Mathematics, 14.07.2019 05:00, ihatemylifebutohwell
Find the average rate of change of =2x^2-7x )
from x=2 to x=5. simplify your answer as much as possible.
Answers: 1
![\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\ -------------------------------\\\\ f(x)= 2x^2-7x \qquad \begin{cases} x_1=2\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(2)}{5-2} \\\\\\ \cfrac{[2(5)^2-7(5)]~~-~~[2(2)^2-7(2)]}{3}\implies \cfrac{[50-35]~~-~~[8-14]}{3} \\\\\\ \cfrac{15-[-6]}{3}\implies \cfrac{15+6}{3}\implies \cfrac{21}{3}\implies 7](/tpl/images/0087/4436/2c848.png)
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Find the average rate of change of [tex] f(x)=2x^2-7x [/tex] from x=2 to x=5. simplify your answer a...
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