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zlopas [31]
3 years ago
13

Which of the following sets represents a function?

Mathematics
1 answer:
Llana [10]3 years ago
5 0

Step-by-step Answer:

Whenever two relations that has identical values in the independent variable, i.e. x, or the first variable, but having a different value for the dependent variable, it is NOT a function.

For example, {(5,4),(5,6),(2,3)} is NOT a function because the identical values of the independent variable "5" do not correspond to the same value of the dependent variable.  

In other words, when we are given an input of 5, we do not know if the output is 4 or 6, so it is NOT a function.

If the output is defined whenever we are given a valid input, it is a function.

For the given examples,

{(3,5),(-1,7),(3,9)}   => NOT a function because when given an input of "3", we cannot determine output.

{(1,2),(3,2),(5,7)} => IS a function, because when we are given any of the valid inputs (1, 3, or 5), we have a unique output.

Similarly the first one,

{(1,2),(1,4),(1,6)} => NOT a function, because we cannot determine a unique output when given an input of "1".

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It'll be 7 because 3/4 is greater than 1/2 so you round it up.
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Thepotemich [5.8K]

Answer:I don't know this one

Step-by-step explanation:

4 0
3 years ago
What is the answer 5i/(2+3i)^2
Nataly_w [17]
Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
3 0
3 years ago
A movie theater has a 24​-foot-high screen located 6 feet above your eye level. If you sit x feet back from the​ screen, your vi
pantera1 [17]

Answer:

The viewing angles are as follows:

For x=5 feet, θ = 0.529 radians

For x=10 feet, θ = 0.708 radians

For x=15 feet, θ = 0.726 radians

For x=20 feet, θ = 0.691 radians

For x=25 feet, θ = 0.640 radians

Step-by-step explanation:

The viewing angle is given as:

θ = tan⁻¹(30/x) - tan⁻¹ (6/x)

where x is the distance between you and the screen.

The question is asking us to find the viewing angle θ at various distances. The distance value needs to be substituted in the above equation in place of x. So,

<u>For x=5 feet:</u>

θ = tan⁻¹(30/5) - tan⁻¹ (6/5)

  = 1.4056 - 0.8761

θ = 0.529 radians

<u>For x = 10 feet:</u>

θ = tan⁻¹(30/10) - tan⁻¹ (6/10)

  = 1.249 - 0.540

θ = 0.708 radians

<u>For x = 15 feet:</u>

θ = tan⁻¹(30/15) - tan⁻¹ (6/15)

  = 1.107 - 0.380

θ = 0.726 radians

<u>For x = 20 feet:</u>

θ = tan⁻¹(30/20) - tan⁻¹ (6/20)

  = 0.983 - 0.291

θ = 0.691 radians

<u>For x = 25 feet:</u>

θ = tan⁻¹(30/25) - tan⁻¹ (6/25)

  = 0.876 - 0.235

θ = 0.640 radians

5 0
3 years ago
Solve for v =<br> Ok thankyou sm
solniwko [45]
Answer: V= 3
Explanation: you multiply 3 times 1 and it gives you 3
3 0
3 years ago
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