Write the absolute value equation if it has the following solutions. hint: your equation should be written as |x−b| =c. (here b and c are some numbers.) chapter reference b two solutions: x=2, x=12.

We know that we need to write our absolute value equation as . We also know that the solutions must be and . We need to replace those values for in our absolute value equation, so we can create a system of equations and find the values of   and .

- For

equation (1)

- For

equation (2)

Now we can solve our system of equations step-by-step:

Step 1. Replace equation (1) in equation (2)

Step 2. Square both sides of the equation to get rid of the absolute values

Step 3. Use the square of a binomial formula: and solve the equation.

For our first binomial, , and ; for our second binomial, , and

equation (3)

Step 4. Replace equation (3) in equation (2) to find the value of

Putting it all together we can conclude that our absolute value equation is

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation:

-81 -56 -27 0 81

step-by-step explanation: