Answer:
X=5
Step-by-step explanation:
-3x+8=-7
-3x=-15
X=5
Answer:

Step-by-step explanation:
We are given that a function

We have to find the average value of function on the given interval [0,7]
Average value of function on interval [a,b] is given by

Using the formula

![f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7B7%7D%5Be%5E%7B%5Cfrac%7Bx%7D%7B7%7D%7D%5Ctimes%207%29%5D%5E%7B7%7D_%7B0%7D)
By using the formula


Because 

Hence, the average value of function on interval [0,7]

Answer: 
Step-by-step explanation:
Let the given parabolic mirror opens upwards and vertex=(0,0)
Focus point of the parabolic mirror is located 2 inches from the vertex of the mirror. ∴ p=2
Since, the parabola opens upward, then the equation of the parabola is of the form 
Substitute the value of p=2 in this, we get the equation of the parabolic mirror

Hence, the equation of the parabola that models the cross section of the mirror is 