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Maths
GCSE

If f(x)=7-4x, given that f(c)=9, find c

f(c) means let x=c. Remember that c is just an unknown number.

The expression f(c)=9 means that when we put c through the function f(x)=7-4x, it gives the answer 9. Therefore we know 7-4c...

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Answered by Emma F. Maths tutor
8598 Views

What is the best way to solve simultaneous equations?

The easiest way to solve simultaneous equations is to label the equations so you clearly follow them throughout.

For example, say you are asked to solve the unknowns for the simultaneous ...

LW
Answered by Lucy W. Maths tutor
4763 Views

How do I solve the quadratic equation x^2+4x+3=0

When solving a quadratic equation like this it is useful to write it in the form (x+a)(x+b)=0, as this is simply saying 'two numbers multiplied together equal zero'. A general rule in maths is that whenev...

ER
Answered by Edward R. Maths tutor
5396 Views

For a cuboid, the longest side is two units more than the shortest side, and the middle length side is one unit longer than the shortest side. The total surface area of the cuboid is 52 units². (a) Construct an equation to calculate the surface area.

First label all the sides with letters:longest side = amiddle length side = bshortest side = cNow convert the question into equation form: "the longest side is two units more than the shortest side&q...

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Answered by Eden H. Maths tutor
8631 Views

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% ...

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Answered by Lily M. Maths tutor
6884 Views

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