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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 involv...

GO
Answered by Gabriella O. • Maths tutor
8680 Views

Find dy/dx when y = x^2(cos(x)).

y = x2(cos(x)) therefore we will need to use the product rule, 

dy/dx = u dv/dx + v du/dx

where u = x2 and v = cos(x)

du/dx = 2x and dv/d...

JS
Answered by Joseff S. • Maths tutor
31777 Views

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

JS
Answered by Joseff S. • Maths tutor
234505 Views

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 £4...

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Answered by Joseff S. • Maths tutor
25440 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)<...

AK
Answered by Alex K. • Maths tutor
12995 Views

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