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(2x+3)/(x-4) - (2x-8)/(2x+1) =1

(2x+3) (2x+1) = 4x^2 + 8x + 3

(2x-8) (x-4) = 2x^2 - 16x - 32

(4x^2+8x+3) - (2x^2-16x-32) = 1

2x^2 - 8x - 29 = 1

2x^2 - 8x - 30 = 0

x^2 - 4x - 15 = 0

Using the qua...

MA
Answered by Masie A. Maths tutor
1826 Views

In the UK 7% of children are privately educated compared with 24% in Japan. Evaluate whether the provision of education should be left solely to market forces.

Reasons why it should be left to market forces: • competition in the provision of education can increase choice. Different types of education may be provided => profit motive could make more educationa...

II
8666 Views

Express the number 208 as a) an 8-bit binary number b) an octal string c) a hexadecimal string

Number conversions are a staple of both A-Level and GCSE computing papers. a) Expressing as a binary number is the hardest part of a conversion. Octal and hexadecimal can all come after e...

AM
Answered by Adam M. Computing tutor
5497 Views

A school has a number of students. One is chosen at random; the probability that the student is female is 2/5. Knowing that there are 174 male students, work out the total number of students in the school.

This is a simple yet standard GCSE question, especially in non-calculator papers. The solution is simple: if the student is picked at random, then the probability 2/5 must represent a ratio where the othe...

AM
Answered by Adam M. Maths tutor
4788 Views

The circle C has centre A (10, 12) and passes through the point B (15, 15). a) Find the length of AB, giving your answer as a simplified surd. b) Hence write down an equation for C in the form (x+c)^2 + (y+d)^2 = r^2.

a) Given two coordinate pairs (x1, y1) and (x2, y2) you can work out the distance AB as sqrt((x1-x2)2+(y1-y2)

AM
Answered by Adam M. ICT tutor
1965 Views

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