Mathematics: Abaseball coach uses a pitching machine to simulate pop flies during practice. the quadratic function f(x)=-16x^2+70x+10 models the height in feet of a baseball after x seconds. how long is the baseball in the air if the ball is not caught?

Abaseball coach uses a pitching machine to simulate

Ответ:

jen6815

15.03.2022

We want to find where the function is 0. We will use the quadratic formula to solve this:
$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$
In this equation, a=-16, b=70 and c=10:
$x= \frac{-70\pm \sqrt{70^2-4(-16)(10)}}{2(-16)}
\\
\\= \frac{-70 \pm \sqrt{4900--640}}{-32}
\\
\\= \frac{-70 \pm \sqrt{4900+640}}{-32}
\\
\\= \frac{-70 \pm \sqrt{5540}}{-32}
\\
\\= \frac{-70 \pm 74.43}{-32} = \frac{-70+74.43}{-32} \text{ or } \frac{-70-74.43}{-32}
\\
\\= \frac{4.43}{-32} \text{ or } \frac{-144.43}{-32}
\\
\\=-0.138 \text{ or } 4.513$
Since a negative number makes no sense in the problem situation, we have a time of 4.513 seconds.

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Ответ:

kymberlyasher

25.01.2022

Mathematics

5x + 2y = 3280
x+y = 785

x = 785 - y

5*(785 - y) + 2y = 3280
3925 - 5y + 2y = 3280
3925 - 3280 - 3y = 0
645 = 3y
y=645/3=215
x=785-215 = 570

Adults - 570 tickets, childs - 215 tickets.

570*5 + 215*2 = 3280

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Abaseball coach uses a pitching machine to simulate pop flies during practice. the quadratic function f(x)=-16x^2+70x+10 models the height in feet of a baseball after x seconds. how long is the baseball in the air if the ball is not caught?

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