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Degger [83]
3 years ago
13

Select from the drop down menus to correctly identify whether the given operation is closed or not closed with respect to each s

et of numbers.
Positive integers are (closed, not closed) under subtraction.

Rational numbers are (closed, not closed) under multiplication.

Negative real numbers are (closed, not closed) under division.

Irrational numbers are (closed, not closed) under addition.
Mathematics
2 answers:
Radda [10]3 years ago
7 0

Answer:

Not closed; closed; not closed; closed.

Step-by-step explanation:

If we subtract a larger positive number from a smaller positive number, we get a negative number.  This means positive integers are not closed under subtraction.  Example:  1-3 = -2.

Multiplying two rational numbers will give us a rational number as an answer. This means rational numbers are closed under multiplication.

If we divide two negative numbers, we get a positive number for our answer.  this means that negative real numbers are not closed under division.

Adding two irrational numbers will give us an answer that is an irrational number.  This means irrational numbers are closed under addition.

pashok25 [27]3 years ago
3 0
First is not closed. (2-6=-4)
2nd is closed
3rd is not closed (-5/-5 = +1)
4th is closed
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Answer:

we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

Step-by-step explanation:

16x^2\:-36

As 4 is the greatest common factor of the expression, so factor out common term 4:

i.e.

16x^2\:-36=4\left(4x^2-9\right)

Thus, the first step is to find the greatest common factor (GCF)

Now, solving the remaining portion

16x^2\:-36=4\left(4x^2-9\right)

as (2x+3) and (2x-3) are the factors of (4x²-9)

i.e. (4x²-9) = (2x+3) (2x-3)

Thus, the expression becomes

16x^2\:-36=4\left(2x+3\right)\left(2x-3\right)

Therefore, we conclude that the first step is to find the greatest common factor (GCF).

Hence, option C is correct.

8 0
3 years ago
On the 1st Jan 2012 Beth invested some money into a bank account.
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4 years ago
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In the accompanying diagram, what is sin E? A. B. E C. D. 4 G A B С OD​
IRINA_888 [86]

Answer:

Sin(E) = \frac{4}{5}

Step-by-step explanation:

The full question is as follows :

To find - In the accompanying diagram, what is sin E?

Proof -

We know that,

Sin(theta) = (opposite side) / (hypotenuse)

From the diagram, we can see that,

Base = 3

Perpendicular = 5

Hypotenuse = 5

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For angle E,

Opposite side = 4

Hypotenuse = 4

∴ we get

Sin(E) = \frac{4}{5}

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3 years ago
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