Answer;
he missed 4 of his shots
Step-by-step explanation:
we know that
The average rate of change of the function f(x) over the interval [a,b] is equal to
![\frac{(f(b)-f(a))}{(b-a)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28f%28b%29-f%28a%29%29%7D%7B%28b-a%29%7D%20%20)
in this problem
![f(x)=17 -x^{2}](https://tex.z-dn.net/?f=%20f%28x%29%3D17%20-x%5E%7B2%7D%20%20%20%20%20)
interval [a,b]---------->![[1,5]](https://tex.z-dn.net/?f=%20%20%5B1%2C5%5D%20)
for ![x=1](https://tex.z-dn.net/?f=%20x%3D1%20)
![f(1)=17 -1^{2} =16](https://tex.z-dn.net/?f=%20f%281%29%3D17%20-1%5E%7B2%7D%20%3D16%20%20%20%20)
for ![x=5](https://tex.z-dn.net/?f=%20x%3D5%20)
![f(5)=17 -5^{2} =-8](https://tex.z-dn.net/?f=%20f%285%29%3D17%20-5%5E%7B2%7D%20%3D-8%20%20%20%20)
substitute the values
![\frac{(f(b)-f(a))}{(b-a)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28f%28b%29-f%28a%29%29%7D%7B%28b-a%29%7D%20%20)
![\frac{(-8-16)}{(5-1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28-8-16%29%7D%7B%285-1%29%7D%20%20)
![=-6](https://tex.z-dn.net/?f=%20%3D-6%20)
therefore
<u>the answer is</u>
The average rate of change is equal to ![-6](https://tex.z-dn.net/?f=%20-6%20)
Step-by-step explanation:
<u>Subtract </u><u>15</u><u> </u><u>from</u><u> </u><u>both</u><u> </u><u>sides</u><u>:</u>
![10x = 25 + 4x](https://tex.z-dn.net/?f=10x%20%3D%2025%20%2B%204x)
<u>Subtract 4x </u><u>from</u><u> both sides:</u>
![6x = 25](https://tex.z-dn.net/?f=6x%20%3D%2025)
<u>Divide each side by 6:</u>
![x = 4 \frac{1}{6}](https://tex.z-dn.net/?f=x%20%3D%204%20%5Cfrac%7B1%7D%7B6%7D%20)
This isn’t possible. This can be a fraction, which is 1/2 in simplest terms. If you want to use a decimal, 0.5 is the answer.
Answer:
7
Step-by-step explanation: