Determine whether t^3 – 3t, t^2 – 2t, 1} is a basis for pz. cite any relevant theorems and explain every step in your logic. (for example, if you use the dimension of p3 as part of your solution, explain how you found the dimension of p3.)

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.