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.
Answer:
[14] 139
[15] 90
[16] 41
[17] 49
[18] 139
[19] 131
Step-by-step explanation:
[14] Since m ∠ CEB is vertical with m ∠ AED = 139
[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree
[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41
Note: vertical angles are angles opposite each other where two lines cross.
[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49
[18] To Find m ∠CEB we have to subtract from m ∠ DEB
180 - 41 = 139
[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41
Then m ∠ AEF = 90 +41=131
<u><em>~Lenvy~</em></u>
Divide the total # of lip gloss Ayesha bought by the total cost.
24/$18.96
=$1.26582278 If the unit cost is rounded to the hundreths, it'll be $1.27.
