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3 years ago

Simplify (6 + 5x) + (7x + 3)

1 answer:

8 0

Combine Like Terms:

=6+5x+7x+3

=(5x+7x)+(6+3)

=12x+9

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15. Solve for the specified variable: - х + 7 8 - 10; for y.

Andreyy89

Answer:

$y=80-\frac{8x}{7}$

Step-by-step explanation:

15). Given equation is,

$\frac{x}{7}+ \frac{y}{8}=10$

Multiply the equation by 8,

$8(\frac{x}{7}+ \frac{y}{8})=10\times 8$

$\frac{8x}{7}+y=80$

Subtract $\frac{8x}{7}$ from both the sides of the equation,

$\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}$

$y=80-\frac{8x}{7}$

Therefore, value of the variable 'y' will be,

$y=80-\frac{8x}{7}$

3 0

3 years ago

Please help solve 11x+10>=150

fgiga [73]

Answer:

12.7272

Step-by-step explanation:

subtract 10 on both sides

divide by 11 on both sides 11/11>140/11

4 0

2 years ago

Read 2 more answers

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

5 0

2 years ago

Find the trig ratio. Reduce to lowest terms. 10 24 sin A =

Luba_88 [7]

The value of sin A is equal to $\frac{5}{13}.$

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem ( $hypotenuse^2=(side_1)^2+(side_2)^2$ ), it is possible finding angles or sides.