A train leaves the station at time t = 0. Traveling at a constant speed, the train travels 390 kilometers in 3 hours. Answer parts a and b.

a. Write a function that relates the distance traveled d to the time t.
The function that relates the distance traveled d to the time t is
(Type an equation.)

b. Graph the function, and tell weather it is a linear function or a nonlinear function

The difference between two numbers is one. three times the larger number minus two times the smaller number is 9. what are the two numbers

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.

The algebraic expression shown below is missing two whole number constants. determine the constants so that the expression simplified to 14x + 11 4x + 8(x + + + 2x