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If x:y = 7:4 and x+y = 88 , work out the value of x–y.

We know that x:y is 7:4, and therefore x is seven-elevenths of the total value of x and y. Therefore we can express x = 7/11 (x+y). Since we also know that the total of x+y is 88, we can substitute this i...

Answered by Reece S. • Maths tutor

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Compare the following logarithms in base 1/2 without a calculator: log(8) and log(512)

Compare through subtraction : log_0.5(8)- log_0.5(512) = xUsing logarithm rule in addition/subtraction: log_a (b)+log_a(c) = log_a(b*c) ; log_a

Answered by Gael A. • Maths tutor

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y=7-2x^5. What's dy/dx?Find an equation for the tangent to the curve where x=1. Is itan increasing or decreasing function when x=-2?

dy/dx=-10x^4When x-1, gradient =-10 Tangent is then: y+10x=15When x=-2, dy/dx=-160 so a decreasing function

Answered by Khai L. • Maths tutor

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Factorise the following: 21x(squared)-35x

The question is asking us to factorise, this means put the equation into a simplified bracket. The first step is to find the highest common factor (HCF), the HCF must be a factor of 21x² as wel...

Answered by Annesa M. • Maths tutor

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simplify fully (x^2-5x+4)/(x^2-2x-8)

First we need to look at the quadratic formulas separately and factorise them. (x^2-5x+4) the sum is -5 and the product is 4, we need to find numbers that add to get -5 and multiply to get 4, which is -4,...

Answered by Aisling H. • Maths tutor

7831 Views