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Factorise: 3x^2 - 9x - 30

The first think you can do is look to see if all of your terms can be divided by a common factor. In this case it is 3, leaving you with 3(x^2 - 3x - 10). This can be factorised further to produce something ...
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Answered by Freya N. • Maths tutor
6968 Views

A curve has the equation y=7-2x^5, find dy/dx of this curve

When you differentiate with respect to x, dy/dx, you multiply the number in front of the x by the power of the x then you take one away from the power.So for this example, the 2x 5 differentiates to:(2x5)x (...
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Answered by Emily C. • Maths tutor
5167 Views

3 girls and 4 boys are seated randomly on a bench. Find the probability that the girls set together and the boys sit together.

The number off total arrangements is 7!(permutation). The number of ways for which the girls and boys sit togehter is 3! 4! 2. The probability is the division of the number of way by the total possibilities,...
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Answered by Lina L. • Maths tutor
2812 Views

Solve (sec (x))^2 + 2tan(x) = 0

Using the trigonometric identity: (sec(x))^2 = (tan(x))^2 + 1 we get to (tan(x))^2 + 2tan(x) + 1 = 0. We can express this result as the multiplication of 2 equal factors arriving at (tan(x) + 1)^2 = 0. This ...
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Answered by Lina L. • Maths tutor
2248 Views

Expand and simplify (x − 4)(2x + 3y)^2

You should start off by separating the brackets as the squared only applies to one of them. We'll deal with that one first. Write the (2x + 3y)^2 as two separate brackets of (2x+3y). Then multiply the first ...
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Answered by Lois B. • Maths tutor
4924 Views