Jim stands on a dock that is 3 3/4 feet above the lake. He dives down 12 1/2 feet below the dock. What is Jims vertical location relative to the lake surface?

Given:

Jim stands on a dock that is feet above the lake. He dives down feet below the dock.

To find:

The Jims vertical location relative to the lake surface.

Solution:

We have,

Vertical location of dock relative to the lake surface feet

He dives down feet below the dock. So,

Vertical location relative to the lake surface

Taking LCM, we get

Here, negative sign means Jim location is below the lake surface.

Therefore, Jim is feet below the lake surface.

y=x+9

?

step-by-step explanation:

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: