Answer:
f^-1 (9) = 7 equals f = 9/7
Step-by-step explanation:
f^-1 x 9 = 7, f ≠ 0
1/f x 9 = 7
9/f = 7
9 = 7f
7f = 9
Answer: 2a sqrt 15a
Explanation:
Sqrt 60a^3
= sqrt 4 x 15 x a^2 x a
= 2a sqrt 15a (because 4 and a^2 are a perfect square so we can drag it out of the square root)
The first one is the answer
Answer:
First car: 30 gallons
Second car: 35 gallons
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
Total gas consumption was 65:
x+y=65
Where:
x = gallons consumed by the first car
y = gallons consumed by the second car
The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas, the two cars went a combined total of 1650 miles:
x 20+y 30 = 1650
The system is:
x+y=65 (1)
x 20+y 30 = 1650 (2)
Isolating y on (1)
y = 65-x
Replacing y= 65-x on (2):
x 20+(65-x)30 = 1650
20x +1,950-30x= 1650
20x-30x= 1650-1950
-10x= -300
x= -300/-10
x = 30 gallons
Back to (1)
y =65-x
y =65-30
y= 35 gallons
Feel free to ask for more if needed or if you did not understand something.