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Deffense [45]
2 years ago
7

Prove: The square of a number that is

Mathematics
1 answer:
Nikolay [14]2 years ago
3 0

Let 3<em>n</em> + 1 denote the "number" in question. The claim is that

(3<em>n</em> + 1)² = 3<em>m</em> + 1

for some integer <em>m</em>.

Now,

(3<em>n</em> + 1)² = (3<em>n</em>)² + 2 (3<em>n</em>) + 1²

… = 9<em>n</em>² + 6<em>n</em> + 1

… = 3<em>n</em> (3<em>n</em> + 2) + 1

… = 3<em>m</em> + 1

where we take <em>m</em> = <em>n</em> (3<em>n</em> + 2).

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How can you simplify 24 to 96 ​
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Step-by-step explanation:

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24 ÷ 2496 ÷ 24.

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2 years ago
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2 years ago
Find f(g(-4)) and g(f(-4)) using the functions below.<br><br> f(x) = 2x + 7<br> g(x) = x2 + 3x - 1
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Answer:

f(g(-4)) = 13.

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Step-by-step explanation:

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so g (f(-4))

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= (-1)^2 - 3 - 1

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