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How would you work out the price of a trip if it is usually £24 but a man has a railcard that gives him 30% off?

In order to work out 30% off something you can use two methods. I'll explain both. Method one: Work out 30% of the total price. This would be the same as working out 10% (dividing by 10 = £2.40) and multiply...
CT
Answered by Chloe T. • Maths tutor
3572 Views

How do I show (2n)! >= 2^n((n!)^2) for every n>=0 by induction?

First we need to be clear how to construct a proof by induction. It has two main parts, the base case and the inductive step . Let P(n) denote that the statement is true for a fixed n. Our base case is to ch...
CF
Answered by Connor F. • Maths tutor
8420 Views

integrate cos(2x) + sin(3x)

the differential of cos(x) is -sin(x). the differential of cos(2x) is -2sin(2x). you can think of it as differentiating what is in the bracket and putting that in front of the -sin(2x). when differentiating ...
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Answered by Ajay D. • Maths tutor
8041 Views

differentiate x^2 + 7x + 4

To differentiate you must times by the power then take one away from the power. Therefore x^2 + 7x + 4 would differentiate to become 2x + 7. The generic rule for differentiation can be written as dy/dx (x n ...
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Answered by Ajay D. • Maths tutor
4776 Views

Expand and simplify the following (x+4)(2x-3)=0

First of all you need to multiply the first value of each bracket, for example; x X 2x= 2x 2 write this answer at the start of a new line Then multiply the first value of the first bracket by the second valu...
AL
Answered by Autumn L. • Maths tutor
9166 Views