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Factorise fully 6xy + 3y

Step 1: recognise that the common factors of the two terms, 6xy and 3y, are: 3 and y. Step 2: take one common factor, say 3, out of the terms: 3(2xy + y). Step 3: also take the second common factor, y, outsi...
GR
Answered by George R. • Maths tutor
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Prove the property: log_a(x) + log_a(y) = log_a(xy).

The derivation of the property starts with the basic representation of logarithms as powers. Lets consider a^(log_a(xy)). Then, a^(log_a(xy)) = xy. However, x = a^(log_a(x)) and y = a^(log_a(y)). Therefore, ...
Answered by • Maths tutor
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(root18 +root2)sqaured/(root8-2). Give answer in form A(B+rootC) where A,B and C are integers

root 18 = 3root2root8 = 2root2 Numerator: (3root2+root2)squared = (4root2)squared =32Denominator: 2root2 -2 = 2(1-root2)Simplify both numerator and denominator by dividing by 2 resulting in numerator to be 1...
MS
Answered by Muhammad S. • Maths tutor
6279 Views

How do you conduct a two tailed binomial hypothesis test

Step 1: read the question, and highlight all the important informationStep 2: assign null and alternate hypothesesStep 3: determine which tail you are looking at using the expected value and the given inform...
Answered by • Maths tutor
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If f(x) = 5 – x and g(x) = 3x + 7, simplify f(2x) + g(x – 1)

There are two stages to this problem: substituting x into the original equation and then expanding out the answer and simplify it. So, with the first stage, we replace every old 'x' with the new form in the ...
EC
Answered by Emma C. • Maths tutor
12673 Views