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zvonat [6]
3 years ago
9

Select the correct answer. What is the correct expansion of the binomial (x + y)5? A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5 B.

x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y4 C. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5 D. x5 + 5x4y4 + 10x3y3 + 10x2y2 + 5xy + y5
Mathematics
2 answers:
hoa [83]3 years ago
8 0

Answer: C

Step-by-step explanation:

To expand binomials there is a “newton metode”

(X+Y)^5 will have 6 terms (5+1)

In the first one x is goning to be raised to the fifth power, in the esconde to the forth, and its going to decrese one by one until the last one, X^0=1

On the other hand, Y it’s going to be Y^0in the first term, and Y^5 in the 6th

The coefficients are going to be taken from the Tartaglia triangle

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

It has ones on both sides and then every number is the sum of the two on it.

Our binomial takes the coefficients of the fifth row

Then

We

(X+Y)^5 = X^5 + 5 X^4 Y + 10 X^3 Y^2 + 10 X^2 Y^3 + 5 X Y^4 + Y^5

Naily [24]3 years ago
7 0
<h3>Answer:</h3>

  C.  x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5

<h3>Step-by-step explanation:</h3>

Wrong terms are bolded:

A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5

B. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y4

C. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5

D. x5 + 5x4y4 + 10x3y3 + 10x2y2 + 5xy + y5

The sum of exponents should always be 5.

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Answer:

2/3 in 3/4 of an hour. that would mean u an extra 1/4 of an hour would give Katie the time to finish up the project

Step-by-step explanation:

Katie, take no breaks when u can get this done in an hour. don't be lazy

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2 years ago
Pat listed all the numbers that have 15 as a multiple. Write the numbers in pats list
tiny-mole [99]
I believe the answer is 1,3,5,15

8 0
3 years ago
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Find the sum:(11x+3)+(x+-5)
VikaD [51]

Answer:

12−2

Step-by-step explanation:

Simplify,

(11+3)+(−5)

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Since we can't go any further, the solution is,

12−2

6 0
3 years ago
For a random sample of 50 measurements on the breaking strength of cotton threads, the mean breaking strength was found to be 21
Vikentia [17]

Answer:

205.81 to 214.19

Step-by-step explanation:

Sample size (n) = 50

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The confidence interval for the true mean breaking strength of cotton threads of this type, at a 90% confidence level, is given by:

CI=X \pm Z*\frac{s}{\sqrt n}\\CI=210 \pm 1.645*\frac{18}{\sqrt 50}\\CI = 210 \pm 4.19\\CI =205.81\ to\ 214.19

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6 0
3 years ago
Which of the following statements are true of solving equations?
katrin2010 [14]

we will check each options

option-A:

For solving any equations , we always isolate variables on anyone side

For exp: x+7=1

so, this is TRUE

option-B:

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For exp:

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If we use addition , we could easily solve for x and y

so, this is TRUE

option-C:

We always solve problems using conventional method

we do not guess

so, this is  FALSE

option-D:

We often reverse order of operation

For exp:

(x-2)^2-3=0

so, this is TRUE

option-E:

For linear equations , we always get one solution , infinite solutions or no solutions

so, this is FALSE

5 0
3 years ago
Read 2 more answers
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