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Dipen and Nisha are planning a wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct?

Prices are: £40 per guest. Total cost reduced by 5% with over 60 guests. First, we work out the cost of Nisha's suggestion. £40 x 70 guests = 2800 To find 5% of this, we can divide by 10 to get 10% (280), an...
LM
Answered by Lily M. Maths tutor
7773 Views

How do I solve a quadratic equation?

The best way to solve a quadratic function is to put brackets into the equation. Start with an example Find x when y=0 for the function y=x * 2 + 5 x + 6 As y=0 make the whole equation= 0: x * 2 + 5 x + 6=0 ...
RB
Answered by Rosiered B. Maths tutor
4659 Views

Differentiate y = (3x − 2)^4

We recognise that this is in the form of a function within a function, i.e u= 3x - 2 is within the u^4 function, therefore here we will use the chan rule to differentiate the equation. The chain rule states ...
WI
Answered by Wajiha I. Maths tutor
17314 Views

Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)

Ok so we need to get 'y' by itself on the left hand side of equal sign. We will first try to remove the denominator by multiplying 'x' by (3+4y). This gives (3+4y)x = 1 - 2y. We will then expand the brackets...
WI
Answered by Wajiha I. Maths tutor
18079 Views

What is exactly differentiation?

This is obviously a very important but somewhat difficult to explain question of maths. Let's try to define these terms for normal functions between R (real numbers) and R. Now, if we consider the derivative...
JP
Answered by Joseph P. Maths tutor
6381 Views