3950 = 94800

The HP price for David is, therefore:

=> 84500 + 94800 = R 179300

3.1.2, The difference between the total price paid by Susie and by David  

=  282600 - 179300 = R 103300

3.1.3

For Susie:

The total interest she has to pay is the difference between the HP price and the cash price, which is:

=> 282600 - 130000 = R 152600

The interest rate as a percentage of the cash price is:

=> (152600/130000) × 100% = 117.38%

For David:

The total interest he has to pay is the difference between the HP price and the cash price, which is:

=> 179 300 - 130 000 = R 49 300

The interest rate as a percentage of the cash price is:

=> (49 300/130000) × 100% = 37.92%

Therefore,

1. HP price for Susie is R 282600 and David is R 179300

2. The difference between the total price paid by Susie and David  is R 103300

3. The interest that Susie and David have to pay as a percentage of the cash price​ is 117.38% and 37.92%

Learn more about Hire purchase price at

https://brainly.com/question/23414499  

#SPJ1

A city has a population of 1.5 million people. If the monthly incomes of these inhabitants follow a normal distribution with a mean of £2,075 and a standard deviation of £162, how many people from this city will have a monthly income between £2,000 and £2,300?
a. Between 260,000 and 270,000 people
b. Between 620,000 and 630,000 people
c. None of the above
d. Exactly half of the population
e. Between 890,000 and 900,000 people

Answers

The correct answer is (e) Between 890,000 and 900,000 people.

To find out how many people from this city will have a monthly income between £2,000 and £2,300, we need to use the z-score formula:

z = (x - μ) / σ

where x is the value we are interested in, μ is the mean, and σ is the standard deviation.

First, we'll find the z-score for £2,000:

z = (2000 - 2075) / 162 = -0.46

Next, we'll find the z-score for £2,300:

z = (2300 - 2075) / 162 = 1.39

Using a z-table, we can find the corresponding probabilities for these z-scores. The probability for a z-score of -0.46 is 0.3228, and the probability for a z-score of 1.39 is 0.9177.

To find the probability of having a monthly income between £2,000 and £2,300, we need to subtract the smaller probability from the larger probability:

0.9177 - 0.3228 = 0.5949

This means that approximately 59.49% of the population will have a monthly income between £2,000 and £2,300. To find out how many people this represents, we'll multiply the probability by the total population:

0.5949 * 1,500,000 = 892,350

Therefore, the answer is (e) Between 890,000 and 900,000 people.

To know more about normal distribution refer here:

https://brainly.com/question/29509087#

#SPJ11

Kneaders in Lehi sold 4000 rolls at Thanksgiving time last year. This year they expect a 22% increase in sales...
How many rolls will Kneaders in Lehi bake this Thanksgiving rounded to the nearest whole roll?

Answers

Step-by-step explanation:

If Kneaders in Lehi sold 4000 rolls last year and expects a 22% increase in sales this year, the number of rolls they will bake this Thanksgiving can be calculated as follows:

Calculate the 22% increase in sales:

22% of 4000 = 0.22 x 4000 = 880

Add the increase to last year's sales to get the total expected sales this year:

4000 + 880 = 4880

Therefore, Kneaders in Lehi will bake approximately 4880 rolls this Thanksgiving rounded to the nearest whole roll.

Answer:

4,880 rolls, see explanation below :)

Step-by-step explanation:

1.22(4000)= 4,880

and you instantly get your answer.

if you don't understand I basically did 1.22 times 4000 and got 4,880.

Formula: X + %increase/decrease x orginal amount/amount sold last year of rolls, (we can assume there is an invisible 1 in front of the x)

Basically Everything Behind This, Kind of (sorry I'm not the best explainer! :( ;

Here in this case 22% as a decimal is 0.22, how we get to a decimal from a percent: 22 divided by a 100= 0.22. and we got the decimal for 22%!

So X + 0.22= 1.22, and remember the X has an invisible 1 in front of it. so 1 + 0.22= 1.22 in other words.

Now the other value we have is 4000, so we multiply it by 1.22 and get 4,880. And this is how we got to our answer.

The pizza shown has a radius of 13 cm. What is the approximate area of the pizza? (Use 3.14 for .)

