Part A:
Given that t<span>he
height of a batted ball is modeled by the function
![h=-0.01x^2+1.22x+3](https://tex.z-dn.net/?f=h%3D-0.01x%5E2%2B1.22x%2B3)
,
where x is the horizontal distance in feet from the point of impact with
the bat, and h is the height of the ball in feet.
At maximum height,
![\frac{dh}{dx} =0](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdh%7D%7Bdx%7D%20%3D0)
![\frac{dh}{dt} =0 \\ \\ \Rightarrow-0.02x+1.22=0 \\ \\ \Rightarrow0.02x=1.22 \\ \\ \Rightarrow x= \frac{1.22}{0.02} =61](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D0%20%5C%5C%20%20%5C%5C%20%5CRightarrow-0.02x%2B1.22%3D0%20%5C%5C%20%20%5C%5C%20%5CRightarrow0.02x%3D1.22%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20x%3D%20%5Cfrac%7B1.22%7D%7B0.02%7D%20%3D61)
Thus, the maximum height occurs when x = 61 feet and the maximum height is given by
![h=-0.01(61)^2+1.22(61)+3 \\ \\ =-0.01(3,721)+74.42+3=-37.21+77.42 \\ \\ =40.21](https://tex.z-dn.net/?f=h%3D-0.01%2861%29%5E2%2B1.22%2861%29%2B3%20%5C%5C%20%20%5C%5C%20%3D-0.01%283%2C721%29%2B74.42%2B3%3D-37.21%2B77.42%20%5C%5C%20%20%5C%5C%20%3D40.21)
Therefore, the maximum height is 40.21 feet.
</span>
Answer:
Step-by-step explanation:
What's the answe
Answer:
let x be the most miles Mr. Gary can drive without spending more than $320
320 = $62.50 + $0.12*x
x = 2145.8333miles =12875/6
Mr. Gary can drive 2145.8333miles without spending more than $320
Answer:
ratio of yards to minutes is;
900:10 or 90:1
Step-by-step explanation:
From research, the average person walks at around 3 miles per hour which approximately 1.5 yards/s.
Now, 60 seconds make a minute.
Which means in a minute, an average person will have walked; 1.5 × 60 = 90 yards/minute
Thus, in 10 minutes, average person will have walked; 90 × 10 = 900 yards
Thus, ratio of yards to minutes is;
900:10 or 90:1
Answer:
x=-2/3,2
Step-by-step explanation: