Question

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of possible solutions to this system? 0 1 2 4

Answer 1

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 $y=ax^{2}+bx+c$ and the other equation is linear that is of the form, $y=mx+b$.

If we equate both the quadratic and the linear equations, we have

$ax^2+bx+c=mx+b$

Rewriting the above equation, we get

$ax^{2}+(b-m)x+(c-b)=0$

We get a polynomial of the second degree and therefore, the maximum number of solutions that can be obtained is 2.

Answer 2

Answer:

2

Step-by-step explanation: