Determine the input value for which the statement f(x) = g(x) is true.
From the graph, the input value is approximately .
f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
The x-value at which the two functions’ values are equal is

Note: enter your answer and show all the steps that you use to solve this problem in the space provided. x − 2 − 1 0 1 2 y use the function rule to complete the table. − 10 x + y = 4

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.