Ok I have 3 problems I need help on. One of them has 4 parts...I have done the first three and have an idea for the last part but I'm not completely sure and can't solve it.
The other 2 are the same question just with different numbers, if Icould get help on one I would like to do the other myself. So any help would be awesome!
1. The height y (in feet) of a ball thrown by a child is y= -1/12 X^2 + 2X + 4 where X is the horizontal distance (in feet) from where the ball is thrown
(a) Hraph the function on a utility (did it)
(b) How high is the ball when it leaves the child's hand? (did it...I got 4 feet)
(c) How high is the ball when it is at its maximum height? (did it...I got 16 feet)
(d) How far from the child does the ball strike the ground? (This is where I need help)
For part D I think I need to make y = 0 correct? If that is so I just need to solve for X, but I can't seem to do it. Do I need to factor out -1/12? That is one thing I tried, and I got -1/12( X^2 - 24X - 48) and I can't factor that.
QUESTIONS 2 & 3:
Consider a rectangle of length X and perimeter P
(a) Express the area A as a function of X and determine the domain of the function
(b) Use a graphing utility to graph the area function
(c) Use the graph to approximate the length and width of the rectangle of maximum area, and verify algebraically
1. P = 100 ft
2. P = 36 meters
If someone can show me how to do one of those I will try to do the other
The other 2 are the same question just with different numbers, if Icould get help on one I would like to do the other myself. So any help would be awesome!
1. The height y (in feet) of a ball thrown by a child is y= -1/12 X^2 + 2X + 4 where X is the horizontal distance (in feet) from where the ball is thrown
(a) Hraph the function on a utility (did it)
(b) How high is the ball when it leaves the child's hand? (did it...I got 4 feet)
(c) How high is the ball when it is at its maximum height? (did it...I got 16 feet)
(d) How far from the child does the ball strike the ground? (This is where I need help)
For part D I think I need to make y = 0 correct? If that is so I just need to solve for X, but I can't seem to do it. Do I need to factor out -1/12? That is one thing I tried, and I got -1/12( X^2 - 24X - 48) and I can't factor that.
QUESTIONS 2 & 3:
Consider a rectangle of length X and perimeter P
(a) Express the area A as a function of X and determine the domain of the function
(b) Use a graphing utility to graph the area function
(c) Use the graph to approximate the length and width of the rectangle of maximum area, and verify algebraically
1. P = 100 ft
2. P = 36 meters
If someone can show me how to do one of those I will try to do the other