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How does one find the equation of a line passing through 2 points of a graph?

The general equation for a line on a graph is: y = mx + b ,where a is called the slope of the graph and b is the y-intercept(or the point where the line crosses the y axis). Let's assume the 2 points have...

Answered by Dimitar D. • Maths tutor

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f(x) = x^3 - 13x^2 + 55x - 75 , find the gradient of the tangent at x=3

f(x) = yy= x³- 13x² + 55x - 751) find f'(x) [=dy/dx] Differentiation is (1) multiplying the coefficient by the original power --> 2) reducing the original power by 1dy/dx = 3x

Answered by Kiitan O. • Maths tutor

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How effective were the policies of British governments, in the years 1789 to 1812, in controlling popular discontent?

Paragraph 1: Firstly, in terms of ‘how effective’ the policies were in ‘controlling’ popular discontent, it is important to register that different perspectives will lead to different conclusions, with po...

Answered by Sarah B. • History tutor

4735 Views

Solve the simultaneous equations: 3x + 2y = 4 and 4x + 5y = 17

Step 1: multiply one or both equations so that the 2 equations have the same coefficient for either x or y (pick easier one) 5(3x + 2y) = 5(4) --> 15x + 10y = 20 AND 2(4x + 5y) = 2(17) --> 8x + 10y ...

Answered by Rania D. • Maths tutor

4986 Views

How should I structure my answer to this TSA question: Should we care more about the survival of animal species or the welfare of individual animals?

Should we care more about the survival of animal species or the welfare of individual animals?
You need to first of all decide on an argument. In this question it makes it easier to broadly pi...

Answered by Olivia L. • TSA Oxford tutor

3833 Views