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IceJOKER [234]
4 years ago
5

Indicate whether the following statements are True (T) or False (F). 1. The difference of two integers is always a natural numbe

r. 2. The difference of two integers is always an integer. 3. The sum of two integers is always an integer. 4. The quotient of two integers is always an integer (provided the denominator is non-zero). 5. The ratio of two integers is always positive 6. The product of two integers is always an integer. 7. The quotient of two integers is always a rational number (provided the denominator is non-zero).
Mathematics
1 answer:
Savatey [412]4 years ago
7 0
1. False (F): Example: 2-3=-1∉N
2. True (T)
3. True (T)
4. False (F): Example: 3/4=0.75 which is not an integer
5. False(F) : Ratio can be negative if one but not the other integer is negative. Example: 5 : (-1)= -5
6. True (T) 
7. True (T)
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Find the value <br><img src="https://tex.z-dn.net/?f=%282x%290" id="TexFormula1" title="(2x)0" alt="(2x)0" align="absmiddle" cla
charle [14.2K]

\bf {(2x)}^{0}  = 1

The rule is that any number raised to the power of 0 equals to 1.

So if 2 or 1,000,000 is raised to the power of 0 it equals 1.

But 0 to the power 0 is undefined!

0 to any positive power is 0, so 0 to the power 0 should be 0. But any positive number to the power 0 is 1, so 0 to the power 0 should be 1. We can't have it both ways. Underlying this argument is the same idea as was used in the attempt to define 0 divided by 0.

5 0
3 years ago
asha think 1,2,7,5 rounded to the nearest hundred is 1,200 because "2 is less than 5" . what might be aisha misunderstanding abo
dexar [7]
The answer is 1,300 because 7 is more than 5
5 0
3 years ago
Read 2 more answers
Given that x+y=60, the maximum value of x2y is
jasenka [17]

Answer:

y3 - 120 y2 + 3600 y.

Step-by-step explanation:

Rearrange like terms to the same side of the equation:x2 yx = 60 - ySubstitute:60 - y2 yExpand the e.

hope this helps.

7 0
3 years ago
3. A technician worked 45 hours in one week He gets paid double for every hour over 40 hours that he works. If his regular wage
8090 [49]

Answer: 41,250$ (I think)

Step-by-step explanation:

1 hour —> 825$

40 hours —> 825$ x 40 = 33,000$

The after the 40 hours he gets paid x2 and he works for 5 hours

1 hour —> 825$ x 2 = 1,650$

5 hours —> 1650$ x 5 = 8,250$

33,000 + 8,250 = 41,250$

6 0
3 years ago
Is either x=5 or x=3 a solution to 11- x &lt;7
Aleks [24]

Answer:

<h2><em><u>x = 5</u></em></h2>

Explanation:

11 - x < 7

  • 11 minus a number is less than 7

<em>Insert 5 into the equation</em>

11 - 5 < 7

<em>Simplify</em>

6 < 7

  • This is true

<em>Insert 3 into the equation</em>

11 - 3 < 7

<em>Simplify</em>

8 < 7

  • This is false
<h3><u><em>x = 5 is a solution to the equation 11 - x </em></u><u>< 7</u></h3><h3><u /></h3>

- PacificNorthwest

3 0
3 years ago
Read 2 more answers
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