Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
8x + 2 < 6x - 9
8x - 6x < -9 -2
2x < -11
x < -11/2
Answer:I think 4/3
Step-by-step explanation:
Answer:
333.80
Step-by-step explanation:
It’s the first box goes to the 3rd missing thing and the second goes to the 4th and the 3rd goes to the 1st and 4th goes to the 2nd I think if that makes sense
H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m
