Answer:
Switch x and y, and solve for y

Step-by-step explanation:
Given

Required
Complete the steps to determine the inverse function
Solving (a): Complete the blanks
Switch x and y, and solve for y
Solving (b): Determine the inverse function
![f(x) = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Replace f(x) with y
![y = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Switch x and y
![x = \sqrt[3]{8y} + 4](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204)
<u>Now, we solve for y</u>
Subtract 4 from both sides
![x -4= \sqrt[3]{8y} + 4-4](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204-4)
![x -4= \sqrt[3]{8y}](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D)
Take cube roots of both sides

Divide both sides by 8

So, we have:

Hence, the inverse function is:

Answer:
A. 89.07
Step-by-step explanation:
A kilogram = 2.20462
40.4 kilograms = 40.4 X 2.20462
89.066648
Nearest hundreth = 89.07
b or the second option
The correct answer for the question that is being presented above is this one: "w(w + 2) = 48." John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.
Let w = width
Let (w+2) = length
Area = w(w+2).
Answer:
Karl works 7 hours a week
Step-by-step explanation:
Step 1: Determine total amount that Sally earns
Total amount Sally earns=rate per hour×number of hours worked(h)
where;
Rate per hour=$7 per hour
Number of hours worked=h
Replacing;
Total amount Sally earns=(7×h)=7 h
Step 2: Determine total amount Karl earns
Total amount Karl earns=rate per hour×number of hours worked
where;
rate per hour=$5
number of hours worked=2 more than Sally=h+2
replacing;
Total amount Karl earns=5(h+2)
Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h
7 h=5(h+2)
7 h=5 h+10
7 h-5 h=10
2 h=10
h=10/2
h=5
Karl works (h+2) hours=(5+2)= 7 hours
Karl works 7 hours a week
Answer: It should be 270 ml
Step-by-step explanation:
To find 3/8 of 720, we need to know 1/8
Divide 720 by 8, this gives you 90
Now multiply 90 by 3 to get 3/8
Answer is 270 ml