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Maths
GCSE

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...

AB
Answered by Angus B. Maths tutor
4310 Views

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.

6x

OB
Answered by Oliver B. Maths tutor
10027 Views

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

BP
Answered by Bronte P. Maths tutor
5372 Views

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...

DC
Answered by Daniel C. Maths tutor
3601 Views

You have a list of numbers: 1, 45, 81, 40, 7, 8, 14, 23, 7, 4. Calculate the mode, median, and mean.

Mode is the value that occurs most - which is 7. Median - put numbers in numerical order and find the middle number, which is 11. Mean is the average value so add up all the numbers and divide by the tota...

IC
Answered by Isabelle C. Maths tutor
3119 Views

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