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Feliz [49]
3 years ago
9

At which intervals is the function linear or nonlinear?

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

Linear                                    non-linear

x<2 , x>5                           2<x<5

Step-by-step  explanation:

When a function is linear then the graph is a straight line

When the function is not linear then the graph is like a curve

From x = - infinity to 2 the graph is a straight line

So from - infinity to 2, the function is linear, that is x<2 function is linear

from 2  to 5 the graph is like a curve , so it is not linear

2<x<5 , the function is not linear

From x = 5 to infinity the graph is a straight line

So from 5 to infinity, the function is linear, that is x>5 function is linear

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8090 [49]

For lines to be parallel, the slopes have to be the SAME.

For lines to be perpendicular, the slopes have to be the exact opposite. (opposite sign and number)

For example(perpendicular):

slope is 2

the perpendicular slope is -1/2

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12. line a and b are perpendicular


13. Line a: y = 3/5x + 1

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14. Line a: y = 3x + 6

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6 0
3 years ago
What is the average of 1/2 and 1/3
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Hi there!

In order to fin the average, you need to add all the terms together and then divide the result by the number of terms :

(\frac{1}{2} + \frac{1}{3}) ÷ 2 = average


Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.


To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!


So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.


For 1/2, you multiplied 2 by 3 to get 6. Therefore, you must multiply the 1 by 3 aswell.


for 1/3, you multiplied 3 by 2 to get 6. Therefore, you must multiply the 1 by 2.


and now you have 3/6+2/6 since the denominators are the same, you can add the numerators normally which gives you 5/6


\frac{5}{6} ÷ 2 = \frac{5}{12}


Your answer is : \frac{5}{12}


There you go! I really hope this helped, if there's anything just let me know! :)

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