Answers

Answer:

530.66 cm²

Step-by-step explanation:

Pizza has a circle shape

The formula for the area of the circle is

A = π · r²

r = 13 cm

π = 3.14

3.14 x 13² = 3.14 x 169 = 530.66 cm²

So, the area of the pizza is  530.66 cm²

Answer:

530.66cm^2

Step-by-step explanation:

since a pizza is in the shape of a circle, we can use the formula π[tex]r^{2}[/tex] and here the radius is r which is 13cm, and since you asked to use 3.14 as pi's value,

=3.14*(13^2)cm

=3.14*169cm

is approximately = 530.66cm^2

mplify. Write "undefined" for expr [[-2,-2,4],[-6,-2,5],[-5,-1,5]]+[[5,2,2],[2,-4,-2],[4,5,-5]]

Answers

The simplified expression is [[3,0,6], [-4,-6,3], [-1,4,0]].

The given expression is [[-2,-2,4],[-6,-2,5],[-5,-1,5]] + [[5,2,2],[2,-4,-2],[4,5,-5]]. To simplify it, add the corresponding elements of each matrix:

[[-2,-2,4] + [5,2,2] = [3,0,6],
[-6,-2,5] + [2,-4,-2] = [-4,-6,3],
[-5,-1,5] + [4,5,-5] = [-1,4,0]]

Therefore, the simplified expression is [[3,0,6], [-4,-6,3], [-1,4,0]].

Learn more about matrix

brainly.com/question/28180105

#SPJ11

What is the the correct square angle of a triangle

is this a trick question?

Answers

Answer:

no it is not a trick question

Question 19 (4 Points) Saving. Enter A Whole Number. If You Are "Charged" 3¢ For Each Use Of A Straightedge And 5¢ For Each Use Of A Compass, Performing The Cheapest) Straightedge And Compass Construction Of Two Perpendicular Straight Lines Will Cost You
A/ Any Time You Must Move The Straightedge Or Compass, You Incur A New Charge.

Answers

The cheapest straightedge and compass construction of two perpendicular straight lines will cost you 11¢. This is because each use of the straightedge costs 3¢, and each use of the compass costs 5¢. Therefore, it takes three uses of the straightedge (3 x 3¢ = 9¢) and two uses of the compass (2 x 5¢ = 10¢) to create the two perpendicular straight lines, for a total of 11¢. So it will cost you  11¢

To create the perpendicular lines, first move the straightedge to create a line segment with one endpoint at the origin. Next, place the compass at one endpoint of the line segment and draw an arc with the desired radius, cutting the line segment at another point. Then, repeat this process with the straightedge and compass, but with the compass at the new endpoint and draw a perpendicular arc, intersecting the original arc. This will create the two perpendicular lines.

Each time you move the straightedge or compass, you incur a new charge. As outlined above, it will take three moves of the straightedge and two moves of the compass, for a total of five moves and a cost of 11¢.

Know more about line segment here:

https://brainly.com/question/30072605

#SPJ11

The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18,000 or more points to do so. Write an inequality to determine the number of seven-letter words, w, Sal could make to break the record.

Graph the solution set to this inequality

Answers

The required inequality expression is 2 + w ≥ 360.

Inequalities:

In mathematics, an inequality is a statement that compares two quantities or expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

An inequality states that one quantity is either less than or greater than the other, but not necessarily equal to it.

Here we have

You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you make with the ten letters you receive.

Sal wants to break the record, and he needs 18,000 or more points.

Let's assume Sal does 'w' number of seven-letter words

Then total points that Sal will gain = 100 + 50(w)

To break the record Sal wants 18000 points or more

=> 100 + 50w ≥ 18000    

=> 2 + w ≥ 360

Therefore,

The required inequality expression is 2 + w ≥ 360.

Learn more about Inequalities

https://brainly.com/question/30231190

#SPJ1

what is 1/10 - 30 =
can some one help me

Answers

The simplified form of the expression ( 1/10 ) - 30 is -299/10 or -29 9/10.

What is the simplified form of the expression?

Given the expression in the question;

( 1/10 ) - 30

To solve the expression (1/10) - 30, we need to first find a common denominator for the two terms in the expression.

The common denominator between 1/10 and 30 is 300, so we can rewrite the expression as:

(1/10) - 300/10

Now we can combine the two terms by subtracting the second term from the first:

(1/10) - 300/10 =

(1 - 300 )/10

-299/10

Convert -299/10 to mixed fraction

-29 9/10

Therefore, the solution to (1/10) - 30 is -299/10 or -29 9/10.

