![\frac{5}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20)
+
![\frac{1}{36}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B36%7D%20)
First, find the least common denominator (LCD) of the two denominators.
12: 12, 24, 36
36: 36
The LCD is 36.
Second, make the denominators the same as the LCD. / Your problem should look like:
![\frac{5x3}{12x3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5x3%7D%7B12x3%7D%20)
+
Third, simplify. The denominators are the same now. / Your problem should look like:
![\frac{15}{36}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B36%7D%20)
+
Fourth, join the denominators. / Your problem should look like:
Fifth, simplify. / Your problem should look like:
Sixth, simplify. / Your problem should look like:
![\frac{4}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B9%7D%20)
Answer as fraction:
![\frac{4}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B9%7D%20)
Answer as decimal: 0.4444
Y=4/3-1/4 I guess. I am not sure for the 1/4
Answer:
Hi, Can You answer mine too I really need the answer because I have to pass it tomorrow morning it's 9-12:(
Step-by-step explanation:
about your question I'll just put it in the comment section
Answer:
So, the volume V is
![V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
Step-by-step explanation:
We have that:
![y=7x\\\\y=0\\\\x=1\\\\x=-4\\](https://tex.z-dn.net/?f=y%3D7x%5C%5C%5C%5Cy%3D0%5C%5C%5C%5Cx%3D1%5C%5C%5C%5Cx%3D-4%5C%5C)
We have the formula:
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5Cg%28x%29%3Ef%28x%29.)
We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is
![V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
We use software to draw the graph.
![(3x - 5) + ( {x}^{2} + 1) \\ 3x - 5 + {x}^{2} + 1 \\ {x}^{2} + 3x - 4](https://tex.z-dn.net/?f=%283x%20-%205%29%20%2B%20%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%201%29%20%5C%5C%203x%20-%205%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%201%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%204)
Therefore the answer is x²+3x-4