Use the identity x^3+y^3+z^3−3xyz=(x+y+z)(x^2+y^2+z^ 2−x^y−y^z−z^x) to determine the value of the sum of three integers given: the sum of their squares is 110, the sum of their cubes is 684, the product of the three integers is 210, and the sum of any two products (xy+yz+zx) is 107.

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.