Explain that to me will you?

Explain That To Me Will You?

Answers

Answer 1

The values of x satisfying the condition of the quadratic function (f o g)(x) = 17 is; (2, 4)

How to solve quadratic equations?

We are given the functions;

f(x) = 2x - 3

g(x) = x² - 6x + 18

Thus;

(f o g)(x) = 2(x² - 6x + 18) - 3

= 2x² - 12x + 36 - 3

= 2x² - 12x + 33

Now, we want to find the value of x when (f o g)(x) = 17. Thus;

2x² - 12x + 33 = 17

2x² - 12x + 16 = 0

Factorizing this gives us;

(2x - 8)(x - 2) = 0

Thus;

2x - 8 = 0 or x - 2 = 0

x = 4 or 2

Read more about Quadratic equations at; https://brainly.com/question/1214333

#SPJ1


Related Questions

You are laying brick for a custom circular patio fire pit. The radius of the fire pit is 36 inches. In square feet, what
amount of patio space is needed for the fire pit?
O 9.42 square feet
O 28.26 square feet
O 113.04 square feet
226.08 square feet
4,069.44 square feet

Answers

Answer:

The answer is 28.26 square feet.

Step-by-step explanation:

The area of a circle is [tex]\pi r^{2}[/tex], so if the radius is 36, [tex]\pi *36^{2}[/tex] is equal to about 4071.5. The formula for converting square inches to square feet is to divide by 144, and [tex]\frac{4071.5}{144}[/tex] is around 28.26.

Solve - 3g-2| +1 < 6.

Answers

Answer: 18=18

Step-by-step explanation:

A company's sales in Seattle were $330,000 in 2012, while their sales in Portland were $245,000 for
the same year. Complete the following statements:
a. Seattle's sales were
% larger than Portland's.
b. Portland sales were
% smaller than Seattle's.
c. Portland sales were
% of Seattle's.

Answers

I believe that a) is 54% b) is 35% and c) is 65%

Help!

solve for x 13,14, and 16 only!!!

Answers

Answer:

13:

x= 86°

14:

x= 30°

16:

x= 59°

Find the value of a and b, so that the system of equations has a solution (2, -3)
3x + 5y + 9 = 0

ax + by = 11

Please give an explanation with the answer, thats what im most worried about. 100 points :3

Answers

Hi
Check out the attached photo

Btw, for any k we will have a set of answers for a and b.
Like if we put k=1 than one answer would be: a=10 & b=3
And so on

Hope this helps
Comment, if something is not understandable

distance between (4,9) (9,2)

Answers

The distance between the two points is 8.6 units

How to determine the distance between the two points?

The points are given as

(4, 9) and (9, 2)

The distance between the two points is then calculated as

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(4 - 9)^2 + (9 - 2)^2

Evaluate the sum of exponents

So, we have

d = √74

Evaluate the exponents

So, we have

d = 8.6

Hence, the distance between the two points is 8.6 units

Read more about distance at

https://brainly.com/question/17273444

#SPJ1

I’ll give braniest
Find the coordinates of the point
7/10 of the way from A to B.

Answers

[tex]\textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-8})\qquad B(\stackrel{x_2}{10}~,~\stackrel{y_2}{5})~\hspace{8em} \frac{7}{10}\textit{ of the way from A to B} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_2}{10}-\stackrel{x_1}{(-3)}~~,~~ \stackrel{y_2}{5}-\stackrel{y_1}{(-8)})\qquad \implies \qquad \stackrel{\stackrel{\textit{component form of}}{\textit{segment AB}}}{\left( 13 ~~,~~ 13 \right)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\left( \stackrel{x_1}{-3}~~+~~\frac{7}{10}(13)~~,~~\stackrel{y_1}{-8}~~+~~\frac{7}{10}(13) \right)\implies \left(-3+\cfrac{91}{10}~~,~~-8+\cfrac{91}{10} \right) \\\\\\ \left( \cfrac{-30+91}{10}~~,~~\cfrac{-80+91}{10} \right)\implies \left(\cfrac{61}{10}~~,~~\cfrac{11}{10} \right)\implies \left(6\frac{1}{10} ~~,~~1\frac{1}{10} \right)[/tex]

what is the value of x??
please help!!

