Solve and Prove the Following Statements

FratBro23
Category:
Mathematics
Price: $5 USD

Question description

if you think the statement is true, then prove it. On the other hand, if you think the statement is false, then give an example that disproves the statement. For example, the statement "If and are real numbers, then a - b = b - a" is false and an example that disproves it may be constructed by taking a = 3 and b = 5. For these values of a and b, we find a - b = 3 - 5 = -2 but a = 5 - 3 = 2 and this shows that b ≠ b - a. Such an example is called a ≠counterexample.

  1. True or false. The slope of a horizontal line is undefined.
  2. True or false. Suppose the slope of a straight line L is -3/4 and P is a given point on L. If Q is a point on L lying 2 units to the right of P, then Q is situated 3/2 units below P.
  3. True or false. The y-intercept of the straight line with equation Ax By = 0 is -C/(B ≠ 0).
  4. True or false. If a line L1 has equation mx b, where and are constants with m ≠0,then an equation of a line L2 perpendicular to L1 has the form , where C is a constant.
  5. True or false. Suppose an asset is being depreciated linearly. Then the negative of the slope of the depreciation line gives the rate of depreciation of the asset.
  6. True or false. If R and C are linear revenue and cost functions, respectively, and (x0p0) is the breakeven point, then P (x) > P (x0) if x > x0, where P is the profit function.

7.  True or false. The least-squares line must pass through at least one of the data points.


Tutor Answer

(Top Tutor) Daniel C.
(997)
School: New York University
PREMIUM TUTOR
Studypool has helped 1,244,100 students
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1823 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors