Answer:
Step-by-step explanation:
so f-1(x) means we are finding the inverse
f(x) = 3x - 7.....change f(x) to y
y = 3x - 7.....now switch ur x and y and solve for y
x = 3y - 7....add 7 to both sides
x + 7 = 3y...divide both sides by 3
(x/3) + 7/3 = y....rearrange
y = (x/3) + 7/3....can also be written as : y = 1/3x + 7
now just change ur y to f-1(x)
f-1(x) = x/3 + 7/3.....or f-1(x) = 1/3x + 7/3
Answer:
Step-by-step explanation:
Length = x
width = x - 7
height = x - 10
volume = 600 in^3
Volume = L * w * h
600 = x * (x - 7)*(x - 10)
600 = x * (x^2 - 17x + 70)
600 = x^3 - 17x^2 + 70x
x^3 - 17x^2 + 70x - 600 = 0
There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.
a = 1
b = - 17
c = 70
d = - 600
There is only 1 real solution: x = 15
L = 15
w = 8
h = 5
That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.
There are a couple of things you didn't mention.
In order to come up with an answer to the question,
I have to assume reasonable numbers for them, and
then answer the question that I have invented.
Assumption #1: Each day that you work, you work for 8 hours.
Assumption #2: You work for three days each week.
If those assumptions are true, then you earn
($7.25 / hour) x (8 hours/day) x (3 days/week) x (2 weeks) =
($7.25 x 8 x 3 x 2) = $348 before taxes and other deductions.
Answer:
Question A is D and Question B is B