The third graph represents a function.
In a function, every input (x value) has <em>exactly</em> one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.
A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.
In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.
Yeah it really be like that sometimes, you gotta try girl
The first answer and the last one
Plug in each number into their designated spots.
Example with (0,5)
0 goes into x and 5 goes into the y variable and this is the equation now:
2*0 +4*5=20
0 times 2 = 0 and 4*5=20
So that is one of the correct answers.
Repeat the process and you find that the last option is also correct.
Intersection of the first two lines:
Multiply the first equation by 4 and the second by 5:
Subtract the two equations:
Plug this value for y in one of the equation, for example the first:
So, the first point of intersection is
We can find the intersection of the other two lines in the same way: we start with
Use the fact that x and y are the same to rewrite the second equation as
And since x and y are the same, the second point is
So, we're looking for a line passing through and . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be
In the attached figure, line is light green, line is dark green, and their intersection is point A.
Simiarly, line is red, line is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
Answer:
Step-by-step explanation:
1/10 * 1/4 = 1/14
1/2 because there is a 50/50% chance its either heads or tails