Complete each problem below, showing all pertinent work. Write each equation in function notation, then solve the function for the given value.
Function Solution
y = 5x - 4 when x = 5

y = -2/5x + 3/8 when x = 1/3

y = 3x + 12 when x = 4

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The graph shows the prices of different numbers of bushels of corn at a store in the current year. the table shows the prices of different numbers of bushels of corn at the same store in the previous year. previous year number of bushels price of corn (dollars) 2 10 4 20 6 30 8 40 part a: describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. part b: how many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? show your work.

Which conjunction is disjunction is equivalent to the given absolute value inequality? |x+2|< 18

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.