Learn about algebraic expressions here: brainly.com/question/4344214

#SPJ1

PT2 really need help

Answers

The value of x for each rectangle is given as follows:

5) x = 7.

7) x = 10.

How to obtain the area of a rectangle?

The area of a rectangle of base b and height h is given by the multiplication of these two dimensions, as follows:

A = bh.

Hence, for item 5, the value of x is given as follows:

3(5x - 2) = 99

5x - 2 = 33

5x = 35

x = 7.

For item 7, the value of x is obtained as follows:

3(4x - 3) = 111

4x - 3 = 37

4x = 40

x = 40/4

x = 10.

More can be learned about the area of a rectangle at https://brainly.com/question/25292087

#SPJ1

Dan's reading group has read 168 books this year. His reading group has 6 members. Each member read the same amount of books. How many books did each member read?

Answers

Answer:

To find out how many books each member read, we can divide the total number of books by the number of members in the reading group:

168 books ÷ 6 members = 28 books per member

Therefore, each member of Dan's reading group read 28 books this year.

168/6 = 28

28 books per member

Write an equation in slope intercept form for a line that passes through (10,-1) and a y intercept of -6

Answers

The equation in slope intercept form for a line that passes through (10,-1) and a y intercept of -6 is y = -1/10x - 6.

What is equation?

Equation is a mathematical statement that expresses the equality of two expressions. It typically consists of two expressions that are separated by an equals sign (=), and the equation is true if and only if both expressions have the same value.
Slope intercept form is a way to express a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y intercept. In this equation, m is equal to -1/10 (the slope of the line between the two given points) and b is equal to -6 (the given y intercept). This equation can be used to describe the line that passes through (10,-1) and has a y intercept of -6.

To know more about equation click-
https://brainly.com/question/2972832
#SPJ1

What is the answer to this problem

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{20})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{22}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{22}-\stackrel{y1}{20}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-2)}}} \implies \cfrac{2}{-1 +2} \implies \cfrac{ 2 }{ 1 } \implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-2)}) \implies y -20 = 2 ( x +2) \\\\\\ y-2=2x+4\implies {\Large \begin{array}{llll} \end{array}} y=2x+6\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Find the mark down rate for dress which was originally tagged at Php 5,220 but is now being sold at Php 4,900.

Answers

The mark down rate for the dress originally tagged at Php 5,220 but now being sold at Php 4,900 is 6.13%.

To calculate the mark down rate, use the formula:

Mark down rate = (Original Price - Discounted Price) / Original Price

Plugging in the numbers:

Mark down rate = (5,220 - 4,900) / 5,220 = 0.0613

To convert to a percentage, multiply 0.062 by 100 and you will get 6.13%.

Therefore, the mark down rate for the dress is 6.13%.

To know more about marked down rate, refer here:

https://brainly.com/question/7645418#
#SPJ11

Fill in the table for y = 2x² - 6.
X y
-0
2
4

Answers

Answer:

6969696969696969695969696966969696969696969699६9६9६9६959596869494982285959585868586868696959695968684828282828३8474747474848475757718१883757474839485747747474747474747474747484858384848485858587575757585848484848585857494857585958584858585858685969686(696066969686868696960

A company's production process has 5 steps of preparing, manufacturing, refining, validating, and shipping. Let's say there are 12 preparation stations and 4 manufacturing stations and 2 refining stations and 2 validating stations and 2 shipping stations.
If it is equally likely for a product to be prepared on any of the preparation stations, please find the probability that randomly chosen product was prepared on preparation stations 6, 7, and 8.

Answers

Therefore, the probability that a randomly chosen product was prepared on preparation stations 6, 7, and 8 is 0.25, or 25%.

The probability that a randomly chosen product was prepared on preparation stations 6, 7, and 8 can be found using the formula:


P(event) = number of favorable outcomes / total number of possible outcomes

In this case, the number of favorable outcomes is 3, since there are 3 preparation stations that we are interested in (6, 7, and 8). The total number of possible outcomes is 12, since there are 12 preparation stations in total.


So, the probability that a randomly chosen product was prepared on preparation stations 6, 7, and 8 is:


P(event) = 3 / 12

P(event) = 0.25

Therefore, the probability that a randomly chosen product was prepared on preparation stations 6, 7, and 8 is 0.25, or 25%.

