Answer:
25%
Step-by-step explanation:
9/12 = 3/4
1/4 (the months he wasn't working) = 25%
We performed the following operations:
![f(x)=\sqrt[3]{x}\mapsto g(x)=2\sqrt[3]{x}=2f(x)](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D%5Cmapsto%20g%28x%29%3D2%5Csqrt%5B3%5D%7Bx%7D%3D2f%28x%29)
If you multiply the parent function by a constant, you get a vertical stretch if the constant is greater than 1, a vertical compression if the constant is between 0 and 1. In this case the constant is 2, so we have a vertical stretch.
![g(x)=2\sqrt[3]{x}\mapsto h(x)=-2\sqrt[3]{x}=-g(x)](https://tex.z-dn.net/?f=g%28x%29%3D2%5Csqrt%5B3%5D%7Bx%7D%5Cmapsto%20h%28x%29%3D-2%5Csqrt%5B3%5D%7Bx%7D%3D-g%28x%29)
If you change the sign of a function, you reflect its graph across the x axis.
![h(x)=-2\sqrt[3]{x}\mapsto m(x)=-2\sqrt[3]{x}-1=h(x)-1](https://tex.z-dn.net/?f=h%28x%29%3D-2%5Csqrt%5B3%5D%7Bx%7D%5Cmapsto%20m%28x%29%3D-2%5Csqrt%5B3%5D%7Bx%7D-1%3Dh%28x%29-1)
If you add a constant to a function, you translate its graph vertically. If the constant is positive, you translate upwards, otherwise you translate downwards. In this case, the constant is -1, so you translate 1 unit down.
Answer:
2
Step-by-step explanation:
12 x - 15 = 6x - 3
12 x - 6x = 15 - 3
6x = 12
x = 12/6 = 2
Answer:: 5 minutes or 1/12 hour
Step-by-step explanation:
Answer:
110/289 feet
Step-by-step explanation:
Step one:
given data
Area of the floor= 55/14 square feet.
The length of the floor= 8 1/2 feet-----convert to simple fraction= 17/2 feet
Step two:
The expression for the area of the room is
Area= L*W
55/14= 17/2*W
55/14=17W/2
cross multiply
17W*14=55*2
289W=110
divide both sides by 289
W= 110/289 feet