Answer:
(C) 2
Step-by-step explanation:
It is given that Pablo graphs a system of equations. One equation is quadratic that is it is in the form [tex]y=ax^{2}+bx+c[/tex] and the other equation is linear that is of the form, [tex]y=mx+b[/tex].
If we equate both the quadratic and the linear equations, we have
[tex]ax^2+bx+c=mx+b[/tex]
Rewriting the above equation, we get
[tex]ax^{2}+(b-m)x+(c-b)=0[/tex]
We get a polynomial of the second degree and therefore, the maximum number of solutions that can be obtained is 2.
