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cluponka [151]
3 years ago
14

Which of the following are examples of a function? Justify your answers.

Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer:

The assignment of teachers to students enrolled in each of their classes is NOT an example of a function.

Step-by-step explanation:

To determinate if the given example is a function, you have to use the definition of function and compare it to the example.

A function is defined as a relation that assigns each element of one set to exactly one element of the second set. The first set is called the domain and the second set is called the range.

In this case, the domain is represented by the teachers and the range is the students enrolled in each teacher's classes.

Therefore, the example is not a function because each teacher is not assigned to exactly one student. In other words, in general, one teacher has more than just one student.

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The volume of a gas in a container varies inversely with the pressure on the gas. A container of helium has a volume of 370in3 u
Elan Coil [88]

Answer:

Step-by-step explanation:

When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be

V = k/P

If V = 370 in³ and P = 15psi, then

370 = k/15

k = 370 × 15 = 5550

The equation that relates the volume, V, to the pressure, P would be

V = 5550/P

if the pressure was increased to 25psi, the volume would be

V = 5550/25 = 222 in³

5 0
3 years ago
8 1/3 miles 9 4/5miles 11 5/6miles 12 miles 14 7/8 miles. how many miles would that be that in a week run.
Kaylis [27]

Answer:

8 1/3+9 4/5+ 11 5/6+12+14 7/8=<u>58 61/120</u>

Step-by-step explanation:

First, you would add all of the whole numbers: 8+9+11+1+2+14=54

Second, you would add all of the fractions 1/3+4/5+5/6+7/8=4 61/120

Lastly, 54+4 61/120=<u>58 61/120</u>

6 0
3 years ago
2 Which table represents a function? X y X у 2 -3 -3 0 3 0 -2 1 4 -3 -3 2 2 1 2 3 (1) (3) х X у 1 2 AWNIK -4 1 2 1 NO 4. 1 5 4 6
disa [49]
The answer to Which table represent a function is 1
7 0
2 years ago
Write an addition sentence that helps you solve 15-9.​
Lemur [1.5K]

Answer:

I have 15 cookies and my brother ate 9 now I have 6 cookies.

8 0
2 years ago
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the ha
Lana71 [14]

Answer:

SA = 3.04m²

Step-by-step explanation:

SA = 2 x ( Length x Width + Width x Height + Length x Height )

SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )

SA = 2 x ( 0.4 + 0.32 +0.8)

SA = 2 x 1.52

SA = 3.04 m²

I wish this could help you !

5 0
3 years ago
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