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Vera_Pavlovna [14]
3 years ago
15

Abigail tosses a coin off a bridge into the stream below. The distance, in feet, the coin above the water is modeled by the equa

tion y=−16x2+96x+112 When does the coin hit the water?
Mathematics
1 answer:
melomori [17]3 years ago
6 0

Answer:

7 seconds

Step-by-step explanation:

Distance of the coin above the water is modeled by the equation

y=-16x^2+96x+112

where x is time taken to cover the distance

Now equating with zero.

0=-16x^2+96x+112\\\Rightarrow 16x^2-96x-112=0\\\Rightarrow x=\dfrac{-\left(-96\right)\pm \sqrt{\left(-96\right)^2-4\times \:16\left(-112\right)}}{2\times \:16}\\\Rightarrow x=7, -1

So, time taken by the coin to hit the water is 7 seconds.

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