9x²-0x-4
=9x²-4
=(3x-2)(3x+2) is the factor form of 9x²-0x-4
Solve for x:
3x-2=0
Add 2 to each side
3x-2+2=0+2
3x=2
Divided 3 to each side
3x/3=2/3
x=2/3
Or
3x+2=0
Subtract 2 to each side
3x+2-2=0-2
3x=-2
Divided 3 to each side
3x/3=-2/3
x=-2/3. Hope it help!
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.
