The English coinage before decimalization included half-crowns (30 pennies), florins (24 pennies), shillings (12 pennies), sixpences (6 pennies), threepences (3 pennies) and pennies (1 penny). Show that with these coins the greedy algorithm does not necessarily produce an optimal solution even when an unlimited supply of coins of each denomination is available.

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.