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alexandr402 [8]
3 years ago
14

Part 1 state the domain and range of the given relation.

Mathematics
1 answer:
hram777 [196]3 years ago
5 0
A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which NO two ordered pairs have the same first component and different second components.

The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.

The set of second components (y-coordinates) is the RANGE of the relation.

Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}

Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”

Remember that a function can only take on 1 output for each input.

It helps to plot the points on the graph and perform the Vertical Line Test (VLT):

The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.


Please mark my answers as the Brainliest if you find my explanation helpful :)

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First, you need to make the fractions have the same denominator:

15  1/2        --->       15 + (1/2 x 5)  =   15  5/10

2   1/10       --->       2  1/10

Then you need to subtract them from each other:

  15   5/10                                        

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3 years ago
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( μ, rho, σ) for the indicat
ipn [44]

Answer:

c) H0 : p = 5.8%

H1 : p > 5.8%

Step-by-step explanation:

At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.

A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness

At the null hypothesis, we test if the percentage is 5.8%

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Step-by-step explanation:

I don't know if this is the right way to so it, but I would do it like this

since a triangle has 180 degrees, the angles all have to add up to 180

So 180 = a + b + c

we already know a, its 95

So 180 = 95 + b + c

now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too

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now subtract 95 from both sides

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add the xs and numbers together

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now add the 30 to both sides

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divide by 8

your x is 14 3/8 or 14.375 or 115/8

that's not your angle, that's your x

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