Answer:
Step-by-step explanation:
if it is 4.252525252525.... it is 421/99
if it is 4.255555555555... it is 383/90
Answer:
a = 4
Step-by-step explanation:
8 = 5a > - 12
8 + 12 = 5a > - 12 + 12
20 = 5a
20 ÷ 5 = 5a ÷ 5
a = 4
Check:
8 = 5(4) < 12
8 = 20 < 12
It is correct.
Answer:
See below.
Step-by-step explanation:
The graph of the quadratic equation is a parabola or u shaped graph. It has a vertex at (-1,-3) since h=-1 and k=-3 in the vertex form. It is also facing down since the leading coefficient is negative.
The answer is 30,000
20,100 / 0.67 = 30,000
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
