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1ii) sketch y=x^2-4x-21

A parabola shape with x intercepts at x = -3 and x = 7 and the y intercept at y = -21
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Answered by Kishwar I. Maths tutor
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1i) solve x^2-4x-21=0

Factorise to get (x+3)(x-7)=0 So you can see that x = -3 or x =7
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Answered by Kishwar I. Maths tutor
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Give the possible values of x when 2x^2-x-6=0

first of all the equation needs to be written in the form (ax+b)(x+c) because 2 can only be made by multiplying 2 and 1 we know that a=2 so (2x+b)(x+c) -6 can be made by multiplying 2 and -3, -2 and 3, -6 an...
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Answered by Nina S. Maths tutor
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P is directly proportional to Q. When Q = 6, P = 15. Work out the value of P when Q = 3.5

If P is directly proportional to Q then that means if Q increases P will also increase. If Q decreases P will also decrease. Two values that are directly proportional to each other are related to each other ...
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Answered by Zsolt T. Maths tutor
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Examine the sequence 1 + 1/3 + (1/3)^2 + … + (1/3)^n Under what condition does it converge? What does it converge to?

This is a sequence in the form 1 + c + c 2 + … c n 1 + c + c 2 + … c n * (1 - c) = 1 – c n+1 So we can rewrite the sequence as 1 – c n+1 / 1 - c Which is the same as 1 / 1 – c – c n+1 / 1 - c Since 0 <= c...
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Answered by Hanaan Y. Maths tutor
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