Which of the following statements best represents the relationship between a relation and a function. 1. a function is always a relation but a relation is not always a function. 2. a relation is always a function but a function is not always a relation. 3. a relation is never a function but a function is always a relation.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

Find the amplitude of a sinusoidal function that models this temperature variation