To know more about probability, refer here:

https://brainly.com/question/30034780#

#SPJ11

Write the formula for the parabola that has x-intercepts (−2,0) and (4. 6,0), and y-intercept (0,1. 5)

Answers

The equation of the parabola can be written as

y=-0.16(x+2.0)(x-4.6)

A parabola is a curve made from the conic section whose eccentricity is 1 and is defined by the linear equation,

y=a(x-h)²+k, where a is an arbitrary constant and (h,k) denotes the vertex of the parabola.

According to the Intercept form of a parabola, if two x-intercepts (h1, 0), (h2, 0) are given, then the equation of parabola can be written as,

y=a(x+h1)(x-h2)

In this question,

h1 = 2.0

h2 = 4.6

So, the equation of the parabola would be,

y=a(x+2.0)(x-4.6)

Now, to find the value of the arbitrary constant "a", we can plug the point (0, 1.5) in this equation,

1.5 = a(0+2.0)(0-4.6)

1.5 =  a(-9.2)

a = -0.16

So, the equation of the parabola can be written as,

y=-0.16(x+2.0)(x-4.6)

To learn more about the intercept form of parabola visit,

https://brainly.com/question/4025853

#SPJ4

Give three points that are equivalent to the polar point (7,40°). Write the three points in polar form, with the angles in degrees.

Answers

Three points that are equivalent to the polar point (7,40°) are (7,400°), (7,-320°), and (7,760°). These points are equivalent because they all have the same magnitude of 7, but their angles differ by multiples of 360°.

In polar form, these points are written as:
- (7,400°) = 7cis(400°)
- (7,-320°) = 7cis(-320°)
- (7,760°) = 7cis(760°)

These points are equivalent because the angle in polar coordinates is measured modulo 360°. This means that any angle that differs by a multiple of 360° will be equivalent. For example, 40° is equivalent to 400° because 400° - 40° = 360°. Similarly, -320° is equivalent to 40° because -320° + 360° = 40°, and 760° is equivalent to 40° because 760° - 720° = 40°.

In conclusion, the three points that are equivalent to the polar point (7,40°) are (7,400°), (7,-320°), and (7,760°), and they are written in polar form as 7cis(400°), 7cis(-320°), and 7cis(760°).

To learn more about polar form here:

https://brainly.com/question/29045307#

#SPJ11

A car factory made 24 cars with a sunroof and 18 cars without a sunroof. What is the ratio of the number of cars with a sunroof to the total number of cars?

Answers

Answer:

4:7

Step-by-step explanation:

We know

A car factory made 24 cars with a sunroof and 18 cars without a sunroof.

What is the ratio of the number of cars with a sunroof to the total number of cars?

We find the total number of cars by taking

24 + 18 = 42 cars

The ratio of the number of cars with a sunroof to the total number of cars is

24:42

Simplify by 6, we get the ratio

4:7

Question 1 The weekly eaming X (in thousand AED) of a small store has the following cumulative distribution function. F(x)=0; for x<0 F(x) = x^3/64 for 04
a) Find the density function of X b) Find the expected value and the variance of X. c) lt is known that the weekly not profit. Y of this store, is 10% of the coming minus the fixed cost of one thousand AED. Compute the mean and the standard deviation of the net profit

Answers

Question 1
a) The density function of X is given by f(x)= 3x^2/64 for 0 ≤ x ≤ 4 and f(x) = 0 otherwise.
b) The expected value of X is E(X)= 3/2 and the variance of X is Var(X)= 3/8.
c) The mean of the net profit Y is given by E(Y) = 0.1E(X) - 1000 = -950 and the standard deviation is given by σY = 0.1σX = 0.1(√3/2) = 0.1825.

Learn more about eaming

brainly.com/question/13016225

#SPJ11

QUESTION 2 Find a polynomial function with the following properties: It has a triple zero at x = -1, double zero at x = 1 and zero at x = 3, and passes through the point (2, 27)

Answers

The polynomial function is f(x) = (x + 1)³(x - 1)²(x - 3). A polynomial function is a mathematical expression that consists of variables, constants, and exponents that are combined using the operations of addition, subtraction, multiplication, and division.

The zeros of a polynomial function are the values of x that make the function equal to zero. The given polynomial function has a triple zero at x = -1,

double zero at x = 1, and zero at x = 3.

This means that the factors of the polynomial function are (x + 1)³, (x - 1)², and (x - 3).

