How many different ways can the 1st, 2nd, 3rd, and 4th place trophies be awarded to the 8 finalists (assume there cannot be any ties)?

Xto the second power plus 14x plus 48. what are the factors? we are doing factoring trinomials with a=1

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.

Which pair of numbers is relatively prime? a. 105 and 128 b. 130 and 273 c. 205 and 350 d. 273 and 333