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Step 1

Collect x terms on one side (here we subtract 3x from both sides to give 2x on the left, and 0x, on the right)

Step 2

Collect the non x terms ...

A baby can either be a boy or a girl, so there are only two possible outcomes. This means that the probability of the next baby being born a boy is 1 out of the 2 outcomes. This also can be written as 0.5...

using the method, what two numbers multiply to create -1 and add to make 0 -1 must be 1 x -1 therefore answer is (x+1)(x-1) - is it clear how the single x value is cancelled out? x^2 +x -1 -x = x^2 -1

AB² = (1 - 7)² + (6 + 2)² = 36 + 64 = 100 If AB² = 100 then AB = 10

3x²+11x-4=0 #Factorise to find where the curve crosses the x axis (3x-1)(x+4)=0 #Each bracket equals 0 x=1/3, -4  #Integrate the curve between these two points to find the area enclosed in the ...