Answer:
t=2.5 hours after the freight train leaves the station they will meet.
Step-by-step explanation:
30t = 50 (t - 1)
30t = 50t - 50
30t - 50t = -50
-20t = -50
t= -50/-20
Therefor, t=2.5 hours after the freight train leaves the station they will meet.
check the picture below.
so, the rocket will come back to the ground when h(t) = 0, thus
![\bf h(t)=-3t^2+12t\implies \stackrel{h(t)}{0}=-3t^2+12t\implies 0=-3t(t-4)\\\\[-0.35em]~\dotfill\\\\0=-3t\implies 0=t\impliedby \textit{0 seconds when it took off from the ground}\\\\[-0.35em]~\dotfill\\\\0=t-4\implies 4=t\impliedby \textit{4 seconds later, it came back down}](https://tex.z-dn.net/?f=%5Cbf%20h%28t%29%3D-3t%5E2%2B12t%5Cimplies%20%5Cstackrel%7Bh%28t%29%7D%7B0%7D%3D-3t%5E2%2B12t%5Cimplies%200%3D-3t%28t-4%29%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C0%3D-3t%5Cimplies%200%3Dt%5Cimpliedby%20%5Ctextit%7B0%20seconds%20when%20it%20took%20off%20from%20the%20ground%7D%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C0%3Dt-4%5Cimplies%204%3Dt%5Cimpliedby%20%5Ctextit%7B4%20seconds%20later%2C%20it%20came%20back%20down%7D)
Answer:
slope is -1
Step-by-step explanation:
y=mx+b
(m=slope)
(b= y-intercept)
y-intercept= -2
slope and x is -x.
there is always a 1 in front of the x.
so...
-1x = mx take out x.
m= -1 or slope = -1
I’m not quite sure what the question is, but 81 cookies distributed among 44 people would mean that each person gets 0.02 cookies each.
Answer:
14
Step-by-step explanation:
28=2x2x7
42=2x3x7
=>gcf=2x7=14
