Two cyclists, A and B, are going on a bike ride and are meeting at an orchard. They left home at the same time. Functions A and B give their distance from the orchard, in miles,
after riding for x hours. The functions are defined by these equations:
A(x) = -21% + 48.5
B(x) = -16.8x + 42
For each question, explain or show your reasoning.
a. Which cyclist lives farther away from the orchard? How do you know?
b. Who will get to the orchard first? Explain your reasoning.

Marla bought a book for $12.95, a binder for $3.49, and a backpack for $44.99. the sales tax rate is 6%. find the amount of tax and the total she paid for these items

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?

If f (x) = 2x2 +5/(x-2), complete the following statement: f(6) =