Antoine stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x seconds after Antoine threw it, is modeled by: h(x)=-2x² + 4x + 16. The maximum of the ball will reach 20 feet high after it travels a horizontal distance of 8 ft. Will the ball reach the dog's mouth if the dog is 15 feet away and doesn't move at all? Explain your reasoning. 69

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