3 years ago

How do solve this problem

1 answer:

8 0

Multiply the first equation by 3
21x+15y=-6

Add this to the second equation
21x+15y=-6
-21x-15y=6
0+0=0

True

Final answer: Infinitely Many Solutions (they are coinciding lines)

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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

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2 years ago

Which function is equivalent to y=3(x+2)^2+7

Ilia_Sergeevich [38]

3x+45 most u can simplify it

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3 years ago

Mary took a math test and she got four questions incorrect and 21 correct. What percent did answer correctly?

AnnZ [28]

Answer:

84%

Step-by-step explanation:

21 correct + 4 wrong = 25 questions in total

$\frac{21}{25}$ x 4 = $\frac{84}{100}$

$\frac{84}{100}$ = 0.84

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3 years ago

Solve f (x)=3x+6 f(300)

sveta [45]

Answer:

$f(300)=906$

Step-by-step explanation:

$f(x)=3x+6\\\\f(300)=3(300)+6\\\\f(300)=900+6\\\\\boxed{f(300)=906}$

Hope this helps.

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3 years ago

What is 22,000,000 in word form

Vlad1618 [11]

It is twenty-two million

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3 years ago

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