Answer:
See explanation
Step-by-step explanation:
if multiply the 3 factors together you get
(x² - x - 2)(x - 3) - trinomial x binomial
x³ - 3x²- x² + 3x - 2x + 6 - polynomial
x³ - 4x² + x + 6, this is the polynomial with those factors.
Poly means many so it could be a bigger polynomial with more factors but if it is limited to only these factors than there is just the one polynomial.
The polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3)
What is polynomial?A polynomial is the defined as mathematical expression that have a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that ,
P(x) has three factors (x-2), (x+1), and (x-3).
Multiplying the 3 factors together, we get
⇒ (x-2)(x+1)(x-3)
⇒ [x(x-3) - 2(x+1)](x-3)
⇒ (x² - x - 2)(x - 3)
⇒ x³ - 3x²- x² + 3x - 2x + 6
Rearrange the terms likewise and apply arithmetic operations
⇒ x³ - 4x² + x + 6
Hence, the polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3).
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Ten turns of a wire are helically wrapped around a cylindrical tube with outside circumference 4 inches and length 9 inches. The ends of the wire coincide with ends of the same cylindrical element. Find the length of the wire. (a) 41 inches (b)36 inches (c) 40 inches (d) 90 inches
Answer:
b) 36 inches
Step-by-step explanation:
Length of the wire = Outside circumference of the cylindrical tube * length of the cylinder
= 4 * 9
= 36 inches
Length of the wire will be same to the surface area of the cylinder
Surface area of cylinder = circumference * length
Someone pls help if you want more points just go to my other questions and answer them pls
Answer:
I would say the answer is C.
Please answer this question now
Answer:
[tex]\boxed{u = 6.0}[/tex]
Step-by-step explanation:
Using the cosine rule
[tex]c^2= a^2+b^2-2abCosC[/tex]
Here c = u , a = 11 , b = 12 and C = 30
[tex]u^2 = 11^2+12^2-2(11)(12)\ Cos 30\\u^2 = 121+144-2(132)(0.866)\\u^2 = 265-228.6\\u^2 = 36.37[/tex]
Taking sqrt on both sides
u = 6.0 (To nearest tenth)
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 16 in. long and 6 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.)
Answer:
x=3.00 or x= 8.00
Explanation:
Let us denote side of the cut-out square as x inches
Then base of box = 16-2x by 6-2x
The volume = V = (16-2x)(6-2x)
= 96-3x-12x+4x
dV/dx = 96-44x+4x^2
= 0 for a max V
divide by 4
X^2 -11x +24=0
Using quadratic formula to solve the equation
X= (11± √11^2-(4×1×24)/2
(11± √25)/2
x= 3 or 8inches
From the equation of volume = V = x(16-2x)(6-2x)
Substitute
let x = 3 , V = 3(16-6)(6-6) = 0
let x = 8 , V = 8(16-16)(6-16) = 0
Therefore, the maximum volume exist at both point x=3 or x= 8
after allowing 20%discount on the m.p of a mobile,15% vat was levied and sold it.If the differences between selling price with vat and selling price after discount is rs.1800,find the marked price of the mobile
Answer:
Market price = Rs. 15,000
Step-by-step explanation:
Let Market price = x
discount = 20% of x
= 0.20 *x = 0.2x
Selling price after discount = x - 0.2x = 0.8x
Value added tax = 15% of 0.8x
= 0.15 * 0.8x
= 0.12x
Selling price with VAT = 0.8x + 0.12x = 0.92x
Differences between SP with vat and SP after discount = rs.1800
0.92x - 0.8x = 1800
0.12 x = 1800
x = 1800/0.12
x = Rs. 15,000
A local high school has 1250 students in grades 9 through 12. Twenty-eight percent of the students in the school are in the ninth grade. One-half of the ninth-grade students ride the bus to school. How many ninth-grade students ride the bus?
Answer:175
Step-by-step explanation:
1. Turn 28% into a decima: 0.28
2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350
3. Half the amount of ninth grade students:175
Answer:
The answer is 175
Step-by-step explanation:
Because I read the problem carefully and identified that the explanation is way too long so I am gonna make this short and easy for you. I am correct, just Trust me :)
In how many ways can 6 commercials be played in 6-time slots in a 1-hour program?
Answer:
6
Step-by-step explanation:
I think the answer is 6
Find the value.
9x+6 when x=-2/3
Answer:
0Step-by-step explanation:
Given,
[tex] - \frac{2}{3} [/tex]
Now, let's find the value of 9x + 6
[tex]9x + 6[/tex]
plug the value of X
[tex] = 9 \times (- \frac{2}{3} ) + 6[/tex]
Multiplying a positive and negative equals a negative
[tex]( + ) \times ( - ) = ( - )[/tex]
[tex] = - 9 \times \frac{2}{3} + 6[/tex]
Reduce the number with Greatest Common Factor 3
[tex] = - 3 \times 2 + 6[/tex]
Multiply the numbers
[tex] = - 6 + 6[/tex]
The sum of two opposites equals 0
[tex] = 0[/tex]
Hope this helps..
best regards!!
what are the like terms??? 5x2+3x-10+7x2-8x+11 PLEASE HELP!!!! ASAP!!!!
Answer:
5x² and 7x² are like terms because they contain x².
3x and 8x are like terms because they contain x.
10 and 11 are like terms because they are constants.
Step-by-step explanation:
Let's recall that the definition of like terms is that they are terms that contain the same variables raised to the same power and only like terms can be combined.
Upon saying that, we have:
5x² and 7x² are like terms because they contain x²
3x and 8x are like terms because they contain x
10 and 11 are like terms because they are constants.
Find side AC and round your answer to the nearest hundredth, help please.
Answer:
Step-by-step explanation:
Side AC is the side opposite the reference angle of 70 degrees while side BC is the side adjacent to the reference angle. AB is the hypotenuse since it is across from (or opposite) the right angle. The trig ratio that uses the sides opposite from and adjacent to the reference angle is the tangent. Setting up to solve for AC:
[tex]tan(70)=\frac{?}{3}[/tex] and
3tan(70) = ? so
? = 8.24
In a local town, 54,000 families have incomes less than $25,000 per year. This number of families is 60% of the families that had this income level 12 years ago. What was the number of families who had incomes less than 25,000 per year 12 years ago
Answer: 90,000
Step-by-step explanation:
From the question, we are informed that in a local town, 54,000 families have incomes less than $25,000 per year. We are further told that this number of families is 60% of the families that had this income level 12 years ago.
To calculate the number of families who had incomes less than 25,000 per year 12 years ago goes thus:
Let the the number of families who had incomes less than 25,000 per year 12 years ago be represented by x.
Since we are told that this number of families is 60% of the families that had this income level 12 years ago. This means that:
60% of x = 54,000
60/100 × x = 54,000
0.6 × x = 54,000
0.6x = 54,000
Divide by 0.6
0.6x/0.6 = 54000/0.6
x = 90,000
The number of families who had incomes less than 25,000 per year 12 years ago was 90,000.
in which table does y vary inversely with x?
Answer:
Table B
Step-by-step explanation:
Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:
In table C:
As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.
In table D:
As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.
We are left with options A and B
If y varies inversely as x, the following relationship must hold:
[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]
Where k is a constant of proportionality
considering option B:
When x = 1, y = 36
36 = k/1
k = 36 * 1
k = 36
when x = 2, y = 36/2
y = 18
when x = 3, y = 36/3
y = 12
These tally with all that is indicated in the table. Option B is an inverse variation
The ratio of Ed’s cars to Pete’s cars was 5:2 at first. After Ed gave 30 cars to Pete, they had an equal amount of cars each. How many cars did they have altogether?
Answer:
Step-by-step explanation:
The two have a total of 5+2 = 7 "ratio units" so have a total of 140 cars.
can you mark me as brainliest?
