Answer:
They can be seated in 120 differents ways.
Step-by-step explanation:
Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)
It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:
<u> 5 </u>*<u> 4 </u>* <u> 3 </u> * <u> 2 </u> * <u> 1 </u> = 120
1st place 2nd Place 3rd place 4th Place 5th Place
Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.
Finally, they can be seated in 120 differents ways.
Hey there!!
The given set is a function
( x , y ) - this is the form in which we write co-ordinates
In order to be a function , at least x values shall repeat.
Noted down all the x values
2 , -1, 4 , -2
None of the values is repeating.
Hence, the given data is a function
Hope my answer helps!
<span>The total distance traveled and the time spent driving on the trip can be represented by both a relation and a function</span>
Y=mx+b
m=slope
b=yintercept
given
y=-2x+3 and
y=-4x-1
first equation is slope -2 and yintercept 3
second is slope -4 and yintercept -1
3rd option
f(x) = ((x^2) / 3) + x, for f(6)
f(6) = ((6^2) / 3) + 6
Square 6
f(6) = (36 / 3) + 6
Divide 36 by 3
f(6) = 12 + 6
Combine like terms
f(6) = 18
