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Curve C has equation y=(9+11x)/(3-x-2x^2). Find the area of the curve between the interval (0, 1/2). State your answer in exact terms.

The word "area" should highlight that it is an integration question to the student. The interval asked for is (0,1/2) and so the curve should be integrated between that interval.The first task is t...
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Answered by Isha A. Maths tutor
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Expand and simplify 4x(x+3) - (2x-3)2

When dealing with such a question, an expansion question, the first part of the equation to look at is the brackets.Looking at the question above, one can see that there are two pairs of brackets - it would ...
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Answered by Tofi O. Maths tutor
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Solve the simultaneous equations: 2x+2y = 10 and 7x + 4y = 26

The first step with any simultaneous equation is to cancel out one of the variables. Here, 2y is a factor of 4y (it fits into 4y twice) so we can multiply the 1st equation by 2 to give us 4x+4y = 20.This giv...
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Answered by Sylvia M. Maths tutor
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Solve the simultaneous equations: 2x-3y = 16 x+2y= -6

x=2 y=-4
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Answered by Nadia A. Maths tutor
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Find the value of x that satisfies the following equation: (3x + 2)/2 = 6x + 4

Step 1: Eliminate fractions => Multiply everything by 23x + 2 = 12x + 8 Step 2: Collect like-terms with all of the xs on one side => 9x = -6 Step 3: Divide through to find the answer in terms of x =&gt...
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Answered by Jacob P. Maths tutor
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