Write a quadratic equation for a parabola with roots at (-2, 0) & (4,0) and a y-intercept at ( 0, -16) Write your answer in factored form

Answers

Answer 1

9514 1404 393

Answer:

  y = 2(x +2)(x -4)

Step-by-step explanation:

The y-intercept will be a constant times the product of the roots. Here, the product of the roots is (-2)(4) = -8, so the constant of interest is -16/-8 = 2. That constant is the coefficient of the leading term of the quadratic, so is a multiplier of the factored form.

  y = 2(x +2)(x -4)

__

For root p, (x-p) is a factor in the factored form.


Related Questions

Find the length of side AB.
Give your answer to 3 significant figures.
с
410
13.5 cm
A
B

Answers

Answer:

AB ≈ 8.86 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin41° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{13.5}[/tex] ( multiply both sides by 13.5 )

13.5 × sin41° = AB , then

AB ≈ 8,86 cm ( to 3 significant figures )

Answer:

8.87

Step-by-step explanation:

use the sin law for right triagles sin(θ)= opposite/hypotenuse so

sin(41)=(AB)/13.5

13.5×sin(41)=AB

8.87=AB

Solve for y. 1/4y+3=-5x

Answers

Answer:

y=-20x-12

Step-by-step explanation:

Kelsey knit a total of 6 centimeters of scarf over 2 nights. After 4 nights of knitting, how many centimeters of scarf will Kelsey have knit in total? Assume the relationship is directly proportional.

Answers

Answer:

[tex]12[/tex] cm

Step-by-step explanation:

If Kelsey knit a total of [tex]6[/tex] cm of scarf over [tex]2[/tex] nights, then we know that she can knit [tex]\frac{6}{2}=3[/tex] cm each night. Therefore, after [tex]4[/tex] nights of knitting, Kelsey would have knit a total of [tex]3*4=12[/tex] cm of scarf in total. Hope this helps!

1 Camelita nuns the track at her school that is of a milelong. If she runs 4. 3 miles, how many laps did she run?​

Answers

Answer:

3 laps.

Step-by-step explanation:

Hi! I can see how this is tricky, but I was a bit confused by the 4 in "If she runs 4." It says in the problem that the track is a mile long... So if you run the track 3 times, 3 x 1 = 3.

The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of
money collected from book sales.
Book Sales Revenue
30 12
27
24
21
18
Revenue in dollars
15
12
3
4 8 12 16 20 24 28 x
Number of books sold
Save and Exit
SA
Mark this and totum

Answers

Answer:

4 8 12 16 20 24 28 32 36 40 44

Did you ever get the answers ?

Answers

Answer:

of what??????????????????

Answer:

what do you mean???

Find the missing side of the missing side.

The length of the missing side is: ?m

Answers

Your answer is 76m.

a^2+b^2=c^2

57^2+b^2=95^2

3249+b^2=9025

b^2=5776

Take sqr on both sides and you get:

b=76m

2s + (-4s) simplify

Answers

Answer:

-2s

Step-by-step explanation:

Answer:

-2s

Step-by-step explanation:

We have: 2s + (-4s)

Take -4s outside of the parentheses and we now have: 2s - 4s

Now subtract and the simplified equation will be: -2s

The sum
of three consecutive integers is - 126. What are the integers?

Answers

Let the three consecutive integers be x , x+1 ,x+2
Given, sum of three consecutive integers = -126
x +x+1+ x+2 = -126
3x +3 = -126
3x = -126 -3
3x = -129
x = -129/3
x = - 43
x +1 = -42
x +2 = -41

Can you help me find the answer to 3/4 - 1 1/2

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4 - 1 1/2 = -3/4

helpp ill mark u as brain list​

Answers

Answer:

6

Step-by-step explanation: if im wrong then  sorry i couldnt really see

Answer:

They are each one off

Step-by-step explanation:

Evaluate (-4)^(-2)..........................................................................................................

Answers

Answer:

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Step-by-step explanation:

Explanation:-

Given    (-4)⁻²

we will apply (a)⁻ⁿ = [tex]\frac{1}{a^{n} }[/tex]

       (-4)⁻² =  [tex]\frac{1}{(-4)^{2} }[/tex]

                [tex]= \frac{1}{(-1)^{2} (4)^{2} }[/tex]

               [tex]= \frac{1}{16}[/tex]

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Help please please please I will mark you as brainlist!

Answers

Answer:

x=2; 7

Step-by-step explanation:

Answer:

For question 4, the answer is 7. The value of x is 2.

For question 5, the value of y is 1.

