Answer:
x = 2
y = 1
Step-by-step explanation:
3x - y = 5..............(1)× 1
2x + y = 5...….......(2)× 1
3x - y = 5..............(3)
2x + y = 5.............(4)
Cancel y
3x + 2x = 5 + 5
5x = 10
Divide both sides by 5
x = 2
Substitute for the value of y
3x - y = 5
3(2) - y = 5
6 - y = 5
6 - 5 = y
1 = y
y = 1
Answer:
Step-by-step explanation:
In general:
Volume = (the area of the base of the figure) times (the figure's height)
Here, the area of the base is 4 square feet, the height is 2 1/2 foot = 5/2 foot
Our Volume is then:
4 square feet * 5/2 foot = 10 cubic feet
4 hours? i may be wrong
i did - 60 * 15
seems about right, since 50% would be 7.5 hours?
Recall that
![|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x](https://tex.z-dn.net/?f=%7Cx%7C%3D%5Cbegin%7Bcases%7Dx%26%5Ctext%7Bif%20%7Dx%5Cge0%5C%5C-x%26%5Ctext%7Bif%20%7Dx%3C0%5Cend%7Bcases%7D)
There are three cases to consider:
(1) When
![x+2](https://tex.z-dn.net/?f=x%2B2%3C0)
, we have
![|x+2|=-(x+2)](https://tex.z-dn.net/?f=%7Cx%2B2%7C%3D-%28x%2B2%29)
and
![|x-2|=-(x-2)](https://tex.z-dn.net/?f=%7Cx-2%7C%3D-%28x-2%29)
, so
![|x-2|+|x+2|=-(x-2)-(x+2)=-2x-4](https://tex.z-dn.net/?f=%7Cx-2%7C%2B%7Cx%2B2%7C%3D-%28x-2%29-%28x%2B2%29%3D-2x-4)
(2) When
![x+2\ge0](https://tex.z-dn.net/?f=x%2B2%5Cge0)
and
![x-2](https://tex.z-dn.net/?f=x-2%3C0)
, we get
![|x+2|=x+2](https://tex.z-dn.net/?f=%7Cx%2B2%7C%3Dx%2B2)
and
![|x-2|=-(x-2)](https://tex.z-dn.net/?f=%7Cx-2%7C%3D-%28x-2%29)
, so
![|x-2|+|x+2|=-(x-2)+(x+2)=4](https://tex.z-dn.net/?f=%7Cx-2%7C%2B%7Cx%2B2%7C%3D-%28x-2%29%2B%28x%2B2%29%3D4)
(3) When
![x-2\ge0](https://tex.z-dn.net/?f=x-2%5Cge0)
, we have
![|x+2|=x+2](https://tex.z-dn.net/?f=%7Cx%2B2%7C%3Dx%2B2)
and
![|x-2|=x-2](https://tex.z-dn.net/?f=%7Cx-2%7C%3Dx-2)
, so
![|x-2|+|x+2|=(x-2)+(x+2)=2x](https://tex.z-dn.net/?f=%7Cx-2%7C%2B%7Cx%2B2%7C%3D%28x-2%29%2B%28x%2B2%29%3D2x)
So
48 is greater than or equal too 40in I think so < with a little line under it