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: 31/35
Step-by-step explanation:
Answer:
The gradient is -2.
Step-by-step explanation:
The gradient = rise/ run
= (0-6)/(3-0)
= -6/3
= -2.
Answer:
x2 + 10x +25 = (x+5)^2
Step-by-step explanation:
x^2 + 10x
To complete the square
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 =25
Add it
x2 + 10x +25
The coefficient of x divided by 2 is the factor we add to x inside the square
(x+5)^2
Jessica's annual salary is $68571.43.
Data;
- percentage saved for housing = 28%
- amount saved annually = $1600
<h3>Percentage</h3>
This is the ratio of a number to the entire value and multiplied by 100
The percentage set aside for housing is given as 28% which is $1600.
Let find 28% of x which is equal to 1600
cross multiply both sides and solve for x
Divide both sides by the coefficient of x
Her monthly income is $5714.28.
Let's multiply this by 12 (months in a year) to determine her gross monthly income.
From the above calculations, Jessica's annual salary is $68571.43.
Learn more on percentage here;
brainly.com/question/25567167
