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

As the coefficient (the number before) of x2 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...

Answered by Megan B. Maths tutor
4398 Views

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 ...

Answered by Toby S. Maths tutor
3193 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+...

Answered by Tutor122756 D. Maths tutor
2633 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

Answered by Danni M. Maths tutor
3701 Views

Billy wants to buy these tickets for a show. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total charge when paying by credit card.

4 x 15 = 602 x 10 = 2060 + 20 = 8080 + 8 (10%) = 883% of 88 =1%: 0.880.88 * 3 = 2.6488 + 2.64 = £90.64

Answered by Nighat K. Maths tutor
8162 Views

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