Answers

20 is the answer your welcome

Kai is buying boxes of cookies at a bakery. Each box of cookies costs \$4$4dollar sign, 4. He wrote this equation to find how many dollars he'll spend (d)(d)left parenthesis, d, right parenthesis when he buys some number of boxes of cookies (c)(c)left parenthesis, c, right parenthesis:
d=4cd=4cd, equals, 4, c
Identify the dependent and independent variables.

Answers

The number of boxes of cookies Kai buy : independent variable

The amount of the cookies will cost in dollars : dependent variables      

Based on the given conditions, formulate,

Each box of cookies costs is = \$4$4dollar (sign, 4).

Cookie represented by c

The required equation is,

d = 4cd = 4cd = 4c

The price is determined by the number of cookies purchased.

c is the independent variable

when c is changes d is changed

So, d is the dependent variable    

variables of the equation.          

So,

We can write,

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Then, the cost of each box of cookies is $4.

It means,

The cost of 1 box of cookies is = $4.

The cost of 2 boxes of cookies is = $(4+4)  = $(2×4)

The cost of 3 boxes of cookies is = $(4+4+4)  = $(3×4)

The cost of cookies = (Number of boxes × 4)

The required equation is,

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Therefore,

The boxes of cookies Kai buy : independent variable

The cookies will cost in dollars : dependent variables    

To learn more about visit dependent and independent variables   :

brainly.com/question/24657192

#SPJ1

Boxes of cookies (c) is Independent.

Dollars spent (d) is Dependent.

COULD YALL HELP ME ?!???!

Answers

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

a. A group of 30 students were surveyed and it was found that 18 of them took
Calculus and 12 took Physics. If all students took at least one course, how
many took both Calculus and Physics? Illustrate using a Venn diagram.

Answers

No student took both calculus and physics out of the 30 students.

Given that, total number of students are 30. Out of which 18 took calculus and 12 took physics. Then, we have to calculate how many took both calculus and physics. So, by using venn diagram we have,

Total number of students = 30

Students who took calculus = P(A) = 18

Students who took physics = P(B) = 12

Students who took both calculus and physics = P(A∩B) = x

Students who took only physics = P(B)-x = (12-x)

Students who took only calculus = P(A)-x = (18-x)

From venn diagram, we get

(18-x)+x+(12-x) = 30

18-x+x+12-x = 30

⇒ x = 0

∴ P(A∩B) = 0

Therefore, No student took both physics and calculus.

Learn more in depth about venn diagram at https://brainly.com/question/2099071

#SPJ9

During a marathon, Amy was in second place and was told that the leader was 100 meters ahead of her and that the closest runner behind her was 75 meters back. On a number line, let's say Amy's position is at 0, and the leader's position is on the positive side of 0. Which number sentence correctly compares the distance between Amy and the runner behind her to the distance between Amy and the leader?
A) |-75|< |-100|
B.|-75|<|100|
C.|75|=|-100|
D.|-75|>|100|

Answers

Answer:c

Step-by-step explanation:

c

P(n), given below, is the price in dollars for n grams of vitamins.

P(n) = 0.2n + 5.3

Complete the following statements.

(a) which statement best describes (p^-1) (x)?
(See picture)

(b) p^-1 (x) =

(c) p^-1 (6.6) =

Answers

The statement that best describes the expression p-1(x) is (c) the amount for x grams

How to complete the statements?

The equation of the function is given as

P(n) = 0.2n + 5.3

(a) which statement best describes (p^-1) (x)?

