Answer:
x^3 + 4x^2 - 9.
Step-by-step explanation:
(x + 3)(x^2 + x - 3)
= x(x^2 + x - 3) + 3(x^2 + x - 3)
= x^3 + x^2 - 3x + 3x^2 + 3x - 9
= x^3 + 4x^2 - 9.
Answer:
see below
Step-by-step explanation:
h=−4.9t^2 +39.2t
When will if fall back to the ground
When will h=0
0 =−4.9t^2 +39.2t
Factor out a -t
0 = -t (4.9t -39.2)
Using the zero product property
-t =0 4.9t - 39.2 =0
t =0 4.9t = 39.2
t =39.2 /4.9
t =8
It will reach the ground again at 8 seconds
The maximum height is halfway between the zeros
(0+8)/2 = 4
It will reach the max height at 4 seconds, substituting this in to find the max height
h=−4.9 (4)^2 +39.2(4)
h = 78.4 meters
This will only be applicable between t=0 and t=8 seconds
0≤t≤8 seconds
I think you are suppose to get "k" by itself, so you first multiply 2/5 to (k - 2)
-8 ≤ 2/5 (k - 2)
-8 ≤ 2/5k - 4/5
Next you add 4/5 on both sides
-8 + 4/5 ≤ 2/5k
Then you make the denominators the same in order to add them
-40/5 + 4/5 ≤ 2/5k
-36/5 ≤ 2/5k
Finally you multiply each side by 5/2 to get "k" by itself
-18 ≤ k