Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour x is given by x(t) = -4t^2+20t+92, where t is the number of hours since 10 AM, 0<=t<=4. a. If the price were raised to $3 per hot dog with no change in the x(t) equation, which hour would produce the most revenue? Why?
b. If the price were dropped to $1 per hot dog, but that price drop caused the number of sales to increase according to the function x(t) = -9t^2+22t+138, would the vendor make more money at the original $2 price, or at the $1 price?

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

Which function is odd check all that apply a. y=sin x b. y=csc x c. y=cot x d. y=sec x

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.