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Alexandra [31]
2 years ago
7

What is the simplified version of the expression [(5-1)^2+3^2]/(30 / 6)

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
4 0

Answer:

Exact form is \frac{16}{5} +\frac{3^2}{5}

the decimal form is 5

Step-by-step explanation:

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melisa1 [442]

Answer:

dividing by 100

Step-by-step explanation:

6 0
2 years ago
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
Plz help me will give brainlest I hate my <br>math teacher and the ones I need help with are 3-7
victus00 [196]
I can't do 3 and 4 for you but I can do 5 6 and 7.


5. Hotel B

6. Hotel B

7. Hotel A
-There are fewer values in the dataset
- In general, the values seem to increase in intervals of 20

3 0
3 years ago
Read 2 more answers
6 1/2 divided by 3/4
Naddik [55]
The answer is 8 2/3.
5 0
3 years ago
Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose al
wariber [46]

Answer: Choise A and Choise B.

Step-by-step explanation:

Given the following expression:

3x+3(x+y)

You can simplify it in order to find equivalent expressions.

Appying the Distributive Property, you get:

3x+(3)(x)+(y)(3)=3x+3x+3y

So:

1. If you add the like terms, you get this equivalent expression:

3x+3x+3y=6x+3y

2. But if you factor out 3, you get the following equivalent expression:

3x+3x+3y=3(x+x+y)

Therefore, the expression shown in Choice A and Choise B are equivalents to the expression 3x+3(x+y)

6 0
3 years ago
Read 2 more answers
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