Which statements are true for the functions g(x) = x^2 and h(x) = –x^2 ? check all that apply. a.for any value of x, g(x) will always be greater than h(x).b. for any value of x, h(x) will always be greater than g(x).c. g(x) > h(x) for x = -1. d. g(x) < h(x) for x = 3. e. for positive values of x, g(x) > h(x). f. for negative values of x, g(x) > h(x)

Klein read 30 pages of a book on monday and 1/8 of the book on tuesday. he completed the remaining 1/4 of the book on wendesday. how many pages are there in the book?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

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.