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Anestetic [448]
3 years ago
11

Which piecewise relation defines a function?

Mathematics
2 answers:
RideAnS [48]3 years ago
8 0
Answer: h(x)

Explanation:

1) f(x) is not a function because there is an ambiguity for x = 4.

x = 4 belongs to both intervals - 2 ≤ x ≤ 4 and x ≥ 4

Then you find two different possible images for x: 0 and -(2)^2 = - 4.

That makes that f(x) be not a function.

2) similar thing happens with g(x)

as per the given relation the value of g(x) for x = 2 is 4 and 4+1 = 5. Which makes that g(x) be not a function.

3) j(x) is not a function because the image of x = -4 is -3(-4) = 12 and 3.

4) h(x) is a function, because there is not any ambiguity in its definition, for every x in its domain there is only one image h(x).
laila [671]3 years ago
3 0

Answer:

Choice C on edge { h(x) }

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The third term in an arithmetic sequence is 9 and the fifth term is 21 . If the first term if a1, which is an equation for the n
tino4ka555 [31]

Answer:

A: an = 6n - 9

Step-by-step explanation:

third term in an arithmetic sequence is 9

a3 = a + 2d

a + 2d = 9

the fifth term is 21

a5 = a + 4d

a + 4d = 21

a + 2d = 9 (1)

a + 4d = 21 (2)

Subtract (1) from (2) to eliminate a

4d - 2d = 21 - 9

2d = 12

d = 12/2

d = 6

Substitute d = 6 into (1)

a + 2d = 9 (1)

a + 2(6) = 9

a + 12 = 9

a = 9 - 12

a = -3

nth term of this sequence = a + (n - 1)d

= -3 + (n - 1)6

= -3 + 6n - 6

= 6n - 9

an = 6n - 9

3 0
2 years ago
Evaluate the following expression.
melisa1 [442]

Answer:

40

Step-by-step explanation:

y = 4

z = 2

8y + 12 - 2z

8(4) + 12 - 2(2)

32 + 12 - 4

44 - 4

40

8 0
2 years ago
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Determine the slope intercept form of the equation of the line through the given points:
Mars2501 [29]

Answer:

5/-6

Step-by-step explanation

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3 years ago
Which equation has the same solution as
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no se sabe

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Isaac’s dad built a shelf for his video games that is 42 inches wide.Each video game is 6/8 inches wide.How many video games can
icang [17]

Answer: 56

Step-by-step explanation:

Since we are informed that Isaac’s dad built a shelf for his video games that is 42 inches wide and that each video game is 6/8 inches wide.

The number of video games that Isaac can fit on the shelf will be gotten by dividing the length of the shelf by the width of each video game. This will be:

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3 years ago
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