You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is [tex]$y = -x^2 + 8x + 7$[/tex] and the path of the dog is modeled by [tex]$y = 2x + 7$[/tex], will the dog catch the frisbee? If so, what are the coordinates of the points where they meet?
A. Yes, they intersect at the coordinates [tex]$(0,7)$[/tex] and [tex]$(3,13)$[/tex].
B. Yes, they intersect at the coordinates [tex]$(0,7)$[/tex] and [tex]$(6,19)$[/tex].
C. Yes, they intersect at the coordinates [tex]$(0,7)$[/tex] and [tex]$(7,21)$[/tex].
D. No, the paths do not cross.