Search over 10,000 free study notes

In this algebraic problem, we are faced with two unknowns (x's) on both sides of the equation. Remember that what we do to one side, we must also do to the other side. So to tackle this, we will first foc...

We are told that the probability that a randomly chosen teacher is female is 3/5, or 60%.

This means that the overall proportion of female teachers at this school is also 3/5, or 60%.

In tur...

Expand the brackets: 4m - 8 = 5tm + 3t

Collect all m variables to one side: 4m - 5tm = 3t + 8

Take a factor of m out: m(4 - 5t) = 3t + 8

Divide both sides by (4 - 5t): m = (3t + 8) / ...

A key component of using Surds is knowing how to multiply them. As such √3 x √3 = 3, √4 x √4 = 4 and so on. The √ sign means the root of this number.

On to the Question given we are asked to ration...

Apply the quadratic formula with a=1, b=-1, c=-12. This gives x=(1 plus or minus 7)/2 or x=4,-3.