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The equation of a straight line is 3x + 2y = 24. Find where the line crosses the x-axis.

Let's first think about what it means when the line crosses the x-axis. If we consider a normal x-y coordinate plane, every point on the x-axis has a y value of 0. So if we are trying to find out where the l...
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Answered by Angela D. • Maths tutor
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Find the turning points of the curve (x^3)/3 + x^2 -8x + 5

Step one, we need to assess what the question is asking us to do, in this case, find the turning points.The turning points on the graph are where the gradient is equal to zero, so in order to find the turnin...
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Answered by Ellie M. • Maths tutor
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Write 8^2(4^2 / 2^7) in the form 2^x

We know that 8 2 = (2 3 ) 2 = 2 6 and 4 2 = (2 2 ) 2 = 2 4 So we can write the original expression as 2 6 (2 4 /2 7 ) Then using indices laws we get 2 6 (2 -3 ) = 2 3
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Answered by Charlotte C. • Maths tutor
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Solve the simultaneous equations y – 3x + 2 = 0, y^(2) – x – 6x^(2) = 0

Start on the easiest equation and solve to find yy-3x+2=0 <=> y=3x-2Then susbtitute in equation the expression of y in the second equation and simplify(3x-2) 2 -x-6x 2 =0 <=> 9x 2 -12x+4-x-6x 2 =...
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Answered by Maria P. • Maths tutor
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Probability: These 6 coins are in a box - 10p, 10p, 10p, 20p, 20p, 50p. Someone takes 2 coins at random. What is the probability that the total value of the two coins is at least 40p?

The question has a number of important points which should be highlighted before beginning. Firstly the fact that the picks are at random. Secondly that the value of the coins must be at least 40p, so a tota...
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Answered by Tom P. • Maths tutor
8838 Views