Juan used algebraic properties to make an equivalent expression. He listed the properties in the order that he used them. Which steps match the properties used? 15 + 7 n minus 8 + 3n = 7 n + 3 n + 15 minus 8 = (7 + 3) n + 15 minus 8 = 10 n + 7
12 n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9
15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9
12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?