3 years ago

I need help doing this

Mathematics

1 answer:

olga_2 [115]3 years ago

3 0

(-3,6) is were the lines intersect

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If x=7 and y=−2, evaluate the following expression:2xy

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The average rate of change of g(x) between x = 4 and x = 7 is 5/6 . Which statement must be true?

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Answer:

$\frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}$ would be the correct statement.

Step-by-step explanation:

As we know that

Average rate of change = Change in output / Change in input

= Δy / Δx

$=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

$=\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}$

$=\frac{g(7)-g(4)}{7-4}$

As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.

$\:Average\:rate\:of\:change\:=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}$

$\frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}$

Therefore, $\frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}$ would be the correct statement.

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