The moon's distance from Earth varies in a periodic way that can be modeled by a trigonometric function. When the moon is at its perigee (closest point to Earth), it's about 363,000 km away. When it's at its

apogee (farthest point from Earth), it's about 406,000 km away. The moon's apogees occur 27.3 days

apart. The moon will reach its apogee on January 2, 2016.

Find the formula of the trigonometric function that models the distance D between Earth and the moont

days after January 1, 2016. Define the function using radians.

D(t)=

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Which expression is equivalent to -5(3x - 6/7)

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10