Write an equation for each translation of y= |x|. 15.5 units left y = | x | – 15.5 y = | x + 15.5 | y = | x | + 15.5 y = | x – 15.5 |

y = | x + 15.5 |.

Step-by-step explanation:

Given : y= |x|.

To find : Write an equation for each translation of y= |x|. 15.5 units left .

Solution : We have given that y= |x|.

By the translation rule :if function transformed to  f(x ) →→→ f(x +h) Then graph of the function would shift h units left.

For translation 15.5 unit left we need to add 15.5 in function y= |x|.

y = | x + 15.5 |

Therefore, y = | x + 15.5 |.

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:

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.