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Elena-2011 [213]
3 years ago
7

The value of y varies directly with x. If x = 6, then y = 72. What is the value of x when y = 108 ?

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0

Answer: The Answer is: 9

Step-by-step explanation:

I dont know what type of level this is but I got it some how. If its Pre-Algerba you are good cause I am in that math.

What you will need to do is propotions

6/x = 72/108

You have to cross mulitply to find the value of x

Then you would have to multiply 108 x 6= 648

After you would have to cross multiply 72x

You divide 648= 72x and you will get your answer which is 9.

I hope this helped. :)

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What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5
AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\&#10;(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\&#10;(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7

Thus, Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0
2 years ago
How to solve 3x^2+22x=-35 by factoring
Zepler [3.9K]

Answer:

x = -7/3 or -5

Step-by-step explanation:

3x^2 + 22x = -35

3x^2 + 22x + 35 = 0

(3x + 7) (x + 5) = 0

so for 3x+7:

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So for x + 5:

x + 5 = 0

x = -5

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2 years ago
What's the answer to this??
Evgen [1.6K]
The variable "x" equals 7
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2 years ago
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