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How do I solve the simultaneous equations 5x - 3y = -1 and 3x + y = 5?

One method of solving these is by elimination . We can try to subtract a multiple of one equation from the other to cancel the x's (or y's). 5x - 3y = -1 (A) 3x + y = 5 (B) In this case, we can add 3*(equati...
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Answered by Alex K. • Maths tutor
13766 Views

Explain the different types of wave.

There are two different types of wave: longitudinal and transverse . When you hear the word "wave" you are probably thinking of a transverse wave. Imagine you are floating in the sea. The waves of ...
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Answered by Harry C. • Physics tutor
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Find the maximum or minimum value of the function: y = 6x^2 + 4x + 2

The easiest way to solve this problem is by using differentiation . dy/dx = (6x^2 + 4x + 2)/dx dy/dx = 6 2 x^1 + 4 1 x^0 + 0 dy/dx = 12x + 4 When you set the derivative equal to zero you find a point on the ...
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Answered by Harry C. • Maths tutor
11659 Views

What's the difference between direct and indirect taxation

Direct taxes are paid to the government straight from the individual or group taxpayer. E.g income tax (comes straight from the individuals' income) or corporation tax (comes straight from the firm). Indirec...
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Answered by Colm M. • Economics tutor
17692 Views

What's the difference between a histogram and a bar chart?

A bar-chart is a graph where the height of the bar measures the frequency of a particular category which that bar represents. For a histogram, however, the height is the frequency density. This means that th...
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Answered by Colm M. • Maths tutor
13090 Views