Kaitlin the trainer has two solo workout plans that she offers her clients: plan a and plan b. each client does either one or the other (not both). on monday there were 5 clients who did plan a and 2 who did plan b. on tuesday there were 3 clients who did plan a and 8 who did plan b. kaitlin trained her monday clients for a total of 6 hours and her tuesday clients for a total of 7 hours. how long does each of the workout plans last?
length of each plan a workout: -hour(s)
length of each plan b workout: -hour(s)

Write 2 equations:

Monday: 5A + 2B = 6 hours

Tuesday: 3A + 8B = 7 hours

Multiply Monday by -4:

Monday: -20A -8B = -24

Now add Monday and Tuesday together:

-17A = -17 hours

Divide both sides by -17

A = -17/ -17 = 1

Plan A is 1 hour long.

Now replace A in Monday with 1 and solve for B:

5(1) + 2B = 6

5 + 2B = 6

Subtract 5 from both sides:

2B = 1

Divide both sides by 2:

B = 1/2

Plan A is 1 hour, Plan B is 1/2 hour.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2