<h2><u>
Answer:</u></h2>
<u />
<h2><u>
</u></h2><h2><u>
S</u><u>olution Steps: </u></h2><h3>- Graphing -</h3><h3>______________________________
</h3><h3>
</h3><h3>1.) <u>Graph:</u></h3>
- Since we know
, you graph 
on the 
-axis. And this is an ending, meaning it doesn't go on forever.
- However, we don't know what
is. So because we don't know what is we still graph it but it'll go on forever.
<em> - You can either graph this like this, OR graph this using desmos.com. </em>
<h3><u /></h3><h3><u>Vertical or Horizontal?</u> </h3>
Horizontal, Left and Right.
- <em />
<em> </em>Vertical, Up and Down.
- So since we know is, (Horizontal,) we have to graph , (Vertical.) So to sum this up, this just means whatever variable you don't know yet, that will be the one that you graph as an infinite.
<h3>______________________________
</h3><h3 />
Answer:
![\sqrt[3]{3140^2\pi}\approx 146.41\ ft^2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3140%5E2%5Cpi%7D%5Capprox%20146.41%5C%20ft%5E2)
Step-by-step explanation:
The volume of the cylinder is
where r is the base radius and H is the height.
Since 
and V=1570 cubic feet, then
![1570=\pi r^2\cdot \dfrac{r}{2},\\ \\1570=\dfrac{\pi r^3}{2},\\ \\r^3=\dfrac{3140}{\pi},\\ \\r=\sqrt[3]{\dfrac{3140}{\pi}}\ ft.](https://tex.z-dn.net/?f=1570%3D%5Cpi%20r%5E2%5Ccdot%20%5Cdfrac%7Br%7D%7B2%7D%2C%5C%5C%20%5C%5C1570%3D%5Cdfrac%7B%5Cpi%20r%5E3%7D%7B2%7D%2C%5C%5C%20%5C%5Cr%5E3%3D%5Cdfrac%7B3140%7D%7B%5Cpi%7D%2C%5C%5C%20%5C%5Cr%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3140%7D%7B%5Cpi%7D%7D%5C%20ft.)
The area of its bottom floor is
![A_{floor}=\pi r^2=\pi\cdot \left(\sqrt[3]{\dfrac{3140}{\pi}}\right)^2= \sqrt[3]{3140^2\pi}\approx 146.41\ ft^2.](https://tex.z-dn.net/?f=A_%7Bfloor%7D%3D%5Cpi%20r%5E2%3D%5Cpi%5Ccdot%20%5Cleft%28%5Csqrt%5B3%5D%7B%5Cdfrac%7B3140%7D%7B%5Cpi%7D%7D%5Cright%29%5E2%3D%20%5Csqrt%5B3%5D%7B3140%5E2%5Cpi%7D%5Capprox%20146.41%5C%20ft%5E2.)
Answer 0 because you need to use inverse operations
Answer:
x = - 3, x = 
Step-by-step explanation:
Given
4x² + 2x - 30 = 0 ( divide through by 2 )
2x² + x - 15 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 15 = - 30 and sum = + 1
The factors are + 6 and - 5
Use these factors to split the x- term
2x² + 6x - 5x - 15 = 0 ( factor the first/second and third/fourth terms )
2x(x + 3) - 5(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(2x - 5) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
The answer is the third one
-the hours are unknown so its 6+4h
the total is 130 and she earns an extra 20 dollars so
(6+4)h+20=130
