1. Points A and B are to be mapped onto a number line according to two equations. The solution to the equation 3x – 11 = 10 is the coordinate of point A. The solution to the equation 2x + 18 = -4 is the coordinate of point B. (a) Solve the first equation to find the coordinate of point A. Show your work. (5pts)
(b) Solve the second equation to find the coordinate of point B. Show your work. (5pts)
(c) Determine the distance between points A and B. Explain. ( 5pts)

Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

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.

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.