Suppose your total benefit from eating slices of pizza​ (value in​ dollars) is x​, where x is the number of slices of pizza. Pizza is sold by the slice and costs ​$ per​ slice, and so the total cost of pizza is x. Using optimization in​ levels, what is the optimal amount of pizza for you to​ eat?

Does anyone know how to solve and graph this: 4 + | a + 2 | < 7the only part i don't get is the "4 +"

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?