bconline.broward.edu Function Notation: Evaluating at an Expression I Purplemath

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bconline.broward.edu Function Notation: Evaluating at an Expression I Purplemath el gu BROWARD MAC1105 COLL ALGEBRA ONLINE 588629 Course Home Content Grades CommunicationAssessmentsTools Resour Discussions List View Topic Discussion 2B Must post first. Subscribe Explain what is meant by the terms Consistent Dependent, Consistent Independent ad Inconsistent as applied to systems of linear equations. Give an example of a system of one of these types and explain why it is of that type. Rubrics Discussions-2pt Start a New Thread Filter by: All Threads You must start a thread before you can read and reply to other threads

Explanation / Answer

Question 1.

Consistent Dependent: A system of linear equations are said to be consistent dependent, when the system has infinite many solutions. Since solution exists, they are consistent and since system has infinite many solution therefore variables are dependent.

Consistent Independent: A system of linear equations are said to be consistent independent, when the system has uniques solution. That is Solution exists implies they are consistent and Uniques solution implies no relation between variables.

Inconsistent: A system of linear equations are said to be inconsistent , when the system has no solution. That is Solution does not exists implies they are inconsistent.

Example:

The system of linear equation given below are consistent independent

x+y+z=3, x+2y+3z=4, x+4y+9z=6.

Because these system of equations have unique solution that is x=2, y=1, z=0.

Solution exist, but variables are not related to each other. Therefore, this system of linear equations are consistent independent.

Question 2:

We can draw histogram when frequency numerical data is given For example we can draw histogrm for students 42 having marks in statistics test out of 50 in various ranges.

Marks Frequency

0-10 5

10-20 12

20-30 18

30-40 10

40-50 7

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