-3y = -2x - 1
y = x - 1
Substitute the y in the first problem for it's equivalent (the second problem):
-3(x - 1) = -2x - 1
Distribute
-3x + 3 = -2x - 1
Add 2x to both sides
-1 x + 3 = -1
Subtract 3 from both sides
-1x = -4
x = 4
Now put that back into one of the original equations:
y = x - 1
y = 4 - 1
y = 3
So, x is 4 and y is 3.
If you wanted to rotate f(x) around the y axis from x=a to x=b then the volume would be
that would be
1/x^10=x^-10
integrate
-1/(9x^9)
so
=
![\pi [\frac{-1}{9x^{9}}]^8_1=\pi (\frac{-1}{9(8^{9})}-\frac{-1}{9(1^{9})})=](https://tex.z-dn.net/?f=%5Cpi%20%5B%5Cfrac%7B-1%7D%7B9x%5E%7B9%7D%7D%5D%5E8_1%3D%5Cpi%20%28%5Cfrac%7B-1%7D%7B9%288%5E%7B9%7D%29%7D-%5Cfrac%7B-1%7D%7B9%281%5E%7B9%7D%29%7D%29%3D)
that's the volume of the solid
Answer:
x<3
Step-by-step explanation:
Comparing fractions with different denominators is simply with this simple method!
Cross multiply
99 100
9 10
10 11
100 is bigger than 99.
10/11 is bigger then 9/10
What is the smallest number divisible by 3, 4, 32 and 9?
You might want to try factoring these denominators and writing them in their factored form:
3, 2^2, 2^5, 3^2
Your LCD must include the following factors: 3^2 and 2^5, or 9 and 32. Multiplying these together results in the correct LCD 9*32=288.
Check: Is 288 divisible by 3? Yes. The quotient is 96.
Is 288 divisible by 4? Yes. Is 288 divisible by 32? Yes. Is 288 divisible by 9? Yes.
