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lesya [120]
3 years ago
9

Find limit as x approaches 1 for x-1/ x^2-3x+2

Mathematics
1 answer:
zysi [14]3 years ago
8 0

I'm going to assume that you meant the following:

  (x-1)

---------------

x^2-3x+2


Factoring the denominator, we get:

  (x-1)

------------  

(x-1)(x-2)

Notice that we have x-1 in both the numerator and the denominator.  This factor cancels.  HOWEVER:  x can still not equal 1, which would lead to div. by zero.  With the factor x-1 cancelled, we have   1 / (x-2).  As x approaches 1 from either side, y approaches 1 / (1-2), or 1 / (-1), or -1.  Thus, the limit exists and is -1.

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frutty [35]

\\ \rm\longmapsto 2^{4x+4}=64^{x+2}

\\ \rm\longmapsto 2^{4x+4}=(2^6)^{x+2}

\\ \rm\longmapsto 2^{4x+4}=2^{6(x+2)}

\\ \rm\longmapsto 4x+4=6(x+2)

\\ \rm\longmapsto 4x+4=6x+12

\\ \rm\longmapsto 4-12=6x-4x

\\ \rm\longmapsto -8=2x

\\ \rm\longmapsto x=\dfrac{-8}{2}

\\ \rm\longmapsto x=-4

8 0
2 years ago
Read 2 more answers
1. Mr. McClellan compared the weights (in pounds) of pairs of elk antlers dropped at Mount St Helens NVM and Rocky Mountain NP.
Dahasolnce [82]
(a) I have the line plot attached
(b) Purple mean: 30
Red mean: 36
Purple median: 30
Red median: 36

I'm sorry, that is as much as I can help with, I really am sorry.

4 0
3 years ago
16 POINTS
Marta_Voda [28]
Solve the following system using elimination:
{7 x + 2 y = -19 | (equation 1)
{2 y - x = 21 | (equation 2)

Add 1/7 × (equation 1) to equation 2:
{7 x + 2 y = -19 | (equation 1)
{0 x+(16 y)/7 = 128/7 | (equation 2)

Multiply equation 2 by 7/16:
{7 x + 2 y = -19 | (equation 1)
{0 x+y = 8 | (equation 2)

Subtract 2 × (equation 2) from equation 1:
{7 x+0 y = -35 | (equation 1)
{0 x+y = 8 | (equation 2)

Divide equation 1 by 7:
{x+0 y = -5 | (equation 1)
{0 x+y = 8 | (equation 2)

Collect results:
Answer: {x = -5, y = 8
8 0
3 years ago
What's 2|-9| - |-2|?
UNO [17]

Answer:

16

Step-by-step explanation:

First, simplify by finding the absolute values:

2|-9| - |-2|

2(9) - (2)

Then, simplify this by multiplying 2 and 9:

18 - 2

= 16

So, the answer is 16

3 0
2 years ago
The lines on a 2 cup liquid measuring cup divide each cup into eighths. If you measure 1 cups of water, between
Lemur [1.5K]

Answer:

The 4rth line and 5th line

Step-by-step explanation:

This 2 cup measuring cup with 8 division lines

8th line ------    2 cups

7th line ------

6th line ------

5th line -----

4th line -----     at this line 1 cup

3rd line -----

2nd line ----

1st line  ----

6 0
3 years ago
Read 2 more answers
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