Please help me solve this problem and explain why so I can understand if you can please

Solve and explain, that's what we're here for.

We're asked for the intersection of a line and a parabola; there may be zero, one or two intersections.  We can write the quadratic and examine its discriminant.

x = 2y + 5

It's probably easier if we do y as a function of x.

x - 5 = 2y

y = (x-5)/2

That's equal to

y = (2x - 3)(x + 9)

(x-5)/2 = 2x² + 15x - 27

x - 5 = 4x² + 30x - 54

0 = 4x² + 29x - 49

Discriminant is d=b²-4ac = 29² - 4(4)(-49).  Since ac<0 we get d>0 so two solutions.

C) 2

We could solve the equation with the quadratic formula but they didn't ask so we won't.

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.