Answer: 1:5
Step-by-step explanation:
Given: The cost of every mirror is proportional to the cube of the mirror's radius.
i.e. ![\dfrac{\text{Cost of smallest mirror}}{\text{Cost of largest mirror}}=\dfrac{(\text{radii of smallest mirror}^3)}{\text{(radii of largest mirror)}^3}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BCost%20of%20smallest%20mirror%7D%7D%7B%5Ctext%7BCost%20of%20largest%20mirror%7D%7D%3D%5Cdfrac%7B%28%5Ctext%7Bradii%20of%20smallest%20mirror%7D%5E3%29%7D%7B%5Ctext%7B%28radii%20of%20largest%20mirror%29%7D%5E3%7D)
Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter.
Then,
![\dfrac{\text{Cost of smallest mirror}}{\text{Cost of largest mirror}}=\dfrac{1^3}{(5)^3}=\dfrac{1}{125}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BCost%20of%20smallest%20mirror%7D%7D%7B%5Ctext%7BCost%20of%20%20largest%20mirror%7D%7D%3D%5Cdfrac%7B1%5E3%7D%7B%285%29%5E3%7D%3D%5Cdfrac%7B1%7D%7B125%7D)
The ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors will be:
![\dfrac{\text{Cost of 25 smallest mirror}}{\text{Cost of largest mirror}}=\dfrac{25\times 1}{125}=\dfrac{1}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BCost%20of%2025%20smallest%20mirror%7D%7D%7B%5Ctext%7BCost%20of%20largest%20mirror%7D%7D%3D%5Cdfrac%7B25%5Ctimes%201%7D%7B125%7D%3D%5Cdfrac%7B1%7D%7B5%7D)
Hence, the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors = 1:5 .
Answer:
A
Step-by-step explanation:
![(f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29%5C%5C%3D%28x-2%29-%28x%5E2%2B3x-4%29%5C%5C%3Dx-2-x%5E2-3x%2B4%5C%5C%3D-x%5E2-4x%2B2%5C%5C)
Therefore, answer is A.
Answer:
1/8
Step-by-step explanation:
Subtract the 2x and then divide both sides by three, than you will have a linear equation, hope that helps you graph it, if no let me know I’ll try to help from there