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Simplify fully (3x^2-8x-3)/(2x^2-6x)

While this can appear intimidating at first, the key to simplifying this expression is through factorising and identifying common factors. Let's start off by factorising the denominator as this is simpler. H...
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Answered by Rishi P. • Maths tutor
3169 Views

If f(x) = 1/(6x^2), where x not equal to 0, find the rate of change when x=4.

f(x) can be rearranged to be: f(x) = 1/6 x -2 This is then differentiated to be: f'(x) = -1/3 x -3 as the expression is multiplied by the original power (-2) and then the power is reduced by 1 (to -3) f'(x) ...
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Answered by Thomas R. • Maths tutor
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Simplify : 4(x+5) / x^2+2x-15

Firstly, remember to factorise! x^2+2x-15 = (x+5)(x-3) ∴ the numerator and denominator now both share a common term "(x+5)", so they can cancel one another out, leaving the answer as : 4/(x-3)
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Answered by Sohum P. • Maths tutor
6269 Views

Work out: 0.7 + 3/5

Show 3/5 as a decimal: 0.6 0.7 + 0.6 = 1.3 OR Show 0.7 as a fraction: 7/10 Find a common denominator: 3/5 = 6/107/10 + 6/10 = 13/10 or 1 and 3/10
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Answered by Edward B. • Maths tutor
4928 Views

Solve the following simultaneous equations: 2x + 2y = 14; 4x - 2y = 10

By Elimination: We can add the equations together because +2y and -2y will cancel out: 2x + 4x = 14 + 10 This gives 6x = 24, so x = 4 We can put x back into one of the simultaneous equations: 2(4) + 2y = 14 ...
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Answered by Edward B. • Maths tutor
5184 Views