Bill is shopping for new shoes. He found 4 pairs of shoes that he likes, while he is in line he finds a pair of socks for $12 that he also purchases. If all 4 pairs of shoes are the same price and he spends $452 total for the 4 pairs of shoes and 1 pair of socks. How much does each pair of shoes cost? *

In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision. (1,-1), (2,0.5), (5,1.5), (8,2)

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Complete the solution of the equation. find the value of y when x equals to 6 4x+y=20