Question

1. what is the product of $(0.5x + 2)$ and $(x - 3)$?

a. $0.5x^2 + 5x - 6$
b. $0.5x^2 + 0.5x - 6$
c. $0.5x^2 - 1.5x - 6$
d. $x^2 + 2x - 6$

Explanation:

Step1: Apply distributive property

$(0.5x + 2)(x - 3) = 0.5x(x-3) + 2(x-3)$

Step2: Expand each term

$= 0.5x^2 - 1.5x + 2x - 6$

Step3: Combine like terms

$= 0.5x^2 + (-1.5x+2x) - 6 = 0.5x^2 - 1.5x - 6$

Answer:

c. $0.5x^2 - 1.5x - 6$