A dolphin starts at an elevation of feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick? A dolphin starts at an elevation of feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick?

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answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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