2(8 +0.5) + 2(5 +1.5)

Answers

Answer:

30

Step-by-step explanation:

WHAT IS THE SOLUTION TO THE SYSTEM OF EQUATIONS

Answers

The mathematical solution and formula.

(-3,4,6)

have a wonderful day and hoped it helped

I REALLY need help with this one!

Find the LCM (Least Common Multiple) of

(5x-9) and (3x+8)

Answers

sorry it's too difficult

-45x and 24x but i’m not really sure

Subtract 512 to get to 256

Answers

Answer:

768

Step-by-step explanation:

Answer:

Step-by-step explanation:

The other number is 768

If we subtract 512 from 768 the answer is 256

Solve 3(x − 4) = 12x
x=?

Answers

Answer:

im pretty sure the answer is eight!

Step-by-step explanation:

Answer:

x = -4/3

Step-by-step explanation:

[tex]3(x-4)=12x\\\\3x-12=12x\\\\3x-12+12=12x+12\\\\3x=12x+12\\\\3x-12x=12x-12x+12\\\\-9x=12\\\\\frac{-9x=12}{-9}\\\\\boxed{x=-\frac{4}{3}}[/tex]

Hope this helps!

the sum of x and y is 18, and their difference is 14 which pair of equations describes this statement

Answers

Answer:

x = 16

y = 2

Step-by-step explanation:

PLZ ANSWER QUICK IT WILL HELP A LOT!

Answers

Answer:

B

Step-by-step explanation:

I need answers for those two questions please. ​

Answers

Answer:

Step-by-step explanation:

1.

sin R=15/39=0,3846

R≈23°

2.

tan 52°= 1,2799

here it is okay okay

Is (3, 2) a solution to the equation y = X?
Yes or No ?

Answers

Answer:

no

Step-by-step explanation:

Answer:

the answer is no

Step-by-step explanation:

The diameter of a circle is 16 yards. What is the circle's area?
d=16 yd
Use 3.14 for n.

Answers

Answer: D=16km

r=8km

circumference of a circle= 2πr

                                     = 2*3.14*8

                                     =50.24km

 P.S 3.14 is used as the value for π (pie)

Step-by-step explanation:

Which word describes the figure?
O parallelogram
O rhombus
O quadrilateral

Answers

The figure is not there

Answer:

THERE IS NO DARN SHAPE MAN

Step-by-step explanation:

Write two polynomials whose sum is x^3-x-7

Answers

Sry need pointssssssssssssss

What is x?
(4/5)^x=64/125​

Answers

Answer:

x = 3

Step-by-step explanation:

(4/5)^x = 64/125​ means that 4^x / 5^x = 64/125

x can only be 3 because 4^3 = 64 and 5^3 = 125

Please mark Brainliest :)

A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour. At 3 pm, the ship adjusts its course on a bearing of N 20º E. How far is the ship from the port at 4pm?

Answers

It was not until the end of the day I will be able to get the most out of the way ↕️ the first place in the first half of the season ⛄ and a few others are doing it is not the only one who has a lot of very high quality of care and treatment for me and the second is a very nice, but it does was the only thing I do you know that you can get the best out there that can be used for the first time in a long time, but I think it is a very nice and the other hand, the more I think about it, I was able to get the most out of your way to a new study by its is the only one who has a very nice to be able to get the most from a variety of different types of people and a few others.

HELP ASAP YALL- PLS

Answers

Answer: x = 4

Step-by-step explanation:

since it is showing us that the angles are congruent, we know that the smaller triangle is just a scaled-down version of the larger one. in other words, it is the EXACT SAME triangle, just slightly smaller.

so, i redrew them next to each other, so i could compare them easily.

i looked at the corresponding sides that were given, and realized that the side that is 10 on the larger triangle is equal to 5 on the smaller triangle. the side that is equal to 6 on the larger triangle is equal to 3 on the smaller triangle. this concludes that the smaller triangle is exactly half the size of the larger triangle!

so, i figured (using logic) that x must equal 4, simply dividing its corresponding side (with a measure of 8) in half.

hope this helps! xoxo

Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65, 87.
What is the mean height of Bella's corn stalks?
A. 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm

Answers

It would be E I’m not sure but maybe

PLZ WILL GIVE BRAINLIEST

translate to algebraic expression
tom had d dollar bills, q quarters, and p penies, in his pocket. How much money(in cents) does he have?

Answers

Sorry this answer has nothing. I wrote an answer but then realized that it's wrong.

Answer:

100d+25q+p

Step-by-step explanation:

Because 1d = 100 cents, 1q = 25 cents, and a penny = 1 cent.

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