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3 years ago

Is 3x+y=12 linear or nonlinear

Mathematics

1 answer:

TEA [102]3 years ago

5 0

Answer: It is linear

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Rachel and her friends are making necklaces out of beads and straws. They plan to use 12 beads and 5 straws for each necklace. T

bagirrra123 [75]

Answer:

225 necklaces.

Step-by-step explanation:

Assuming that they have the necessary amount of straws to match the beads then we can use the following simple equation to solve this problem.

t = b/12 ... where t is the total amount of necklaces and b is the number of beads you have

t = 2700 / 12

225 necklaces.

For 225 necklaces you would also need 1125 straws since each necklace requires 5 straws to be fully made. Therefore if you have this amount you should not run into any problems.

3 0

4 years ago

Using principle of mathematical induction prove that 6^-1 divisble by 5 .

salantis [7]

I suppose the claim is $5 \mid 6^n - 1$ for $n\in\Bbb N$ .

When $n=1$ , we have $6^1 - 1 = 6 - 1 = 5$ , and of course 5 divides 5.

Assume the claim holds for $n=k$ , that $5 \mid 6^k - 1$ . We want to use this to show it holds for $n=k+1$ , that $5 \mid 6^{k+1} - 1$ .

We have

$6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5$

Since $5 \mid 6^k - 1$ , we can write $6^k - 1 = 5\ell$ for some integer $\ell$ . Then

$6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)$

which is clearly divisible by 5. QED

5 0

2 years ago

Simplify I need the answer please

otez555 [7]

Answer:

The second is the answer

Step-by-step explanation:

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4 years ago

When is the sum of two negative mixed numbers an integer

Rasek [7]

Sum of two negatives is a positive

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4 years ago

Find the y-intercept and interpret it.

Soloha48 [4]

Answer:

from what diagram

Step-by-step explanation:

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3 years ago