5.
Evaluate x(-y + z) for x = 3, y = 3, and z = 1.
10
-8
12
-6
Answer:
-6
Step-by-step explanation:
x(-y + z)
Let x= 3 y =3 and z =1
3( -3+1)
Parentheses first
3 ( -2)
Then multiply
-6
Answer:
Hello! The answer to your question is -6
Steps will be provided below.
Step-by-step explanation:
This is how to solve your question:
Question:
Evaluate x(-y + z) for x = 3, y = 3, and z = 1.
Answer and how to solve:
The answer is -6 because....
If you do the steps correctly it will be...
Do the Parentheses first.
3x-(2)
Now you just multiply and you will get your answer.
Which will give you -6
SO THE ANSWER TO YOUR QUESTION IS -6
⭐️Hope this helps! :) ⭐️
Have a wonderful day! :D
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
Answer:
The triangle has two sides that are equivalent and the angle where the two meet are also equivalent.
In other words, two sides and the angle between them are congruent.
Hope this helps, if it does please give me brainliest, it will help me a lot :)
Have a good day
Answer:
A on edge
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1) A'(8, -10)
B'(10, -8)
C'(2, -4)
2) A''(8, -4)
B''(10, -6)
C''(10, -10)
Step-by-step explanation:
1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;
The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)
The coordinates of the point A(8, 8) will be A'(8, -10)
The coordinate of the point B(10, 6) will be B'(10, -8)
2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;
The coordinates of the point A'(8, -10) will be A''(8, -4)
The coordinate of the point B'(10, -8) will be B''(10, -6)
The coordinate of the point C'(2, -4)will be C''(10, -10)
Which gives, a total translation of -12 units down as follows;
A''(8, -4) - A(8, 8) = (0, -12)
B(10, 6) - B''(10, -6) = (0, -12)
C(2, 2) - C''(10, -10) = (0, -12).
Last week Perry ran 24.9 miles more than Mike. Perry ran 40.5 miles. How many miles did Mike run? LAST ONE LOL
Answer:
15.5mi
Step-by-step explanation:
S refers to the distance covered
Given:
Last week Perry ran 24.9 miles more than Mike. Perry ran 40.5 miles.
Required:
How many miles did Mike run=?
Formula:
40.5mi-S(Perry)=S(Mike)
Solution:
40.5mi-S(Perry)=S(Mike)
40.5mi-24.9mi=S(Mike)
15.6mi=S(Mike)
Hope this helps.
Answer:
15.6 miles
Step-by-step explanation:
40.5 mi - 24.9 = 15.6 mi
Mike ran 15.6 miles
I need you to answer ASAP
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equatic
It is (189)
It is (9, 18)
There are infinitely many solutions
There is no solution
Answer:
infinitely many solutions
Step-by-step explanation:
2x + 2y = 18
x + y = 9
multiply Line M equation by -2 to eliminate at least one variable:
2x + 2y = 18
-2x - 2y = -18
use elimination:
2x + 2y = 18
-2x - 2y = -18
__________
0 + 0 = 0
since this statement is true, there are infinitely many solutions.
30 POINTS!! Given triangle ABC shown below, which graph shows the transformation (x-2, y+4)?
Answer:
Its C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Take point A at ( 4,-1)
We are shifting down 2 and to the right 4
(4-2, -1+4) becomes ( 2,3)
Choice C has A' at ( 2,3)
The variables m and n are inversely correlated. When m = 22, n = 51. What is m when n = 6?
