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3 years ago

What is the slope and y-intercept of the following equation: 5x - 3y = 36

Mathematics

2 answers:

oee [108]3 years ago

8 0

Answer:

y = 5/3x - 12

Step-by-step explanation:

bazaltina [42]3 years ago

4 0

Answer:

y=5/3x-12

slope= 5/3

y-intercept= -12

Step-by-step explanation:

i hope this helps :)

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What are some decimals for 9/2 other than 4.5

PolarNik [594]

Answer:

1.4953

Step-by-step explanation:

You will need to break down 4.5

4√5

1.4953

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2 years ago

Can someone explain to me how to do this

Otrada [13]

Angles on a straight line add up to 180°, so:

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3 years ago

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3 years ago

Which number is a composite number?<br> A:17<br> B:37<br> C:13<br> D:63

tankabanditka [31]

Answer:

D. 63

Step-by-step explanation:

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3 years ago

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If 2^n + 1 is an odd prime for some integer n, prove that n is a power of 2. (H

vovikov84 [41]

Step-by-step explanation:

We will prove by contradiction. Assume that $2^n + 1$ is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that $p\mid n$ . Then, for some integer $k\geq 1$ ,

$n=p\times k.$

Therefore

$2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p.$

Here we will use the formula for the sum of odd powers, which states that, for $a,b\in \mathbb{R}$ and an odd positive number $n$ ,

$a^n+b^n=(a+b)(a^{n-1}-a^{n-2}b+a^{n-3}b^2-...+b^{n-1})$

Applying this formula in 1) we obtain that

$2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p=(2^k+1)(2^{k(p-1)}-2^{k(p-2)}+...-2^{k}+1)$ .

Then, as $2^k+1>1$ we have that $2^n+1$ is not a prime number, which is a contradiction.

In conclusion, if $2^n+1$ is an odd prime, then n must be a power of 2.

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3 years ago