SOLUTION: Water in the tallest stream reaches a height of {{{h=20+84t-16t^2}}} feet at {{{t}}} seconds after leaving a nozzle on the fireboat. ***You can find the water's freatest height

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Question 40921: Water in the tallest stream reaches a height of feet at seconds after leaving a nozzle on the fireboat.
***You can find the water's freatest height bu finding the vertext of the parabola for ***
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Water in the tallest stream reaches a height of feet at seconds after leaving a nozzle on the fireboat.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=8336 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.228178052628332, 5.47817805262833. Here's your graph:

Hope this helps.
Cheers,
Stan H.
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