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Write an equation of the parabola that passes through the point (62,−490) and has x-intercepts −8 and 72. Then find the average rate of change from x=−8 to x=2.

Answers

Answer 1

Answer:

y =  0.7(x^2 - 64x - 576)

Average rate of change = -49.

Step-by-step explanation:

As the x intercepts are -8 and 72 we can write the equation

y = a(x + 8)(x - 72)     where a is some constant to be found.

As it passes through point  (62, -490) we have, substituting:

-490 = a(62+8)(62-72)

-490 =  - 700a

a = 0.7

So the equation of the parabola

y = 0.7(x + 8)(x - 72) or

y =  0.7(x^2 - 64x - 576).

Average rate of change between x = -8 and x = 2

=  [0.7(2+ 8)(2 - 72) -  0.7(-8+8)(-8-72)] / (2 - -8)

= -490 - 0 /10

= -49


Related Questions

6 Bridesmaids want to make 330 decorations for a wedding. Each
decoration takes about 2 4 minutes to make. How many hours will it take
for each person to make all the decorations?

Answers

Answer:

about  3.21 hours each

Step-by-step explanation:

First divide 330 by 6 since there are six people.

Every person needs to do 55 decorations.

I would take the average of 2-4 minutes and multiply it by 55.

55 x 3.5 = 192.5 minutes

to convert to hours divide by 60.

192.5 / 60 = 3.21

18% of what number is 22?

Answers

Answer:122.222222

Step-by-step explanation: hope this helps

can i have brainliest?  

Plzzzzzzz helppppppp

Answers

Answer:

a i think

Step-by-step explanation:

Answer:

Y = -5 + 5

Step-by-step explanation:

You can check the y intercept and it's a negative 5 slope

hey , can you help me with this thanks !!

Answers

Answer:

16

Step-by-step explanation:

the sides may not seem to help but it dose go to the other side and try to meser it it would be 4. add 8+4+4 or 8+8=16

Answer:

18.6cm (rounded to 3 s.f.)  

Step-by-step explanation:

You can actually figure out the two bases of the triangles based on the Pythagoras theorem where the slant length of a 90° triangle is [tex]\sqrt{a^{2} + b^{2} }[/tex] where a is one of the bases and b is the other length that is 90° perpendicular to a.

So this means:

[tex]\sqrt{6^{2} + base^{2} }[/tex] = 8cm

6² + base² = 64cm

36 + base² = 64

base² = 64-36

          = 28

base = [tex]\sqrt{28}[/tex]

        ≈ 5.2915 (5 s.f.)

So the two bases are roughly 5.2915, and the middle base is part of a rectangle, so it has the same length as the rectangle's length, which is 8cm.

Thus, x = 5.2915 + 5.2915 + 8

            = 18.6cm (rounded to 3 s.f.)  

When Daria gets to school, the temperature is 5.7°F. The temperature changes
by -9.5°F by the time she goes to bed. What is the temperature when Daria goes
to bed? Show your work.

Answers

Answer:

-3.8

Step-by-step explanation:

The temperature when Daria goes to bed was -3.8° F.

What is subtraction?

To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

Given that, When Daria gets to school, the temperature is 5.7 °F. The temperature changes by -9.5 °F by the time she goes to bed.

5.7 - 9.8 = -3.8

Hence, The temperature when Daria goes to bed was -3.8° F.

For more references on subtraction, click;

https://brainly.com/question/2346316

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generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x=−6 f(x) has a local minimum at x=−3 f(x) has a local maximum at x=3

Answers

Answer:

HURRYYYY PLEASE HELP ME T-T

Step-by-step explanation:

https://brainly.com/question/19692618

How many ounces are equal to 7 pounds?
1) 112 ounces
70 ounces
84 ounces
56 ounces
My Progress >

Answers

Answer:

112

Step-by-step explanation:

16 ounce multiply that by 7. 112. This correct i googed it

A stock was priced at $12., per share. It rose in price by s3 per share. What was its
new price?
OA) si
OB) 594
OC) sis
OD) 595

Answers

OD) is the right answer because this whole question doesn’t even make sense

a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years​

Answers

Step-by-step explanation:

2500×5%=125

125×2=250

2500+250=2750$

Answer:

2756.25 This is what he will pay going into the third year.

Step-by-step explanation:

This is not as simple as it looks. Is the base number always 2500 no matter how many years go by?

Or do you compound the rent after each Year.

Simple Interest

Rent after the first year

Rent after first year = 2500 + 5%*2500

Rent after first year = 2500 + 125

Rent after first year = 2625

The rent after the second year will be the same.

Compound interest.

Rent after first year is 2625

At the end of the second year it will be 2625 + 2625*5%

Second year payment = 2625 + 2625*5/100

Second year payment = 2625 + 131.25

Second year payment = 2756.25


Plot each point on the coordinate plane.


Answers

A left 3 time up 5 times.
B right 2 times down 4 times.
C start at the center then go up 3 times.
D just go to the right six times.
E left two times and down 7 times

I hoped that helped.

Find the measures of the exterior angle.

Answers

Answer:126

Step-by-step explanation:

The table shows of a ratio used to make of orange paint use a table how many quarts of yellow paint would be required to make the shade of orange if you use 9 quarts of red paint

Answers

Answer:

[tex]Y = 7\frac{1}{2}[/tex]

Step-by-step explanation:

Missing Table:

Yellow Paint ----------- Red Paint

5 ---------------------------------6

Required

Determine the quarts of yellow paints when 9 quarts of red are used

Represent Yellow with Y and Red with R.

