Home Mathematics 9+3|5-x|=24What is the lines for and how do I solve X with them? 9+3|5-x|=24What is the lines for and how do I solve X with them?Mathematics Diamondgodbee123October 23, 20214 Comments9+3|5-x|=24 What is the lines for and how do I solve X with them?
30 people weigh 160 pounds or more[tex]According to the histogram above how many people weigh 160 pounds or more?[/tex]Reply
the lines represent absolute value bars[tex]x=0,10[/tex]Step-by-step explanation:STEP 1: Move all terms not containing |5−x| to the right side of the equation.[tex]3|5-x|=15[/tex]STEP 2: Divide each term by 3 and simplify.[tex]|5-x|=5[/tex]STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.5-x=±5STEP 4: Set up the positive portion of the ± solution.[tex]5-x=5[/tex]STEP 5: Solve the first equation for x.[tex]x=0[/tex]STEP 6: Set up the negative portion of the ± solution.[tex]5-x=-5[/tex]STEP 7: Solve the second equation for x.[tex]x=10[/tex]NOTE: The solution to the equation includes both the positive and negative portions of the solution.[tex]x=0,10[/tex]Reply
30 people weigh 160 pounds or more
[tex]According to the histogram above how many people weigh 160 pounds or more?[/tex]
42
step-by-step explanation:
256/6=42
the lines represent absolute value bars
[tex]x=0,10[/tex]
Step-by-step explanation:
STEP 1: Move all terms not containing |5−x| to the right side of the equation.
[tex]3|5-x|=15[/tex]
STEP 2: Divide each term by 3 and simplify.
[tex]|5-x|=5[/tex]
STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
5-x=±5
STEP 4: Set up the positive portion of the ± solution.
[tex]5-x=5[/tex]
STEP 5: Solve the first equation for x.
[tex]x=0[/tex]
STEP 6: Set up the negative portion of the ± solution.
[tex]5-x=-5[/tex]
STEP 7: Solve the second equation for x.
[tex]x=10[/tex]
NOTE: The solution to the equation includes both the positive and negative portions of the solution.
[tex]x=0,10[/tex]
x=0,10
Step-by-step explanation: