(TIMED TEST) Use the graph of the function to estimate intervals on which the function is increasing, decreasing, or constant. Support the answer numerically. From the graph, it appears that: A function f(x) = -1/2 x^2 + x + 4 is decreasing for _. A function f(x) = -1/2 x^2 + x + 4 is increasing for _. The critical points is _.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Apublic library wants to place 4 magazines and 9 books on each display shelf. the expression 4s+9s represents the total number of items that will be displayed on s shelves. simplify the expression

The following frequency table relates the weekly sales of bicycles at a given store over a 42-week period. value01234567frequency367108521(a) in how many weeks were at least 2 bikes sold? (b) in how many weeks were at least 5 bikes sold? (c) in how many weeks were an even number of bikes sold?