Solve for 50 points y=-16x^2+248x+116

Mathematics

1 answer:

zhuklara [117]3 years ago

8 0

Answer:

x = {-0.454, 15.954}

Step-by-step explanation:

we can solve this equation by putting it into the quadratic formula

x = [-b +/- sqrt(b^2 - 4ac)] / 2a

x = [-248 +/- sqrt(248^2 - 4(-16)(116))] / 2(-16)

x = [-248 +/- sqrt(61504 + 7424)] / -32

x = [-248 +/- sqrt(68928)] / -32

x = (-248 +/- 262.541425) / -32

x = (-248 + 262.541425) / -32

x = (-248 - 262.541425) / -32

x = {-0.454419531, 15.9544195}

rounding to the nearest thousandth would make it x = {-0.454, 15.954}

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The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 $in^{3}$ .

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volume = length x width x height

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Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.

Then;

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So that;

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Visit: brainly.com/question/20463446