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masha68 [24]
3 years ago
6

Prove that if an integer is a perfect square and a perfect cube, simultaneously, then it is either of the form 7k or 7k+1

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0
If an integer is both a square and a cube, it can be of the form:
<span>(<span>a3</span><span>)^2</span></span>
Now,
since a cube can be of the form 7k or 7k+-1(thanks to FoolForMath),
 we write
<span><span>a^3</span>=7k</span>
and get the no to be
49k^2
, which is in the form of 7 times something
<span>49<span>k^2</span>=7×(7<span>k^2</span>)</span>
Now put
<span><span>a^3</span>=7k+−1</span> Square it
and you'll get a number in the form of (7times something +1)
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Answer:

The third one (parabola)

Step-by-step explanation:

Do a vertical line test.

Basically draw vertical lines over the function. If the x-value has more than one y-value then it is a relation and not a function

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3 years ago
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Answer:

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5 0
3 years ago
A student scored 84 and 87 on her first two quizzes.Write and solve a compound inequality to find the possible values for a thir
Varvara68 [4.7K]
Mean of data = sum of values ÷ number of data

We have three values; 84, 87, and x

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We want the value of x to give mean between 85 and 90 inclusive

85 \leq  \frac{171+x}{3} \leq 90
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255-171 \leq x \leq 270-171
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Hence, the value of x is between 84 and 99 inclusive

8 0
3 years ago
Read 2 more answers
Help with number 19 please
jasenka [17]

Answer:

C) 1

Step-by-step explanation:

Since this a linear table, there has to be a minus or plus. In this case it's +3 or -3. When starting at top, it says 10. Next is 7. The difference is -3. So after is 4. Again, -3. And finally "?" For this you -3 from 4 because it is linear and that is the pattern. The answer is 1. So C is correct

4 0
3 years ago
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