3 years ago

Solve for x. 21 х 16

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

6 0

Answer:

x is 4

Step-by-step explanation:

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Step-by-step explanation:

Given : A potato launched by a particular potato gun has a height described by $h ( t ) =-16 t^2+124 t+4$ .

To find : When is the potato 224 feet in the air?

Solution :

When the potato is 224 feet in the air i.e. $h(t)=224$

Substitute in the equation $h ( t ) =-16 t^2+124 t+4$ ,

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Applying quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=4, b=-31 and c=55

$t=\frac{-(-31)\pm\sqrt{(-31)^2-4(4)(55)}}{2(4)}$

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$t=\frac{31\pm9}{8}$

$t=\frac{31+9}{8},\frac{31-9}{8}$

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The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.

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