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omeli [17]
2 years ago
10

MATH DETECTIVE:

Mathematics
1 answer:
sergeinik [125]2 years ago
6 0

Answer:

- 5

Step-by-step explanation:

"I am a negative integer greater than -6."

This eliminates any number that is less than -6, as well as any positive number.

0 > x > -6

"I am less than -2."

This narrows down the possible numbers to:

-5, -4, -3.

"I am not equal to -2 + (-1)"

-2 + - 1

-2 - 1

- 3

The number is not '-3'.

"I am not equal to 2 - 6."

2 - 6

- 4

The number is not -4.

Your number should be -5.

Hope this helps.

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Solve the inequality. 9 + 9(x + 7) >= 36 The solution is
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Answer:

x≥ -4

Step-by-step explanation:

9 + 9(x + 7)≥ 36

Subtract 9 from each side

9 -9+ 9(x + 7) ≥ 36-9

9(x + 7) ≥ 27

Divide each side by 9

9/9(x + 7) ≥ 27/9

x+7≥ 3

Subtract 7 from each side

x+7-7 ≥ 3-7

x≥ -4

6 0
2 years ago
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How do you solve (5^{2} - 1) ÷ 6
posledela

( {5}^{2}  - 1) \div 6 =

(25 - 1) \div 6 =

24 \div 6 = 4

Note:

Do the square first, and then you do mathematic operation between the parentheses. And, then do the

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Thank you.

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3 years ago
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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;

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= 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.

5 0
3 years ago
What value of b will cause the system to have
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9514 1404 393

Answer:

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The value of b is the number in the term -6, so is 6.

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