(40 min)/(5 mi) = (time)/(7 mi) . . . . . the rates are the same
(7/5)*(40 min) = time = 56 min
At the same rate, it would take Petra 56 minutes to jog 7 miles.
Answer:
(f + g)(3) = 9
Step-by-step explanation:
Given:
f(x) = x² + 1
g(x) = x - 4
Required:
(f + g)(3)
SOLUTION:
✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:
f(3) = (3)² + 1 = 9 + 1
f(3) = 10
✔️Find g(3) by substituting x = 3 into g(x) = x - 4:
g(3) = 3 - 4
g(3) = -1
✔️Find (f + g)(3):
(f + g)(3) = f(3) + g(3)
= 10 + (-1)
= 10 - 1
(f + g)(3) = 9
Lemme give you a cheap answer, by simply using the "compound interest formula", which is what that is, 2% compounded yearly
thus

plug in those values, and simplify
9x - 4(x - 2) =x + 20
We move all terms to the left:
- 9x -4(x - 2) - (x + 20) = 0
Multiply
- 9x - 4x -(x + 20) + 8 = 0
We get rid of the parentheses.
We add all the numbers and all the variables.
We move all terms containing x to the left hand side, all other terms to the right hand side
Hope you can see my workout in the picture I attached below.
f⁻¹(x) =

AND
f⁻¹(19) =