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How to solve a simultaneous equation?

In simultaneous equations, at this level, you are often given two equations both containing an x and a y. For example:Equation1: y + 2x = 3Equation2: 4y + 2x = 8.The first step in approaching this is to t...

Answered by Sophie B. Maths tutor
3006 Views

Express x^2-4x+9 in the form (x-p)^2+q where p and q are integers

The first step would be to expand the second equation:(x-p)^2+qx^2-px-px+p^2+q

this simplifies to x^2-2px+p^2+q

After this you examine the two equations and identify their similariti...

Answered by Mark N. Maths tutor
12381 Views

Given that y = 2^x, express 4^x in terms of y.

4^x = (2*2)^x =2^x * 2^x = y^2

Answered by Benjamin M. Maths tutor
11547 Views

Solve the inequality 􏰂|2x + 1|􏰂 < 3|􏰂x − 2|􏰂.

(2x+1)2 < 9(x-2)24x2+4x+1 < 9(x2-4x+4)4x2+4x+1 < 9x2-36x+360 < 5x2-40x+35Apply quadratic equation solving formula (...

Answered by Alejandra T. Maths tutor
8321 Views

The exchange rate between dollars and euros(€) is €1 = $1.158 . (a) Felicity changes €4900 into dollars. Work out how many dollars she receives.

4900*1.158=5674.2/1Felicity receives $5670 (to 3sf)

Answered by Alejandra T. Maths tutor
4697 Views

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