The function is given as

P(n) = 0.2n + 5.3

This means that the inverse of the function is represented as p-1(n)

Hence, the statement that best describes the expression p-1(x) is (c) the amount for x grams

(b) The function p^-1 (x)

We have

P(n) = 0.2n + 5.3

Rewrite as

y= 0.2x + 5.3

Swap x and y

x = 0.2y + 5.3

Make y the subject

y = 5x - 26.5

Express as inverse function

p^-1(x) = 5x - 26.5

(c) The value of p^-1 (6.6)

We have

p^-1(x) = 5x - 26.5

This gives

p^-1(6.6) = 5 x 6.6 - 26.5

Evaluate

p^-1(6.6) = 6.5

Read more about inverse functions at

https://brainly.com/question/14796161

#SPJ1

jon started driving west 2 hours ago and has gone 80 mph. What is his veolcity?

Answers

Answer:

Either 40 or 80, depending on whether you worded the question correctly or not.

Step-by-step explanation:

If you mean he has gone 80 miles:

velocity is distance per time, so 80miles/2hours = 40 miles/hour

If you mean he is going 80mph, then the answer is in the question, 80 miles/hour and the distance he has traveled is in miles, therefore you need to multiply by hours, i.e., 80*2=160 miles.

What is 9 x 5.63 show how you got your answer.

Answers

Answer:50.63

Step-by-step explanation: line them up on top of each other and multiply 9 by all them and if its over 10 put the 2nd digit the the next number.

PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!

Answers

41.7 !!!!!!!!!!!!!!!!!

If Alpha and Beta are the roots of 2x² - 5x - 6=0, find the equation whose toots are ( Alpha -1) and (Beta+1).
pls help with this and lots of explanations.Tnx​

Answers

Answer:

[tex]x = 28[/tex]

[tex]2x { } ^{2} - 5x - 6 = 0[/tex]

graph each function and give its domain
f(x) = √x - 2

Answers

Domain = ∈ [2, ∞]

Range = ∈ [0, ∞]

Graph [tex]\sqrt{x - 2 [-10, 10, -5, 5]}[/tex]

Just outline the function.

The typical root operation is:

[tex]y = a * \sqrt{(x - h)} + k[/tex]

where x - h ≥ 0

The value within the root sign of a square root function CANNOT be < 0

∴ x - h ≥ 0

∴ x ≥ 2

Therefore, Domain = ∈ [2, ∞]

Regarding range, the function we were provided doesn't have a K value.

As a result, the range spans from 0 to infinity.

Therefore, Range = ∈ [0, ∞]

To know more about, Domain and Range of a function, refer to this link:

https://brainly.com/question/28135761

#SPJ9

The number of species, N, on an island as a function of the area, A, of the island is N=kA‾‾√3.

(a) What is the exponent of this power function?

Answers

-[tex]\sqrt{3}[/tex] is the exponent of the power function.

The power function is generally just f(x) = c x^p for some constant c and some real number exponent p. (It can only be defined for positive values ​​of x.) For example, the square root function f(x) = √x is a power function with p = 1/2.

In this case, N=kA‾‾√3 , -[tex]\sqrt{3}[/tex] is the exponent of this function.

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b to the n".

For more information about exponents, visit https://brainly.com/question/11975096

#SPJ9

The exponent of the power function is 1/2.

How often we are multiplying a number by itself is indicated by its exponent. To multiply 3 four times, for instance, we get 34. It is 3333 in its enlarged form. A number's power is another name for an exponent. It may take the form of an integer, a fraction, a negative integer, or a decimal.

A fractional exponent is one where the exponent of a number is a fraction. Parts of fractional exponents include square roots, cube roots, and nth roots. Square root of the base is a number having a power of half.

Hence we get the exponent of the function as 1/2.

Learn more about Exponents here:

brainly.com/question/847241

#SPJ9

(-5, 0) and (8, 0)
Quadratic function

Answers

We need to know about roots of a quadratic equation to solve the problem. The quadratic equation is [tex]x^{2} -3x-40=0[/tex]

Quadratic equation is an equation with the highest degree of the variable being 2. A quadratic equation has two roots. The two roots can be real and different or real and equal or imaginary. The roots of a quadratic equation can be found using factorization method. The roots of a quadratic equation can be used to find the quadratic equation itself. Here in this question we have two points (-5,0) and (8,0). These points lie on the x-axis hence we can say that they are the two roots of the equation and the quadratic equation is in terms of x since it cuts the x-axis. Hence we can say that the two roots of the equation are -5 and 8.

For a quadratic equation [tex]ax^{2} +bx+c=0[/tex] let us say that the roots are α and β

α+β=-b/a

αβ=c/a

Here α and β are -5 and 8

-5+8=-b/a ⇒b/a=-3

c/a=-5 x 8=-40

The quadratic equation is given by [tex]x^{2} +\frac{b}{a} x+\frac{c}{a} =0[/tex] which is [tex]x^{2} -3x-40=0[/tex]

Therefore we found the quadratic equation using the two points given, the equation is [tex]x^{2} -3x-40=0[/tex]

Learn more about quadratic equation here:

https://brainly.com/question/1214333

#SPJ9

At this year's State Fair, there was a dice rolling game. If you rolled two dice and got a sum of 2 or 12, you won $25. If you rolled a 7, you won $2. Any other roll was a loss. It cost $1 to play one game with one roll of the dice. What is the expectation of the game? Round your answer to the nearest cent. The expectation of this game is approximately dollars. X​

Answers

The probability to win 25$ and 2$ are 1/18 and 1/6

Probability is the ratio of favorable cases to total sample cases.

If two dice are rolled,

Total sample cases or combinations= 6x6=36

The favorable cases to get 2 or 12 ={1,2}{6,6}= 2 total cases

The favorable cases to get 7 ={1,6}{6,1}{2,5}{5,2}{3,4}{4,3}=6 cases

The probability to win 25$=2/36=1/18

The probability to win 2$=6/36=1/6

Thus the probability to win 25$ and 2$ are 1/18 and 1/6

For further reference:

https://brainly.com/question/11034287?referrer=searchResults

#SPJ9

Main Answer: $1.27

Given data:

If you rolled two dice and got a sum of 2 or 12, you won $25. If you rolled a 7, you won $2. Any other roll was a loss. It cost $1 to play one game with one roll of the dice.

Solving part

Step-by-step explanation:

For 2 and 12

Number of possible outcomes = 2

Gain = 25 -1 = $24

For 7

Number of possible outcomes = 6

Gain = 5-1 = $4

For others

Number of possible outcomes = 36-(4+6) = 26

Gain = -$1

Expectation of the gain;

X= (2×$24 + 6×$4 - 26×1)/36

X = $46/36

X = $1.27

Final Answer: $1.27

To learn about more about  visit: brainly.com/question/16038049 #SPJ9.

Question 6
WORLD RECORD The world's largest ice cream cake was created on May 10, 2011, in Toronto, Canada. The cake
was 4.45 meters long, 4.06 meters wide, and 1 meter tall. All surfaces of the cake except the bottom were covered
with a cookie crumble topping. Use an appropriate two-dimensional model to approximate the area covered by the
cookie crumble topping. Round your answer to the nearest tenth of a square meter.

Answers

The surface area covered by the rectangular cookie crumble topping is of 35.1 m².

What is the surface area of a rectangular prism?

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

For this problem, the bottom is not covered, hence the surface area will be of:

S = 2(hw + lh) + lw.

The dimensions are given as follows:

l = 4.45, w = 4.06, h = 1.

Hence the surface area is:

S = 2(4.06 x 1 + 4.45 x 1) + 4.45 x 4.06 = 35.1 m².

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/1310421

#SPJ1

4Y-4(-2z+6y)-2z simplify

Answers

The simplified expression of 4y - 4(-2z + 6y) - 2z is -20y  + 6z

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to simplify the expression?

The expression is given as

4y - 4(-2z + 6y) - 2z

Open the bracket

4y - 4(-2z + 6y) - 2z = 4y + 8z - 24y - 2z

Collect the like terms

4y - 4(-2z + 6y) - 2z = 4y - 24y  + 8z - 2z

Evaluate the like terms

4y - 4(-2z + 6y) - 2z = -20y  + 6z

Hence, the simplified expression of 4y - 4(-2z + 6y) - 2z is -20y  + 6z

Read more about expression at

https://brainly.com/question/723406

#SPJ1

Graph the following system of inequalities on the coordinate plane. You will need to explain your work. Each correct line graphed WITH the correct explanation and shading is worth TWO points.
Please tell me how you graphed each line and how you determined where to shade

Answers

Answer:

See attached graphs Graph1, Graph2 and Graph3 and detailed explanation below

Step-by-step explanation:

The process for plotting and shading are essentially the same but with different inequalities

To plot any line

We need two pointsPlug in a value for x and find the corresponding y valueRepeat for another x value and find the corresponding y valueDraw a straight line through the two points

To determine area to shade

Choose a point on either side of the line from the graph. See if the corresponding (x,y) values satisfy the inequality. If they do, then that's the area to shade. If not, shade the other area

1. Inequality y > -3x - 2

The line equation is y = -3x -2

Let's choose x = 0. Then y = -3(0) -2 = -2. So one point is (0, -2)

Choose another value for x, say x = 1

y = -3(1) - 2 = -3-2 = -5. So another point is (1,-5).

Draw a straight line through both points (see attached Graph1)

Determining area to shade

Choose a point on the graph on one side of the line. Let's choose (1,2). So x = 1 and y = 2. Does this satisfy the inequality y = -3x -2? Let's see

Is 2 > -3(1) - 2 ?

2 > -3-2 ?

2 > -5 ? YES since a positive number is greater than a negative number. So the area containing (1,2) should be shaded as shown in Graph 1

2. Inequality 4x + 5y ≤ 20

Line equation is  4x + 5y =20

Convert to a function of x as follows

Subtract 4x from both sides ==> 5y = 20 -4xDivide by 5 both sides ==> y = 20/5 - (4/5)x  ==> y = 4- 4x/5

Choose two values of x and find corresponding y values to get the coordinates of two points

Plug x = 0 into line equation ==> y = 4- 4x/5

==> y = 4 - 4(0)/5 = 4

==> (0, 4) is one point

Choose another value of x, say 5(this is a convenient value since we are dividing by 5)

==> y = 4- 4(5)/5 = 4-4 = 0

==> (5, 0) is another point

Draw straight line through (0,4) and (5,0)

To determine area to shade let's choose a point on the graph. (0,0) is a convenient point.  Do the values of x=0 and y=0 satisfy the inequality
4x + 5y ≤ 20?

Plugging in x = 0 and y = 0 gives us

4(0) + 5(0) = 0 and 0 is indeed ≤ 20

So the inequality is satisfied at (0,0)

Shade the region on the side of the line where (0,0) is (see Graph2)

3. Inequality y > -4

The line equation is y = -4

Since this equation does not involve x, the line plot will be a horizontal line at y = -4 for all x values

Simply draw a horizontal line which crosses the y axis at y = -4

To determine which area to shade, choose a point. Use (0,0)

Does y = 0 satisfy the inequality y > -4?

0 > -4 so indeed the point (0,0) satisfies the inequality. Just shade the area on the side of the line which contains (0,0). This will be the region above the line y = -4 See Graph3

Hope that helps :)

find the inverse of this grapg

Answers

Answer:

Can you please send the picture of the graph

Step-by-step explanation:

please help right answer will get brainliest

Answers

Answer:

[tex]\sf y = \dfrac{x }{\boxed{26}} +\boxed{-2}[/tex]

Step-by-step solution:

[tex]\rightarrow \sf x - 26y = 52[/tex]

[tex]\rightarrow \sf - 26y = 52-x[/tex]

[tex]\rightarrow \sf - 26y = -x + 52[/tex]

[tex]\rightarrow \sf y = \dfrac{-x + 52}{-26}[/tex]

[tex]\rightarrow \sf y = \dfrac{-x }{-26} + \dfrac{ 52}{-26}[/tex]

[tex]\rightarrow \sf y = \dfrac{x }{26} -2[/tex]

f(x)=5x-12what is f(-4)

Answers

f(-4x) = 5(-4)-12
multiply 5(-4) and get -20
-20 and add -12
answer is -32

One day total attendance at the state fair was 126,945. Round 126,945 to the nearest ten thousand, nearest ten thousand and the nearest thousand. Which of these rounded amounts is closest to the actual attendance?

