Answer:

Step-by-step explanation:
we would like to find the inverse of the following function:

to do so substitute y for f(x):

interchange variables:

cancel 9 from both sides:

square both sides:

add 4 in both sides:

divide both sides by 4:

substitute back:

and we're done!
Use the Pythagorean theorem a^2 + b^2 = c^2
45^2 + 80^2 = c^2
2025 + 6400 = c^2
c^2 = 8425
c = √8425
c = 91.787
Rounded to the nearest foot = 92 feet
Answer:
The graph is attached below.
Step-by-step explanation:
Given the function

Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -5x⁴, then the degree is 4, i.e. even, and the leading coefficient is -5, i.e. negative.
This means that f(x) → −∞ as x → −∞ and f(x)→−∞ as x→∞.
The graph is attached below.
Number of people who bought fewer than 30 items is (0.14 + 0.12 + 0.24)400 = 0.51 x 400 = 204