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Ksivusya [100]
3 years ago
9

Prove that 3n< n! if n is an integer greater than 6.

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0
Let n=7. Then

3(7)=21

Assume the inequality holds for n=k, so that 3k. Then for n=k+1, you have, for k>7,

3(k+1)

so the statement is true.
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4 0
2 years ago
if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m
ElenaW [278]

Answer:

10

Step-by-step explanation:

m = least prime number = 2

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8 0
2 years ago
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JulijaS [17]

Answer:

hjd

Step-by-step explanation:

3 0
2 years ago
-3x+3y=3<br> -5x+y=13<br> Solve for substitution
vladimir1956 [14]
Take -5x + y =13 and rearrange for y:
y=13+5x

Substitute into other equation for y:
-3x+3(13+5x)=3

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-3x+39+15x=3

Simplify:
12x+39=3

Rearrange for x:
12x=-36
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Substitute back into y=13+5x:
y=13+5(-3)
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8 0
3 years ago
I don’t have a problem with
WARRIOR [948]

Answer:

9

Step-by-step explanation:

27 - 18 = 9

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