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How do we factorise?

The general form of factorising is that if we have ab+ac, we can rewrite this as a(b+c). We multiply each statement inside the bracket by a. So we’re effectively ripping out common terms. We are dividing b a...
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Answered by Sam V. • Maths tutor
3388 Views

Separate (9x^2 + 8x + 10)/(x^2 + 1)(x + 2) into partial fractions.

First, we find the form of the two fractions we're going to get. As one denominator has a power of 2, and the other a power of 1, our answer will be of the form: [(Ax+B)/(x 2 +1)] + [C/(x+2)]. If we make thi...
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Answered by Laura U. • Maths tutor
4895 Views

Describe the ways energy can be transmitted through a substance?

Conduction, where particles within a conductor gain energy as they heat up and vibrate more vigorously passing energy onto adjacent particles as they collide. Convection, which only occurs in fluids, as flui...
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Answered by Alex L. • Physics tutor
2605 Views

Emily bought 3 books and 2 apples, and she spent £19, while her brother, John, spent £15 on 1 book and 5 apples. What is the cost of one book and one apple?

First we assign, for example, that x = cost of 1 book, and y = cost of 1 apple. Then we make these into simultaneous equations, such as: 3x+2y=19 (eqn. 1) and x+5y=15 (eqn. 2). Now multiply eqn. 2 to get a c...
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Answered by Laura U. • Maths tutor
3431 Views

What is the use of the subjunctive in French?

The subjunctive is a mood and not a tense unlike the perfect, imperfect, present and future. It is used to express doubt, desire, commands and fears. For example "il faut que" (command), j'ai peur ...
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Answered by Gregor T. • French tutor
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