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Arturiano [62]
3 years ago
8

Use the Distributive Property to determine which of the following statements is equivalent to 5(6 – 1).

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

\text{You would use the distributive property to get your answer} \\\\\text{This means that you would distribute the 5 to the numbers inside the}\\\text{parenthesis}\\\\\text{When you distribute, you would multiply}\\\\\text{Distribute:}\\\\5(6-1)\\\\5(6)-5(1)\\\\30-5\\\\\text{You would see that this is equal to answer choice C, therefore making}\\\text{C your answer}\\\\\boxed{\text{C). 30 - 5}}

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Consider the function given by f(x)= x² +3. Find its average rate of change from x = -2 to x = 4.
xxTIMURxx [149]

Answer:

Rate = 2

Step-by-step explanation:

Given

f(x) = x^2 + 3

Required

Determine the average rate of change from -2 to 4

This is calculated using:

Rate = \frac{f(b) - f(a)}{b - a}

In this case:

a = -2

b = 4

So, we have:

Rate = \frac{f(b) - f(a)}{b - a}

Rate = \frac{f(4) - f(-2)}{4 - (-2)}

Rate = \frac{f(4) - f(-2)}{4 +2}

Rate = \frac{f(4) - f(-2)}{6}

Calculate f(4):

f(x) = x^2 + 3

f(4) = 4^2 + 3

f(4) = 19

Calculate f(-2)

f(x) = x^2 + 3

f(-2) = (-2)^2 + 3

f(-2) = 7

So:

Rate = \frac{f(4) - f(-2)}{6}

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Rate = \frac{12}{6}

Rate = 2

<em>The average rate of change is 2.</em>

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3 years ago
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