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:
0.000025
Step-by-step explanation:
the difference between225-180=45
so the percentage= 45×100/100
=0.45%
as the instruction say=0.45%/180
=0.0045/180
=45/1800000
=0.000025
Step-by-step explanation:
(x-2)^3 = x^3-6x^2+12x-8
-(x^3-6x^2+12x-8)=
-x^3+6x^2-12x+8
-x^3+6x^2-12x+8 -5=
y=-x^3+6x^2-12x+3
I attached the picture
The dilation scale factor is applied to all lengths.
... A'B' = (10 in)×25 = 250 in.