Question

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 y = -x² + 7x + 3 and the path of the dog is modeled by
y = 2x + 7, will the dog catch the frisbee? If so, what are the coordinates of the point or points

where they meet?

O Yes, they intersect at the coordinates (-1,-3) and (4, 15)

O Yes, they intersect at the coordinates (1,9) and (4, 15)

O Yes, they intersect at the coordinates (2, 13) and (3, 13)

O No, the paths do not cross

Answer 1

The paths will cross when the coordinates are (1,9) and (4, 15).

What is a model?

A model is a representation of reality. Now we have that the path of the frisbee is y = -x² + 7x + 3 while the path of the dog is  y = 2x + 7.

The both paths will cross when;

-x² + 7x + 3 = 2x + 7

-x² + 5x - 4 =0

x=1 or x=4

If x = 1, y = 2(1) + 7 = 9

If x = 4, y = 2(4) + 7 = 15

Thus the paths will cross when the coordinates are (1,9) and (4, 15).

Learn more about a model:brainly.com/question/14281845

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