X^3 - 5x^2 + 3x - 8/x - 3
Steps
First, divide x^3 - 5x^2 + 3x - 8/x - 3: x^3 - 5x^2 + 3x - 8/x - 3 = x^2 + -2x^2 + 3x -8/x - 3
= x^2 + -2x^2 + 3x - 8/x - 3
Second, divide -2x^2 + 3x - 8/x - 3: -2x^2 + 3x - 8/x - 3 = -2x + -3x - 8/x - 3
= x^2 - 2x + -3x - 8/x - 3
Third, divide -3x - 8/x - 3: -3x - 8/x - 3 = -3 + -17/x - 3
= x^2 - 2x - 3 + -17/x - 3
Lastly, simplify
= x^2 - 2x - 3 - 17/x - 3
19. C
20. B
21. 200
22. im not sure if im right but i think p+6
23. C
24. Can't see
Answer:
Option a) Has an above average price-to-earning ratio
Step-by-step explanation:
We are given the following in the question:
The price-to-earning ratio for firms in a given industry is distributed according to normal distribution.
For a particular firm the ratio x has a standard normal variable has a value,
z = 1
Formula:
Thus, the firm has an above average price-to-earning ratio as the ratio is one standard deviation above the mean.
Option a) Has an above average price-to-earning ratio
Answer:
The answer is 5.5, 6.0 and 8.0
Answer:
E. by the SAS similarity theorem.
Step-by-step explanation:
Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)
DC/BC = 240/150 = 1.6
EC/AC = 320/200 = 1.6
This implies that the ratio of two corresponding sides of both triangles are the same.
Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.
