Hi!
I believe this will answer your question the parent function of f(x) = 5x − 1 is 5, the parent function of g(x) = 3^x − 9 is 3^x ln (3), and g(x) − f(x) is -5f+g*3^x ln (3)
30% percent is what they marked up
Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
