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f(x) = 4x - m, g(x) = mx + 11, fg(x) = 8x + n. m and n are constants. Find the value of n.

If f(x) = 4x - m, and g(x) = mx +11, then the combined functions are: fg(x) = 4(mx +11) -m, or expanded to fg(x) = 4mx + 44 - m.

We are told that this function of 'f' and 'g' can also be written as...

Answered by Angus B. • Maths tutor

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Expand and simplify the following expression: (2x-1)(3x+2)

Use a double-bracket expansion method such as FOIL (first, outer, inner, last). If you don't know FOIL or how to expand double brackets, don't worry, I will explain it to you in the session.

Answered by Oliver B. • Maths tutor

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Solve 3x2 + 7x – 13 = 0 Give your solutions correct to 2 decimal places.

a=3 b=7 c=-13

Use quad formula: -b+-root[(b^2-4ac)/2a]

Sub in values: -7+-root[7^2-4x3x-13] =1.22 and -3.55

Answered by Bronte P. • Maths tutor

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What are the different ways you can make a purpose clause?

You can use ut + subjunctive; qui + subjunctive; supine; future participle; ad/causa + gerund(ive)

Answered by Laura P. • Latin tutor

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Expand (x+3)(x+1).

The Ancient Greeks perceived a much stronger relationship between Algebra and Geometry than we do today and because of that they often utilised Geometry to help think about, and solve, certain algebraic q...

Answered by Daniel C. • Maths tutor

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