In how many ways can 8 people be seated in a row if: (a) there are no restrictions on the seating arrangement? (b) persons a and b don't want to seat together? (c) there are 4 men and 4 women and no 2 men or 2 women can sit next to each other? (d) there are 4 married couples and each couple must sit together?

Which zero pair could be added to the function f(x) = x2 + 12x + 6 so that the function can be written in vertex form? o 3, -3o 6,629,-936, 36

Given the system of equations presented here: 2x + 4y = 14 4x + y = 20 which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? multiply the second equation by â’4 to get â’16x â’ 4y = â’80 multiply the second equation by â’1 to get â’4x â’ y = â’20 multiply the first equation by 2 to get 4x + 8y = 28 multiply the first equation by â’1 to get â’2x â’ 4y = â’14

Compute the standard deviation of the following set of data to the nearest whole number. 10, 10, 15, 20, 25