Take the two numbers as X and Y. The mean of the two numbers would be (X+Y)/2 which will be equal to 24. So : (X+Y)/2 = 24 X+Y=48 - This is equation no. 1 The difference between the numbers is X-Y which is equal to 8: X-Y=8 - This is equation no. 2 Adding the two simultaneous equations above would give: X+Y + X-Y=48 + 8 2X=56 So: X=28 Substitute this in any one of the above equations: Equation no. 1 - 28 + Y=48 Y=20 So the two numbers are 28 and 20.
You cannot work a simultaneous equation. You require a system of equations. How you solve them depends on their nature: two or more linear equations are relatively easy to solve by eliminating variables - one at a time and then substituting these values in the earlier equations. For systems of equations containing non-linear equations it is simpler to substitute for variable expression for one of the variables at the start and working towards the other variable(s).
They are used for working out equations where the numbers you are working with are not physically possible, but we just imagine they are, such as the square root of a negative number In engineering, especially Electrical Engineering, using complex numbers to represent signals (rather than sines and/or cosines) make comparing and working with signals easier.
There are many different standard forms: standard forms of numbers, of linear equations, of circles, etc. The standard form of numbers simplifies working with very large and very small numbers.
The difference is that working hypothesis is that your still working on it but the hypothesis that your not working on it.
A matrix is a field of numbers with rows and columns. Matrices can represent many different things and have numerous applications. For example, they can be used for solving systems of linear equations or working with linear transformations; in multiple regression analyses, for working with vectors.
A calculator is used to calculate equations in a quick and easy manner without the difficulty and mistakes caused when working equations out with pen and paper.
Equations are an algebraic way of writing down a maths problem in shorthand. Two or more simultaneous equations may be used to describe the same problem. Matrices can be used to solve these simultaneous linear equations (that is equations with two or more unknown variables) and obtain the answer to those unknowns which satisfies both. Equations are therefore generally solved to get values of unknown variables....... Variable values are calculated (or assumed) to know all working or constant parameters of a system... e.g. for a chemical reaction; generally pressure, temperature, concentration of reactant etc., may be combinations of unknown variables. i.e. If these parameters are varied resultant yield get affected......... We never know all properties at start, we first found relations between variables by doing practicals & form equations......... Then these equations can be solved by many methods....... Out of these many methods matrices is one...... So which ever system can be represented by equations, matrices have application there........ e.g. engineering problems, weather forecasting, aerospace design, financial calculations, chemical processes, construction calculations etc........... And.....they were used by Albert Einstein to come up with his theories for General and Special Relativity.
Spooling is an acronym for Simultaneous Peripheral Operation On-Line and involves placement of data in temporary working area for another program to process. Buffering on the hand, is preloading data into a reserved area of memory which is called the buffer.
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to get their luck working with lucky numbers
difference between temporary and permanent working capital needs
Here's a handy gadget that should be in your toolbox if you're working with algebra: The difference of the squares of 2 numbers = (Sum of the numbers) times (difference of the numbers) 36y2 is the square of 6y, and 25 is the square of 5. So ( 36y2 - 25 ) = ( 6y + 5 ) ( 6y - 5 )