Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
![f(x)=9-x^2](https://tex.z-dn.net/?f=f%28x%29%3D9-x%5E2)
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
![f(0)=9-(0)^2=9](https://tex.z-dn.net/?f=f%280%29%3D9-%280%29%5E2%3D9)
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
![f(x)=9-(3)^2=0](https://tex.z-dn.net/?f=f%28x%29%3D9-%283%29%5E2%3D0)
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
![\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B0-9%7D%7B3-0%7D%3D%5Cfrac%7B-9%7D%7B3%7D%3D-3)
Answer:
Volume of the cylinder =
Step-by-step explanation:
Radius(r) of the cylinder= ![12\,inches](https://tex.z-dn.net/?f=12%5C%2Cinches)
Height(h) of the cylinder= ![17\,inches](https://tex.z-dn.net/?f=17%5C%2Cinches)
Volume of a cylinder is :
![\pi \times r^2\times h](https://tex.z-dn.net/?f=%5Cpi%20%5Ctimes%20r%5E2%5Ctimes%20h)
As,
![\pi =\dfrac{22}{7}=3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%5Cdfrac%7B22%7D%7B7%7D%3D3.14)
Volume is:
![=3.14\times (12\times 12)\times 17\\\\=3.14\times 144 \times 17\\\\=3.14\times 2448\\\\=7686.72\,inches^3](https://tex.z-dn.net/?f=%3D3.14%5Ctimes%20%2812%5Ctimes%2012%29%5Ctimes%2017%5C%5C%5C%5C%3D3.14%5Ctimes%20144%20%5Ctimes%2017%5C%5C%5C%5C%3D3.14%5Ctimes%202448%5C%5C%5C%5C%3D7686.72%5C%2Cinches%5E3)
The volume of the cylinder is:
1.11 2.14 3.10 4.9 5.-5 6.-8 7.11 8.40 9.9 10.12 11.30 12.22 13.3 14.-4 15.16 16.35
Answer:
A
Step-by-step explanation:
20 miles = 95 minutes
X miles = 285 minutes
95/20 = 4.75
285/4.75 = 60
Answer is A (60)
Hope this helps