IF you help me with the number line you get brainlyest
2 answers:
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Answer:
47.5 Meters
Step-by-step explanation:
Find where the derivative changes from positive to negative (local maximum)
h(t)=
h'(t)=
Find where the derivative equals zero
Theres no spot where the derivative wont exist because its a polynomial.
-12t=-30
t=
Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.
Now plug into original equation
h(2.5)=
=-37.5+75+10
=47.5