Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or expression) that have the following solution sets: one solution: x=23.

  |x -23| = 0

Step-by-step explanation:

In order for there to be one x-intercept, the x-intercept must be the vertex. The vertex of your form will be (b, c), and you want that to be (23, 0). Hence your equation is ...

  |x -23| = 0

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!