can be factored into
. To double-check, you can multiply the terms together again using FOIL: first, outside, inside, last.
(3x)(x) + (3x)(8) + (-1)(x) + (-1)(8)
3x² + 24x - x - 8
3x² + 23x - 8
Check.
Answer:
The rectangular prism has the greater volume
Step-by-step explanation:
Given
Prism:


Cylinder


Required
Shape with greater volume
The volume of a rectangular prism is:

So, we have:


The volume of a cylinder is:

Where


So, we have:



So:



So, we have:


Both expressions have the same factor but different coefficient
The expression with greater coefficient has the greater volume
So, the
has the

Because: 
<span>Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, the rate of change (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis. This is true at any location on the line.</span>
Answer:
Slavery played the central role during the American Civil War. The primary catalyst forsecession was slavery, especially Southern political leaders' resistance to attempts by Northern antislavery political forces to block the expansion of slavery into the western territories.