Patty has just completed her second semester in college. she earned a grade of upper c in her 4-hour calculus course, a grade of upper d in her 11-hour psychology course, a grade of upper a in her 4-hour physics course, and a grade of upper c in her 2-hour studio art course. assuming that a equals 4 points, b equals 3 points, c equals 2 points, d equals 1 point, and f is worth no points, determine patty's grade-point average for the semester.

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:

to complete this square you have to rotate about the origin 270 degrees clockwise.