Answer:
$5
Step-by-step explanation:
$15 / 3 = $5 per song
$20 / 4 = $5 per song
So, Killen earns $5 per song.
Answer:
The product is the opposite of the integer
Step-by-step explanation:
Answer:
The height of the ball is less than 17 feet for t > 2 seconds.
Step-by-step explanation:
The height of the ball after t seconds is given by the following equation:
![h(t) = -16t^{2} + 81](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E%7B2%7D%20%2B%2081)
For which interval of the time is the height of the ball less than 17 feet
This is t for which:
![h(t) < 17](https://tex.z-dn.net/?f=h%28t%29%20%3C%2017)
So
![-16t^{2} + 81 < 17](https://tex.z-dn.net/?f=-16t%5E%7B2%7D%20%2B%2081%20%3C%2017)
![16t^{2} < -64](https://tex.z-dn.net/?f=16t%5E%7B2%7D%20%3C%20-64)
Multiplying by -1
![16t^{2} > 64](https://tex.z-dn.net/?f=16t%5E%7B2%7D%20%3E%2064)
![t^{2} > \frac{64}{16}](https://tex.z-dn.net/?f=t%5E%7B2%7D%20%3E%20%5Cfrac%7B64%7D%7B16%7D)
![t^{2} > 4](https://tex.z-dn.net/?f=t%5E%7B2%7D%20%3E%204)
![t > \sqrt{4}](https://tex.z-dn.net/?f=t%20%3E%20%5Csqrt%7B4%7D)
![t > 2](https://tex.z-dn.net/?f=t%20%3E%202)
The height of the ball is less than 17 feet for t > 2 seconds.