Answer: the answer is c
Step-by-step explanation:
Step-by-step explanation:
Set up f(x).
![\sqrt[3]{11x - 3} = f(x)](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B11x%20-%203%7D%20%20%3D%20f%28x%29)
Replace f(x) with y
![\sqrt[3]{11x - 3} = y](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B11x%20-%203%7D%20%20%3D%20y)
Swap x and y
![\sqrt[3]{11y - 3} = x](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B11y%20-%203%7D%20%20%3D%20x)
Solve for y
Cube both sides

Add 3 to both sides

Divide both sides by 11

so

Answer:
at matilda's new job, she will make a rounded salary of $69,000 per year.
Step-by-step explanation:
when solving a problem like this, you have to take her current salary ($64,000 per year) and multiply it to the salary increase percentage by first turning the percentage into a decimal. to turn the percentage into a decimal, you imagine a tiny dot to the right of the 8 like this:
8.
and then you have to move that little dot to the left two times recreating it into .08. you multiply .08 (the salary increase percentage) by her current salary ($64,000) and then also add that number to matilda's current salary to come up with the answer you can round. I'll give you an example of my proscess just so I can give a clear visual of my explanation.
step one:
$64,000
x .08
-------------
5,120
step 2:
$64,000
+$5,120
-------------
$69,120
step 3:
$69,120 is rounded up to the nearest thousands is approximately $69,000
answer: $69,000
And we are given that
and want to find the value of x. Set f(x) to 16 and we get the equation:

Subtract both sides by 4

Divide both sides by 2

This is the answer. Let me know if you need any clarifications, thanks!