A road construction company is building a highway that is going to include a tunnel that cuts through a mountain.

A road construction company is building a highway that is going to include a tunnel that cuts through a mountain. The company overlays their map over a coordinate plane in order to precisely calculate the locations of the entrance and exit of the tunnel. When graphed out, the highway follows the path of h(x)=1/3x and the mountain lies exactly along the function of m(x)=-|x-500|+300. If the highway starts at the origin, what are the coordinates for the entrance and the exit for the tunnel that will have to be drilled through the mountain?


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