Answer:
21 = n
Step-by-step explanation:
-5 - 5
________________
-⅓<em>n</em> = -7
____ __
-⅓ -⅓
21 = <em>n</em>
* Dividing by a fraction is the exact same as multiplying by its <em>multiplicative</em><em> </em><em>inverse</em>:
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Slope: rise over run
4 up and 2 to left
4/2 = 2, the slope is 2
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a relation in which NO two ordered pairs have the same first component and different second components.
The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.
The set of second components (y-coordinates) is the RANGE of the relation.
Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}
Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”
Remember that a function can only take on 1 output for each input.
It helps to plot the points on the graph and perform the Vertical Line Test (VLT):
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.
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180 eggs. That’s because 6 x 6 = 36 so we know how many eggs are in each tray. Then there are 5 trays with 36 eggs so 5 x 36 = 180
