Answer:
x=13,y=0
Step-by-step explanation:
We are given a system of equations

For equation 1,square all terms to reduce it
√x²+√y²=169
x+y=13
Make x the subject as required by the question to use substitution method
x=13-y
Plug x=13-y into eqn 2
3(13-y)+2y=39
39-3y+2y=39
39-y=39
y=39-39=0
Plug y=0 into equation 1
x+0=13
x=0
1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
number of hours = 12,600 shirts/ (1200 shirts/6 hours)
= 63 hours
2. Determine the number of workdays for them to complete the shirts by dividing 63 hours by 9 hours/workday. This will give us an answer of 7 workdays.
Answer: 21.13 miles
Explanation: The question asks “drive in all”. They gave you the miles driven, which is 8.7 and 12.43. If you add them together, you will get 21.13 miles.
Answer:
1/4
Step-by-step explanation:
The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.
The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...
(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4