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Write x^2 + 6x - 10 in the form ((x+a)^2)+b?

To find the value of a divide the coeffecient of x. Here this would be 6/2 which = 3. If we were to expand (x + 3)^2 + b this would give us:x^2 + 3x +3x + 3^2 +b which simplifies to x^2 + 6x + 3^2 + b. If...

Answered by Gunalini G. Maths tutor
12712 Views

How do I differentiate a pair of parametric equations?

I would guide the student through the process, as this will be far more beneficial to their learning rather than just telling them the answer. So first I'd ask what would happen if they d...

Answered by Benjamin E. Maths tutor
2643 Views

Prove algebraically that n^3 +3n -1 is odd for all positive integers n

There are 2 possible cases.

First when n is even, then let n = 2k where k is a positive integer.
Substituting n = 2k gives us:
(2k)3 + 3(2k) -1
= 8k3 + 6k ...

Answered by Maths tutor
20771 Views

A restaurant can be hired out for children's parties, and the cost is shown by the formula "Cost = (£13.50 x number of children) + £23". What is the cost for 8 children?

Cost = (13.50 x number of children) + 23.Cost = (13.50 x 8) + 23.BIDMAS. Brackets first.Cost = 108 + 23 = £131.

Answered by Thomas D. Maths tutor
2052 Views

Prove algebraically that n^3+3n^2+2n+1 is odd for all integers n

To show this we should consider when n is odd and when n is even,If n is odd then we can find an m such that n=2m+1. Substituting n=2m+1 and expanding gives 8m^3+12m^2+6m+1+12m^2+12m+3+4m+2+1=8m^3+24m^2+2...

Answered by Alistair P. Maths tutor
4214 Views

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