Question

PLEASE HELP ASAP!!

Answer 1

Answer:

The parabolic equation does not intersect the linear equation.

Explanation:

Given equation's:

• y = x² − 5x + 9
• y = -2x

To solve , use substitution method by inserting 2nd equation into 1st

$\sf y = x^2 - 5x + 9$

when substituted y = -2x

$\sf -2x = x^2 - 5x + 9$

collect terms

$\sf x^2 - 5x+ 2x + 9=0$

simplify

$\sf x^2 - 3x + 9=0$

Find discriminant:

$\sf b^2 - 4ac$

$\sf (-3)^2 - 4(1)(9)$

$\sf -27$

As the discriminant is negative, it tell us that they both does not intersect each other.