For this case we have the following function:
<span>w (x) = - 5 (x-8) (x + 4)
</span><span>Rewriting we have:
</span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
</span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
</span><span>w (x) = - 5x ^ 2 + 20x + 160
</span><span>Then, deriving we have:
</span><span>w '(x) = - 10x + 20
</span><span>We equal zero and clear x:
</span><span>0 = -10x + 20
</span><span>10x = 20
</span><span>x = 20/10
</span><span>x = 2 seconds
</span><span>Substituting values:
</span><span>w (2) = - 5 (2-8) (2 + 4)
</span><span>w (2) = - 5 (-6) (6)
</span><span>w (2) = 180 meters
</span>Answer:
The maximum height that the stone will reach is:
w (2) = 180 meters
Answer:
227.08in^2
You want to find the surface area for this problem. SA=2lw+2lh+2hw
Step-by-step explanation:
L=2.5
W=7.4
H=9.6
SA=2lw+2lh+2hw
SA=2(2.5x7.4)+2(2.5x9.6)+2(9.6x7.4)
SA=37+142.08+48
SA=227.08in^2
Answer:We must get more than 7 digs in the remaining 5 games to break record of 26.
Step-by-step explanation:
Given situation:- Let x represents the number of digs which we must get in the remaining 5 games to break your record ,and we have 19 digs for our current volleyball season.
To break previous record of 26 digs in a season, we have to get more than 26 i.e. 19 digs added to x must be greater than 26
⇒x+19 ≥ 26
⇒x≥26-19⇒x≥7
Therefore,we must get more than 7 digs in the remaining 5 games to break record of 26.
Answer:
4 , 2, 8, 4 ..............
