In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g(x) = x - 5/2 to determine if f(x) and g(x) are inverses of each other.

Figure abcd is a parallelogram. if point c lies on the line x = 2, what is the y-value of point c?

Complete the solution of the equation. find the value of y when x equals to 1 9x-5y=29

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.