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Maths
GCSE

Differentiate the following: 2x^2 + 3x -2

The correct answer is: 4x+3. The first part of the equation is differentiated by multiplying the power by the constant in front (2*2). The power is then reduced by one to x^1 (which is just x). This ...

TB
Answered by Tilly B. Maths tutor
3015 Views

Solve the following for x: 2x^2-9x=5

The format of this question shows that it is a quadratic, which we can solve by factorising. We have 3 methods by which we can do this:First, we need to manipulate the eq...

NP
Answered by Noah P. Maths tutor
3432 Views

Solve the following simultaneous equations: 3x + y = 11 2x + y = 8

Start off by determining which unknowns have the same coefficient-      In this case it would be y as the coefficient of y is 1 in both equationsThen make both equations equal to y-      So 3x+y= 11 would...

AR
Answered by Amelia R. Maths tutor
4020 Views

f(x) = 3x - 2a || g(x) = 2ax + 1 || fg(x) = 2x + b/2

fg(x) = 3(2ax +1) - 2a = 6ax + 3 - 2a6ax + 3 -2a = 2x + b/26a = 2 -> a = 1/33 - 2a = b/2 -> if a = 1/3 then: 3 - 2(1/3) = 9/3 - 2/3 = 7/3 7/3 * 2 = b = 14/3

EB
Answered by Elliott B. Maths tutor
2808 Views

168 is 4/7 of a number. What is the number?

If 168 is four sevenths of a number then divide this by 4 to give 1 seventh of the number.
168/4 = 42
So 42 is one seventh of the number.
Now multiply this by 7 to find the number.
42*...

WL
Answered by William L. Maths tutor
4297 Views

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