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Both of these lines are straight lines since they only have x and y to powers of 1; and constants. Straight lines can be defined if two parameters are known, the gradient and the y-intercept. For two line...

Ratio of females who like popcorn to the females who don't like popcorn is 2:1. If 10 females don't like popcorn, then (10 *2) 20 females like popcorn. 10+20 = 30 females altogether. 30/3= 10 males altog...

R and B are directly proportional variables. Therefore, we can write a relationship between them as R = kB where k is a proportionality constant. We can rearrange this equation to calculate the value of k...

Firstly, simplify the numerator by factorising the quadratic, to give a numerator of (3x+2)(x-1). Now, divide through by (x-1), to give (3x+2).

The chain rule can be used to find more complex derivatives.For example, in the case of: y = (5x + 2)⁵To find the derivative in the ordinary fashion, one would need to expand the brackets to:y=...