Professor Blanchard is packing up the books in he office to move to a new location. A small box can hold 44 books and a large box can hold 30 books. In total, these boxes must hold at least 455 books, which is the total number of books in the professor's office. Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of small boxes
y = the number of large boxes

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 9 + 12x + 4x^2

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.

Find the maximum value of p= 4x + 5y subject to the following constraints :