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What is the difference between the mode, median and mean?

All three are types of averages that we can calculate.1, 1, 4, 6, 8, 12, 17 We can calculate the mode by looking at which number is the most frequently occurring number, for example, with the above data, the...
JY
Answered by Jemma Y. • Maths tutor
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Expand and simplify (x+5)(x+7)

Front - Outer -Inner -Last (FOIL) x X x = x^2x X 7 = 7x 5 X x = 5x5 X 7 = 35 7x + 5x = 12x x^2 + 12x + 35
EM
Answered by Ellie M. • Maths tutor
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find the derivative of f(x) = x^3 + 2x^2 - 5x - 6. Find all stationary points of the function.

Calculate the derivative using the standard rules, in particular (x n )' = nx n-1 . f(x)' = 3x 2 + 4x - 5 Stationary points are where the derivative is equal to 0, i.e. all x such that f(x)' = 0, so solving ...
GM
Answered by Gustas M. • Maths tutor
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Show how you can rewrite (x+1)(x-2)(x+3) into the form of ax^3 + bx^2 + cx + d

Split the first equation into three parts, i.e. (x+1), (x-2) and (x+3). Multiply the first two parts to get x 2 - x - 2 , then multiply the result with the third part to get x 3 + 2x 2 - 5x - 6 . All that is...
GM
Answered by Gustas M. • Maths tutor
4371 Views

Solve simultaneous equations: 3x + y = 12 and 5x + 5y = 30

Make y the subject of equation 1 by subtracting 3x from both sidesy = 12 - 3x Substitute 12 - 3x for y in equation 25x + 5(12 - 3x) = 305x + 5 12 - 5 3x = 305x + 60 -15x = 3060 - 10x = 30 # add 5x and -15x S...
TD
Answered by Tutor162883 D. • Maths tutor
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