Answer: Be Te Dubs meaning BTW Go To TigerAlgebra.com for questions like yours its really great
Step-by-step explanation:
|3x+6|<12
One solution was found :
-6 < x < 2
Absolute Value Inequality entered :
|3x+6|<12
Step by step solution :
Step 1 :
Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|3x+6| < 12
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |3x+6|
For the Negative case we'll use -(3x+6)
For the Positive case we'll use (3x+6)
Step 3 :
Solve the Negative Case
-(3x+6) < 12
Multiply
-3x-6 < 12
Rearrange and Add up
-3x < 18
Divide both sides by 3
-x < 6
Multiply both sides by (-1)
Remember to flip the inequality sign
x > -6
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(3x+6) < 12
Rearrange and Add up
3x < 6
Divide both sides by 3
x < 2
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
-6 < x < 2
Solution in Interval Notation
(-6,2)
Solution on the Number Line
One solution was found :
-6 < x < 2
B, C, E, F
<h2>
Explanation:</h2>
In this problem, we have the following equation of a line written in Standard form:
So we need to choose the equations that has the same solutions as this equation. If we multiply each equation by a constant term and find the same solution as the given equation, then they will have the same solution. This is only true fro options B, C, E and F.
Option B.
So we get the same given equation. This option is valid!
Option D.
So we get the same given equation. This option is valid!
Option E.
So we get the same given equation. This option is valid!
Option F.
So we get the same given equation. This option is valid!
For the other options, there is no any constant term that multiplies both sides of the equation and gives us the same given equation.
<h2>Learn more:</h2>
About this subject: brainly.com/question/8810210
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$450/week
30.5 hours/week
450/30.5 = $14.75
The answer is A (14.75/hour).
You can add the two fractions by turning 1/2 and 5/6 to have the same denominator.
Turn 1/2 into a fraction with a denominator of 6.
It would equal 3/6
5/6+ 3/6= 8/6
That simplifies to 1 1/3.
Hope this helps you!
Brainliest answer is always appreciated!
Answer:
The range is -6, 4 , 12.
Step-by-step explanation:
If the domain is -4,0,5, x can only be -4 or 0 or 5.
Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.
Sub x for -4
12x+6y=24
12(-4)+6y=24
-48+6y=24
6y = 72
y = 12
Sub x for 0
12x+6y=24
12(0)+6y=24
6y = 24
y = 4
Sub x for 5
12x+6y=24
12(5)+6y=24
60 + 6y = 24
6y = -36
y = -6
The possible values of y are -6, 4 ,12 which is the range.
In set notation: R = {y|y=-6,4,12}
