Select the correct answer.
which function is represented by this graph?

Option B will be the correct one.

Step-by-step explanation:

See the attached graph.

Here, the graph of f(x) = |x - 7| - 3 is plotted.

Now, from the definition of the absolute value function

f(x) = x - 7 - 3 = x - 10, for x ≥ 7   (1) and

f(x) = - x + 7 - 3 = - x + 4, for x < 7 (2)

Now, for x ≥ 7, the plotted graph passes through the points (7,-3) and (10, 0) and equation (1) satisfies the points.

Again, for x < 7, the plotted graph passes through the points (4,0) and (0,4) and equation (2) satisfies the points.

Hence, option B will be correct one.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: