Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
X is less than or equal to $30, she can spend $30, she cant spend more, she can spend less.
The answer should look like X<30 with a line under the less than sign, i hope this helps.
Answer:
The volume of this cylinder is 9184.5 cubic feet.
Step-by-step explanation:
The area of a circle is 
and the volume of a cylinder with that base is just that area times the height:
Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:
Next, you can use that radius to calculate the area of the base:
Finally, multiply that by the height to find the volume of the cylinder:
The volume of this cylinder is 9184.5 cubic feet.
Answer:
y= 3/4x
Step-by-step explanation:
Since the Y axis is equal to 0 when the X is equal to zero. And 6/8 is equivalent to 3/4 that is the slope
