The graphs of functions f(x) and g(x) = f(x) + k are shown: 7
6
5
g(x)
4
3
f(x)
2
2
-2
-34
What is the value of k?
+

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.