9514 1404 393
Answer:
B. 1/((x -1)(x -2))
Step-by-step explanation:
The vertical asymptotes at x=1 and x=2 tell you the denominator will have factors such that these values make it zero: (x -1)(x -2). That is sufficient to identify choice B as the correct answer.
Answer:
D. 7.8 miles.
Step-by-step explanation:
So, to solve this, you need to use the Pythagorean theorem to find the distance from the baseball field to his home. You know two of the sides of the triangle formed, 6 and 5. The Pythagorean theorem is a² + b² = c². In this case, it would be 6² + 5² = c². If you solve this, you would find that c is 7.81024967591. Just round it to the nearest tenth like instructed. This would get you 7.8 as the answer.
Extra work just in case:
6² + 5² = c²
36 + 25 = c²
61 = c²
=
7.8 ≈ c
Visual just in case:
Answer:
30% probability that the ball taken from B is red.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Red ball from urn A:
3/6 = 1/2 probability of getting a red ball from urn A.
Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.
Blue ball from urn A:
3/6 = 1/2 probability of getting a blue ball from urn A.
Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.
Total:
3/10 = 0.3 = 30%.
30% probability that the ball taken from B is red.
