Mabel claims that the expression (2 x 2 – x – 15) + ( x – 3)( x + 7) is equivalent to 3( x – 3)( x + k) .
for the case where mabel's claim is true, what must be the value of k?
k=

  k = 4

Step-by-step explanation:

In order for the claim to be true, (x-3) must be a factor of each of the terms in the first expression. That is, you must have that expression factor as ...

  (x -3)(2x +5) +(x -3)(x +7)

Factoring out (x -3), we get ...

  = (x -3)(2x +5 +x +7) = (x -3)(3x +12)

  = 3(x -3)(x +4)

The value of k must be 4.

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =