PLEASE ANSWER ILL GIVE POINTS: if the product (2x + 3)(x + k) is 2x^2 + 13x + 15, what is the value of k?

k = 5

(2x + 3)(x + k)

= 2x.x +2x.k + 3x + 3k

= 2x² + x(2k + 3) + 3k

because (2x + 3)(x + k) is 2x^2 + 13x + 15

=> 3k = 15

    2k + 3 = 10

=> k = 5

Step-by-step explanation:

there will be 35 boys in each team. : )

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1