X=18
Because you would add 2 to both sides so it would be x=16+2 which equals 18
Ya know what you gonna mood day and I didn’t understand why people should not answer my
Answer:
1, 3
Step-by-step explanation:
1. x > x
Technically, one number cannot be more than itself. It can only equal to itself.
3. –4 + x > –2 + x
If you minus x from both sides of the equation, it becomes:
-4 > -2
This is not true no matter what x is, thus it has no solution.
4. x – 2 < x + 3
If you add 2 on both sides, it becomes:
x < x + 5
This inequality is possible and has infinitely many solutions.
Note: I will update this answer and address Question 2 once the inequality sign is given :)
Answer:
1⅕ or 1.2 cups of sugar
Step-by-step explanation:
Flour : Sugar
5 : 2
3 : X
5/2 = 3/X
X = 3×2/5
X = 6/5 cups
1⅕ or 1.2 cups of sugar
Answer:
V = 8.06 cubed units
Step-by-step explanation:
You have the following curves:
In order to calculate the solid of revolution bounded by the previous curves and the x axis, you use the following formula:
![V=\pi \int_a^b [(g(x))^2-(f(x))^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_a%5Eb%20%5B%28g%28x%29%29%5E2-%28f%28x%29%29%5E2%5Ddx)
(1)
To determine the limits of the integral you equal both curves f=g and solve for x:
Then, the limits are a = -1 and b = 1
You replace f(x), g(x), a and b in the equation (1):
![V=\pi \int_{-1}^{1}[(\frac{13}{9}-x^2)^2-(\frac{4}{9}x^2)^2]dx\\\\V=\pi \int_{-1}^1[\frac{169}{81}-\frac{26}{9}x^2+x^4-\frac{16}{81}x^4]dx\\\\V=\pi \int_{-1}^1 [\frac{169}{81}-\frac{26}{9}x^2+\frac{65}{81}x^4]dx\\\\V=\pi [\frac{169}{81}x-\frac{26}{27}x^3+\frac{65}{405}x^5]_{-1}^1\\\\V\approx8.06\ cubed\ units](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7B-1%7D%5E%7B1%7D%5B%28%5Cfrac%7B13%7D%7B9%7D-x%5E2%29%5E2-%28%5Cfrac%7B4%7D%7B9%7Dx%5E2%29%5E2%5Ddx%5C%5C%5C%5CV%3D%5Cpi%20%5Cint_%7B-1%7D%5E1%5B%5Cfrac%7B169%7D%7B81%7D-%5Cfrac%7B26%7D%7B9%7Dx%5E2%2Bx%5E4-%5Cfrac%7B16%7D%7B81%7Dx%5E4%5Ddx%5C%5C%5C%5CV%3D%5Cpi%20%5Cint_%7B-1%7D%5E1%20%5B%5Cfrac%7B169%7D%7B81%7D-%5Cfrac%7B26%7D%7B9%7Dx%5E2%2B%5Cfrac%7B65%7D%7B81%7Dx%5E4%5Ddx%5C%5C%5C%5CV%3D%5Cpi%20%5B%5Cfrac%7B169%7D%7B81%7Dx-%5Cfrac%7B26%7D%7B27%7Dx%5E3%2B%5Cfrac%7B65%7D%7B405%7Dx%5E5%5D_%7B-1%7D%5E1%5C%5C%5C%5CV%5Capprox8.06%5C%20cubed%5C%20units)
The volume of the solid of revolution is approximately 8.06 cubed units
