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zysi [14]
3 years ago
15

Need this for homework

Mathematics
2 answers:
kolezko [41]3 years ago
7 0

Answer:

from the looks of it , it would just be 15 .

because i don't see any other numbers  

otez555 [7]3 years ago
3 0

NOOOOO I AM WRONG GGGGGGGG

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Prove that 2n^3 + 3n^2 + n is divisible by 6 for every integer n > 1 by mathematical induction. (7 marks)
notka56 [123]

Answer:

The answer is True

Step-by-step explanation:

A <em>mathematical induction</em> consists in only 2 steps:  

<u>First step</u>: Show the proposition is true for the first one valid integer number.

<u>Second step</u>: Show that if any one is true then the next one is true  

Finally, if first step and second step are true, then the complete proposition is true.

So, given 2*n^3+3*n^2+n

First step: using and replacing n=2 (the first valid integer number >1)

2*(2)^3 +3*(2)^2+2=30

\frac{30}{6} =5

As the result is an integer number, so the first step is true.

Second step: using any next number, n+1, let it replace

2*(n+1)^3+3*(n+1)^2+(n+1)\\2*(n^3+3*n^2+3*n+1)+3*(n^2+2*n+1)^2+(n+1)\\2*n^3+6*n^2+6*n+2+3*n^2+6*n+3+n+1\\(2*n^3+3*n^2+n)+(6*n^2+12*n+6)

As the First step is true, we know that

2*n^3+3*n^2+n=6*k,

So let it replace in the previous expression

6*k+6*(n^2+2*n+1)\\6*[k+(n^2+2*n+1)]

Finally

\frac{6*[k+(n^2+2*n+1)]}{6} =k+(n^2+2*n+1)

where the last expression is an integer number

So the second step is true, and the complete proposition is True

5 0
2 years ago
14+16+49+10<br><br>Hint: Add what will get a tens number first!
Leviafan [203]
<span>89 is the correct answer.

</span>
8 0
3 years ago
Read 2 more answers
What's 12+89+75+54+43+23=? <br> LOL!!!
Sladkaya [172]

Answer:

296

Step-by-step explanation:

5 0
2 years ago
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
Burka [1]

Answer:

15x3y.

Step-by-step explanation:

.

5 0
3 years ago
Read 2 more answers
If 40% of a number is 80 what is 25% of that number?
olga2289 [7]

Answer:

25% of 200 is 50

Step-by-step explanation

40% of a number is 80

.40 * n = 80

Divide each side by .4

.40 n/.4 = 80/.4

n = 200

The number is 200

Now lets find 25 percent of that number

.25 * 200 = 50


7 0
3 years ago
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