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How do you differentiate?

Say you have the term y=3X2 . You start by bringing the power down and placing it in front of the 3 so they multiply like so y=2x3X2 then next you take one away from the power like s...

Answered by Alex Y. Maths tutor
2822 Views

Solve 4(x-5)=3x-6

First, expand brackets to make your life easy. So you would do 4 times x and 4 times -5 to give u 4x-20. Then gather all the x's on one side of the equation and numbers on the other side. 4x-20=3x-6. Reme...

Answered by Aymen S. Maths tutor
4213 Views

p(x)=2x^3 + 7x^2 + 2x - 3. (a) Use the factor theorem to prove that x + 3 is a factor of p(x). (b) Simplify the expression (2x^3 + 7x^2 + 2x - 3)/(4x^2-1), x!= +- 0.5

(a) The factor theorem states that: the polynomial f(x) has a factor (x - a) if and only if f(a) = 0.Use that information, we know that (x + 3) is a factor of p(x) if p(-3) = 0. So let's test it:p(-3) = 2...

Answered by James M. Maths tutor
9265 Views

There are a collection of CDs. There are 2 Rock CDs, x Pop CDs and 2x + 5 Jazz CDs. A CD is chosen at random, the probability that it is Rock is 1/20. Work out the probability it is Jazz.

To answer this question first we need to work out how many CDs we have in total. We do this by adding up the number of CDs in each category:Total = 2 + x + 2x + 5.
We can simplify this to give:Total ...

Answered by James M. Maths tutor
7216 Views

A circle is touching a square. The area of the square is 64 cm^2. Work out the area of the circle.

The first step of looking at a question like this is to highlight all the important information in the question. We are told that the square has an area of 64 cm2 so what can we infer about the...

Answered by James M. Maths tutor
15520 Views

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