There are 4 teams in total and each team has 7 members. One of the team will be the host team.
Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.
So total number of possible 9 member tournament committees will be equal to:
This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:
Therefore, there are 2917215 possible 9 member tournament committees
Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4
Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8
Answer:
6. negative
7. positive
8. positive
9. positive
10. positive
Step-by-step explanation:
X^2 and 5x both have x in common to factor out. To add or subtract them, 5x^2 is the least common denominator .
Hello.
In 10 years, his age will be
The sum of his current age and 10 equals his age in 10 years.
2 years ago his age was
The difference of his current age and 2 equals his age 2 years ago.
7 years ago his age was
The difference of his current age and 7 equals his age 7 years ago.
Therefore, his age after 10 years will be , his age 2 years ago was , and his age 7 years ago was
I hope it helps.
Have a nice day.
