Question

16. An empty jar has a volume of

8x^2 + 2x - 4 cubic inches. Josh pours
4x^2 – 3x +2 cubic inches of water
into the jar. How many more cubic
inches of water could the jar still
hold?

Answer 1

9514 1404 393

Answer:

4x^2 +5x -6

Explanation:

The remaining empty space is the difference between the original amount of empty space and the volume that was filled.

(8x^2 +2x -4) -(4x^2 -3x +2) = 8x^2 +2x -4 -4x^2 +3x -2

= (8 -4)x^2 +(2 +3)x +(-4 -2)

= 4x^2 +5x -6

The jar could hold 4x^2 +5x -6 more cubic inches.