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Fed [463]
3 years ago
12

Find the dicontinuities of the function.

Mathematics
1 answer:
elena-s [515]3 years ago
5 0

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

f(x)=\frac{x^2+12x+27}{x^2+4x+3} because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)} and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

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The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. A graph titled D
natima [27]

Answer:

$110

Step-by-step explanation:

The computation is shown below:

Provided that

Number of desk purchased    Fund Left $

           0                                   700

           1                                    590

           2                                   480

           3                                   370

           4                                   260

           5                                   150

           6                                    40

Now the Fund decreased while purchasing is

= 5 desks - 2 desks

= 3 desks

i.e

= $480 - $150

= $330

Now the amount of money left for decreased the desk fund is

= \frac{Fund\ decreased }{number\ of\ desk\ decreased}

= \frac{\$330}{3\ desk}

= $110

3 0
3 years ago
Read 2 more answers
Explain the land resource of Nepal according to ecological division. (NOT EXPECTING ANY SILLY ANSWERS)​
RideAnS [48]

Answer:

nepal is a land locked country.it is surrounded by india from eas west and south and chime form north

according to ecological fivison it is divided into three region

1.terai

2.hilly

3. himalyan

In hilly region there is more production of crops and vegetables . peplo come in terai region to sell vegetables and they do work with unity .

thry have their own work.so they work in unity which help to terai region grow crops and hilly region sell it in Himalayan region from which terai help to grow crops usually there is a fertile land and it occupies 42%.

3 0
3 years ago
The measure of an angle is 47º. What is the measure of its complementary angle?
exis [7]

Answer:

137 degrees since it says 47

Step-by-step explanation:

7 0
3 years ago
Two random samples were taken to determine how often people in a community listen to the local radio station each month.
Dvinal [7]

Answer:

1 2 4 6. Tell me if im wrong.

Step-by-step explanation:

7 0
3 years ago
Need quick help with 2 math equations asap! Thanks!
solong [7]

Before answering, keep in mind that parallel lines have equal slopes and perpendicular lines have negative reciprocal slopes. Each problem has you find the slope and then use that rule.


For line F, m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}}


Let xx_{1} = 7, xx_{2} = 9, yy_{1} = 13, yy_{2} = -3


m = \frac{-3 - 13}{9-7}


m = \frac {-16}{2}


m = 8


For line E, the calculations are similar and the slope is 3/5. The perpendicular line would have m = -5/3.

5 0
3 years ago
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