Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? determine the solution set algebraically.

(–1, –17)
(1, –27)
(–1, –17) and (1, –27)
no solutions

D. No solutions.

Step-by-step explanation:

We have been given a system of equations and we are asked to find the solution set for our given system.

To find the solution for our given system we will equate our both equations as:

We will use discriminant formula to check for the solution of our given system.

for real solutions.

Upon substituting our given values in above formula we will get,

Therefore, our given system has no solutions and option D is the correct choices.

step-by-step explanation:

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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.