Answer:
The area is 42 area units.
Step-by-step explanation:
The area of a function f(x) on an interval [a,b] is given by:
![A = \int\limits^a_b {f(x)} \, dx](https://tex.z-dn.net/?f=A%20%3D%20%5Cint%5Climits%5Ea_b%20%7Bf%28x%29%7D%20%5C%2C%20dx)
Applying to this question:
![A = \int\limits^-1_2 {x^2 - 8x + 17} \, dx](https://tex.z-dn.net/?f=A%20%3D%20%5Cint%5Climits%5E-1_2%20%7Bx%5E2%20-%208x%20%2B%2017%7D%20%5C%2C%20dx)
Then
![F(x) = \frac{x^{3}}{3} - 4x^{2} + 17x](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D%20-%204x%5E%7B2%7D%20%2B%2017x)
![A = F(2) - F(-1)](https://tex.z-dn.net/?f=A%20%3D%20F%282%29%20-%20F%28-1%29)
![F(2) = frac{2^{3}}{3} - 4*2^{2} + 17*2 = \frac{8}{3} + 18 = \frac{8 + 3*18}{3} = \frac{62}[3}](https://tex.z-dn.net/?f=F%282%29%20%3D%20frac%7B2%5E%7B3%7D%7D%7B3%7D%20-%204%2A2%5E%7B2%7D%20%2B%2017%2A2%20%3D%20%5Cfrac%7B8%7D%7B3%7D%20%2B%2018%20%3D%20%5Cfrac%7B8%20%2B%203%2A18%7D%7B3%7D%20%3D%20%5Cfrac%7B62%7D%5B3%7D)
![F(-1) = frac{(-1)^{3}}{3} - 4*(-1)^{2} + 17*(-1) = -\frac{1}{3} - 21 = \frac{-1 - 21*3}{3} = -\frac{64}[3}](https://tex.z-dn.net/?f=F%28-1%29%20%3D%20frac%7B%28-1%29%5E%7B3%7D%7D%7B3%7D%20-%204%2A%28-1%29%5E%7B2%7D%20%2B%2017%2A%28-1%29%20%3D%20-%5Cfrac%7B1%7D%7B3%7D%20-%2021%20%3D%20%5Cfrac%7B-1%20-%2021%2A3%7D%7B3%7D%20%3D%20-%5Cfrac%7B64%7D%5B3%7D)
![A = F(2) - F(-1) = \frac{62}[3} - (-\frac{64}[3}) = \frac{62+64}{3} = 42](https://tex.z-dn.net/?f=A%20%3D%20F%282%29%20-%20F%28-1%29%20%3D%20%5Cfrac%7B62%7D%5B3%7D%20-%20%28-%5Cfrac%7B64%7D%5B3%7D%29%20%3D%20%5Cfrac%7B62%2B64%7D%7B3%7D%20%3D%2042)
The area is 42 area units.
Answer:
Jorge was charged for 10 hours that month
Step-by-step explanation:
Given : Jorge’s monthly bill from his Internet service provider was $25.
Also given : The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used
We have to find the number of hours that Jorge was charged for that month.
Let the number of hour be x,
Total bill = base rate + 1 (number of hours used)
Total bill = base rate + 1(x)
Substitute the values, we get,
⇒ 25 = 15 + 1 (x)
Solving we get,
⇒ 25 - 15 = x
10 = x
Thus, Jorge was charged for 10 hours that month
Answer:
I don't see the photo. Can't help OOF
Step-by-step explanation:
Answer:
4(r+4)(r-4)
Step-by-step explanation:
If you factor it out, then it will be 4(r+4)(r-4). You can double check by multiplying it.