The answer is the fourth graph.
So what makes a function a function is that every input (x) has only one output (y). To test if a line is a function on a graph, you would use something called the "vertical line test". Move a vertical line across the graph, and if at any point there was more than one point on the vertical line it would not be considered a function. And the only graph that has no more than one point when moving a vertical line across the graph is the last graph.
Answer:
x = -7/9
Step-by-step explanation:
The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.
6(-1/2(3x -4) +3x) = 6(5/6)
-9x +12 +18x = 5 . . . . . . . . . simplify
9x = -7 . . . . . . . . . . . . . . . . . subtract 12
x = -7/9 . . . . . .divide by 9
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Another way to do this is to eliminate parentheses first.
-3/2x +2 +3x = 5/6
3/2x = -7/6 . . . . . . . . . collect terms, subtract 2
x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3
30 times 30 plus 45 minus 456 is 489
Answer:
.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So
In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So
In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now
Answer:
6x²5y²6 cm²
Step-by-step explanation:
(2xy3) x (4x5y6)
(2x) x (4x) = 6x²
(y) x (5y) =5y²
6x²5y²6 cm²
