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Crazy boy [7]
3 years ago
6

Which compound inequality is equivalent to the absolute value inequality |bl> 6?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

b > -6 or b < 6

Step-by-step explanation:

The absolute value operator always returns a positive number, with |b| = b if b > 0, and |b| = -b if b 0. With this in mind, consider the following inequality:

  • |b| > 6

Because of the absolute value operator, this is valid for b values larger than 6 and less than -6. As a result, the compound inequality that this circumstance illustrates is:

  • b< -6 or b > 6
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Step-by-step explanation:

7 0
3 years ago
The third through the fifth terms of a geometric sequence are given by a3 = 18, a4 = 27 , and a5 = 81/2
Kaylis [27]

Let <em>a</em> be the first term in the sequence. If <em>r</em> is the ratio between consecutive terms, then the second term is <em>ar</em>, the third term is <em>ar </em>^2, the fourth is <em>ar</em> ^3, and so on, up to the <em>n</em>-th term <em>ar</em> ^(<em>n</em> - 1).

So the third, fourth, and fifth terms are such that

<em>ar</em> ^2 = 18

<em>ar</em> ^3 = 27

<em>ar</em> ^4 = 81/2

Solve for <em>a</em> and <em>r</em> :

(<em>ar</em> ^3) / (<em>ar</em> ^2) = 27/18   =>   <em>r</em> = 3/2

<em>ar</em> ^2 = <em>a</em> (3/2)^2 = 9/4 <em>a</em> = 18   =>   <em>a</em> = 8

Then the <em>n</em>-th term in the sequence is

<em>ar</em> ^(<em>n</em> - 1) = 9 (3/2)^(<em>n</em> - 1)

You can rewrite this by first rewriting 9 = 3^2, then

9 (3/2)^(<em>n</em> - 1) = 3^2 * 3^(<em>n</em> - 1) / 2^(<em>n</em> - 1) = 3^(<em>n</em> + 1)/2^(<em>n</em> - 1)

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3 years ago
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liberstina [14]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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Alisiya [41]
Area of sphere is given by:
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but:
r=3 inches
thus
Area=4×π×3²
Area=36 π in²
Answer: 36π sq. in
5 0
4 years ago
Read 2 more answers
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Paladinen [302]
2u^3v^4 is the greatest common factor of these monomials.


Hope this helps!


Best wishes:)
3 0
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