So, we know both faucets open, can do the whole job in 6minutes
ok, how much has the faster cold water faucet done in 1minute then?
well, let's say the the rate of speed of the cold water faucet is "c", so in 1minute it has done 1/c of the whole work
now, we know the hot water faucet is slower, it takes it 3 times as long, that means is 1/3 the speed of the cold water faucet, so, how much does the hot water faucet do in 1min? well, we know is 1/3 fast as the cold one, the cold one is 1/c, what's 1/3 of 1/c? well, 1/3 * 1/c
now, we know they both added together, can do the whole job in 6 minutes, so in 1minute, they've done 1/6 of the job then
thus

Answer:
1) 56, 56, 56, -7
2) -1, -1, -1, -1
3) -7, 5, -35, -7
4) -4, -8, -4, -8
5) -21, -21, -21, -7
6) 10, -50, -5, -5
7) 48, 48, -4, 48
8) 6, -2, -2, -2
Step-by-step explanation:
Do I really have to explain? lol
Hope this helps.
Answer:
A. The maximum heigh is 81 feet
B. The ball will reach the maximum heiight at 2.25 seconds
C. The domain of the function is ![t\in [0,4.5]](https://tex.z-dn.net/?f=t%5Cin%20%5B0%2C4.5%5D)
D. The range of the function is ![h(t)\in [0,81]](https://tex.z-dn.net/?f=h%28t%29%5Cin%20%5B0%2C81%5D)
E. 4.5 seconds
Step-by-step explanation:
A ball was thrown into the air with an initial velocity of 72 feet per second. The height of the ball after t seconds is represented by the equation:

The maximum height will be at parabola's vertex. Find it:

A. The maximum heigh is 81 feet
B. The ball will reach the maximum heiight at 2.25 seconds
C. Find where the parabola intersects the x-axis:

So, the domain of the function is ![t\in [0,4.5]](https://tex.z-dn.net/?f=t%5Cin%20%5B0%2C4.5%5D)
D. The range of the function is
![h(t)\in [0,81]](https://tex.z-dn.net/?f=h%28t%29%5Cin%20%5B0%2C81%5D)
E. The ball is at the air for 4.5 seconds