Answer:
![\displaystyle y=\frac{3x}{x-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D%5Cfrac%7B3x%7D%7Bx-1%7D)
Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:
![\displaystyle x=\frac{y}{y-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7By%7D%7By-3%7D)
And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:
![\displaystyle (y-3)x=(y-3)\frac{y}{y-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28y-3%29x%3D%28y-3%29%5Cfrac%7By%7D%7By-3%7D)
Simplifying the right side:
![\displaystyle (y-3)x=y](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28y-3%29x%3Dy)
Remove the parentheses:
![yx-3x=y](https://tex.z-dn.net/?f=yx-3x%3Dy)
Move the y's to the left side and the rest of the expression to the right side:
![yx-y=3x](https://tex.z-dn.net/?f=yx-y%3D3x)
Factor out y:
![y(x-1)=3x](https://tex.z-dn.net/?f=y%28x-1%29%3D3x)
Divide by x-1:
![\mathbf{\displaystyle y=\frac{3x}{x-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdisplaystyle%20y%3D%5Cfrac%7B3x%7D%7Bx-1%7D%7D)
Answer:
C
Step-by-step explanation:
the rate of change is constant in y (adding 3) and x (adding 2)
All socks together: 13
Black socks: 3
Probability to pick out black socks: 3/13
After one pick out (You picked out a pair of black socks):
Probability to pick out black socks: 2/12
Multiply them:
2/12 * 3/13 = 1/26 ≈ 0,038
There is a possibility of 24 combinations I believe
180 - 47 = 133
The answer is the second option, 133 degrees