Question 702392
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The height function is a quadratic with a negative lead coefficient.  That means the graph opens downward and the vertex is a maximum.  Divide the opposite of 1st degree coefficient by twice the lead coefficient to find the *[tex \LARGE t]-coordinate of the vertex.  Then evaluate the function at that *[tex \LARGE t]-value to find the maximum height.  If the maximum height is less than 25, 0 chances.  If the maximum height is exactly 25 feet, 1 chance.  If the maximum is more than 25, 2 chances (one on the way up, the other on the way down)


For the other part, remember that the ground is zero height.  Set the function equal to zero and solve the quadratic equation.  Discard the negative root -- you don't care what happened <i>before</i> the guy on the ground threw the thing, do you?


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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