Question 818152: Find the t-intercpets of h=-16t^2+112t algebraically, (using either factoring or the quadratic formula). And find the vertex of h=-16t^2+112t. Show work.
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! h = -16t^2 + 112t
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the t-intercepts of this eqn are its quadratic roots:
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the above quadratic equation is in standard form, with a=-16, b=112, and c=0
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to solve the quadratic equation using the quadratic formula, plug this:
-16 112 0
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
t = 0
t = 7
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the quadratic vertex is a maximum at: ( t= 3.5, h(t)= 196 )
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