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Mashcka [7]
3 years ago
15

Which of the expressions below can be factored using the difference of squares method?

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer: A. 9x^2 - 16y^2 .

Step-by-step explanation:

  • A difference of squares problem is factored as :a^2 - b^2 = (a + b)(a - b)
  • For this both terms in the form of squares and a minus sign between them.

From all the options only option A has both terms square and they minus sign between them.

Also, 9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)

Here a= 3x and b= 4

Hence, the correct answer is A. 9x^2 - 16y^2 .

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List all the ways to select two members from S with repetition. The order in which the members are selected is not important. Fo
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9514 1404 393

Answer:

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

Step-by-step explanation:

Instead of starting with adjacent letters in the list, we start with the same letter. There are 15 possible pairs.

  KK KL KM KN KP LL LM LN LP MM MN MP NN NP PP

__

<em>Additional comment</em>

We leave out pairs with letters previous, because you've said KL is the same as LK, and KL has already been listed. The problem with this list is that it misstates the probabilities of randomly obtaining a given pair. It is not 1/15, but is 2/25 for all but letter duplicates. For duplicates (KK), the probability is 1/25, not 1/15.

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Step-by-step explanation:

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Answer:

Let y(x)="x is valid and x has true premises" and z(x)="x has a true conclusion".

Step-by-step explanation:

The universe U is the collection of all arguments so that x∈U. The statement uses the universal quantifier ∀ represented by the word "Every". The words "valid", "with true premises" and "has a true conclusions" are properties of an argument x.

We can interptet the statement as: "For all x, (x is valid and x has true premises)→(x has a true conclusion)". Symbolically, (∀x)(y(x)→z(x)). The implication → can be read as "if y(x) then z(x)".

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