The solution to the problem is as follows:
<span>'(t) = 0 gives:
-24t + 60 = 0
t = 2.5
For this t, the second derivative s"(t) = -24 is negative.
And so, s(t) is maximum for t = 2.5.
Maximum height is:
S = -12(2.5)^2 + 60(2.5) +8 = 233ft
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
x = 10
Step-by-step explanation:
4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side
4x + 3x - 3 = 67
7x - 3 = 67 ( add 3 to both sides )
7x = 70 ( divide both sides by 7 )
x = 10
1): Answer =====> Letter Choice, (B), The rate in which you walked home, The slope is the same, as the Rate of Change, In Distance Divided by the Change in Time =====> d = 4 -1/15t(4) / 1/15t
2): The Equation: d = -1/15t + 4
The more the Number of Minutes: Larger the Negative Quantity; ====> -1/15t
The Larger the Negative Quantity in Equation: D value is Smaller:
Therefore your Answer ===> The Distance from home (d), Decreased with Minute Walked (t) ====> So, Letter Choice, (C)
2): Towards your home, The slope is Negative, and the Distance (y - value), Decreases, as the Time (x- Values), Increases. Notice the Slope is Negative, Because, you are getting closer to home.
Hope that helps!!!! : )
Answer:
E and B
Step-by-step explanation: