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sergey [27]
2 years ago
7

Use the given graph to determine the limit, if it exists. (4 points)

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
8 0
<h3>Answer:  3</h3>

Explanation:

Refer to the graph below. It should be similar to what your teacher gave you, based off the description.

Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.

As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.

In terms of notation, we can write \displaystyle \lim_{x\to3^{+}}f(x) = 3

The portion x \to 3^{+} means we're approaching 3 from the positive side, aka the right hand side on the number line.

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What are some responsibilities that come with having a checking account?
vampirchik [111]

Answer:

Once the account is open, it is the responsibility of the account holders to reconcile their statements and maintain a proper balance in order to clear all checks. It is very important to pay attention to your balance, and a monthly reconciliation of your account is highly beneficial.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Is 9.521521521 rational or irrational
enyata [817]

If the numbers after the decimal terminate, yes, it's rational.

9.521521521 = 9,521,521,521 / 1,000,000,000

If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.

If <em>x</em> = 9.521521521…, then

1000<em>x</em> = 9521.521521521…

Subtract <em>x</em> from this to eliminate the fractional part:

1000<em>x</em> - <em>x</em> = 9521.521521521… - 9.521521521…

999<em>x</em> = 9512

<em>x</em> = 9512/999

If they don't terminate, but the pattern does <em>not</em> continue, meaning the next few digits could be something random like

9.521521521<u>19484929271283583457</u>…

then the number would be irrational.

7 0
2 years ago
Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose bed
pickupchik [31]
If you would like to know how many feet of fencing does Laurel need in all, you can calculate this using the following steps:

square garden: 4 * 50 feet = 200 feet
3 square rose beds: 3 * 10.5 feet * 4 = 12 * 10.5 feet = 126 feet

200 feet + 126 feet = 326 feet

Laurel will need 326 feet of fencing.
7 0
3 years ago
A) On the grid draw lines to show
4vir4ik [10]

Answer:

d

Step-by-step explanation:

3 0
2 years ago
The taxi fare in Gotham City is $2.40 for the first 1/2 mile and additional mileage charged at the rate $0.20 for each additiona
Troyanec [42]
3.3 miles should be the answer
10 = 2.40 + .2x    - take 2.4 from both sides
7.6 = .2x              - take 2 from 7.6 for the tip
5.6 = .2x              - divide both sides by .2
28 = x
this means that you can pay the taxi drives an additional 28 times with the .20 cents fee and still have 2 dollars left over       
now multiply 28 by .1 miles which is 2.8 miles
add 2.8 miles to .5 miles which equals 3.3 miles 
6 0
2 years ago
Read 2 more answers
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