Agame involves rolling a fair six-sided die. if the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. if the number is not a multiple of three, the player gets nothing. how will you model the simulation for the roll of a die? a. use the numbers 1–20 to represent the numbers rolled when a player wins. b. use the numbers 1–6 to represent the unfavorable outcomes. c. use the numbers 1–3 to represent all the outcomes. d. use the numbers 1–10 to represent the unfavorable outcomes. e. the problem cannot be solved using a simulation.

Factor. 8x2y2 – 4x2y – 12xy 4(8x2y2 – x – 12xy) 4(2xy – 4x2y – 12xy) 4x2y2(2xy – xy –3) 4xy(2xy – x – 3)

On a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q give your answer to 1 decimal place

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.