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Our first step here is to differentiate the equation of the graph. To do this we will differentiate each of the three parts in the equation, as follows: To differentiate 3x^2, we first multpily the 3 in f...

First of all, identify how many digits are recurring in the decimal, in this case it's two: 0.13636...Let x = 0.1363636...Since there are two digits recurring we use 100x = 13.6363...

Assuming that every teacher at the school is either male or female, we can work out that the probability that the teacher chosen at random is male is 2/5, because 1 - 3/5 = 2/5, and therefore we know that...

Begin by rearranging equation 2 so that it is in the form y = ...
Substitute this into equation 1
Expand the brackets and simplify the equation so that it is in the form Ax^2 + Bx + C = 0
F...

Using the quadratic formula with a calculator a=1 b=1 c=-90 answers are n=-10 and n=9Factorising (n-9)(n+10)=0 answers are n=-10 and n=9