Aused book store buys a hardback book for $1.50 and then sells it for $5. over time, the store sells the same number of books it buys. the store manager can use the equation p(x)=5x−1.5x to determine the store's profit, p(x), where x is the number of books that the store sells. which statement about the book store is true based on the profit equation? a. the book store makes a profit of $5.00 for each hardback book that is sold. b. the book store makes a profit of $3.50 for each hardback book that is sold. c. the book store makes a profit of $4.50 for each hardback book that is sold. d. the book store sells each hardback book for $3.50

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

Use a standard normal table to determine the probability. give your answer as a decimal to four decimal places. −1.5< < 1.5)

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.