Answer:
The average rate of change is:
![\frac{13}{161}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B161%7D)
Step-by-step explanation:
The rational function given to us is;
![f(x)=\frac{3x+4}{2x+7}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x%2B4%7D%7B2x%2B7%7D)
![f(0)=\frac{3(0)+4}{2(0)+7}](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B3%280%29%2B4%7D%7B2%280%29%2B7%7D)
![f(0)=\frac{4}{7}](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B4%7D%7B7%7D)
![f(8)=\frac{3(8)+4}{2(8)+7}](https://tex.z-dn.net/?f=f%288%29%3D%5Cfrac%7B3%288%29%2B4%7D%7B2%288%29%2B7%7D)
![f(0)=\frac{28}{23}=1](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B28%7D%7B23%7D%3D1)
The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:
(0,f(0)) and (8,f(8))
Average rate of change =![=\frac{f(8)-f(0)}{8-0}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bf%288%29-f%280%29%7D%7B8-0%7D)
![=\frac{\frac{28}{23}-\frac{4}{7} }{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cfrac%7B28%7D%7B23%7D-%5Cfrac%7B4%7D%7B7%7D%20%7D%7B8%7D)
![=\frac{13}{161}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B13%7D%7B161%7D)
x=9
Add 6 to both sides of the equation. x = 3 + 6
Add 3and 6.
x=9
Answer:
use the formula and evaluate the givens
Step-by-step explanation:
336=(14/11)^2 * 22/7*h
336=196/121 * 22/7h
336= 4312/847h
336= 5.09h
h=66