The following table shows the number of bottles recycled during one day. Recycling Plants Total Bottles Recycled Red Bottles Recycled
Plant A 150 60
Plant B 200 120
Plant C 175 110
Plant D 180 72
Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle more red bottles than plant A. Plant C would recycle more red bottles than plant D.

  length and width are (x +4) and (2x -3)

Step-by-step explanation:

Factoring a trinomial with a leading coefficient that is not 1 can be a little tricky. Basically, you want to find factors of the product of the first and last coefficients that have a sum equal to the middle one.

Here, that product is (2)(-12) = -24. Factors of -24 are ...

  -24 = -1·24 = -2·12 = -3·8 = -4·6

The sums of these factor pairs are, respectively, 23, 10, 5, 2. We are interested in the pair whose sum is 5: -3 and 8. Now, we can rewrite the middle term using that sum:

  2x^2 -3x +8x -12

and factor pairs of terms:

  = x(2x -3) +4(2x -3) = (x +4)(2x -3)

This is the factorization the problem is looking for.

The length and width of the pool are (x +4) and (2x -3).