Step-by-step explanation:
Decimals can always be put over 1, as they're part of a whole number.

<u>Multiply both numerator and denominator by 100:</u>
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Answer:
Step-by-step explanation:
5% of 3,000 is 150
Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form

. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.

In the denominator we have a difference of squares:

Now we can rewrite our function:

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at

and
We can conclude that the graphic of our rational function is:
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.