<span>-4x<-12
4x > 12
x > 3
answer
x > 3 </span>
The average of her grocery shopping is $114.56. How you get the average is you add all of the numbers together and divide by how many numbers there are. And in this case, there were 3 numbers. Hope this helps! :)
Answer:
32
Step-by-step explanation:
3.0 x 10^9. Three times ten to the ninth power
Look at the picture.
The formula of the volume of the solid created by the rotation around to the
x - axis
![y=f(x);\ x\in\left\ \textless \ a;\ b\right\ \textgreater \ \\\\|V|=\pi\int\limits_a^bf^2(x)dx](https://tex.z-dn.net/?f=y%3Df%28x%29%3B%5C%20x%5Cin%5Cleft%5C%20%5Ctextless%20%5C%20%20a%3B%5C%20b%5Cright%5C%20%5Ctextgreater%20%5C%20%5C%5C%5C%5C%7CV%7C%3D%5Cpi%5Cint%5Climits_a%5Ebf%5E2%28x%29dx)
We have:
![f(x)=9;\ x\in\left< 0;\ 6\right>](https://tex.z-dn.net/?f=f%28x%29%3D9%3B%5C%20x%5Cin%5Cleft%3C%200%3B%5C%206%5Cright%3E)
![\int f^2(x)dx=\int9^2dx=\int81dx=81x\\\\|V|=\pi\int\limits_0^69^2dx=\pi\left81x\right]^6_0=\pi(81\cdot6-81\cdot0)=\pi\cdot486=486\pi\\\\|V|=486\pi\approx486\cdot3.14=1526.0\ units^3](https://tex.z-dn.net/?f=%5Cint%20f%5E2%28x%29dx%3D%5Cint9%5E2dx%3D%5Cint81dx%3D81x%5C%5C%5C%5C%7CV%7C%3D%5Cpi%5Cint%5Climits_0%5E69%5E2dx%3D%5Cpi%5Cleft81x%5Cright%5D%5E6_0%3D%5Cpi%2881%5Ccdot6-81%5Ccdot0%29%3D%5Cpi%5Ccdot486%3D486%5Cpi%5C%5C%5C%5C%7CV%7C%3D486%5Cpi%5Capprox486%5Ccdot3.14%3D1526.0%5C%20units%5E3)
Answer:
D. 1526.0 units^3.