Answers

Answer: To the nearest thousand.

Step-by-step explanation:

   First, we will round 126,945 to the requested place values;

(it says ten thousand once, so I'm going to include hundred thousand)

hundred thousand ➜ 126,945 ➜ 100,000

ten thousand ➜ 126,945 ➜ 130,000

thousand ➜ 126,945 ➜ 127,000

   Next, we will subtract these values from 126,945, and see which absolute value is the smallest.

hundred thousand ➜ 126,945 - | 100,000 | = 26,945

ten thousand ➜ 126,945 - | 130,000 | = 3,050

thousand ➜ 126,945 - | 127,000 | = 55

   The rounded amount that is closest to the actual attendance is thousand.

Read more about rounding here: https://brainly.com/question/10763876

3x - 2y = 15
x = 3

the two lines given by the equations above interest in the xy-plane. What is the value of the y-coordinate of the point of intersection?

Answers

Step-by-step explanation:

y-intersec is (0,y)

sub x=0 in 3x-2y=15

3*0-2y=15

0-2y=15

y=-15/2

I think the answer is a a a a a a a. As. A a a a a a a. A a a a a a a a

A teacher has 15 weeks in which to teach six chapters. Write and then solve
an equation that represents the number of lessons the teacher must teach per week if
there is an average of 8.5 lessons per chapter.

Answers

8.5 x 6 = 51 total lessons. 51 lessons/15 weeks= 3.4 lessons per week
Other Questions
) When a paradox is condensed into a two-word statement, it is called:DA) an oxymoronOB) a metaphorOC) an allegory Many of the earliest documented uses of maggot therapy were duringO wartimeO WWI and WWIIO the middle agesO the Renaissance Some friends are going to be driving to a city 900 miles away from home. They are planning to stay the night in a city 420 miles away, then drive the rest of the distance the following day. If they plan to drive on average 60 miles per hour, how long will they be driving the second day? How did the U.S. try to encourage people to move west? Which issue was addressed by the U.S. Civil War?A.racismB.povertyC.regional differencesD.enslavement 3. The U.S. government lowered taxes to help the country recover fromrecession. Which purpose of government did this action most closelyserve?A. To maintain social orderB. To provide public servicesC. To regulate the economyD. To protect the countries security HELP MEE!(if you dont know all, only 1/2/3 etc... please say! anything helps)I need to fill in these sentences!! 1) quelle heure ___ ta commences l'cole?2)_____ tes combien dans vitre classe?3)Combien de matis tu ___ cette anne?4)_____ tu beaucoup de devoirs?5)_____ tu penses que ce sera une bonne anne pour toi? Can someone please send the answers to these questions with explanation? (Attachment) (30 POINTS) The sum of two numbers is 172. The first is 8 lessthan 5 times the second. Find the first number. Find the unit tangent vector for the following parameterized curves.r(t)=cos(t)i+sin(t)j+sin(t)k, 0t Sociology Research Question - Would the following research question use a quantitative or qualitative approach? "How does music affect peoples thoughts?" Johnny wrote a book about the life of his pet turtle, Mr. Snuffles, who was accidentally flushed down the toilet. The book is A sadnessB biographicalC watery Determine the translation. Question 7 of 20:Select the best answer for the question.7. Percent means "perO A. 100OB. 1000O C. 1O D. 1011KOMark for review (Will be highlighted on the review p Parallel to 4x 6y = -36 passing through (2,3) When attempting to understand the connection between psychological and physical problems, freud concluded that. The system of equations graphed below has how many solutions?y = 2x + 2y= 2x If a DNA molecule is 10% Adenine (A), what percent of the DNA moleculeis made up of Cytosine (C)? (Hint: remember the base pairing rules)related set of HELP ANSWER PLSSSSSSSSSSSS Why is it important to review your checking account statement? what fees might this help you avoid? explain your answer.