Multiplying these factors together gives us the polynomial function:f(x) = (x + 1)³(x - 1)²(x - 3).

To find the value of the constant term, we can use the given point (2, 27). Substituting x = 2 and f(x) = 27 into the polynomial function gives us:

27 = (2 + 1)³(2 - 1)²(2 - 3)27

3³(1)²(-1)27 = 27(-1)27

= -27

To make the function pass through the point (2, 27), we need to multiply the polynomial function by -1:

f(x) = -1(x + 1)³(x - 1)²(x - 3)f(x)

= -(x + 1)³(x - 1)²(x - 3)

Therefore, the polynomial function is f(x) = -(x + 1)³(x - 1)²(x - 3).

For more about polynomial function;

https://brainly.com/question/12976257

#SPJ11

What is the fourth vertex of the rectangle with vertices at (1,4), (1,−4), and (−5,−4)?
Group of answer choices

(4,4)

(4,-5)

(-5,-5)

(-5,4)

Answers

The fourth vertex of the rectangle is obtained as (-5, 4).

What is a rectangle?

A quadrilateral with parallel sides that are equivalent to one another and four equal vertices is known as a rectangle. It is also known as an equiangular rectangle for this reason.

To find the fourth vertex of the rectangle, we can use the fact that opposite sides of a rectangle are parallel and equal in length.

The given vertices are (1, 4), (1, -4), and (-5, -4).

Apply the midpoint theorem of diagonals of a rectangle -

Midpoint of BD = Midpoint of AC

(x,y) =  , [(1 - 5)/2 , (4 - 4)/2)

(x,y) = (-2, 0)

Now, the fourth vertex of the rectangle is -

(-2,0) = [(x + 1)/2 , (y - 4)/2)

-2 = (x + 1)/2

-4 = x + 1

x = -5

0 = (y - 4)/2

y = 4

So, the fourth vertex of the rectangle is (-5, 4).

Therefore, the points are is (-5, 4).

To learn more about rectangle from the given link

https://brainly.com/question/2607596

#SPJ1

Write a story problem:
100 - 20 - 4 =

Answers

Answer: a ticket to an amusement park is $100 per person. you have a coupon for $20 off of the admission price. the amusement park is also having a promotion where if you bring an empty pepsi can you can take an additional $4 off of the total admission cost. how much do you have to pay to be admitted to the amusement park after the coupons? (it would be $76)

Step-by-step explanation: my brain thought this up

Answer:

Step-by-step explanation:

Mikes mom gave him 100 dollars to spend and his favorite toy shop. Mike bought a Lego set which cost him 20 dollars. When he bought a lollipop which cost him 4 dollars.

Shawn’s science class starts at 11:25 a. M. It ends at 12:45 p. M. How long is Shawn’s science class?

Answers

Shawn’s science class takes 1 and half hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Shawn’s science class starts at 11:25 a. M.

It ends at 12:45 p. M.

Now, to find the How long is Shawn’s science class we have to find the time difference as

= 12: 45 pm - 11: 25 am

So, From 11:25 am to 12:25 pm it is one hour and additional of 30 minutes or half an hour.

This, the class is 1 and half hour long.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ1

Let x is equal to the number of heads observed. x is what we called rar P(x=2)=(1)/(4) ,P(x)=(1)=(2)/(4)

Answers

The probability of observing 2 heads is 1/4, the probability of observing 1 head is 2/4, and the probability of observing 0 heads is 1/4.

The question is asking what the probability of getting two heads (x=2) and one head (x=1) when tossing a coin.

The probability of getting two heads is P(x=2) = 1/4 and the probability of getting one head is P(x=1) = 2/4.


It is important to remember that the sum of all the probabilities in an experiment must equal 1.

In this case, P(x=2) + P(x=1) = 1/4 + 2/4 = 3/4. This means that the probability of observing 0 heads, represented as P(x=0), must be equal to 1/4 in order for the sum of all the probabilities to equal 1.


In conclusion, the variable x is used to represent the number of heads observed in a coin toss experiment, and the probabilities of observing different numbers of heads are given as fractions.

The probability of observing 2 heads is 1/4, the probability of observing 1 head is 2/4, and the probability of observing 0 heads is 1/4.

