Answer:
The input is -6, hope this helps :D
Step-by-step explanation:
Represent the machines as expressions:
outputA= 7x-6
outputB= 3x+2
Find the input when the outputA is 3*outputB:
outputA=3outputB
(7x-6)=3(3x+2)
7x-6=9x+6
2x=-12
x=-6
She will be $1.40 under budget.
8% = 8/100 = 0.08
Adding this to 100% of the price of the shoes, we get 108% = 108/100 = 1.08.
We multiply the price of the shoes by this:
45*1.08 = 48.60
Subtract this from 50:
50 - 48.60 = 1.40
Answer:
See explanation below
Step-by-step explanation:
The width is 4 inches
So, the area of the base is 20 inches squared
The height is 4 inches
So, the volume of the prism is 80 inches cubed
Answer:
![g(x)=-2\sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Csqrt%5B3%5Dx)
or

Step-by-step explanation:
Given
![f(x) = \sqrt[3]x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5Dx)
Required
Write a rule for g(x)
See attachment for grid
From the attachment, we have:


We can represent g(x) as:

So, we have:
![g(x) = n * \sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20n%20%2A%20%5Csqrt%5B3%5Dx)
For:

![2 = n * \sqrt[3]{-1}](https://tex.z-dn.net/?f=2%20%3D%20n%20%2A%20%5Csqrt%5B3%5D%7B-1%7D)
This gives:

Solve for n


To confirm this value of n, we make use of:

So, we have:
![-2 = n * \sqrt[3]1](https://tex.z-dn.net/?f=-2%20%3D%20n%20%2A%20%5Csqrt%5B3%5D1)
This gives:

Solve for n


Hence:
![g(x) = n * \sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20n%20%2A%20%5Csqrt%5B3%5Dx)
![g(x)=-2\sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Csqrt%5B3%5Dx)
or:

Step-by-step explanation:
Go 2.5 units to the right from the origin (0,0) for your x coordinate
Go 2.5 units down from the origin (0,0) for your y coordinate
Where the lines meet is your point.