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sesenic [268]
3 years ago
8

What is the slope of the line that is perpendicular to the line shown on the graph?

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

We can find out two point on the line (0,2)and(4,1)

The slope =(2-1)/(0-4)=-1/4

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What is the value of the expression 1 2/3 2/7​
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Answer:

1 multiplied by 2/3 and 2/7 is mathematically expressed as 1*2/3*2/7 which is equals to 4/21

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I solve for y<br> 1/2X - 3y = 12​
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Answer:

y=3.8333333333

or you could say y=3.83 repeated.

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Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera
bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

c) The sequence converges

Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

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What are integers?<br> Please give your best explanation and a simple example (worth 20 points)
tino4ka555 [31]
<h3><u>Explanation</u></h3>
  • What is Integer?

Integer is a subset of Real Number. It can be broken into these following:

  1. Positive Integer
  2. Zero
  3. Negative Integer

Integer can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.

<u>Integers</u><u> </u><u>are</u><u> </u><u>like</u><u> </u><u>Natural</u><u> </u><u>or</u><u> </u><u>Counting</u><u> </u><u>Numbers</u><u> </u><u>except</u><u> </u><u>they</u><u> </u><u>have</u><u> </u><u>0</u><u> </u><u>and</u><u> </u><u>negative</u><u> </u><u>numbers</u><u>.</u>

  • Positive Integer

Positive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...

  • Zero

Zero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.

  • Negative Integers

Negative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...

5 0
3 years ago
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