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Allied MAT110 module 6 assignment

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Question;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 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 = x + 3 (d) y = ?7x + 6;6. Determine which two equations represent;perpendicular lines.;(a) y = x ? 5 (b) y = 5x ? (c) y = x + (d) y = x ?;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. 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?).;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)

 

Paper#60695 | Written in 18-Jul-2015

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