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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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Need help for 2 and 3 fast
gulaghasi [49]

Answer:

2^{-4} = 1/16

6^{-5} × 6^{5} = 1

Step-by-step explanation:

2^{-4} = 0.0625

0.0625 = 1/16

6^{-5} × 6^{5} = 1

3 0
2 years ago
Read 2 more answers
A) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
bixtya [17]

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. \overline{AB} \cong \overline{DE}

\overline{BC} \cong \overline{EF}

\overline{AC} \cong \overline{DF}

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

\overline{AB} \cong \overline{DE}

\overline{BC} \cong \overline{EF}

\overline{AC} \cong \overline{DF}

6 0
3 years ago
Wasserman (1989) studied a process for the manufacturing of steel bolts. Historically, these bolts have a mean thickness of 10.0
zalisa [80]

Answer:

The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.

Step-by-step explanation:

To solve this question, we use the central limit theorem.

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 10, \sigma = 1.6, n = 5, s = \frac{1.6}{\sqrt{5}} = 0.7155

The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.

7 0
3 years ago
A department store is having as special sale. On monday, the regular price of a dress is marked down by 25%. On Tuesday, the dre
atroni [7]

Answer:

50.625

Step-by-step explanation:

8 0
3 years ago
What is the simplified fraction equivalent to 60%
ch4aika [34]

Answer:

3/5

Step-by-step explanation:

60/100=3/5

GCF=20

20*3=60

60/20=3

20*5=100

100/20=5

4 0
3 years ago
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