Answer:
5
Step-by-step explanation:
The correct answer is a.) 12.4
Answer:
D. 80
Step-by-step explanation:
Given:
f(x) = 5x - 4,
g(x) = x² - 1
Required:
(g o f)(-1)
SOLUTION:
(g o f)(-1) = g(f(-1))
Plug in -1 for x into the function, f(x) = 5x - 4:
g(f(-1)) = g(5(-1) - 4)
= g(-5 - 4)
= g(-9)
Plug in -9 for x in the function, g(x) = x² - 1
g(-9) = (-9)² - 1
= 81 - 1
= 80.
Therefore, (g o f)(-1) = g(f(-1)) = 80
D. 80 is the correct answer.
Answer:
2 min
Step-by-step explanation:
she runs 5 miles in 52 min
her goal is 6 miles
so if 5 miles is completed in 50 min then 1 mile = 10 min
and 6 mile = 60 min
Two mechanics worked on a car.
Now, mechanic 1 has spent 5 hours working on the car.
Mechanic 2 has spent 15 hours working on the car.
Lets say mechanic 1 charged 'x' dollars per hour and mechanic 2 charged 'y' dollars per hour.
So,
that is our first equation ( 1 ):
And,
that is our second equation ( 2 ):
Using the two equations we can solve for 'x' and 'y', using our first equation we get:
On solving for 'x' and 'y' we get:
and putting the value of 'y' in the equation 2 we get:
As mentioned earlier, 'x' represents the charge that mechanic 1 charged per hour and 'y' represents the charge that mechanic 2 charged per hour.
We have and .
So, the mechanic 1 charged $75 per hour and mechanic 2 charged $80 per hour.