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The gradient of a line in the form y = ax + b, where a and b are some numbers, is the number a.

So we need to get the equation 3x + 5y = 7 into the above...

A question that haunts every IB HL Math student day and night. Most students beleive that if they solve all past exams and practice book problems they should easily make a seven. That is absolutely not...

In order to find the lowest value for X we first need to find the lowest possible value for a and b.

Let us start off with a:

If a is the lowest possible cube number we can ...

We call 3! 'three factorial' and 5! 'five factorial'.

3!=3x2x1

5!=5x4x3x2x1

So our fraction becomes:

(3x2x1) / (5x4x3x2x1) = 6/120

...

We need to solve this so we have a positive x term on one side.

First we can subtract 3 from both sides of the inequality to get:

5x<3x-9

Next we can subtra...