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VikaD [51]
3 years ago
12

Mary multiplied a number by -3. When she added the result to 6, she got 12. What is her number?

Mathematics
1 answer:
ipn [44]3 years ago
5 0
X×-3+6=12, -3×=12-6, -3x=6 |÷-3, x=-2
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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
3,108 + 5,468 6987 +907
svetlana [45]

Answer:16470

Step-by-step explanation: I don’t know if there all adding together cause there’s not much information

5 0
3 years ago
Read 2 more answers
Julian calculates the volume of a rectangular prism with the dimensions 3/4ft by 4 feet by 1/2 ft. His work is shown here.
lbvjy [14]

Answer:

He multiplied the denominators incorrectly

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

V=LWH

we have

L=3/4 ft

W=5/1 ft

H=1/2

substitute

V=(3/4)(5/1)(1/2)= 3x5x1=    15

                           ₋₋₋₋₋₋₋₋    ₋₋₋₋ ft³

                           4x1x2=    8

                       

therefore

He multiplied the denominators incorrectly

7 0
2 years ago
PLEASE HELP! (WILL GIVE BRAINLIEST FOR RIGHT ANSWER)
dimaraw [331]

Answer:

-41.29*  10^-7

Step-by-step explanation:

You would change the order of the numbers by multiplying -4.44 and 9.3 together and multiply 10^-7 and 10^0. Which would now look like this:

(-4.44* 9.3)* (10^-7* 10^0)

-4.44* 9.3= -41.292 and 10^-7* 10^0= 1* 10^-7. So now the equation would look like this:

-41.292* 10^-7

Then round -41.292 to 2 decimal places which would be -41.29.

-41.29*  10^-7

That's the answer. I hope this helps!

6 0
3 years ago
How should I do this question
Ivanshal [37]

Answer:

( 11   -6)

( -5   6 )


Step-by-step explanation:

Multiply the first row of N by first column of M. This will give the first  element in top row of the answer :-

-3*-2 + 1*5 =  11

Then multiply the first row in N by the second column of M to give the second element of the top row.

-3*0 + 1*-6 =   -6

Then do a similar process with the second row in N.

8 0
3 years ago
Read 2 more answers
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