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Sagot :
The time taken by the baseball in the air if the ball is not caught is 4.513 seconds.
Here we have to find the time taken by the baseball.
Given data:
The quadratic function is given:
f(x) = 16x² + 70x + 10
To find the value of x we have to formula:
x = ±b [tex]\sqrt{b^{2} - 4ac}[/tex] / 2a
from the equation we get the value of a, b, and c as:
a = -16
b = 70
c = -10
now putting in the equation we have:
x = -70 ±[tex]\sqrt{70^{2} -4(-16)(10)}[/tex] / 2(-16)
= -70 ±[tex]\sqrt{4900 + 640}[/tex] / -32
= -70 ± √5540 / -32
= - 70 ± 74.43 / -32
By calculating this we get two values:
x = -0.138 and 4.513
Time can never be negative so.
x = 4.513
Therefore the time taken is 4.513 seconds.
To know more about the quadratic function refer to the link given below:
https://brainly.com/question/1214333
#SPJ4
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