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Expand the brackets (x-3)(x+4)

When dealing with questions to do with expanding brackets, you must multiply every term in one bracket with all the others in the second bracket. So for this question, we can see we have 4 terms in total: Le...
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Answered by Ameer A. • Maths tutor
6658 Views

Solve these simultaneous equations. 2x + y = 18 x - y = 6

With simultaneous equations there is more than one unknown. First we’ll get one unknown on its own so we rearrange the bottom equation to get x on its own. By adding y to each side of the equation this leave...
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Answered by Lizzie S. • Maths tutor
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Find the value of x: x^2-3x-3=1

To begin this question you need to bring all of the terms to one side, so the equation equals 0. It is easiest to do this by subtracting 1 from each side.x^2-3x-3-1=1-1x^2-3x-4=0Now we need to factorise the ...
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Answered by Emma H. • Maths tutor
4081 Views

What is the equation of the straight line perpendicular to the midpoint of the straight line that passes through (0,5) and (-4,7)?

Firstly, it's important to note that the question concerns straight lines, so it will be possible to express the answer in the form y=mx+c where m is the gradient and c is the y-intercept.To start, we need t...
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Answered by Adam L. • Maths tutor
4334 Views

James wins the lottery and gets £200,000. He decides to spend 10% of his winnings and invest the rest. From the money he has invested, he receives interest of 3% per year. How much money does James have after 5 years (to the nearest pound)?

James starts with £200,000. He then spends 10% of his winnings: 200,000*(1-0.1)=180,000 The 1 represents 100%, which the amount of money James starts with. He then spends 10%, which is represented by the -0....
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Answered by Edward H. • Maths tutor
3700 Views