linear relation between two variables


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Linear Inequations
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables). ax + by 0, ax + by 0, ax + by c, ax + by c where a, b not equals to ..
Linear Inequations
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expression (or expre..
Linear Inequations
A statement is an assertion or a sentence that is either true or false, but not both. A variable is a symbol that may represent any member of a specified set called replacement set or domain of that variable. A mathematical expression is a symbolic repr..
Cramer's rule for the solution of a system of equations in 2 variables
We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solutio..
Discrete variable
Consider an example: The number of pupils in a class can be 30, 34, 40. But it cannot be 30.2, 35.1, because number of pupils can be expressed only as a whole number. Such numerical as number of children, trees, sheep are called discrete variables..
Variable Valency
Normally metals donate electrons from their valence shell so as to form positively charged ions such that the charge on the ion is equal to its electropositive valency. However, in transition elements, an atom loses electrons from the shell next to the valence shell (penultimate shell). In such a s..
Variable Speed
Example: A rubber ball dropped from a certain height (h 1 ) on reaching the ground bounces up to a height less than the initial one (h 2 ). It continues to bounce but the height to which it rises keeps decreasing (h 3 , h 4 ). The distance covered by the ball in unit time decreases. The ..
Linear Programming Problems (LPP)
Linear Programming Problems (LPP) - The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 ..
Consistency of a system of linear equation
The above discussion leads to find the solution of a system of linear equations in two variables by using Cramer's rule. Cramer's rule suggests the use of determinants to solve a system of linear equations. Let us denote a 1 b 2 - a 2 b 1 ..
Expression for Linear Velocity
formula to find linear velocity  Suppose an athlete takes t seconds to go once around the circular path of radius r, then the velocity v is given by the relation ..
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