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Solve the inequality x^2 – 5x – 14 > 0.

In order to solve this, the quadratic must be factorised. This means we're trying to get the equation into the form (x+a)(x+b)>0 where a and b are constants where a x b = -14 and a + b = -5. This turns ou...
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Answered by Marcus P. • Maths tutor
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A bag contains 8 oranges, 9 pears and 13 apples. What is the probability a pear is picked?

The probability of an event happening is defined as the number of outcomes you're looking for (in this example the number of pears, 9) divided by the total number of outcomes (i.e. the total number of fruit ...
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Answered by Marcus P. • Maths tutor
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The gases X & Y react with each other to produce gas Z according to the equation: 2X + Y ->2Z. 100cm3 of gas X was mixed with 10cm3 of gas Y, in a freely moving sealed gas syringe The reaction went to completion. What was the final volume of the syringe?

What's the key information we need to extract from the question: reaction went to completionmolar ratios of X, Y and ZGas Y is the limiting factor & Gas X is in excess If gas Y is the limiting factor, an...
AT
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What are tariffs and why are they used?

Tariffs are a tax a government puts on good which are imported into a country. This increases the price per unit of the imported good and is often used by governments o attempt to encourage individuals to pu...
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Answered by Nathan F. • Economics tutor
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Expand the following brackets: a) 4(x+3) b) 3(x-1)-2(x+5) c) (y-3)^2 d) (y-2)^2 + (y+3)^2

a) 4x + 12 For this question you must expand out the bracket by multiplying the subjects within by the number at the front. 4x + (4 x 3) = 4x + 12 b) x - 13 Although this question looks more confusing, you s...
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Answered by Jasmin F. • Maths tutor
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