Answer: the efficiency of the first car is 25 miles per gallon.
the efficiency of the second car is 30 miles per gallon.
Step-by-step explanation:
Let x represent the efficiency of the first car.
Let y represent the efficiency of the second car.
Distance = car efficiency × number of gallons.
The first car consume 25 gallons of gas and the second consumed 15 gallons of gas. The two cars Drove a combined total of 1075 miles. It means that
25x + 15y = 1075- - - - - - - - - - -1
The sum of the fuel efficiencies was 55 miles per gallon. It means that
x + y = 55
Substituting x = 55 - y into equation 1, it becomes
25(55 - y) + 15y = 1075
1375 - 25y + 15y = 1075
- 25y + 15y = 1075 - 1375
- 10y = - 300
y = - 300/-10
y = 30
x = 55 - y = 55 - 30
x = 25
Since a cube has 6 sides, we can divide 294 by 6, so we have the area of one side. Since it is a cube, we can just square root that, and you get 7 cm.
Given expression is
![\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E%7B11%7Dy%5E8%7D%7B81x%5E7y%5E6%7D%7D)
Radical is fourth root
first we simplify the terms inside the radical
So the expression becomes
![\sqrt[4]{\frac{16x^4y^2}{81}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E4y%5E2%7D%7B81%7D%7D)
Now we take fourth root
![\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
![\sqrt[4]{81} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3D%203)
![\sqrt[4]{x^4} = x](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E4%7D%20%3D%20x)
We cannot simplify fourth root (y^2)
After simplification , expression becomes
![\frac{2x\sqrt[4]{y^2}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E2%7D%7D%7B3%7D)
Answer is option B
correct answer is 5, because f(-5) / g(-5) = -30/-6 = 5
