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

2

Explanation:

Answer 2

(C) 2

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.