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Solve the following pair of simultaneous equations; 10x+4y=15, 2x+y=7

So, to solve these equations, you must choose the variable you want to work with, in this case let's go with y. Make sure that you write out every step of your working so it is easy to follow and minimise...

JH
Answered by Jung H. Maths tutor
2810 Views

Express as a simple logarithm 2ln6 - ln3 .

We start with: 2ln6 - ln3 ... First, we rewrite this expression as: ln6 + ln6 - ln3 ... Next, we rewrite this as: ln(23) + ln(23) - ln3 ... Using the log rule logaxy = logax...

Answered by Maths tutor
4232 Views

There are 13 apples in a crate of apples. Mark orders six boxes of apples, how many apples did he order?

Mark ordered 78 apples, this is because there are 13 in each of the six boxes he ordered. On your calculator 6x13=78, therefore he ordered 78 apples.

RJ
Answered by Ruth J. Maths tutor
2626 Views

Write √5 ( √8 + √18 ) in the form a√10, where a is an integer, without using a calculator.

We start by expanding the brackets : (√5 x √8) + (√5 x √18). A common mistake here is to attempt to add √8 and √18 together. We can't do this because of algebra rules. BIDMAS states that multiplicatio...

AJ
Answered by Adrienn J. Maths tutor
9294 Views

Given f(x)=2x^3 - 2x^2 + 8x, find f'(x) and f"(x).

The first step in scoring full marks on this typically 4 mark question is to recognise what it's asking you to do. We use the process of differentiation to solve it. f(x)=2x^3 - 2x^2 + 8xf'(x) = 6x^2 - 4x...

Answered by Maths tutor
3317 Views

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