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Luda [366]
2 years ago
8

What are the factor of 8x^3 - 27?..

Mathematics
1 answer:
katen-ka-za [31]2 years ago
3 0

Answer:

(x - 3)(4x² + 6x + 9)

Step-by-step explanation:

This is a difference of cubes which factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

8x³ = (2x)³ ⇒ a = 2x

27 = 3³ ⇒ b = 3

Hence

8x³ - 27

= (2x)³ - 3³

= (2x - 3)( (2x)² + (2x × 3) + 3²)

= (2x - 3)(4x² + 6x + 9)

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Vesnalui [34]

Answer:

length = 2w - 3

l = length

w = width

2(length) + 2(width) = perimeter

2(2w - 3) + 2(w) = 60

6w -6 =60

w = 11

len = 2(11) - 3

Step-by-step explanation:

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3 years ago
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25. Write the following definition as a biconditional.
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Answer:

A phrase is an oxymoron if and only if it contains contradictory terms.

Step-by-step explanation:

A conditional statement is a statement written in the "if-then" form.

The converse of a conditional statement is when the hypothesis and the conclusion is interchanged.

A biconditional statement is a combination of a conditional statement and its converse written in the  "if and only if"   form.

Given statement:

  • An oxymoron is a phrase that contains contradictory terms.

<u />

<u>Conditional</u>:  If a phrase is an oxymoron then it contains contradictory terms.

<u>Converse</u>:  If a phrase contains contradictory terms then it is an oxymoron.

<u>Biconditional</u>:  A phrase is an oxymoron if and only if it contains contradictory terms.

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