Five distinct numbers are randomly distributed to players numbered 1 through 5. whenever two players compare their numbers, the one with the higher number is declared the winner. initially, players 1 and 2 compare their numbers; the winner then compares with player 3, and so on. let x denote the number of times player 1 is a winner. find pfx

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

Place the following steps in order to complete the square and solve the quadratic equation,

Need asap. solve for the following inequality