How does the common difference of an arithmetic sequence relate to the sequence’s corresponding linear function?
a. it is the first term of the linear function.
b. it is the slope of the linear function.
c. it is the common ratio of the linear function.
d. it is the y-intercept of the linear function.

B.

Step-by-step explanation:

The nth term  (an) = a1 + d(n - 1) where d is the common difference.

It is the slope of the linear function.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.