Answer:
y - 2 = -(x + 4)
Step-by-step explanation:
A max at (-4, 2) could very well be the vertex (as well as the max) of a parabola that opens down. The vertex form of a parabola is:
y - k = a(x - h), where (h, k) is the vertex or maximum.
Given that our max is at (-4, 2), write: y - 2 = -(x + 4), with that " - " sign stemming from the fact that the parabola opens down.
(x-8)(x+7)
so x2 makes the 2 x’s at the start then 8 times 7 is 56
First multiply then divide
81÷9
=9
Answer:
x=5
Step-by-step explanation:
![((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\](https://tex.z-dn.net/?f=%28%28x%2B3%29%2F4%29%2B%28%28%282x-12%29-1%29%2F3%29%3D1%5C%5C%5Cfrac%7Bx%2B3%7D%7B4%7D%20%2B%5Cfrac%7B2x-12-1%7D%7B3%7D%20%3D1%5C%5C%5Cfrac%7Bx%2B3%7D%7B4%7D%20%2B%5Cfrac%7B2x-13%7D%7B3%7D%20%3D1%5C%5C)
Now we have to cross multiply the denominator to progress further.
![\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5](https://tex.z-dn.net/?f=%5Cfrac%7B3%28x%2B3%29%7D%7B4%2A3%7D%20%2B%5Cfrac%7B4%282x-13%29%7D%7B3%2A4%7D%20%3D1%5C%5C%5Cfrac%7B3x%2B9%7D%7B12%7D%20%2B%5Cfrac%7B8x-52%7D%7B12%7D%20%3D1%5C%5C%5Cfrac%7B3x%2B9%2B%288x-52%29%7D%7B12%7D%20%3D1%5C%5C%5Cfrac%7B3x%2B9%2B8x-52%7D%7B12%7D%20%3D1%5C%5C%5Cfrac%7B11x-43%7D%7B12%7D%20%3D1%5C%5C11x-43%3D12%5C%5C11x%3D43%2B12%5C%5C11x%3D55%5C%5Cx%3D%5Cfrac%7B55%7D%7B11%7D%20%5C%5C%3D5)
Answer:
![720\pi](https://tex.z-dn.net/?f=720%5Cpi)
Step-by-step explanation:
Translating to English:
A cylinder has a volume that is 25% greater than a sphere with a surface area of
. What is the cylinder's volume?
<u>Solution:</u>
This isn't a hard question. You do not need to get inside the nitty gritty of the formula for volumes and surface areas. The SA of sphere is given and we are told the VOLUME of CYLINDER is 25% GREATER THAN THIS!
So, we just need to figure out what is 25% greater than ![576\pi](https://tex.z-dn.net/?f=576%5Cpi)
Lets keep the
as constant and find 25% greater than 576 and we tag along the
.
We need to find 25% of 576 and add it to 576 to get our answer.
25% = 25/100 = 0.25
So,
0.25*576 = 144
So,
144 + 576 = 720
The answer would be ![720\pi](https://tex.z-dn.net/?f=720%5Cpi)
The 2nd answer choice (with a typo here), is correct.