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kolezko [41]
4 years ago
14

The ordered pairs below represent a relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)Could this set of order

ed pairs have been generated by a linear function?A. No, because the distance between consecutive y-values is different than the distance between consecutive x-valuesB. Yes, because the distance between consecutive x-values is constantC. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate itD. No, because the y-values decrease and then increase
Mathematics
2 answers:
Liula [17]4 years ago
8 0
Yes because its like x cant cheat on y but y can cheat on x so basically your answer is yes and if you  need anything else let me know 
mars1129 [50]4 years ago
6 0

Answer:

The correct answer is C.

Step-by-step explanation:

Notice that the difference between consecutive values of x is always 1, and the difference between consecutive values of y is always 2. This means that

\frac{x_{1}-x_{0}}{y_{1}-y_{0}} = 2

where x_0 and x_1 stands for two consecutive values of x, and the same goes to y.

Now, notice that this is the definition of the slope of the equation of a line. Then, a line can be characterized by this condition, and that is why C is the correct answer.

Anyway, you can check that this set of point is generated by a linear function in other way. Suppose that it can be done, and the linear function has the form

y=mx+n.

From the pair (0,7) we deduce that 7 =m*0+n, then n=7. Now, substituting the pair (-3,1) we get 1=-3*m+7 and as consequence m=2. Thus, if the points are generated by a linear function, its expression would be y=2x+7.

Now, substitute the different values of x and check that the same values of y are obtained.

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\left \{ {{y=x^2} \atop {y=2x+3}} \right.

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Answer:

!! , ' !!!

Step-by-step explanation:

ꜰɪʀꜱᴛ! ᴄᴏᴍʙɪɴᴇ ᴍᴜʟᴛɪᴘʟɪᴇᴅ ᴛᴇʀᴍꜱ ɪɴᴛᴏ ᴀ ꜱɪɴɢʟᴇ ꜰʀᴀᴄᴛɪᴏɴ:

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   / = /                 ᴊᴜꜱᴛ ʟɪᴋᴇ ᴛʜᴀᴛ!

ꜱᴇᴄᴏɴᴅ! ᴍᴜʟᴛɪᴘʟʏ ᴀʟʟ ᴛᴇʀᴍꜱ ʙʏ ᴛʜᴇ ꜱᴀᴍᴇ ᴠᴀʟᴜᴇ ᴛᴏ ᴇʟɪᴍɪɴᴀᴛᴇ ꜰʀᴀᴄᴛɪᴏɴ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀꜱ!! ᴇᴀꜱʏ ᴘᴇᴀꜱʏ:

                    / = /

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<em></em>

<em>! :</em>

<em>           </em><em>9⋅/=</em>!!!

                                   ᴀʟᴍᴏꜱᴛ ᴅᴏɴᴇ!!

ꜰᴏᴜʀᴛʜʟʏ!! ᴍᴜʟᴛɪᴘʟʏ ᴛʜᴇ ɴᴜᴍʙᴇʀꜱ (ᴊᴜꜱᴛ ᴛʜᴀᴛ ꜱɪᴍᴘʟᴇ!):

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          <em>  ˜”*°•.˜”*°• Which Would equal 60=10x!! •°*”˜.•°*”˜</em>

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ʟᴀꜱᴛʟʏ!!! ꜱɪᴍᴘʟɪꜰʏʏ:

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ᴛʜᴇɴ ʏᴏᴜ ɢᴇᴛ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀʀ!!

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3 0
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kotegsom [21]
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