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4 years ago

Solve the equation for numbers 6 and 7

Mathematics

1 answer:

serg [7]4 years ago

5 0

Answer:

Question 6: x = 5/2

Question 7: b= 6

Step-by-step explanation:

Question 6:

Given that:

-2/5x + 3 = 2/3x + 1/3

Taking variables (terms with x) on left and constants on right side

Signs of transferred terms will be changed

-2/5x -2/3x = 1/3 - 3

Taking LCM on both sides

3/3*-2/5x - 2/3x*5/5 = 1/3 - 3*3/3

-6x/15 -10x/15 = (1-9)/3

-16x/15 = -8/3

Multiplying both sides by -15/16

-16x/15 * -15/16 = -8/3 * -15/16

"-" sign when multiplied by "-" will give positive
3 will be cancelled by 15 giving 5
8 will be cancelled by 16 giving 2

x = 5/2

Question 7:

-2.6b + 4 = 0.9b - 17

Taking variables (terms with x) on left and constants on right side

Signs of transferred terms will be changed

-2.6b -0.9b = -17 -4

-3.5b = -21

Dividing both sides by -3.5

b = -21/-3.5

"-" sign will be cancelled out

b = 6

i hope it will help you!

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Which equation below would result in the highest earnings, y, when the number of hours worked, x, is 20?

BartSMP [9]

Answer:

(B)

Step-by-step explanation:

(A)The given equation is:

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3 years ago

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 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

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