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

2

Step-by-step explanation:

(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 and the other equation is linear that is of the form, .

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

Rewriting the above equation, we get

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

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

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