ALLIED MAT110 MODULE 6 HOMEWORK ASSIGNMENT

Welcome to the Module 6 Homework Assignment for MAT 110: Beginning Algebra.This section prepares you to complete this assignment successfully. Please follow these instructions to complete and submit this assignment.You will create a document in either a .doc or .rtf format to record and save your work. If you have never created documents in an .rtf format, please visit the Academic Resource Center and click on Tutorials. You will then see a list of tutorials on the following page. Click on RTF Tutorial.Read the instructions carefully and review your work before you submit your assignment.Include a title page with this assignment. Your title page should follow standard APA formatting. Please view the .allied.edu/Pages/ViewPage.aspx?GroupID=189″>Title Page Example.When you are ready to submit the assignment, click the Start button at the bottom of the page to access the submission page and follow the instructions.Running head: [INSERT
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Allied
American University

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Directions:
Please show all of your work for each problem.
If applicable, you may find Microsoft Word’s equation editor helpful in
creating mathematical expressions in Word.
There is a tutorial on using this equation editor in Module 1 Lecture
Notes. You also have the option of hand
writing your work and scanning it.

1. Find the y-intercept of the line
represented by the following equation. –2x
+ 2y = 16

2. Write the equation of the line with slope
–4 and y-intercept (0, –9).

3. Write the equation of the line with slope .png”> and y-intercept
(0, 3).

4. One day, the temperature at 9:00 A.M. was
49°F, and by 3:00 P.M. the temperature was 61°F. What was the hourly rate of temperature
change?

5. Determine which two equations represent
parallel lines.
(a) y = –7x + 3 (b) y = 7x + 3 (c) y = .png”>x + 3 (d) y = –7x + 6

6. Determine which two equations represent
perpendicular lines.
(a) y = .png”>x – 5 (b) y = 5x – .png”> (c) y = .png”>x + .png”> (d) y = .png”>x – .png”>

7. Are the following lines parallel,
perpendicular, or neither?
L1
through (–4, –7) and (1, 3)
L2
through (2, 6) and (4, 10)

8. Are the following lines parallel,
perpendicular, or neither?
L1 with
equation x –5y = 25
L2 with
equation 5x + y = 5

9. Find the slope of any line perpendicular
to the line through points (8, 4) and (9, 7).

10. A line passing through (6, –10) and (–1, y)
is perpendicular to a line with slope .png”>. Find the value of y.

11. Use the concept of slope to determine whether
the given figure is a right triangle (i.e., does the triangle contain a right
angle?).
.jpg”>

12. Write the equation of the line that passes
through point (0, 9) with a slope of 6.

13. Write the equation of the line passing
through (1, –8) and (1, 3). Write your
results in slope-intercept form, if possible.

14. Write the equation of the line with x-intercept
(–9, 0) and undefined slope. Write your
results in slope-intercept form, if possible.

15. A copier was purchased by a company for
$7,500. After 5 years it is estimated
that the value of the copier will be $4,500.
If the value in dollars V and the time the copier has been in use
t are related by a linear equation, find the equation that relates V
and t.

16. You have at least $60 in change in your
piggy bank, consisting of quarters and pennies.
Write an inequality that shows the different number of coins in your
piggy bank.

17. If f(x) = –x3
– x2 + 2x + 6, find f(–2), f(0), and f(3)

18. Rewrite the equation y = 2x +
2 as a function of x.

19. The inventor of a new product believes that
the cost of producing the product is given by the function: C(x)
= 2.75x + 2,000. How much does it
cost to produce 6,000 units of his invention?

20. Given f(x) = –5x + 3,
find f(a + 1).

21. Write the equation of a line that passes
through (0, 4) and has a slope of -1/5.

22. Write the equation of a horizontal line with
a y-intercept of 7.

23. What is the slope and the y-intercept of
y=3x+1?

24. What is the slope and y-intercept of y=-3?

25. What is the slope and y-intercept of
6x+y=10?

26. Determine whether the lines are parallel,
perpendicular, or neither.
Y=-3x+1
Y=-3x-8

27. Determine whether the lines are parallel, perpendicular,
or neither.
2x-y=-10
2x+4y=2

28. Determine whether the lines are parallel,
perpendicular, or neither.
Line 1 passes
through (0, 3) and (2, 5)
Line 2 passes
through (5, -4) and (-3, 3)

29. Write the equation of a line that passes
through (4, 0) and (-4, -5). Write your
answer in slope-intercept form.

30. Write the equation of a line that passes
through (-1, 2) and (3, 5). Write your
answer in slope-intercept form.

31. Write the equation of a line that passes
through (1, -45) with a slope of -3.
Write your answer in slope-intercept form.

32. Write the equation of a line that passes
through (-2, 5) with a slope of -4.
Write your answer in slope-intercept form.

33. Write the equation of a line that passes
through (-2, 5) and (-6, 13). Write your
answer in slope-intercept form.

34. f(x)=1/2x
Find f(0)

35. f(x) = 4x^2+3x Find f(-2)

36. f(x)=3x+3
Find f(-1)

37. f(x)=5x^2-7
Find f(0)