Suppose i want to take a box (cuboid) on my trip that will allow me to carry on as much as possible, and that i also want this box to have a square base. the questions we will answer using optimization are: what dimensions should the box have, and what would be the resulting maximum volume?

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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:

if you was gonna solve for a, a is a   < -12

ratio is 2 : 9

the answer is three

13.5 : 3