Dolphin!

Image by Mariamichelle via Pixabay (CC0)

Solve by graphing: Sarah went on a cruise during summer vacation. During the cruise, the ship stopped on a shore so the passengers could spend time on the beach. While on the beach Sarah saw a dolphin jump out of the water and dive into a wave. The dolphin's dive followed a parabolic path with the equation y=−0.25x2+3x+5y=-0.25x^2+3x+5 The wave follows a linear path with the equation y=−2x+30y=-2x+30 If we represent the scenario graphically, at what point does the dolphin reach the wave?

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