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valkas [14]
3 years ago
14

What’s the average rate of change...

Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Average Rate of Change is given by the Slope of the Function

We know that :

✿ \bold{Slope(m) = \frac{y_2 - y_1}{x_2 - x_1}}

The Given Points are : (3 , -10) and (5 , -26)

Here : x₁ = 3 and x₂ = 5 and y₁ = -10 and y₂ = -26

\bold{Slope(m) = \frac{-26 + 10}{5 - 3} = \frac{-16}{2} = -8}

✿ Option C is the Answer

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The correct works are:

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The function is given as:

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The interpretation when Steven is asked to calculate Blue(s + h) is that:

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Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

<h3>Simplifying Difference Quotient</h3>

In (a), we have:

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

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The difference quotient is represented as:

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\frac{Blue(s + h) - Blue(s)}{h} = \frac{2s^2 + 4sh + 2h^2 + 3 - 2s^2 - 3}{h}

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\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

Hence, the correct work is:

\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

Read more about function notations at:

brainly.com/question/13136492

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