73000 litres, just times by 1000
The equation of the line that you get is:
![y = mx + q](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20q)
Where m is the slope and q is the y-intercept; then the slope of y=3x-12 is 3.
Answer:
Y=÷
means Y is is Inversely Proportional to ![x](https://tex.z-dn.net/?f=x)
Step-by-step explanation:
Given :
Y=÷![x](https://tex.z-dn.net/?f=x)
It is further said that ![Y=\frac {1}{x}](https://tex.z-dn.net/?f=Y%3D%5Cfrac%20%7B1%7D%7Bx%7D)
From above we can say that
Y is a function whose output is the inverse function of
.
Hence we can say that Y is Inversely Proportional to
.
Answer:
1)Solving the expression
we get ![\mathbf{x=-\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D-%5Cfrac%7B1%7D%7B3%7D%7D)
2) solving the equation
we get ![\mathbf{x=2}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D2%7D)
Step-by-step explanation:
We need to solve the expressions:
1) ![1-2(2x+1)=1-(x-1)\\](https://tex.z-dn.net/?f=1-2%282x%2B1%29%3D1-%28x-1%29%5C%5C)
Solving
![1-2(2x+1)=1-(x-1)](https://tex.z-dn.net/?f=1-2%282x%2B1%29%3D1-%28x-1%29)
First solving the brackets
![1-4x-2=1-x+1](https://tex.z-dn.net/?f=1-4x-2%3D1-x%2B1)
Simplifying
![-1-4x=-x](https://tex.z-dn.net/?f=-1-4x%3D-x)
Adding 4x on both sides
![-1-4x+4x=-x+4x\\-1=3x](https://tex.z-dn.net/?f=-1-4x%2B4x%3D-x%2B4x%5C%5C-1%3D3x)
Switching the sides
![3x=-1](https://tex.z-dn.net/?f=3x%3D-1)
Divide both sides by 3
![\frac{3x}{3}=-\frac{1}{3}\\x= -\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D-%5Cfrac%7B1%7D%7B3%7D%5C%5Cx%3D%20%20-%5Cfrac%7B1%7D%7B3%7D)
So, Solving the expression
we get ![\mathbf{x=-\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D-%5Cfrac%7B1%7D%7B3%7D%7D)
2) ![3.6x-6.1=5.9-2.4x](https://tex.z-dn.net/?f=3.6x-6.1%3D5.9-2.4x)
Solving:
![3.6x-6.1=5.9-2.4x](https://tex.z-dn.net/?f=3.6x-6.1%3D5.9-2.4x)
Adding 6.1 on both sides
![3.6x-6.1+6.1=5.9-2.4x+6.1\\3.6x=12-2.4x](https://tex.z-dn.net/?f=3.6x-6.1%2B6.1%3D5.9-2.4x%2B6.1%5C%5C3.6x%3D12-2.4x)
Adding 2.4x on both sides
![3.6x+2.4x=12-2.4x+2.4x\\6x=12\\](https://tex.z-dn.net/?f=3.6x%2B2.4x%3D12-2.4x%2B2.4x%5C%5C6x%3D12%5C%5C)
Divide both sides by 6
![\frac{6x}{6}=\frac{12}{6}\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B6%7D%3D%5Cfrac%7B12%7D%7B6%7D%5C%5Cx%3D2)
So, solving the equation
we get ![\mathbf{x=2}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%3D2%7D)
Assuming he gets 5% annually then the answer is 4 years