# Math Homework Help

Please see attached file for the complete details of the problems.

WEEK 3 HOMEWORK

DQ1

1. Why do you factor a quadratic equation before you solve? Give an example.

2. When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression? Give an example.

3. What square root property is essential to solve any radical equation involving square root? Give an example.

4. What are extraneous solutions of an equation? Why do they sometimes occur in the process of solving rational or radical equations? Provide examples to support your answer. Give an example.

DQ2

5. What are the different types of equations you have learned to solve? Give an example.

6. Why are there usually two solutions in quadratic equations? Give an example.

7. Choose an example of a rational equation from the textbook and present a step-by-step solution.

8. Under what situation would one or more solutions of a rational equation be unacceptable? Give an example.

EXERCISE

6.2 Perform the indicated operation

# 24

6.2

# 76 Perform the indicated operation

6.5 Simplify each complex fraction

# 52

TEAM HOMEWORK

6.5 #64. Commuting students. At a well-known university, of the

undergraduate students commute, and of the graduate

students commute. One-tenth of the undergraduate students

drive more than 40 miles daily, and of the graduate

students drive more than 40 miles daily. If there are twice

as many undergraduate students as there are graduate

students, then what fraction of the commuters drive more than 40 miles daily?

Note: On the next question,just answer #68)

68. Telephoto lens. Use the formula from Exercise 67 to find

the image distance i for an object that is 2,000,000 mm from a 250-mm telephoto lense.

(67. Lens equation. The focal length f for a camera lens is

related to the object distance o and the image distance i by

the formula

NEXT QUESTION

62. Bear population. To estimate the size of the bear

population on the Keweenaw Peninsula, conservationists

captured, tagged, and released 50 bears. One year later, a

random sample of 100 bears included only 2 tagged bears.

What is the conservationist's estimate of the size of the bear population?

50. The golden ratio. The ancient Greeks thought that the

most pleasing shape for a rectangle was one for which the

ratio of the length to the width was approximately 8 to 5,

the golden ratio. If the length of a rectangular painting is

2 ft longer than its width, then for what dimensions would

the length and width have the golden ratio?

30. Rise and run. If the rise is

and the run is 5, then what is

the ratio of the rise to the run?

QUIZ

3. Missing proceeds. Ruth and Betty sell apples at a farmers

market. Ruth's apples sell at 2 for $1 while Betty's slightly

smaller apples sell at 3 for $1. When Betty leaves to pick

up her kids they each have 30 apples and Ruth takes

charge of both businesses. To simplify things, Ruth puts all

60 of the apples together and sells them at 5 for $2. When

Betty returns, all of the apples have been sold, but they

begin arguing over how to divide up the proceeds. What

is the problem? Explain what went wrong.

#### Solution Summary

This posting contains the solution to every problem in the posting.