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Chapter 2: Q49. (page 107)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x鈭�0.25=0.25.

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=b and b鈮�0, thena=b or a=鈭�b.

02

Step-2. Find the mid-point of points 0 and 0.5.

To find the point midway between two points 0 and 0.5, add the two values and divide by 2.

Midpoint=0+0.52=0.52=0.25

03

Step-3. Write the equation.

Since, the midpoint of 0 and 0.5 is 0.25, that is, the distance from 0 to 0.25 is 0.25 units and the distance from 0.25 to 0.5 is also 0.25 units.

So, the absolute value equation will be: x鈭�0.25=0.25.

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Most popular questions from this chapter

Write a problem based on the given information.

p=Beth's salary; 0.1p=bonus;p+0.1p=525

Write and use an equation to find the number of octaves on a piano keyboard.

Solve each equation. Check your solution.

5n+6=鈭�4

Which equation represents the second step of the solution process?

Step 1: 42x+7鈭�6=3x

Step 2: _________________

Step 3: 5x+28鈭�6=0

Step 4: 5x=鈭�22

Step 5: x=鈭�4.4

  1. 42x鈭�6+7=3x
  2. 42x+1=3x
  3. 8x+7鈭�6=3x
  4. 8x+28鈭�6=3x

Translate the following sentence into a formula:

鈥淥ne-third the product of the length of the side squared and the height is the volume of a pyramid with a square base鈥�.
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