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.
