Marisol attempted to determine the slope of a line based on the two points shown in the table below. x y –1 4 3 10 Step 1: (–1, 4) and (3, 10) Step 2: StartFraction 10 minus 3 Over 4 minus (negative 1) EndFraction Step 3: StartFraction 7 Over 5 EndFraction Which statement best explains Marisol’s error? Marisol computed StartFraction y 2 minus y 1 Over x 1 minus x 2 EndFraction. Marisol computed StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction. Marisol computed StartFraction y 2 minus x 2 Over y 1 minus x 1 EndFraction. Marisol computed StartFraction x 2 minus y 2 Over x 1 minus y 1 EndFraction.

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

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?