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To work out which bottle is best value for money you have to work out how much each bottle costs per pint. To do this divide the cost of each bottle by the number of pints it contains. e.g 1.18/4=0.295 1....

First expand out the brackets: 5x-15 = 4y -3xy Then re-arrange to bring all the x terms to one side: 5x+3xy = 4y +15 Now factorise: x(5+3y) = 4y + 15 Now we have isolated the x term, we can divide both si...

we have dy/dx = -x/y , so we treat the differentials as fractions and write y dy = -x dx. Now integrating the left side with respect to y and the right side with respect to x, we have y²/2 = -x...

First you need to understand what an index (or power) is. It’s just a compact way of writing a number multiplied by itself a number of times. For example:

 3^4...

When you differentiate a function which has only one parameter, like f(x), you are finding a new function, f'(x), which gives the gradient of your original function at every point. You'll probably remembe...