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2 years ago

Combine like terms for 2z - z + 6

Mathematics

1 answer:

zzz [600]2 years ago

5 0

If you combine 2z and -z you get z.

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3 years ago

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2 years ago

Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.

hoa [83]

Answer:

Hence, the average rate of change is:

$\dfrac{97}{12}$

Step-by-step explanation:

We are asked to calculate the average value of the function:

$f(x)=x^2-\dfrac{1}{x}-4$ in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:

$\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}$

Now,

$f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}$

$f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}$

Hence, the average rate of change is:

$\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}$

Hence, the average rate of change is:

$\dfrac{97}{12}$

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