Question

1. $y = 0.75x^2 + 4x - 5$

$y = 4x - 5$

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), set \( 0.75x^2 + 4x - 5 = 4x - 5 \)

Step2: Simplify the equation

Subtract \( 4x - 5 \) from both sides: \( 0.75x^2 + 4x - 5 - (4x - 5) = 0 \)
Simplify: \( 0.75x^2 = 0 \)

Step3: Solve for \( x \)

Divide both sides by \( 0.75 \): \( x^2 = 0 \)
Take square root: \( x = 0 \)

Step4: Find \( y \)

Substitute \( x = 0 \) into \( y = 4x - 5 \): \( y = 4(0) - 5 = -5 \)

Answer:

The solution is \( x = 0 \), \( y = -5 \) (or the ordered pair \( (0, -5) \))