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Maths
GCSE

Algebra e.g. 2x + 14 = 18. what is x?

2x + 14 = 18Whatever you do on one side, e.g. LHS, you do the same on the RHS.-14 from both sides 2x + 14 (-14) = 18 (-14)2x = 4To get x by itself you need to divide it by 2. so you divide LHS and RHS by ...

ST
Answered by Sonam T. Maths tutor
3664 Views

Prove that the sum of two consecutive integers is always odd

And integer is a whole numberLet the integer = 2X meaning it is even and the next number is (2X+1) making it oddTherefore the sum of the two consecutive integers is2X + 2X + 1=4X+1As this cannot be factor...

SS
Answered by Scott S. Maths tutor
16541 Views

Factorise 3x^3y^2-6x^2y+9xy

look for a common factor. See that 3 divides 3, -6 and 9. Then see that x and y divide the equation also. so write 3xy(x2y-2x+3) and this is your answer.
 

AS
Answered by Amber S. Maths tutor
3660 Views

The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.

Draw a diagramRearrange the given equation into the form y = mx + cy = -3/2x+7/2Gradients of perpendicular lines - m1*m2=-1, so gradient of PQ = 2/3PQ : y=mx+c -> 4=(2/3)*3+cc=2, therefore PQ: y=2/3x+2...

JW
Answered by Jack W. Maths tutor
2619 Views

How do you solve a quadratic inequality?

  1. Treat it as a normal quadratic equation and solve by factorising: eg. x2 - 5x - 24 > 0 x2 - 5x - 24 = 0 (x + 3)(x - 8) = 0 x = -3 or x = 82) Sketch the curve, showing the po...
AA
Answered by Abeda A. Maths tutor
3064 Views

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