Joy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x − 2) miles. Which simplified expression is equivalent to the total distance, in miles, Joy covers?
To find the total distance, we need to add up the distances for each activity:
Total distance = distance running + distance cycling + distance swimming
= 2x + (x^2 + 7) + (x - 2)
= x^2 + 3x + 5
Therefore, the simplified expression for the total distance is x^2 + 3x + 5 miles.
The total distance Joy covers is the sum of the distances she runs, cycles, and swims.
The distance she runs is given as 2x miles.
The distance she cycles is given as (x^2 + 7) miles.
The distance she swims is given as (x - 2) miles.
To find the total distance, we add up these distances:
Total distance = 2x + (x^2 + 7) + (x - 2)
Simplifying the expression:
Total distance = 2x + x^2 + 7 + x - 2
Combining like terms:
Total distance = x^2 + 3x + 5
Therefore, the simplified expression that is equivalent to the total distance Joy covers is x^2 + 3x + 5 miles.