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# (Solved): The Death Drop is the tallest water slide in the park. The height of a rider can be expressed by th ...

The Death Drop is the tallest water slide in the park. The height of a rider can be expressed by the equation -3x 2 +9x +54, where x is the number of seconds the rider has been on the ride. Factor the equation by first factoring out the GCF. What are the roots of this equation? Now factor the equation without factoring out the GCF. What are the roots now? Did they change? How much time will it take the rider to reach the bottom of the slide? In the middle of the park is a giant bucket of water that is attached to mechanism that is continually losing weight through time. Once the mechanism loses all its weight, the bucket of water pours onto any visitors down below. The amount of weight lost by the mechanism can be expressed as 8x 2 + 2x pounds, where x is the number of hours since loading the contraption. If it originally held 10 pounds, how long will it take for the bucket of water to tip? Identify the relevant information in each problem. What are the input values? What are the output values and what do they represent? What observations can you make and what changes could you make to improve the outputs of the problems? (I have worked my way through the first two problems but need help with this portion of it. Thank you.)

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