A relation is (also) a function if every input x is mapped to a unique output y.
In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:
- The first graph is exactly a vertical line, so it's not a function.
- The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
- The third graph is not a function, because you can draw vertical lines that cross the graph twice.
- Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
- The fifth graph is a function, because every vertical line crosses the graph once
- The last graph is a function, although discontinuous, for the same reason.
9x - 2 = 67
67 + 2 = 69
69 × 9 = 621
621 = x
Answer:
54 beads
Step-by-step explanation:
1 hexagon = 6
2 hexagons = 10
3 hexagons = 14
Based on the pattern shown above +4 you can create an equation from this to help support finding the amount.
y = 4x + 6
y - total amount
4x - amount that is added by
6 - initial amount for 1 hexagon
Based on this you plug in 12 into x and you will find the answer:
y = 4(12) + 6
= 48 + 6
= 54
If you need to check the work honestly drawing it out, but this equation can also be supported based on the 3rd diagram of hexagon, where the initial is 6 and then 4 are added each time afterwards!!!
y b g
/ \ / \ / \
h t h t h t
soooo 6 outcomes
Answer:
i am sorry i have no idea sorry
