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If f(x) = 4x - 7 and f(c) = 9, find the value of c.

To find the value of c, we need to find the value of x in the following: 4x - 7 = 9.

Add seven to both sides: 4x = 16

Divide by 4: x = 4

Answered by Andrew B. • Maths tutor

6002 Views

Given that 5cos^2(x) - cos(x) = sin^2(x), find the possible values of cos(x) using a suitable quadratic equation.

First, need to get all the terms in the equation to be the same. Using the following identity, it is possible to achieve this:

sin²(x) + cos²(x) = 1

1 ...

Answered by Andrew B. • Maths tutor

8028 Views

How do I plan and structure an essay in an exam?

Writing an essay under exam conditions is daunting, the pressurised environment can sometimes make you forget what you're doing altogether! Here's some tips on planning and structuring an exam essay:

Answered by Jordan I. • English Literature tutor

12263 Views

How can I get higher grades in my exams?

You have to learn how to analyse language techniques (such as word-choice, metaphor and simile) as effectively as possible and then frame your answers using the key words from the question.

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Answered by Michael O. • English tutor

3030 Views

Factorise and solve x^2 – 8x + 15 = 0

This equation is of the form ax² + bx + c = 0 (where a = 1, b = -8 and c = 15). To help solve it, find two numbers that add to give the value of b (the 'sum') and also when multiplied togeth...

Answered by Andrew B. • Maths tutor

11426 Views