To find
, (the inverse of the function) you need to first replace the f(x) with y...
Then switch the x and the y.
Solve for y.
Take the square root of each side...
Answer:
12 miles
Step-by-step explanation:
Let the amount of hours it takes Leroy to catch up to Kevin equal x. Since speed multiplied by time is distance, Leroy would have run a total of 6x miles(6*x). Kevin already had a head start of 24 minutes, which is the same as 2/5 of an hour. In 2/5 an hour, Kevin ran 2 miles as 2 is 2/5 *5. For the next x hours his distance would be a total of 5x(5*x). This means, after x hours, Kevins distance is 5x + 2. In this case, catching up to someone is the same as having the same distance value. This means we can set the two expressions equal to each other, and solve:
6x = 5x + 2
x = 2
The time it took Leroy to catch up is 2 hours, but we are looking for the distance, which is represented by 6x. We substitute in 2 to get:
6(2) = 12
This means Leroy had to run 12 miles.
In this equation, there is nothing to solve for. However, the expression
is the Pythagorean theorem. If there is a right triangle, then when the lengths of two shorter legs (a and b) are added together, and then square rooted, you get c, which is the hypotenuse.
Hope this helps!
187 ft/s. I think that this might be an equation, but if it is not, I'm sorry.