Answer:
m = 187
Step-by-step explanation:
Given m and n are inversely correlated then the equation relating them is
m = [tex]\frac{k}{n}[/tex] ← k is a constant
To find k use the condition when m = 22, n = 51
22 = [tex]\frac{k}{51}[/tex] ( multiply both sides by 51 )
1122 = k
m = [tex]\frac{1122}{n}[/tex] ← equation of correlation
When n = 6, then
m = [tex]\frac{1122}{6}[/tex] = 187
The value of m will be equal to 187 when both the numbers are an inverse function of each other.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that m and n are inversely correlated then the equation relating them is
m = K / n ← k is a constant
To find k use the condition when m = 22, n = 51
22 = k / 51 ( multiply both sides by 51 )
1122 = k
m = 1122 / n ← equation of correlation
When n = 6, then
m = 1122 / 6 = 187
Therefore, the value of m will be equal to 187 when both the numbers are an inverse function of each other.
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Be nice and answer my question
Answer:
look below
Step-by-step explanation:
hi
Any answers on this?
Answer:
40
Step-by-step explanation:
We're given an angle that forms a linear pair, and we're given an isosceles triangle. The angle to the right of 110 is 70, since they have to add up to 180. Since this is an isosceles triangle (denoted by the two dashes), we know that the other base angle has to be 70. 70 + 70 = 140; all angles add up to 180 so 180 - 140 = 40 degrees.
Answer:
40 degrees
Step-by-step explanation:
Since this is an isosceles triangle the 2 bottom angles are congruent
The bottom angles will be 70 degrees bc the exterior angle is 110 and 180-110=70
Because a triangle adds up to 180 degrees you need to use the equation 70 + 70 + x = 180 and you should get x = 40 degrees
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume? 15π m3 60π m3 45π m3 30π m3
Answer:
V = 15 pi m^3
Step-by-step explanation:
The volume of a cone is
V = 1/3 pi r^2 h
The radius is 3 and the height is 5
V = 1/3 pi ( 3)^2 *5
V = 15 pi m^3
Answer:
15 pi m3
Step-by-step explanation:
Each square in the grid is a unit square with an area of 1 square unit.
What is the area of the figure?
square units
Answer:
6 square units
Step-by-step explanation:
Simply count the number of squares:
There are 4 squares aligned in a vertical column, and one to the right of that column (so up to this point you have 5 full squares). Then notice that you have two half squares in the shape of triangles. So two halves give us another full square. That totals 6 square units.
This is really confusing I need help with this.
Answer:
Step-by-step explanation:
can you at least telllus what is in the drop box
hello:) i think that AB is longer than DC but I’m not sure if it’s correct :/ anyone able to help ? thank you!
============================================
Explanation:
OM and ON are not equal in length, so the chords AB and CD are not the same length. The chords would need to be equally distant from the center for the chords to be equal.
The further a chord gets from the center, the smaller the chord gets. This is because the diameter is the largest chord possible and its distance from the center is 0 units. Increase that distance and the chord will shrink until it reaches 0 units in length.
You are correct in stating that AB is longer than DC because AB is closer to the center (or that OM is smaller than ON).
What the correct answer now
Answer:
11
Step-by-step explanation:
The Law of Cosines is useful when you have two sides of a triangle and the angle between.
v^2 = w^2 +u^2 -2wu·cos(V)
v^2 = 6^2 +16^2 -2·6·16·cos(27°)
v^2 = 292 -171.0733
v ≈ 10.9966
v ≈ 11
Simplify the expression.
–6.5(–4.9)
Answer:
31.85
Step-by-step explanation:
Hey there!
Well to simplify the given expression we do,
-6.5 * -4.9
= 31.85
Hope this helps :)
can someone help me fill out this chart
Answer:
is there a y part of this equation?
Step-by-step explanation:
Find the eigenvalues and eigenvectors of A geometrically over the real numbers ℝ. (If an eigenvalue does not exist, enter DNE. If an eigenvector does not exist, enter DNE in any single blank.) A = 0 −1 1 0 (counterclockwise rotation of 90° about the origin)
Answer:
The eigen values obtained are not real and thus according to the notation in the question, the eigen values DNE in R
Step-by-step explanation:
Here, we are to find the eigen value and the eigen vector of matrix A over the real numbers R
Please kindly check attachment for complete solution and explanation