Answer:
Time required to hit the ground is 7.9 s.
Step-by-step explanation:
The height of the rocket is given by
For the time to hit the ground, put y = 0
Time cannot be negative, so time to hit the ground is 7.9 s.
I’d use the app Socratic, the apps always factors the quadratic formula and it gives you the steps on how it done.
1. X^2+7x+12=0
Identify a,b, and c. Which x^2 is a, 7 is b and c is 12.
Find two numbers that multiply together to equal c which is 12 which is 3•4
And add two numbers that equal to b which is 7 which is 3+4
= (x+3)(x+4)=0
Set each factor to zero
X+3=0
= -3
X+4=0
=-4
This equation can be written as
(v-8)(v+5)/ (v-8)(v-3)
= v+5/v-3
Graph 3y-2x=-18
hmm, ok, x intercept is at y=0 and x=9 so the point (9,0)
y intercept is at x=0 and y=-6 so (0,-6)
all the graphs hit that
ok, so we have 3y-2x>-18
it is > and not ≥ so it is a dotted line
it is one of the first 2
ok, test points
(0,0)
0>-18?
true
so (0,0) is in it
so it is the 2nd one
