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In order to find the gradient of the curve at (1,1), we must first differentiate the equation of the curve. To do this, multiply the coefficient of x by the power of that same x. Then subtract one from th...

Interest rates, which represent the cost of borrowing money and the returns from saving it, are used by central banks to control the level of inflation. If the central bank wants to increase inflation, it...

No it is not parallel, here is the reasoning.

First we work out the gradient of the line AB. We do this by using the gradient formula (Y2-Y1)/(X2-X1). Our points are A=(1,3) rewritten as (X1,Y1) an...

First, expand out the brackets. Initially, this will give you 20 - 4√3 + 5√12 - √36.

√36 is the equivalent of 6, now giving up 20 - 4√3 + 5√12 - 6. We can combine the 20 and the 6 to give us 14 - 4...

You need to find two numbers that multiply to make 6 and add to make 5. Usually it's easier to find a correct multiplication and check that it satisfies the addition.
Here the options are 6&1 or...