Search over 10,000 free study notes

Rearrange one of the equations to make y the subject:y = 5 - 2x Substitute y into the other equation: 3x + 5 - 2x = 7 x = 2 y = 5 - (2 x 2) y = 1

When integrating, we raise the power by 1 and divide by the new powerSo, 2x⁵ becomes 2x⁶ /6 which simplified down as the question asks is x^6/3-1/(4x³) is -(1/4)x^^-3<...

12 items of fruit. 4/12 are apples - can 4/12 be simplified? Yes both can be divided by 4 and so the fraction becomes = 1/3 for the probability of taking an apple.
The probability of NOT taking an ap...

To make the equation easier, multiply it all by 2 : 6x-11 = 1 And solve: 6x = 12x = 2

When expanding brackets, we need to make sure each of the terms in the first bracket are multiplied by all the terms in the second bracket (and vice versa). To make sure nothing is missed, we can used the...