True, you can even test it out yourself. If the domain (x) is the same then it will be a vertical line. Like if you graphed (1,2) (1,4), (1,6) it will be a vertical line on your graph. I hope this helps!
5 trumpet players
let s represent saxophone players and t trumpet players
thus t = s - 10 → ( 10 less than saxophone players)
also s = 3t = 3( s - 10)
solve s = 3( s - 10)
s = 3s - 30
subtract s from both sides of the equation
0 = 3s - s - 30
0 = 2s - 30
add 30 to both sides
30 = 2s
divide both sides by 2
= s ⇒ s = 15
number of trumpet players = 15 - 10 = 5
Answer: the last option is equal
Step-by-step explanation:
A) We want to know when h=10 so
10=-16t^2+40t+3
16t^2-40t+7=0
Using the quadratic formula:
t=(40±√1152)/32
t≈0.189 and 2.311 seconds
So it is at 10 ft twice, about 2/10 of a second when it is rising and at 2 3/10 of a second when it is falling...
b.
The maximum height of the ball is when velocity is equal to zero, or dh/dt=0
dh/dt=-32t+40, dh/dt=0 when 32t=40, t=40/32=5/4=1.25 seconds
h(1.25)=28ft
So the maximum height of the ball occurs after 1.25 seconds and reaches a height of 28 feet.
$1,241 is my answer.er. I used a calculator for interest, so I'm sure this is the correct answer. Rounding it to the nearest hundredth I suppose it would be $1,200. I'm not good at rounding, but I hope this has helped you some.