If |2w - 3| > 5
then
2w - 3 < - 5 or 2w - 3 > 5
2w < - 5 + 3 or 2w > 5 + 3
2w < - 2 or 2w > 8
w < -2/2 or w > 8/2
w < -1 or w > 4
So the solution set is
S = { x E R : w < -1 or w > 4}
or using the interval notation
S = (- infinity, -1) U (4, + infinity).
I hope this helps. =)
Answer:
792
Step-by-step explanation:
It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.
So the answer is
12C5
12!
====
(12 - 5)! * 5!
12 * 11 * 10 * 9 * 8
==============
5 * 4 * 3 * 2 * 1
792
Currently, the standard deviation is 10, because on average the cards were $10 away from the mean.
Adding another card with value $25 would decrease the standard deviation because it is closer to the mean the the current standard deviation.
Hello!
X and Y intercepts are found when graphing an equation. You know the X and Y intercepts by when a point crosses the X axis, and for the Y intercept, when a point crosses the Y axis.
First off we must simplify the equation.
4y + 12 = -2x - 12
Here is the photo of the graph attached.
By looking at the graph we can see the answer is...
X intercept = (-12,0)
Y intercept = (0,-6)
Answer:
105°
Step-by-step explanation:
This is most likely the answer if the lines are perpendicular... But if It doesn't give you an image of the 2 angles, then the answer is 105°