Top answers

Maths
GCSE

Show that n²-n-90=0

FULL QUESTION: here are n sweets in a bag. Six of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag. She eats the sweet. Hannah then takes at random another swee...

VM
Answered by Vihaan M. Maths tutor
10370 Views

Write x^2 – 10x + 12 in the form (x – a)^2 + b , where a and b are integers.

This is a past exam question from a real GCSE paper, and is an example of "completing the square." I will show you 4 steps for answering this question. ¬¬¬ The first step is to check whether the...

EY
Answered by Emily Y. Maths tutor
27041 Views

Expand and simplify (x + 5)(x – 1)

These two brackets multiply out to form what is called a quadratic. We expand these two brackets using the "FOIL" method - this stands for First, Outside, Inside and Last. Therefore, the first t...

SM
Answered by Shrishti M. Maths tutor
33768 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

First it's importance to clarify what the question is asking: we're looking for the price of 18 litres of paint that is part white paint and part blue paint. One way to answer the question is to understan...

BS
Answered by Babak S. Maths tutor
22255 Views

A line joins 2 points (2,9) and (5,4). Calculate the gradient of the straight line and then write down the equation of the straight line.

The first thing to do is to look at the points given and decide if you are going to get a negative or positive gradient. We can determine, from inspection that the gradient will be negative because as the...

LM
Answered by Liam M. Maths tutor
4951 Views

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