Learn more about probability here:

https://brainly.com/question/12629667#

#SPJ11

I’ll mark brainliest

Answers

Answer:

acute

Step-by-step explanation:

9 is bigger than 6

12 is bigger than 9

therefore all the angles will be smaller than a right angle

this makes the triangle acute

Write the transformed equation for f(x)-5, calling it h(x)

pls solve right away need desperately 20 point question

Answers

Transformed equation for f(x)-5 is the function h(x)=2x-4.

what is function

A functional equation in mathematics is, broadly speaking, an equation that has one or more functions as variable. A functional equation, however, is frequently used in a more narrow sense, where it refers to an equation that connects many values of the same function.

What is transformation

An equation that transforms into another equation and has roots that are the opposite of those in the given equation is said to be a transformation. To grasp the transformation equation, this transformation process must be made easy.

Given:

f(x)=2x+1

Transforming the function f(x)-5, we get

h(x)=2x+1-5

h(x)=2x-4

h(x) is a function which is made by shifting f(x) 5 units downward.

Hence, transformed equation for f(x)-5 is h(x)=2x-4.

To Know more about Transformed equation, visit:

https://brainly.com/question/29159889

#SPJ1

Other Questions
A school sells tickets to the school play through an online ticket company each ticket cost $8 and the company charges a $2.50 processing fee per order write an equation to represent the relationship between the number of tickets bought t and the total cost c with an equation Express the product of (12+1)( 21 x+1) and (65+32)( 56 x+ 23 ) as a trinomial in simplest form Read the following excerpt from President John F. Kennedy's "We Choose to Go to the Moon" speech. Then, answer the question that follows.If this capsule history of our progress teaches us anything, it is that man, in his quest for knowledge and progress, is determined and cannot be deterred. The exploration of space will go ahead, whether we join in it or not, and it is one of the great adventures of all time, and no nation which expects to be the leader of other nations can expect to stay behind in the race for space.Which rhetorical appeal is Kennedy using to persuade the audience to change their perspective on space exploration? Ethos: he is using expert testimony to provide credibility to his argument Logos: he is using facts to convince them of the need to fund a space program Pathos: he is using emotion to urge the audience of the need to explore space None: he is simply using his opinion Fragments, identify each group of words as a sentence or as a fragment. Make the fragmentssentences. Make them complete sentences...1. The ocean breeze is usually moist.2. The boat with a huge sail.3. The waves were thunderous.4. Surfing all afternoon long.5. We all slept in a popup trailer.6. Unless you put up the umbrella.7. While we were preparing to fry some fish.8. Under the bridge, the fish were gathering.9. Under the tent.10. We were going to the beach to sunbath. Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the plateau is 20, how far are you from the base of the plateau? What is the Portuguese word for "Brazil"? At 0C, the volume of a gas is 22 liters. For each degree the temperature T(in degrees Celsius) increases, the volume V (in liters) of the gas increases by 225. Write an equation that represents the volume of the gas in terms of the temperature. PLEASE HELP ME FIND THE ANSWERS Draw the image of the indicated translation of the given pre image Connecting with Past Learnings6 Recently you learned about Hebrew historyand beliefs. The ancient Hebrew and Greekcivilizations shared all of the following char-acteristics exceptA great written works.B democratic governments.C strong political leaders.D influence on later civilizations. What is the role of price in market economy? use the body temperatures, in degrees in fahrenheit, listed in the accompanying table. the range of the data is 3.5 degrees F. use the range rule of thumb to estimate the value of the standard deviation. compare the result to the actual standard deviation of the data rounded to two decimal places, 0.72 degrees F, assuming the goal is to approximate the standard deviation within 0.2 degrees F. Graph the solution to the following system of inequalities.v55x - 2y>-28+5 ill give brainiest :) Find the final amount for an investment of $5,000 over 5 years at an annual interest rate of 6% if the interest is compounded quarterly. Considering current Covid situation explain how does the concept of design thinking might work ? Kevin uses 48 ounces of dried apples and 22 ounces of driedcranberries to make a fruit snack. He plans to sell the snacksin pound containers. How many containers will he fill? Willany fruit snack be left over? Really need help on this Which location of a Cold War proxy conflict came the closest to nuclear missiles being used against the United States? Cuba Turkey Korea Vietnam Dan has 16 pencils. Quentin gives him5 more pencils. Choose all the ways youcan use to find how many pencils Danhas in all.016 +5o 16 + 4+o 16-5 how does determination help you overcome obstacles?