linear equations in one variable

The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number line is called y-axi..

Which of the following is a linear inequality with two variables? => 2 x + 8 y ≥ 9 or 8 x + 9 y = 0 or 10 x + 7 ≤ 2 or None of the above..

Identify the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system. b - a 3 = 8 [Equation 1] 12 a - 15 b = 0 [Equation 2] => Equation 1 and Equation..

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 (pe..

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..

Angular velocity - Suppose a particle P is moving in a circle as shown below. Let O be the centre and OX be the X-axis. The position of the particle may be described by the angle q . Let the particle move to the position q + d q in a time dt. Assume that the particle keeps changing its position. Th..

The graphical method is applicable to solve the LPP involving two decision variables x 1 , and x 2 , we usually take these decision variables as x, y instead of x 1 , x 2 . To solve an LPP , the graphical method includes two major steps. a) The de..

There is a linear relationship between the dependent variable and the independent variables. This is called the ________ assumption. The independent variables are not correlated. This is called the _______ assumption. => nonmulticolinearity, linearity..

Random Variable and Probability Distribution - If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No. of heads (x) : 2 ..

If is often very important to allocate a numerical value to an outcome of a random experiment. For example consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome : HH HT TH TT No. of heads (x) : 2 1 1 0 x is called a random variabl..