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3/5 of a number is 162. Work out the number.

270

2988 Views

Simplify fully 3/(2x + 12) - (x - 15)/(x^2 - 2x - 48)

The first step to answering this question is recognising that the denominators should be factorised to find any common factors. Factorising 3/2x+12 gives 3/2(x+6) and factorising (x-15)/(x²-2x-...

Answered by Archie C. • Maths tutor

5650 Views

f(x) = 2x+3/x-4 Work out f ^–1 (x)

first off, replace all x values with y and all y values with x, which gives us, X = 2Y + 3 / Y - 4 rearrange to give, X(Y - 4) = 2Y + 3 expand the bracket, XY - 4X = 2Y + 3 rearrange to get all Y...

Answered by Dean J. • Maths tutor

3024 Views

40 students were surveyed: 20 have visited France 15 have visited Spain 10 have visited both France and Spain. Use this information to complete a Venn Diagram

10 students went to both France and Spain. This means the intersection of the two circles has 10 people. Use this information to subtract 10 from the 20 that visited France and the 15 that visited Spain. ...

Answered by Sahil S. • Maths tutor

7750 Views

Show that ((√ 18 + √ 2)^2)/(√8 - 2) can be written in the form a(b + 2) where a and b are integers.

To approach a question like this we must first simplify the numerator to make things easier. This ends up being equal to 32 (I will demonstrate on the whiteboard). Then we are left with a fraction that ha...

Answered by Luka M. • Maths tutor

11696 Views