3 married couples purchase 6 tickets that have them sitting together in a row at a basketball game. In how many ways can they be seated if they must be seated in couples

6

Step-by-step explanation:

We have 6 seats in a row:

1 2 3 4 5 6

We have 3 couples to fit into 3 slots:

Slot 1: First 2 seats

Slot 2: 2 middle seats

Slot 3: Last 2 seats

(Note: they can't sit in seats 2 and 3, with another couple in 4 and 5 - as the last couple would need to be separated in seats 1 and 6)

The first slot can have any of the 3 couples.

The second slot can have any of the 2 remaining couples.

The third slot can only have the 1 remaining couple.

3 options (slot 1), each of those having 2 options (slot 2), with each of those only having 1 option (slot 3).

Total number of options is thus,

3 * 2 * 1 = 6

true

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.