MATHEMATICS MIDDLE SCHOOL

What is the average rate of change of f(x)=1/4x^2-4 over the interval from 0 to 3?

Answers

Answer 1

Answer:

Answer:

1/4

Step-by-step explanation:

To find the average rate of change we find

f(3) -f(0)

----------

3-0

We need to find f(3) = 1/4 (3)^2 -4 = 1/4 (9) -4 = 9/4 -4 = -7/4

f(0) = 1/4 (0)^2 - 4 = -4

f(3) -f(0)

----------

3-0

-7/4 - (-4)

---------------

3-0

-7/4 +4

-----------

3-0

-7/4 +4

-----------

3-0

-7/4 +16/4

----------------

9/4

---------

9/12

1/4

Answer 2

Answer:

Answer:

3/4

Step-by-step explanation:

The x values are 0 and 3. Use the formula y2-y1/x2-x1

Plug in the x factors into the orginal equation. Should look like the equations below:

f(x)=1/4(0)^2-4 -------> -4

f(x)=1/4(3)^2-4 --------> -7/4Now plug it in to the formula we saved earlier.

-7/4-(-4)/3-0= -7/4+4/3= -7/4+16/4/3

Then simplify it.

9/4/3, and in this case we have a fraction in a fraction and when this happens just multiply the equation by the x variables reciprical which in this case the x is 3 so the equation is multiplied by 1/3 and you would get 9/12. Now simplify that and you get 3/4.

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3.82e+7 in standard form explain

Answers

" e+7 " means the same thing as " x 10⁷ ".

They both mean "move the decimal point 7 places that way ===> ."

So take the 3.82 and do that to it.

If there aren't enough places to move the decimal point far enough,
then add some zeros onto the end of the 3.82 before you move
the point.

The two tables below show the amount of tip, y, included on a bill charging x dollars. A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3. A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15. Which compares the slopes of the lines created by the tables? The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A. The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A. The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A. The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.

Answers

Answer:

it would a

Step-by-step explanation:

Answer:a

Step-by-step explanation:

What is this simbol
$√(?)$

Answers

That symbol is radical sign

Square root of a number

Yolanda spends 8 2⁄3 hours per month playing soccer. Approximately how many hours does she play soccer in a year? (There are twelve months in a year.)

Answers

Convert the mixed fraction into an improper fraction:

$8 * 3 = 24$
$24 + 2 = 26$

$8(2)/(3) = (26)/(3)$

Multiply the amount hours Yolanda plays per month by how many months there are in a year:

$(26)/(3) * 12 = (312)/(3)$

Simplify the fraction:

$312 / 3 = 104$

Yolanda spends 104 hours playing soccer in a year.

8.667 X 12 = 104(approximately)
because 2/3 =0.666666666666

Between what pair of numbers is the product of 289 and 7

Answers

The product of 289 and 7 is 2023

So 2023 is in between the pair of numbers 2022 and 2024

or even in between the pair of numbers 2020 and 2025. You can make a lot of pairs, haha.

The Product of 289 and 7 is 2023

Hoped it helped!

What number has the same value as 14 tens?

Answers

14 tens is equal to 140, and here's why:

14 times 10 is 140,
that's like adding 14 tens to each other

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The product of 87 and an unknown number subtracted from 65 is equal to the product of -43 and the same number.

Plz help15 points and best answer to the first answer!

???? i am confusion ????