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givi [52]
3 years ago
14

Is the following relation a function? X Y 6 -1 -1 2 4 3 0 3

Mathematics
2 answers:
german3 years ago
5 0
Answer: Given relation is a function

A relation is said to be a function if no value in its domain is paired up with more than one value in its range.

Since x values represent the Domain of a relation and y values represent the Range of a relation, in terms of x and y we can say:

A relation is said to be a function if an x-value is not paired up with more than one y-value.

From the above table we can see that all the x values are distinct, so no x value is paired with more than one y-value and thus given relation is a function. 
PIT_PIT [208]3 years ago
4 0
Note that the input values {6, -1, 4, 0} are unique (all different).  So, yes, this relation is a function.  If the input values were  {6, -1, 4, -1, 0}, then no, that would not represent a function because the input values were not unique.

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when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s
Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

k - Proportionality constant, measured in \frac{s}{m^{1/2}}.

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

If t = 4\,s and y=78.4\,m, then:

k = \frac{4\,s}{(78.4\,m)^{1/2}}

k \approx 0.452\,\frac{s}{m^{1/2}}

Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

t \approx 10.107\,s

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0
3 years ago
2/3(6c+4)-(8c-5) Please explain how to do the problem.
irga5000 [103]
2/3(6c+4)-(8c-5)
1) Get rid of the negative signs
New equation (the ones in bold are the changes): 2/3(6c+4)+(-8c)+(5)
2) Use distributive property for the first part by multiplying 2/3*6c= 4c and 2/3*4= 2 2/3
New equation: 4c+2 2/3+ (-8c) + 5
3) Combine like terms: 4c+(-8c)= -4c and 2 2/3+5= 7 2/3
New and simplified equation: -4c+ 7 2/3
5 0
2 years ago
PLEASE HELP I WILL GIVE BRAINLEST
Korvikt [17]

Answer:

Angle WZY=31degrees

Step-by-step explanation:

5x+11=8x-1

11+1=8x-5x

12=3x

X=12/3

X=4

Substitute x=4 in 5x+11

5(4)+11=31

6 0
2 years ago
Does anyone u derived this
solong [7]

Answer:

  B

Step-by-step explanation:

The question asks why you can use the argument that two angles are congruent. Hence, you want to have a statement that involves two angles in the two triangles. Only statement B is such a statement.

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Multiple choice questions often answer themselves, if you understand what you're reading.

4 0
3 years ago
Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?
IRINA_888 [86]

Answer:

Point B is the result of a 90° counterclockwise rotation.

Step-by-step explanation:

8 0
2 years ago
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