Answer:
The average rate of change is 8.
Step-by-step explanation:
The formula to calculate the average rate of change of a function F(x) is:
![\frac{F(b)-F(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7BF%28b%29-F%28a%29%7D%7Bb-a%7D)
In this case, F(x) = ![0.5x^{2} +5x+9](https://tex.z-dn.net/?f=0.5x%5E%7B2%7D%20%2B5x%2B9)
a=2 and b=4
You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.
In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:
F(b) = ![(0.5)4^{2} + 5(4) +9= 37](https://tex.z-dn.net/?f=%280.5%294%5E%7B2%7D%20%2B%205%284%29%20%2B9%3D%2037)
F(a) = ![(0.5)2^{2} + 5(2)+9=21](https://tex.z-dn.net/?f=%280.5%292%5E%7B2%7D%20%2B%205%282%29%2B9%3D21)
![\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8](https://tex.z-dn.net/?f=%5Cfrac%7BF%28b%29-F%28a%29%7D%7Bb-a%7D%20%3D%20%5Cfrac%7B37-21%7D%7B4-2%7D%3D%5Cfrac%7B16%7D%7B2%7D%20%3D%208)
The answer is 8.
This is what the graph of in(x) looks like
Answer:
hope its helpful to uh.......
Answer:
6x ≥ 500
Step-by-step explanation:
I took the test but also it means that in six months, you have to save that amount of money to get exactly or more than 500, so this would be the correct answer!
Answer:
it's D
Step-by-step explanation: