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Hitman42 [59]
4 years ago
12

Solve for x. −8 = 2/3x A) −6 B) −9 C) −12 D) −24

Mathematics
1 answer:
Reil [10]4 years ago
7 0

Answer:

C. -12

Step-by-step explanation:

divide each side by 2/3

2/3x ÷ 2/3 = x

-8 ÷ 2/3 = -12

x = -12

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Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
A car travels 54.9 miles in an hour.If the car continues at theach same speed for 12 hrs how many will it travel
dimaraw [331]

Answer:

658.8 miles

Step-by-step explanation:

first divide 54.9 by 60. then multiply that by 12 times 60

5 0
3 years ago
Write all names that apply to 7/8
pogonyaev
Seven eighth, 7 over 8, 7/8, 0.875, 
5 0
3 years ago
Read 2 more answers
A group of neighbors is holding in end of summer block party they buy P packs of hot dogs with 8 hotdog buns in the each pack al
Lyrx [107]

Answer:

Packs of hotdogs = 7

Step-by-step explanation:

Let 1 pack is P

Hotdogs in 1 pack = 8

Total hotdogs= 56

Number of packs=?

We can say

8*P= 56

P= 56/8 = 7

4 0
3 years ago
PLEASE HELP!!!!!
gavmur [86]
Since the graph is a negative line, fix it so that it’s the positive line, make sure the line has the same rates
3 0
3 years ago
Read 2 more answers
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