You buy 2 t-shirts in a sale. you pay the full price of $12 for the first t-shirt, and you
get the second t-shirt for half this price. what fraction of the full price do you pay for 2
shirts?
a. 1/4
b. 1/2
c. 3/4
d. 2/2

answer:

c

step-by-step explanation:

full price is 12 dollars per shirt. 12 * 2 = 24 (full)

12 + 6 = 18 (discount)

18/24 = 3/4

answer:

(2x + 3)(2x - 1)

step-by-step explanation:

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 3 = - 12, sum = + 4

the factors are + 6 and - 2

split the middle term using these factors

4x² + 6x - 2x - 3 ( factor the first/second and third/fourth terms )

= 2x(2x + 3) - 1(2x + 3) ← factor out (2x + 3)

= (2x + 3)(2x - 1)