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3 years ago

Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x

Mathematics

1 answer:

vladimir1956 [14]3 years ago

4 0

$\dfrac{f(x)}{g(x)}=\dfrac{8x^3+16x^2-15}{2x+1}$

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3 years ago

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3 years ago

Which volume could belong to a cube with a side length that is an integer? Recall the formula Cube volume = s cubed. 18 cubic in

irina1246 [14]

We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.

We know that volume of a cube is cube of each side length.

To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.

A. $s^3=18$

$\sqrt[3]{s^3}=\sqrt[3]{18}$

$s=2.62074$

Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.

B. $s^3=36$

$\sqrt[3]{s^3}=\sqrt[3]{36}$

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Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.

C. $s^3=64$

$\sqrt[3]{s^3}=\sqrt[3]{64}$

$s=4$

Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.

D. $s^3=100$

$\sqrt[3]{s^3}=\sqrt[3]{100}$

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Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.

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3 years ago

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As she climbs a hill, a cyclist slows down from 25 km/hr to 3 km/hr in 10 seconds. What is her deceleration?

qaws [65]

Deceleration is always the opposite of Acceleration so is negative. So deceleration =-2.2m/s^2

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3 years ago

What can 6/10 symplify to?

ludmilkaskok [199]

How you simplify fractions is figuring out what the highest number that can go into them is.
I now that's a bit confusing but I'll explain.
In this case, 2 can go into both 10 and six, (because 2×5=10 and 2×3=6) and no higher number can, so the simplified version of 6/10 is 3/5. (the numbers we multiplied by 2)

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4 years ago

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