Answer:
Total number of games = 66
Step-by-step explanation:
Given:
Total number of teams = 12
Each team plays each other team exactly once.
Find:
Total number of games.
Computation:
We can say that, it is a combination problem
So,
Total number = 12
1 match = 2 team
Total number of games = ¹²C₂
Total number of games = 12! / (2! × 10!)
Total number of games = 66
Answer:
x ∈ (-∞, 3) U (6, ∞).
Step-by-step explanation:
We use factorization and optain
Then, we have two critical points: x=3 and x=6. Now:
(i) for x < 3 we have that x-6 <0 and x-3 <0. Then (x-6)(x-3) > 0.
(ii) for 3 < x < 6 we have that x -6 <0 and x -3 > 0. Then (x-6)(x-3) < 0.
(iii) for x > 6 we have that x-6 >0 and x-3 > 0. Then, (x-6)(x-3) > 0.
conditions (i) and (iii) satisfy the inequatliy, then the solution is x ∈ (-∞, 3) U (6, ∞).
The graph is in the picture below.
Answer:
6
Step-by-step explanation:
10-4=6
Answer:
B
Step-by-step explanation:
10 + 9 = 19
Answer:
The equation of line in the form of Ax + By = C is:
Step-by-step explanation:
We need to find the equation of line, having slope m = -4 and passes through point (-2,-9)
First we need to find slope and y-intercept of the line.
The slope is given i.e. m = -4
Now, we need to find the y-intercept
Using the point (-2,-9) and slope m = -4, y-intercept can be found using:
Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:
Now writing in form of Ax + By = C
So, the equation of line in the form of Ax + By = C is: .