Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with
multiplicity 2?
Of(x) = 2(x + 7)(x + 5)(x - 2)
Of(x) = 2(x-7)(x - 5)(x + 2)
Of(x) = (x + 7)(x + 5)(x + 5)(x - 2)
of(x) = (x-7)(x-5)(x - 5)(x + 2)
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Answers

Answer 1

Answer:

of(x) = (x-7)(x-5)(x - 5)(x + 2)

Step-by-step explanation:


Related Questions

why are 4^0 and (-4)^0 is equal to 1,while -4^0 is equal to -1

Answers

Step-by-step explanation:

According to the zero property of exponents, any number (other than 0) raised to the power of zero is always equal to 1.

The problem with this question is the simple fact that in this format it is confusing.

So, -(4^0) = -1 × (4^0) = -1x1 = -1

and, (-4)^0 =1

6. 2(x + 6) = 3(x + 1)

7. -2(4x+1) = 3(x+3)

8. 2(5x + 9) = 10x + 18

9. -5(x + 6) = -5x + 9

10. (h+20) = -5(h-6)
11. 3(2x-5) = -(x+1)
12. -3(d+1) = -2(3d-9)

Answers

Answer:

Hope this helps you

Step-by-step explanation:

6. x = 9

7. x = -1

8. x = True of all

9. no solution

10. h = 5/3

11. x = 2

12. d = 7

Look at the equation shown below
Which of the following scenarios could be represented by the equation?
Cory is saving money by saving $3 per week. Her grandmother gave her $4 for her
birthday that she will put with her other savings. How many weeks. x win it take
her to save $322
Cory is saving money by saving $4 per week. She purchased a container for $3 that
she will use to store her money. How many weeks, x, will it take her to save $32
after paying for the container?
Cory is saving money by saving $3 per week. She purchased a container for $4 that
she will use to store her money. How many weeks x, will it take her to save $32
after paying for the container?
Cory has saved $32 and spends $4 on a large drink from Burger Bam. She wants to
buy several orders of fries that cost $3 aplece. How many orders of tries, x can Cory
buy after spending the $4 on the drink?

Answers

Answer:

106 weeks

9 weeks

9 weeks

9 tires

Step-by-step explanation:

1 (322-4)÷3=106

She nees to save for 106 weeks

2 (32+3)÷4=8.75

She need to save 9 weeks becouse complite decimal

3 (32+4)÷3=9

she need to save for 9 weeks

4.(32-4)÷3=9.33

she can order 9 tires

3
10 points
A vector starts at point (-8,-6) and ends at point (7,-3) what is the horizontal component of the vector?
Type your answer...

Answers

It’s 15. 7- (-8)=15. It take the vector 15 units to travel horizontally to the right

help with the geometry pls and thx​

Answers

Answer:

1. p->q

2. p<->q

3. :.p^q

Step-by-step explanation:

I hope this will help you

How many faces does a right rectangular prism have if it has 8 vertices and 12 edges?
A. 4 faces
B. 6 faces
C. 8 faces
D. 10 faces

Answers

Answer:

B

Step-by-step explanation:

I think

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.

Question 3 options:

AB=RS

AB=2RS

ΔABC~ΔRST

△ABC≅ΔRST

m∠BAC=m∠SRT

m∠BAC=2m∠SRT

Answers

The given reflection transformation is a rigid transformation, such that the dimensions are preserved

The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;

AB = RSΔABC ≅ ΔRSTm∠BAC ≅ m∠SRT

Reasons:

The given parameters are;

Triangle ΔABC is reflected across the line y = 2·x

Given that a reflection is a rigid transformation, we have;

The distance between two points on a preimage is the same as the distance between the corresponding points on the image;

Therefore;

ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;

AB ≅ RS, BC ≅ ST, and AC ≅ RT

m∠BAC ≅ m∠SRT

m∠BCA ≅ m∠STR

m∠BAC ≅ m∠SRT

Therefore;

The true statements are;

AB = RSΔABC ≅ ΔRST

Therefore;

m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRST

Learn more here:

https://brainly.com/question/14136606

larger two degit number is --------

Answers

Answer:

99

Explanation:

The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number

helppp
what is the slope?

Answers

Answer:

I don't see the image either-

Step-by-step explanation:

Upload this again please so we can answer this :')

What are two ways to write 2a-18 in words

Answers

Answer:

Step-by-step explanation:

2a-18

two a minus eighteen

two a takeaway eighteen

two a subtract eighteen

two a deduct eighteen

Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine
the final cost of the DVD.

Answers

Answer:

0.88%y + 0.03%

K12 is how i know the answer

7
10 points
One force of magnitude 48 acts on an object. Another force of magnitude 90 acts on the object at a right angle, what is the magnitude of the resultant force on the object?
Type your answer...

Answers

So these forces are in a right angle, which makes it easy to find the resultant. I want you to imagine a right triangle, one side is 48 newtons, another is 90 newtons. Our resultant force is the hypotenuse. So this is sqrt[(90)^2 +(48)^2].

Write the following as an inequality.
w is less than 8 and greater than or equal to -3​

Answers

8>w
w>/= -3
Meaning the inequality is 8>w>/= -3

If 20 apples cost N300 how many apples can be bought for N1875

Answers

Answer:

28125

Step-by-step explanation:

300÷20=15

15×1875=28125

Find the unknown sizes of angles in the following figures (with step-by-step explanation please):​

Answers

Answer:

O= 87 degrees

Step-by-step explanation:

Because they are opposites

Answer:

x angle is 29

then 2x angle is 58 and y angle is complementary so then y also is 58

Antonio thought of a number ‘x’. He subtracted 7 from thrice the number to get 11.

