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f(x) = 4x^2 + 8x - 5 ; complete the square to find the turning point of f(x).

4x^2 + 8x - 5 = 0 4(x^2 + 2x - (5/4)) = 0 4((x + 1)^2 - 1^2 - (5/4)) = 0 4((x + 1)^2 - (9/4)) = 0 4(x + 1)^2 - 9 = 0 4(x + 1)^2 - 9 = 0 Turning point is at (-1, -9)
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Answered by Charlotte K. Maths tutor
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Solve the simultaneous equations: y=x^2+4x-2, y=x+2

Equations: 1). y=x^2+4x-2 2.)y=x+2 x+2=x^2+4x-2 First put equation 1 in equation 2 0=x^2+3x-4 Make one side of the equation equal to 0 0=(x+4)(x-1) Factorise the equations Equations 3).x+4=0 4). x-1=0 One or...
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Answered by Phoebe A. Maths tutor
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Solve these simultaneous questions: 2y+x =8 and y-2x = -1.

x = 2 y = 3
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Answered by Celine L. Maths tutor
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How do you solve the simultaneous equations 3x+y=5 and x-y=3?

The aim of this question is to find x and y by combining these two equations. There are two ways of solving simultaneous equations, elimination and substitution. Elimination can only be used when there are n...
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Answered by Andrew N. Maths tutor
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Explain how the human body maintains blood glucose levels within a narrow range

As part of homeostasis, it is vital for the human body to maintain blood glucose levels within a narrow range. The 2 main hormones involved are insulin, when glucose levels are too high, and glucagon, when g...
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Answered by Sally H. Biology tutor
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