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How do you work out the mean of a set of numbers?

You find the mean of a set of data by adding up all of the values then dividing the number you get by the total numbers in the data. An example of this is: 'Find the mean of '6, 8, 9, 17' -First you add up a...
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Answered by Erin M. • Maths tutor
3941 Views

Complete the square for the quadratic expression x^2 − 8x + 7

As the coefficient (the number before) of x 2 is 1 we can start the expression with (x...The coefficient of x is -8 so we half this to complete the brackets and form (x-4) 2 ...Next the square of -4 is subtr...
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Answered by Megan B. • Maths tutor
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f(x) = (x-5)/(x^2+5x+4), express this in partial fractions and hence find the integral of f(x) dx between x=0 and x=2, giving the answer as a single simplified logarithm.

f(x) = (x - 5) / (x + 4)(x + 1) let f(x) = A / (x + 4) + B / (x + 1) so (x - 5) / (x + 4)(x + 1) = A / (x + 4) + B / (x + 1) then multiplying by (x+4)(x+1), we get x - 5 = A(x + 1) + B(x + 4) x - 5 = Ax + A ...
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Answered by Toby S. • Maths tutor
4209 Views

How do I expand single brackets?

tt the brafckTo expand any brackets, simple or double the golden rule to remember is you must multiply everything inside the bracket by everything outside the bracket. Let's run through some examples:2(x+1)=...
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Answered by Tutor122756 D. • Maths tutor
3578 Views

Is the function f(x)=x^3+24x+3 an increasing or decreasing function?

f(x)=x^3 +24x+3 f'(x)=3x2+24 Since x^2>0 for all real x 3x^2+24>0 So f(x) is an increasing function
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Answered by Danni M. • Maths tutor
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