Algebra 2 Absolute Value, Piece-wise and Linear Programming: Spencer is an artist getting ready for a gallery opening. He paints both watercolors and pastels. Each type of picture takes him about the same amount of time to paint. He figures he has time to paint at most 16 pictures. The materials for each watercolor will cost him $15 and the materials for each pastel will cost him $5. He has $180 to spend on materials. Spencer makes $100 profit on each watercolor and $40 profit on each pastel. How many of each type should Spencer paint to achieve maximum profit?

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:

thats not a system of equations, that is a solution

answer: list the statements and i will follow up!

step-by-step explanation:

answer: (3,11) is your answer.