Please help me 1. Draw the side view of your roller coaster on graph paper. For the sake of
simplicity, assume that your roller coaster track never turns left or right.
o In order to gain speed, the roller coaster should have an initial climb,
at least two hills, and one loop.
2. Label the x- and y-axes. The value of x measures the horizontal distance
from the roller coaster cart to the starting point, and the value of y
represents the height of the roller coaster cart.
3. Plot ordered pairs on the initial climb and determine the slope.
4. What is the equation of the line that represents your initial climb?
5. What is the domain and range of your roller coaster?
6. Plot ordered pairs at the top and the end of each hill. Find the rate of change
to determine which hill is steeper? How do you know that hill is steeper?
7. Is your roller coaster a function? Why or why not?

Aline passes through (1,-5) and(-3,7) write an equation for the line in point slope form rewrite the equation in slope intercept form

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

4. bob solved the inequality problem below incorrectly. explain his error and redo the problem showing the correct answer. ? 2x + 5 < 17 ? 2x + 5-5 < 17-5 -2x/-2 < 12/-2 x < -6