Hello from MrBillDoesMath!
Answer:
(x+2) ( x^2 + 3)
Discussion:
x^3 + 2x^2 + 3x + 6 =
(
x^3 + 2x^2) + (3x + 6) = => factor "x^2" from the first term; factor 3
from the second term
x^2( x + 2) + 3( x+2) = => factor (x+2) from each term
(x+2) ( x^2 + 3)
Thank you,
MrB
depends on the tension and the length of the rope
Answer:
11.11%
Step-by-step explanation:
So the question is:
$180 * (x)% = $y
Therefore $180 - $y = $160
Now:
180 - 160 = 20
Therefore; $20 is the discount
Now per cent of discount:
20/180 * 100 = 11.111111111111111111111%
therefore: per cent of discount is 11.11% (rounded to two decimal place)
Answer:
4x + 14
Step-by-step explanation:
The perimeter of the triangle is equal to the sum of its three sides.
The sides of the triangle are 3x-5, 2x, and 19-x.
Calculate their sum.
3x - 5 + 2x + 19 - x
Rearrange.
3x + 2x - x + 19 - 5
Add or subtract like terms.
4x + 14
The perimeter of the triangle is 4x + 14.
Answer:
Step-by-step explanation:
Lines with undefined slopes are perfectly vertical, of the form "x = ". A line with "the same x-intercept" as the given line that has an undefined slope will be the line that we want. I know that sounds confusing; we'll work through it then I'll explain it better. In order to find the x-intercep of the given line, solving it for y will make it a bit easier to "see". Therefore,
-y = -x + 1 and
y = x - 1. The x-intercept exists when y = 0, so setting y equal to 0 and solving for x:
0 = x - 1 and
1 = x. That's the x-intercept. It's also the line that we want that has an undefined slope, because "x = " lines are lines vertical lines and vertical lines have undefined slopes.
x = 1 is the line you want.
