The tide level goes down all evening, and Hamid’s instruments read 11 ft above his marker 1 hour before he arrived. Write the equation in slope-intercept form of the line that represents today’s tide level y relative to the marker over time x, if Hamid knows the line is parallel to the graph of yesterday’s data, y=−8x− 2.

1. are the triangles similar and if so why? what is the value of x? show your work.

Look at the following graph of the given equation. determine whether the equation is a function. explain why or why not.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)