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Anvisha [2.4K]
3 years ago
8

{(1,94), (2,94), (3,82), (4.74) is the relation a function

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Given:

The relation is

{(1,94), (2,94), (3,82), (4,74)}

To find:

Whether the given relation is a function or not.

Solution:

A relation is called function, if there exist unique y-value or output value for each x-value or input value.

We have,

{(1,94), (2,94), (3,82), (4,74)}

Here, each input has unique output value because there is no value of x for which the relation has more than 1 distinct values.

Therefore, the given relation is a function.

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Identify the slope of the line that passes through the given points <br><br> (5,2) and (-4,6)
Naya [18.7K]

Answer:

-4/9

Step-by-step explanation:

Slope is rise over run, or change in y over change in x.

We get: (6-2)/(-4-5)=4/-9 or -4/9

4 0
3 years ago
Clara created a coordinate grid of her city. The bowling alley is located at (10, 12) and the skating rink is located at (-6, -4
yulyashka [42]

First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:

\begin{gathered} P(BA,SR)=(\frac{10-6}{2},\frac{12-4}{2})\text{ = (}\frac{4}{2},\frac{8}{2}) \\ \Rightarrow P(BA,SR)=(2,4) \end{gathered}

We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:

\begin{gathered} P(MT,SR)=(\frac{-6+2}{2},\frac{4-4}{2})=(-\frac{4}{2},0) \\ \Rightarrow P(MT,SR)=(-2,0) \end{gathered}

Therefore, Clara's house is located at (-2,0)

6 0
2 years ago
X squared plus 4 divided by x plus 9
aleksandr82 [10.1K]
X^2 + 4 
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8 0
3 years ago
Which expression is equivalent to 36^-1/2
inn [45]
ANSWER


( {36})^{ (-  \frac{1}{2}) }  =  \frac{1}{6}


EXPLANATION



The given expression is


{36}^{( -  \frac{1}{2} )}
This is having a negative index. We must first of all change to a positive index.


Recall that,



{a}^{ - m}  =  \frac{1}{ {a}^{m} }

We apply this law of exponents to get,



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{ {36}^{(  \frac{1}{2} )} }

We cab rewrite the given expression to obtain;



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  \sqrt{36}  }

This will simplify to give us,


{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  6 }


6 0
3 years ago
Read 2 more answers
Please explain the steps in order to solve the equation 2x+5y=28 when x=4
padilas [110]

Answer:

Step-by-step explanation:

Plug in 4 for x

2(4) + 5y = 28

8 + 5y = 28 (subtract both sides by 8)

5y = 20 (divide both sides by 5)

y = 4

6 0
3 years ago
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