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Hunter-Best [27]
2 years ago
11

Which graph shows a set of ordered pairs that represents a function?

Mathematics
1 answer:
pychu [463]2 years ago
6 0

Answer:

B represents a function.

Step-by-step explanation:

Recall these characteristics of a "function:"

Only one y-value can be associated with each x-value.  

Thus, A could not represent a function because there are two points with x = 1 and two different y-values:  (1, 1) and (1, -2).  

B represents a function because for each input (x-value) there is one and only one y-value associated.

C not a function:  (2, 3) and (2, -3) have two different y-values associated with one x-value (2).

D not a function:  (-3, 4) and (-3, -4) (see A and C, above)

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Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1.  Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

x-1=y.

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

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3. Solve the system of two equations:

\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.

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3 years ago
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Jobisdone [24]
C = 2 pi r

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3 years ago
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lorasvet [3.4K]
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