Answer:
t≈8.0927
Step-by-step explanation:
h(t) = -16t^2 + 128t +12
We want to find when h(t) is zero ( or when it hits the ground)
0 = -16t^2 + 128t +12
Completing the square
Subtract 12 from each side
-12 = -16t^2 + 128t
Divide each side by -16
-12/-16 = -16/-16t^2 + 128/-16t
3/4 = t^2 -8t
Take the coefficient of t and divide it by 8
-8/2 = -4
Then square it
(-4) ^2 = 16
Add 16 to each side
16+3/4 = t^2 -8t+16
64/4 + 3/4= (t-4)^2
67/4 = (t-4)^2
Take the square root of each side
±sqrt(67/4) =sqrt( (t-4)^2)
±1/2sqrt(67) = (t-4)
Add 4 to each side
4 ±1/2sqrt(67) = t
The approximate values for t are
t≈-0.092676
t≈8.0927
The first is before the rocket is launched so the only valid answer is the second one
If it was typo and the original equation is 3x^2 - 10x - 8, then the answer would be (<span><span>3x+2)(x-4), but if not then IDK.
Hope this helps!</span></span>
Answer:
C
Step-by-step explanation:
Exponential decay should be in this format A = Ao × e^(-kt)
Answer:
That would be rational
Step-by-step explanation: If you want to break it down it would be because when I look back to middle school Rational were not even to their numerator and denominator but not sure how that applies if you have 5/5 but your answer is rational hopes this helps.