1) A soccer tournament has 4 teams, A, B, C and D. Each team will play the other 3 teams once. In each game the winning team earns 3 points, losing team 0 points and ties earn 1 point to each team. After these games are completed, the two teams with the most points will play in the championship. If teams earn the same number of points then the tie-breaker is whichever team scored more goals. Team C loses their first two games to A and B. Are they automatically eliminated or is there still a chance they could advance? Explain how they could still advance or why they are already eliminated.

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

the answer for your question is

step-by-step explanation:

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function