When Y = 5 and R = 6, we have the following:

[tex]Y : R = 5 : 6[/tex]

Represent as a fraction

[tex]\frac{Y}{R} = \frac{5}{6}[/tex]

When R = 9 and Y is unknown, we have the following:

and

[tex]Y : R = Y : 9[/tex]

Represent as a fraction

[tex]\frac{Y}{R} = \frac{Y}{9}[/tex]

Since the given parameters re[resent a direct variation between both paints, we can equate both fractions to solve for Y

[tex]\frac{5}{6} = \frac{Y}{9}[/tex]

Multiply through by 9

[tex]9 * \frac{5}{6} = \frac{Y}{9} * 9[/tex]

[tex]9 * \frac{5}{6} = Y[/tex]

[tex]3 * \frac{5}{2} = Y[/tex]

[tex]\frac{15}{2} = Y[/tex]

[tex]7\frac{1}{2} = Y[/tex]

[tex]Y = 7\frac{1}{2}[/tex]

Hence, [tex]7\frac{1}{2}[/tex] quarts of the yellow paints is required

Dante wants to read a 425-page book in 3 days. He reads 178 pages on Monday and 146 pages on Tuesday. He wants to determine how many pages, p, he will have to read on Wednesday.

Answers

101 pages on Wednesday



Explanation:

425=178+146+p

Then you solve by adding the 178 and 146
425=324+p
Then subtract 324 from both sides
101=p

Answer:

101 pages

Step-by-step explanation:

first, you need to add the number of pages read on monday and the number of pages read on tuesday, and get 324. then, you subtract the number of pages read from the amount of pages there are, and get 101.

What is the answer ??

Answers

Answerd:

Step-by-step explanation:

Answer:

Put the dot on the 5/10 mark!

Step-by-step explanation:

please help me the blue line is what I have to solve for ​

Answers

Step-by-step explanation:

blue line = x

12c-8-2c+10-4=10c-x

(12-2)c+(10-4-8)=10c-x

10c-2=10c-x

=> x=2

I needddd helppp pleaseeeeee

Answers

Answer:

has to be letter b because they connect and then separate opposite sides


3x + 2
38
12/
12
30
12x-7

Answers

Answer:

djjfjhcuj7u

Step-by-step explanation:

5ug77hhig jk uyhvhbbijvcujgguihgguhgj

Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?

Answers

Answer:

$487.20

The answer is $487.20 if he expects to deposits $830.

I appreciate the help and if you don’t mind can someone please help me with this one too

Answers

Answer:

he must work 8 hours

Step-by-step explanation:

soln:

given,

$8=1 hour

or,$1=1/8 hour

so,

$64=64*1/8 hour

•°•$64=8 hours

Which of the following is a prime number between 20 and 30?
A. 27
B. 25
C. 21
D. 23

Answers

Answer:

23

Explanation:

A prime number can only be multiplied by itself and 1 and that is true for 23

Help meeeee pleaseee (10 points)

Answers

Answer:

48.7

Step-by-step explanation:

This is a right triangle, so let's use Pythagorean Thearum to solve.

a2+b2=c2 substitute the numbers in. [tex]35^2+b^2=60^2\\[/tex] = 1,225+b^2=3,600

subtract 1225 from 3600. 3600-1225=2375. Now we have to find the square root. [tex]\sqrt 2375[/tex] equals about 48.7

to double-check: 1225 + 2375 = 3600 this equation holds true. so 48.7 is the answer.

PLZ HELP ME! THIS IS DUE TODAY!

Pretend a classmate missed the lesson today. What would you tell them about how to make a table to represent a rate? How would you tell them how to use the table to make a graph?

Answers

Answer:

In order to make a table representing a rate, you would have to find the unit rate of what you need. Then you would take it and multiply it by the multiple, or divide it by the factor needed.

Step-by-step explanation: Example

Unit rate=1:2

                     Make multiples and input into graph(the colons represent the graph)

input:output

[1:2]

[2:4]

[3:6]

[4:8]

[5:10]

Answer:

I would tell them to copy what I am doing

What is the decimal value of 5/6

Answers

Answer:

0.83

Step-by-step explanation:

The 3 keeps going on and on and on :)

Hey there!

• In order to CONVERT a FRACTION to a DECIMAL, all you have to do is DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number)

• “What is the decimal value of 5/6?”

5 / 6 = 5 ÷ 6 → 0.83

Answer: 0.83 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Explain why there is no solution to the system of inequalities given below.​

Answers

Answer:

You end up getting the same equation!

Step-by-step explanation:

what are the factors of x^2-8x-20

Answers

Answer:

(x+2)(x−10)

Step-by-step explanation:

x^2-8x-20

Factoring means  something like  this:

(x+_)(x+_)

Add together to get -8

Multiply together to get -20

think of the two numbers

Try 2 and -10:

2+-10 = -8

2*-10 = -20

Fill in the blanks of  with 2 and -10 to get

(x+_)(x+_) = (x+2)(x−10)

I hope it's right!

Show me the steps to solving this equation. 3x + 2 = 14

Answers

Answer:

4

Step-by-step explanation:

multiply 3 by 4 to get 12 and add 12 to 2 and you get 14

which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8

Answers

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

How to determine the matrix?

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

Read more about matrix at:

https://brainly.com/question/1821869

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Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.

Answers

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

There are 36 boys and 12 girls at the Zephyrs baseball game practice. What is
the ratio of boys to girls?
a 4:1
C. 1.4
b. 3:1
d. 1:3

Answers

Answer:

Step-by-step explanation:

the ration of boys to girls will be:

36/12=3/1

choice b

another way

36 boys.........................12 girls  divide by 6

6 boys.............................2 girls   divide by 2

3 boys.............................1 girl

Eric wishes to triple the recipe how much of each ingredient should he use

Answers

Answer:

What are the measurements to begin with?

Step-by-step explanation:

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