Answer:
see attached
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
x = (y^7)/7 -4 . . . . . . . use the definition of f(x)
x +4 = (y^7)/7 . . . . . . add 4
7(x +4) = y^7 . . . . . . multiply by 7
(7(x +4))^(1/7) = y . . take the 7th root
The inverse function is the one shown in the attachment.
Answer:
The alcohol concentration of the resulting solution is 58.4%
Step-by-step explanation:
- At first we must to find the quantity of pure alcohol in the 8 liters
∵ The alcohol concentration is 48% in 8 liters
∴ The quantity of pure alcoholic = liters
- She added 2 liters pure alcohol to the solution that means the solution
increased by 2 liters and alcohol quantity increased by 2 liters
∵ She added 2 liters pure alcohol
∴ The quantity of pure alcohol = 2 + 3.84 = 5.84 liters
∴ The resulting solution = 2 + 8 = 10 liters
- Now we need to find the concentration of alcohol in the resulting
solution
∵ The quantity of pure alcohol = 5.84 liters
∵ The resulting solution = 10 liters
∴ The concentrate of alcohol = % = 58.4%
The alcohol concentration of the resulting solution is 58.4%