Question

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? (2 points)

Answer 1

Add

2x+x²+7+x-2=
x²+2x+x+7-2=
x²+3x+5=total distance

Answer 2

Answer:

$x^2+3x+5$ miles.

Step-by-step explanation:

We have been given that Joy is training for a triathlon. She runs a distance of $2x$  miles, cycles a distance of $(x^2+7)$ miles, and swims a distance of $(x-2)$ miles. We are asked to find total distance covered by Joy.

$\text{Total distance}=\text{Distance covered by running}+\text{Distance covered by cycling}+\text{Distance covered by swimming}$

$\text{Total distance}=(2x)+(x^2+7)+(x-2)$

$\text{Total distance}=2x+x^2+7+x-2$

$\text{Total distance}=x^2+2x+x+7-2$

$\text{Total distance}=x^2+3x+5$

Therefore, Joy covered a total distance of $x^2+3x+5$ miles.