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Solve the inequality x^2 + 4x ≥ 77

First step is to rearrange to make the quadratic easier to work with: in a familiar form. x 2 + 4x ≥ 77, -77 from both sides x 2 + 4x - 77 ≥ 0 Now the quadratic can be solved, by simplifying into double brac...
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Answered by Alex D. • Maths tutor
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Show that the square of any odd number is an odd number

We can talk about any integer (or whole number) with the variable n. n could be any integer, 2, 3 or 100 or 5 billion and 1!If n is any integer, then what numbers could be written as 2n? These are the even n...
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Answered by Alice T. • Maths tutor
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Solve simultaneously, 2x-3y=16 and x+2y=-6

In order to solve this we need to make two of the terms the same and use an elimination method so we are left with only one unknown rather than two. We will multiply x + 2y = -6 by 2 in order to get 2x + 4y ...
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Answered by Gemma G. • Maths tutor
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What factors influence the shift of a demand curve?

Well, the demand curve can either shift left or rightA shift of the curve would be infleunced by a non price factor which would lead to a increase or decrease in demand.Non price factors include :(Change in)...
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The y-intercept of A is 7. A also passes through point (7, 2). (a) Find an equation of A in the form y = mx + c. (b) B is perpendicular to A and also has a y-intercept of 7. Write down the equation for B in the form y = mx + c.

(a) y-intercept = (0,7); other point = (7,2) ; gradient, m = change in y / change in x ; m = (0 - 7) / (7 - 2) => m = -7/5 ; y = mx + c (we know from the question that c=7) ; y = (-7/5)x + 7(b) gradient o...
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Answered by Oliver T. • Maths tutor
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