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3 years ago

Determine whether y varies directly with x in the equation 6x − 3 = 2y − 3. If so, what is the constant of variation?

Mathematics

1 answer:

Over [174]3 years ago

7 0

Answer:

I am pretty sure it is 3

Step-by-step explanation:

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REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even inte

san4es73 [151]

Answer:

First Integer = 16

Second Integer = 18

Third integer = 20

Step-by-step explanation:

An even integer is represented by 2n

Where n is any integer

Let :

First Integer = 2n - 2

Second Integer = 2n

Third integer = 2n + 2

The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2

= 2n + 2n + 2n - 2 + 2 = 54

= 6n = 54

n = 54/6

n = 9

First Integer = 2n - 2 = 2(9) - 2

= 16

Second Integer = 2n = 2(9)

= 18

Third integer = 2n + 2 = 2(9) + 2

= 20

8 0

4 years ago

In New York State's Quick Draw lottery, players choose between one and ten numbers that range from 1 1 to 80 . 80. A total of 20

amid [387]

Answer:

Step-by-step explanation:

7 0

3 years ago

Help pls any one pls fast

marta [7]

Answer:

p=106

Step-by-step explanation:

p and 106 are corresponding so they are =

5 0

1 year ago

How do you do this question?

katovenus [111]

<h3>4 Answers: A, C, E, and F</h3>

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Explanation:

Choice A is true assuming we have $a_n = (-1)^n*b_n$

In this case, $a_n = (-1)^n*\frac{1}{\sqrt{n}}$ and $b_n = \frac{1}{\sqrt{n}}$

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Choice B is false. See choice A above.

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Choice C is true. The sequence $\{b_n\}$ is decreasing. As n gets larger, $b_n$ gets smaller. This is because the denominator is growing larger with the numerator held constant.

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Choice D is false. This contradicts choice C.

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Choice E is true since the denominator is growing forever

This is similar to $\displaystyle \lim_{n \to \infty} \frac{1}{n} = 0$

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Choice F is true due to choices C and E being true.

--------

Choice G is false because it contradicts choice F.

8 0

4 years ago

Which polynomial correctly combines the like terms and puts the given polynomial in standard form? -5x^3y^3+8x^4y^2-xy^5-2x^2y^4

victus00 [196]

Given:

The polynomial is:

$-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5$

To find:

The simplified form of the given polynomial in standard form.

Solution:

We have,

$-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5$

Combining the like terms, we get

$=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)$

$=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5$

Now, rewrite this polynomial in standard form.

$=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5$

Therefore, the required polynomial in standard form is $8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5$ .

8 0

3 years ago