Question

the first equation in the system presented here represents the path of the sailboat. the second equation represents the path of the motorboat.

( y = - 0.5 ( x - 2 ) ^ { 2 } + 0.5 )

( y = 0.5 ( x + 1 ) ^ { 2 } - 1.5 )

you used substitution to obtain the equation ( 0 = x ^ { 2 } - x + 0.5 ) from the system.

how many real solutions does the system have?

0

1

2

complete

what does it mean in this context that the system of equations has no real solutions?

the boats started at different times.

the boats paths are not parabolas.

the boats paths do not cross each other.

the boats are traveling at different speeds.

Explanation:

In a system of equations representing the paths of two objects (here, boats), the solutions correspond to the points where the paths intersect. If there are no real solutions, it means there are no points of intersection.

Answer:

The boats' paths do not cross each other.