Find x.​

Answers

Answer:

32=X becuase you said He subtracted 7 three times or thrice so we multiply that then add 11 because it was our remaining number from subtraction. so 32

Step-by-step explanation:

(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following ​

Answers

Answer:

Step-by-step explanation:

[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]

[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]

What is 500 miles decreased by 20%?

Answers

Answer:

400

Step-by-step explanation:

Percentage decrease = 20% × 500

New value = 500 - Percentage decrease

500 - (20% × 500) =

500 - 20% × 500 =

(1 - 20%) × 500 =

(100% - 20%) × 500 =

80% × 500 =

80 ÷ 100 × 500 =

80 × 500 ÷ 100 =

40,000 ÷ 100 =

400

9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.​

Answers

Answer:

The unit of measure appropriate is cubic metre or cubic meter (m³)

Step-by-step Explanation:

we know that

The volume of a cube is equal to

V = b^3

where b is the length side of the cube

In this problem we have

b = 2m

substitute in the formula of volume

V = 2^3

V = 8 m^3

therefore

The unit of measure appropriate is cubic metre (m³)

20 POINTS !!!!!!!!!
Solve the quadratic equation by completing the square.
x^2 - 18x + 68 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

Answer:

x =  x = 9 ±[tex]\sqrt{13}[/tex]  or x ≈ 12.61 or  x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68            Solve by completing the square.

x² - 18x = - 68    

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81  = -68 + 81

(x - 9) (x - 9) = 13                  Now find the square root of both sides

[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex]            Solve

x - 9 = ±[tex]\sqrt{13}[/tex]                         Solve for x

x = 9 ±[tex]\sqrt{13}[/tex]  

x = 9 + [tex]\sqrt{13}[/tex]    or  x = 9 - [tex]\sqrt{13}[/tex]      

x ≈ 12.61      or x ≈ x  5.39            

the price of a shirt was reduced $15 to 9$ by what percentage was the price of the shirt reduced

Answers

If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%

How to find percentage reduction?

The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:

15 - 9 = 6 dollars

Therefore,

percentage reduction = 6 / 15 ×100

percentage reduction= 600 / 15

percentage reduction = 40%

Therefore, the percentage reduction in price is 40%.

learn more on percentage here: https://brainly.com/question/13450942

#SPJ1

g(x)=-3x+2 and g(x)=-1, find x

Answers

Answer:

x=1

Step-by-step explanation:

2. Given that a = 3 , b = 2, and c = −1, evaluate each of the following expressionsa) (a+3b)

Answers

Answer:

9

Step-by-step explanation:

if you substitute a for 3 and b for 2 you should get 9

What is the vertex of the graph of f(x) = 4(x+5)²-1?​

Answers

Answer:

The vertex is (-5,-1)

Step-by-step explanation:

f(x) = 4(x+5)²-1

This is written in vertex form

y = a(x-h)^2 +k  where ( h,k) is the vertex

f(x) = 4(x- -5)²-1

H is -5 and k = -1

The vertex is (-5,-1)

The vertex is (-5,-1)

Find an ordered pair (x, y) that is a solution to the equation
3x+y=7
(x,y) = 0.0
X 00
?

Answers

Answer:

(0, 7) is an ordered pair solution to 3x + y = 7

Step-by-step explanation:

Given the equation 3x + y = 7, find a solution (ordered pair).

There are an infinite number of possible solutions.  Let's focus on just one:

Let x = 0.  Then y = 7, and (0, 7) is an ordered pair solution to 3x + y = 7

Rittle - Mary didn't know how to pronounce the name but she knew that she had to go inside to impress her parents, where was she? (giving out the answer in 5 mins. SO HURRY)

Answers

at school i think because i’m so confused

Helppp I have three more

Answers

16b = 12

Divide both sides by 16

b = 12/16

Simplify 12/16 by dividing by the GCF of 12 and 16, which is 4

b = 3/4

Hope this helps!! :)

I really need help with this question :)

Answers

Answer:

here you go.

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

d2=l2+w2 

132=169=(x+7)2+x2=x2+14x+49+x2→

2x2+14x−120=0→x2+7x−60=0

A simple quadratic equation resolving into:

(x+12)(x−5)=0→x=−12orx=5

Only the positive solution is useable so:

w=5andl=12

Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.

Answers

Congruent triangles are triangles with equal corresponding sides.

The triangles are congruent

From the question (see attachment), we have the following observations.

Two corresponding sides are marked with ITwo corresponding sides are marked with IITwo corresponding sides are marked with III

The above highlights mean that:

The corresponding sides are congruent by SSS theorem

Hence, your classmate's claim is incorrect.

Read more about congruence of triangles at:

https://brainly.com/question/20517835

Nick has 4 times as many partners as Gabriel, Leo has half as many partners as Nick.
Altogether, they have 28 partners. Explain how many partners Gabriel has.

Answers

Gabriel has 4 partners.

When you take the 4 and multiply it by 4, you get 16 where you'd take half of the 16 and add it to it. So you'd have 16 + 8 where it equals 24 and then add the original 4 and you get 28.

Gabriel had 4 partners.

Above explaination is awesome!
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