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Maths
GCSE

Prove that the square of an odd number is always one more than a multiple of 4

If we say n is any number, then we know 2n represents an even number - any number multiplied by 2 is always even. 2n+1 represents an odd...

RR
Answered by Rebecca R. Maths tutor
3112 Views

Simply fully (3x^2 - 8x - 3) / 2x^2 - 6x

(3x2 - 8x - 3) / 2x2 - 6x == (3x + 1)(x - 3) / 2x2 - 6x == (3x + 1)(x - 3) / 2x(x-3) == 3x+1 / 2x

GR
Answered by Gabriel R. Maths tutor
3233 Views

Solve (5− x)/2 = 2x – 7

(5-x)/2=2x-7 5-x=4x-14 5=5x-14 19=5x x=19/5

AP
Answered by Abigail P. Maths tutor
8570 Views

The point P has coordinates (4, 5). The point Q has coordinates (a, b). A line perpendicular to PQ is given by the equation 5x+3y=11. Find an expression for b in terms of a.

First we should find the gradient of the line perpendicular to PQ by rearranging the equation.5x+3y=113y=11-5xy=11/5 -5/3xy= -5/3x + 11gradient is -5/3.We know that the gradients of perpendicular lines mu...

SB
Answered by Staś B. Maths tutor
4355 Views

Celine has £5 to buy pens and rubbers. Pens are 18p each. Rubbers are 30p each. She says “I will buy 15 pens. Then I will buy as many rubbers as possible. With my change I will buy more pens.” How many pens and how many rubbers does she buy? [5 marks]

Answer: 16 pens and 7 rubbers

AR
Answered by Ardra R. Maths tutor
2781 Views

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