Solution:
It should be noted:
- Given equation: h(t) = -16t² + 38t + 9
To find h(7), let's find "t" by comparing h(7) and h(t).
Compare h(7) and h(t):
- h(7) = h(t)
- => h(7)/h = h(t)/h
- => 7 = t
Now, find h(7) by substituting the value of t into the equation.
Substitute the value of t into the equation:
- h(t) = -16t² + 38t + 9
- => h(t) = (-16)(t²) + (38)(t) + 9
- => h(7) = (-16)(7²) + (38)(7) + 9
- => h(7) = -784 + 266 + 9
- => h(7) = -509
Thus, h(7) is -509.
