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.
37 is prime, so it's only factors are 1 and 37
<span>51 has factors of 1,51 and 3,17 </span>
<span>45 has factors of 1,45 ; 3,15 and 5,9 </span>
Answer:
In the last diagram the object is being acted upon by forces not adding up to zero.
Step-by-step explanation:
(Assuming force 1=force 2 in terms of magnitude)
Let forces acting towards the left = -1
Let forces acting toward the right = +1
In the first diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the second diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the third diagram, force1 is acting towards the right and force2 is acting towards the left:
Total force = force1+force2=+1-1=0
In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:
Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.
Answer:
3 layers
Step-by-step explanation:
Given
--- side length of the cube
Each layer = 2 * 2 cube
Required
Determine the number of layers
First, we calculate the volume of each layer:
The length of the layer is:
Next, we calculate the volume of each layer:
The number of layer is calculated by dividing the volume of the tower by the volume of each layer
Answer:
Total Cost = 14.50
Step-by-step explanation:
We have to assume that the third child pays a regular fee to get in.
2 adults = 2 * $4.50 = $9.00
2 children = 2*$2.75/2= $2.75
1 more child<u>=1*$2.75 = $2.75</u>
Total $14.50
The 2 children 1/2 price is rather tricky. You could firgure out what 1/2 price is and then just double it, but that is rather long. And it will come to what I have. So let's try it
1/2 of 2.75 = 1.375
2 * 1.375 = 2.75
It is just as easy to show it rather than doing it.
