Answer:

Step-by-step explanation:
To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:
y = 2x - 10
Switch positions:
x = 2y - 10
Add '10' to both sides to begin simplifying:
x + 10 = 2y
Divide both sides by 2:

This can be rewritten as:

Therefore, the inverse of the function is:

Answer:
She will not meet her goal.
Step-by-step explanation:
There are 5 weekdays, so she will run for 0.5 * 5 = 2.5 hours over the weekdays
There are 2 weekends, so she will run for 2 * 1 = 2 hours over the weekend.
In total, this means she will run for 4.5 hours.
4.5 hours * 550 calories per hour = 2475 calories.
She will not meet her goal.
The $50 off was like a coupon after you brought all your merchandise to the counter, so we have to add it back in to determine the number of shirts.
$400+$50=$450 original price of shirts
Original price ÷ price per shirt= quantity purchased
$450 ÷ $15/shirt= 30 shirts purchased
Allison bought 30 shirts.
Hope this helps! :)
If the value of the car decreases by 8% every year it would take 13 years for the car to be worth
$10000.00.