Answer:
a) General admission since it costs 45 dollars total and the vip costs 50 dollars
b) VIP, since for the vip it's 15 rides for 80$ and 12 rides for the general, the vip is generally for the people who want to go on more rides compared to the general
Step-by-step explanation:
Answer:
150000000
Step-by-step explanation:
Answer:
Excluded Value : 3 and -5
Step-by-step explanation:
hello :
Excluded Value : and
the excluded value when : x²+2x-15=0
(
x²+2x+1)-1-15=0
means : (x+1)²-16=0 (x+1)²-4² = 0
by identity : a²-b² =(a-b)(a+b)
(x+1-4)(x+1+4) =0 so : (x-3)(x+5) =0 means : x-3=0 or x+5=0
x=3 or x= -5
Excluded Value : 3 and -5
This is so provided that the velocity changes continuously in which case we can apply the mean value theorem.
<span>Velocity (v) is the derivative of displacement (x) : </span>
<span>v = dx/dt </span>
<span>Monk 1 arrives after a time t* and Monk 2 too. </span>
<span>Name v1(t) and v2(t) their respective velocities throughout the trajectory. </span>
<span>Then we know that both average velocities were equal : </span>
<span>avg1 = avg2 </span>
<span>and avg = integral ( v(t) , t:0->t*) / t* </span>
<span>so </span>
<span>integral (v1(t), t:0->t*) = integral (v2(t), t:0->t*) </span>
<span>which is the same of saying that the covered distances after t* seconds are the same </span>
<span>=> integral (v1(t) - v2(t) , t:0->t*) = 0 </span>
<span>Thus, name v#(t) = v1(t) - v2(t) , then we obtain </span>
<span>=> integral ( v#(t) , t:0->t*) = 0 </span>
<span>Name the analytical integral of v#(t) = V(t) , then we have </span>
<span>=> V(t*) - V(0) = 0 </span>
<span>=> V(t*) = V(0) </span>
<span>So there exist a c in [0, t*] so that </span>
<span>V'(c) = (V(t*) - V(0)) / (t* - 0) (mean value theorem) </span>
<span>We know that V(0) = V(t*) = 0 (covered distances equal at the start and finish), so we get </span>
<span>V'(c) = v#(c) = v1(c) - v2(c) = 0 </span>
<span>=> v1(c) = v2(c) </span>
<span>So there exist a point c in [0, t*] so that the velocity of monk 1 equals that of monk 2. </span>
Answer:
0.88 (I think this is how Mrs. Futch wants it to be written)
Step-by-step explanation:
h=-16t^2+14t
(Substitute h with 0)
0=-16t^2+14t
(Factor)
0=2t(-8t+7)
2t=0 -8t+7=0
t=0 t=0.88
{0, 0.88}
(John Komperda)
