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The square of 5 is 25 and the square of 7 is 49. The prime numbers found between these 2 values are: 29, 31, 37, 41, 43 and 47. This means the smallest value fitting the criteria is 29 and the largest val...

a) y=3x+4

b) (3,13)

= (1/125) ^ 2/3  = (1/5) ^ 2 = 1/25 To find a number to a negative power, you invert it (flip it so that 125 becomes 1/125) To find (1/125) ^ 2/3, find the cube root of 1/125 (=1/5) and then square it (=1...

Here, f(x) and g(x) are functions of x, whose output depends on the value of x.

fg(2) means fg(x) where x=2.

Firstly, calculate g(2) and use this answer as the new value of x for f(x).

The first step here is to find a common factor in each term. If we first look at the coefficients of each term we can see the first common factor is 3, so we can write that first outside of our brackets. ...