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Maths
GCSE

Solve simultaneously: x^2+y^2=25 and y-3x=13

The substitution method means we have to rearrange the linear equation to find a variable, either x or y, then substitute it into the quadratic (and more difficult to solve) equation, as follows...x2...

Answered by Saffron C. Maths tutor
2497 Views

Expand and simplify (x – 2)(2x + 3)

This question is 3 marks, looking for 2 marks of working and 1 for correct answer. This type of question is called expanding brackets. A simple way to do this is using the acronym FOIL (First, Outside, In...

Answered by Freddie C. Maths tutor
3223 Views

Simplify (14y^2)/y + 5y x 2

(14y^2)/y = 14y5y x 2 = 10y14y + 10y = 24yThe division and multiplication must be performed before the addition. This can be remembered with the acronym BIDMAS.

Answered by Jacob M. Maths tutor
2133 Views

10 girls and 15 boys sit a test. The mean mark for the boys is 70. The mean mark for girls is 82. Work out the mean mark for the whole class.

boys' total = 70 x 15 = 1050 girls' total = 82 x 10 = 820 Total = 1870 mean = 1870/ 25 = 74.3

Answered by Sharon C. Maths tutor
8463 Views

The graph of y = x^2 – 1 is translated 3 units to the left to give graph A.The equation of graphA can be written in the form y=x^2 +bx+c Work out the values of b and c.

identify what the question is asking -> both translation rules and expansion of bracketstranslation rule --> translation of 3units left on x-axis actually gives a the graph of y=(x+3)^2 -1. This is ...

Answered by Georgia P. Maths tutor
6588 Views

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