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Simplify (3x^2 - 15x)/(3x^2 - 13x -10)

Begin by considering the numerator and denominator separately, simplify both: 1) 3x^2 - 15x Here, a common factor of 3x can be removed to give 3x(x^2 -5). 2) 3x^2 - 13x -10 This involves using two brackets e...
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Answered by Gabriella O. • Maths tutor
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Find dy/dx when y = x^2(cos(x)).

y = x 2 (cos(x)) therefore we will need to use the product rule, dy/dx = u dv/dx + v du/dx where u = x 2 and v = cos(x) du/dx = 2x and dv/dx = - sin(x), (don't forget the negative symbol when differentiating...
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Answered by Joseff S. • Maths tutor
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Calculate the value of 2^(–3) as a fraction in its simplest form.

To calculate the value of 2 -3 first we know that a negative exponent is equivalent to the inverse of the same number with a positive exponent. Therefore 2 -3 = 1/2 3 , the next step is to calculate 2 3 , 2 ...
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Answered by Joseff S. • Maths tutor
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Calculate the largest share when £400 is shared in the ratio 1 : 2 : 5.

To calculate the largest share, first we need to find out how much each part that makes up a share is worth. To find out how much the smallest part is (i.e 1 part), we divide the value £400 by the sum of the...
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Answered by Joseff S. • Maths tutor
26200 Views

How do I solve the simultaneous equations 5x - 3y = -1 and 3x + y = 5?

One method of solving these is by elimination . We can try to subtract a multiple of one equation from the other to cancel the x's (or y's). 5x - 3y = -1 (A) 3x + y = 5 (B) In this case, we can add 3*(equati...
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Answered by Alex K. • Maths tutor
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