First subtract 8.5 from both sides, then divide the -1.2 to get x by itself
x=1.5
Answer:
2nd one
Step-by-step explanation:
Answer:
Hence, the average rate of change is:
![\dfrac{97}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B97%7D%7B12%7D)
Step-by-step explanation:
We are asked to calculate the average value of the function:
in 2 ≤ x ≤ 6
The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:
![\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%286%29-f%282%29%7D%7B6-2%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bf%286%29-f%282%29%7D%7B4%7D)
Now,
![f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}](https://tex.z-dn.net/?f=f%286%29%3D36-%5Cdfrac%7B1%7D%7B6%7D-4%5C%5C%5C%5Cf%286%29%3D32-%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5Cf%286%29%3D%5Cdfrac%7B191%7D%7B6%7D)
![f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}](https://tex.z-dn.net/?f=f%282%29%3D4-%5Cdfrac%7B1%7D%7B2%7D-4%5C%5C%5C%5C%5C%5Cf%282%29%3D-%5Cdfrac%7B1%7D%7B2%7D)
Hence, the average rate of change is:
![\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B191%7D%7B6%7D-%5Cdfrac%7B-1%7D%7B2%7D%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B194%7D%7B6%5Ctimes%204%7D%5C%5C%5C%5C%3D%5Cdfrac%7B97%7D%7B12%7D)
Hence, the average rate of change is:
![\dfrac{97}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B97%7D%7B12%7D)
Answer:
slope =0
Step-by-step explanation:
its on the point (4,0) its not moving up and down therefor there's no slope