Answer:
Step-by-step explanation:
It's given in the question,
![2^x=3^y=12^z](https://tex.z-dn.net/?f=2%5Ex%3D3%5Ey%3D12%5Ez)
![2^x=12^z](https://tex.z-dn.net/?f=2%5Ex%3D12%5Ez)
![\text{log}2^x}=\text{log}12^z}](https://tex.z-dn.net/?f=%5Ctext%7Blog%7D2%5Ex%7D%3D%5Ctext%7Blog%7D12%5Ez%7D)
![x\text{log2}=z\text{log12}](https://tex.z-dn.net/?f=x%5Ctext%7Blog2%7D%3Dz%5Ctext%7Blog12%7D)
![x=\frac{z\text{log}12}{\text{log2}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bz%5Ctext%7Blog%7D12%7D%7B%5Ctext%7Blog2%7D%7D)
![3^y=12^z](https://tex.z-dn.net/?f=3%5Ey%3D12%5Ez)
![\text{log}3^y}=\text{log}12^z}](https://tex.z-dn.net/?f=%5Ctext%7Blog%7D3%5Ey%7D%3D%5Ctext%7Blog%7D12%5Ez%7D)
![y\text{log}3}=z\text{log}12}](https://tex.z-dn.net/?f=y%5Ctext%7Blog%7D3%7D%3Dz%5Ctext%7Blog%7D12%7D)
![y=\frac{z\text{log12}}{\text{log}3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bz%5Ctext%7Blog12%7D%7D%7B%5Ctext%7Blog%7D3%7D)
Now substitute the values in the equation,
![\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7By%7D%2B%5Cfrac%7B2%7D%7By%7D%20%3D%5Cfrac%7B1%7D%7B%5Cfrac%7Bz%5Ctext%7Blog12%7D%7D%7B%5Ctext%7Blog%7D3%7D%7D%2B%5Cfrac%7B2%7D%7B%5Cfrac%7Bz%5Ctext%7Blog%7D12%7D%7B%5Ctext%7Blog2%7D%7D%7D)
![=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctext%7Blog%7D3%2B%5Ctext%7Blog%7D2%5E2%7D%7Bz%5Ctext%7Blog%7D12%7D)
![=\frac{\text{log}(3\times 2^2)}{z\text{log}12}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctext%7Blog%7D%283%5Ctimes%202%5E2%29%7D%7Bz%5Ctext%7Blog%7D12%7D)
![=\frac{\text{log}(12)}{z\text{log}12}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctext%7Blog%7D%2812%29%7D%7Bz%5Ctext%7Blog%7D12%7D)
![=\frac{1}{z}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7Bz%7D)
Hence proved.
Hope this helps
Answer:
Part A: a=4g+10
The total cost of games played in a year (a) is $4 times by the number of games played (g) plus the $10 pass.
Part B: In Photo 1
Part C: In Photo 2
Step-by-step explanation:
Part A is explained above.
Part B: To find values⬇
a=4g+10
a=4(1)+10
a=4+10
a=14
$14 for the year
*Continue by increasing the g value by one to make a decent sample size for a table.*
Part C: Have the y axis be Yearly Cost (a) and the X axis be Games Played (g). Then just insert the values from the table. Include a tittle and do NOT connect the points because you can't have a fraction of a game.
(3 x 1 ) + (4 x 0.1) + (9 x 0.01) + ( 9 x 0.001)
OR
3 + 0.4 + 0.09 + 0.009
Three and four hundred ninety-nine thousandths
Hope this helped!
Answer: P=a+b+c
Step-by-step explanation: You use this formula to find perimeter of a triangle.