Which of the following shows 8x3y + x2 − 14z − 2 + 5y2x written in standard form?

Step-by-step explanation:

For a polynomial to be written in standard form, we arrange the terms of x from greatest degree to least.

The greatest power of x in this expression is x³.  This term comes first.  The next greatest is x²; this is second.  Next we have the term with x¹, then the one with the variable z, and lastly the constant term.

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: