F(x) = -x^2 + 3x + 8
f'(x) = -2x + 3
when f(x) is increasing f'(x) > 0
-2x + 3 > 0
-2x > -3
x < 3/2 or 1.5
So the required interval is (-infinity,1.5).The first choice.
The projectile's horizontal and vertical positions at time
are given by


where
. Solve
for the time
it takes for the projectile to reach the ground:

In this time, the projectile will have traveled horizontally a distance of

The projectile's horizontal and vertical velocities are given by


At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about
.
Here is what the graph looks like
10^6 = 10 *10*10*10*10*10 = 1,000,000
10^2 = 10*10 = 100
1000000/100 = 10,000 times larger
Answer: it D. 1,512
Step-by-step explanation: i hop this helps if it wrong sorry about that