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Maths
GCSE

Write x^2 + 6x - 10 in the form ((x+a)^2)+b?

To find the value of a divide the coeffecient of x. Here this would be 6/2 which = 3. If we were to expand (x + 3)^2 + b this would give us:x^2 + 3x +3x + 3^2 +b which simplifies to x^2 + 6x + 3^2 + b. If...

GG
Answered by Gunalini G. Maths tutor
13197 Views

Renee buys 5 kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250 g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.

5kg bag of sweets split into bags of 250g. Convert 5kg to grams which equals 5000By dividing the weight of each bag you can figure out how many bags she can make are 20 bags as 5000/250 = 20. She sells ea...

CM
Answered by Connor M. Maths tutor
8176 Views

The equation of line L is y = 3x - 2 and the equation of line Q is 3y - 9x + 5 = 0, show these two lines are parallel

The basic equation of a line is I=the general form y = mx + c. Where c is a constant and m is the gradient of the lineFor lines to be parallel they must have the same gradient, then they will never crossT...

HH
Answered by Harry H. Maths tutor
2686 Views

How do you rearrange x = (2y+1)/(3y+4) to get y in terms of x?

We first multiply both sides of the equation by (3y+4) to get x(3y+4)=2y+1. We then expand the left hand side to get 3xy+4x=2y+1. By rearranging the equation we get 3xy-2y=1-4x. We then factorise the left...

ER
Answered by Ewan R. Maths tutor
3842 Views

Factorise x^2 - 8x + 12

First we need to draw our two brackets where the terms will go, we set them out like so ( )( ). Now looking at the coefficient of the x squared term, we se that it is one, therefore, it is formed by a mul...

LS
Answered by Luke S. Maths tutor
6095 Views

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