View the step-by-step solution to:

Solve the linear equation (x/3) - (1/3) = -4 a. {-11} b. {-13} c. {11} d. {13} Q22.

Q21. Solve the linear equation (x/3) - (1/3) = -4

    a. {-11}

    b. {-13}

    c. {11}

    d. {13}

Q22. The net income y (in millions of dollars) of Pet Products Unlimited from 1997 to 1999 is given by the equation y = 9x2 + 15x + 52, where x represents the number of years after 1997. Assume this trend continues and predict the year in which Pet Products Unlimited's net income will be $598 million.

    a. 2005

    b. 2004

    c. 2003

    d. 2006

Q23. Find the distance d(P1, P2) between the points P1 and P2.

P1 = (1, 7); P2 = (-7, -2)

    a. √17

    b. 1

    c. √145

    d. 72

Q24. Find the general form of the equation for the line with slope = -2/3 and containing the point (0, 4).

    a. 2x - 3y = 12

    b. 3x + 2y = -12

    c. 2x + 3y = 12

    d. 2x + 3y = -12

Q25. Find the center (h, k) and radius r of the circle with the given equation (x - 6)2 + (y - 2)2 = 16.

    a. (h, k) = (2, 6); r = 16

    b. (h, k) = (6, 2); r = 4

    c. (h, k) = (2, 6); r = 4

    d. (h, k) = (6, 2); r = 16

Q26. Graph the line containing the point P = (-2, -8) and having slope m = 1/2.

   

Q27. Graph the follwing equation by plotting points: 5x + 2y = 10.


Q28. If (-5, -5) is the endpoint of a line segment, and (-10, -7) is its midpoint, find the other endpoint.

    a. (5, -1)

    b. (-15, -9)

    c. (-9, -15)

    d. (-15, -3)

Q29. The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse.

15, 36, 39

    a. right triangle; 39

    b. right triangle; 15

    c. right triangle; 36

    d. not a right triangle

Q30. Find the slope and y-intercept of the line -x + 10y = 70.

    a. slope = 10; y-intercept = -70

    b. slope = -1; y-intercept = 70

    c. slope = - 1/10; y-intercept = 7

    d. slope = 1/10; y-intercept = 7

Q31. Graph the following equation by plotting points: y = 1/x.

Q32. Find an equation for the line that is perpendicular to the line 3x - y = 6 and contains the point (0, 2).

    a. y = x/3 + 2

    b. y = -x/3 + 6

    c. y = -x/3 + 2

    d. y = 5/3

Q33. The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse.

8, 16, 20

    a. right triangle; 8

    b. right triangle; 16

    c. right triangle; 20

    d. not a right triangle

Q34. Graph the circle with radius r = 2 and center (h, k) = (-4, -1).

  


Q35. Find the slope-intercept form of the equation of the line with the properties of a horizontal line containing the point (-2, 7).

    a. x = 7

    b. y = 7

    c. x = -2

    d. y = -2

Q36. List the intercepts for the graph of the equation y = 4x.

    a. (0, 0)

    b. (0, 4)

    c. (4, 4)

    d. (4, 0)

Q37. Graph the follwing equation by plotting points: y = 3x + 6.

   

Q38. Write the standard form of the equation of the circle with radius r = 2 and center (h, k) = (0, 0).

    a. x2 + y2 = 4

    b. x2 + y2 = 2

    c. (x - 2)2 + (y - 2)2 = 2

    d. (x - 2)2 + (y - 2)2 = 4

Q39. Find an equation for the line in general form Containing the points (-5, -7) and (0, 4).

    a. 11x - 5y = -20

    b. -2x + 4y = -16

    c. -11x - 5y = -20

    d. 2x - 4y = -16

Q40. List the intercepts and type(s) of symmetry, if any for y2 = -x + 9.

    a. intercepts: (-9, 0), (0, 3), (0, -3); symmetric with respect to x-axis

    b. intercepts: (0, -9), (3, 0), (-3, 0); symmetric with respect to y-axis

    c. intercepts: (9, 0), (0, 3), (0, -3); symmetric with respect to x-axis

    d. intercepts: (0, 9), (3, 0), (-3, 0); symmetric with respect to y-axis

Top Answer

1) x/3 - 1/3 = -4 x/3 = 1/3 - 4 x/3 = -11/3 x = -11 2) 9x^2 + 15x + 52 = 598 3x^2 + 5x - 182 = 0 x = 7 Year = 1997+7 = 2004.... View the full answer

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online