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mina [271]
1 year ago
10

Write always, sometimes, never to fill in the following blanks. 16. A whole number is a natural number. 17. A fraction is 18. A

decimal is 19. An integer is 20. A natural number is a natural number. an integer. a counting number. a rational number. PLEASE HELP ME ​
Mathematics
1 answer:
Bas_tet [7]1 year ago
3 0
<h2>Answer:</h2>

<u>16. A whole number is </u><u>always</u><u> a natural number.</u>

<u>17. A fraction is </u><u>sometimes</u><u> a decimal. </u>

<u>19. An integer is </u><u>sometimes</u><u> a natual number.</u>

<u>20. A natural number is </u><u>sometimes</u><u> an integer. </u><u>always</u><u> a counting number. </u><u>always</u><u> a rational number.</u>

<h2>Step-by-step explanation:</h2>

<u>16. A whole number is </u><u>always</u><u> a natural number.</u>

Because whole numbers include 0 and positive numbers, and natural numbers are the numbers used to count and order things, therefore, a whole number is always a natural number.

<u>17. A fraction is </u><u>sometimes</u><u> a decimal. </u>

Because some fraction can give whole numbers and decimals as a result. Example of whole number: 50/2= 25, 25 is a whole number.

Example of decimal number: 3/2= 1.5, 1.5 is a decimal number.

<u>19. An integer is </u><u>sometimes</u><u> a natual number.</u>

Because integers are all whole numbers (positives and negatives) and 0, and natural numbers are only the positive numbers, those that can be used to count and order things.

<u>20. A natural number is </u><u>sometimes</u><u> an integer. </u><u>always</u><u> a counting number. </u><u>always</u><u> a rational number. </u>

Because integers are all whole numbers (positives and negatives) and 0, and natural numbers are only the positive numbers, those that can be used to count and order things. They are always rational numbers because can always be represented as the fraction of 2 integers.

Check the attatched image for a better understanding of the classification of numbers.

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<img src="https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B3%7D%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%2B%20x%20%2B%202%29%20%5Cdiv%20%20%28%
Roman55 [17]

(x^3+x^2+x+2) divide by (x^2-1)

We use long division to divide

There is no x term in x^2 -1  so we put 0x

                         x   +    1

                        ----------------------------

x^2+0x-1           x^3+ x^2 + x+ 2

                         x^3+0x^2-x

                         -----------------------------(subtract the bottom from top)

                               x^2 +2x + 2

                               x^2 +0x - 1

                          --------------------------------(subtract the bottom from top)

                                      2x + 3

                    -----------------------------------------    

Quotient : x+1

Remainder : 2x+3

                               


5 0
3 years ago
CAN SOMEONE ANSWER JUST S4 PLEASE
Sergio039 [100]

Answer:

9x -18+18=43+18

Step-by-step explanation:

added 18 to both sides

hope this helps good luck :)

3 0
4 years ago
What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,
emmainna [20.7K]

9514 1404 393

Answer:

  C.  (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

  (9, 15)

Then the translation up by 3 will give you the image coordinates ...

  (x, y) ⇒ (x, y+3)

  (9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

8 0
3 years ago
What is the approximate diameter of a tire that will make 775 complete rotations in one mile? (Note: there are 5280 feet
GalinKa [24]

Answer:

About 2.17 feet.

Step-by-step explanation:

Let <em>d</em> represent the diameter of the tire.

Then the circumference of the tire will be:

C=d\pi

So, the tire will travel dπ miles after one rotation.

After 775 rotations, the total miles traveled should be 5280 feet. Thus:

775(d\pi)=5280

Solve for <em>d:</em>

<em />\displaystyle d=\frac{5280}{775\pi}<em />

Approximate:

d=2.1686...\approx2.17

The circumference of the tire should be about 2.17 feet.

5 0
3 years ago
Which equation represents the difference quotient of f(x) for all nonzero values of h?
CaHeK987 [17]

Look at the graph thoroughly .

It passes through origin and given some points

(-1,1)

(1,-1)

(2,-2)

(-2,2)

We observe that

\\ \sf\longmapsto f(x)=-x

Hence whatever the function be the result will be -x

Option D is correct

8 0
3 years ago
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