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rusak2 [61]
3 years ago
14

4/x-1+6/x+1=-12/x^2-1

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0
\frac{4}{x - 1} + \frac{6}{x + 1} = \frac{-12}{x^{2} - 1}

\frac{4(x + 1)}{(x - 1)(x + 1)} + \frac{6(x - 1)}{(x - 1)(x + 1)} = \frac{-12}{x^{2} - 1}

\frac{4x + 4}{x^{2} - 1} + \frac{6x - 6}{x^{2} - 1} = \frac{-12}{x^{2} - 1}

\frac{10x - 2}{x^{2} - 1} = \frac{-12}{x^{2} - 1}

(10x - 2)(x^{2} - 1) = -12(x^{2} - 1)
10x^{3} - 10x^{2} - 2x^{2} + 2 = -12(x^{2}) + 12(1)
10x^{3} - 12x^{2} + 2 = -12x^{2} + 12
10x^{3} - 12x^{2} + 12x^{2} + 2 = -12x^{2} + 12x^{2} + 12
10x^{3} + 2 - 2 = 12 - 2
\frac{10x^{3}}{10} = \frac{10}{10}

x^{3} = 1
x = 1
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Solve the inequality x+1<3/4 and write the solution in interval notation.
Darya [45]

The solution to the inequality in interval form is (-∞, -1/4)

<h3>Inequality expressions</h3>

Inequality are expressions not separates by an equal sign. Given the inequality below;

x+1<3/4

Subtract 1 from both sides to have;

x + 1 - 1 < 3/4 - 1

x < 3/4 - 1

x < (3-4)/4

x < -1/4

Hence the solution to the inequality in interval form is (-∞, -1/4)

Learn more on inequality here: brainly.com/question/24372553

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3 0
1 year ago
Adult tickets to an amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult and 1 chi
Alex787 [66]

Henson's cost: 3x+y=203

Garcia's cost: 2x+3y=189

Step-by-step explanation:

Given,

Cost of each adult ticket = x dollars

Cost of 3 adult ticket = 3x

Cost of 2 adult ticket = 2x

Cost of each child ticket = y dollar

Cost of 3 child ticket = 3x

Henson's cost;

3 adult tickets + 1 child ticket = $203

3x+y=203

Garcia's cost;

2 adult tickets + 3 child tickets = $189

2x+3y=189

Henson's cost: 3x+y=203

Garcia's cost: 2x+3y=189

Keywords: linear equation, addition

Learn more about addition at:

  • brainly.com/question/10552347
  • brainly.com/question/10570041

#LearnwithBrainly

7 0
3 years ago
Given h(x)=-x+5, solve for x when h(x)=3
mars1129 [50]

Step-by-step explanation:

3=-x+5

x=2

................

7 0
3 years ago
Please could someone help!
melisa1 [442]

Answer:

<h2>32.16 \: grams</h2>

solution,

mass = volume \times density \\  \:  \:  \:  \:  \:  \:  \:  \:  =  2.4 \:   \frac{g}{ {cm}^{3} }   \times 13.4 \:  {cm}^{3}  \\  \:  \:  \:  \:  \:  \:  \:  \:  = 2.4 \times 13.4 \: \: grams  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 32.16 \: \: grams

Hope this helps...

Good luck on your assignment..

8 0
3 years ago
Find each percent decrease. round to the nearest percent. from $16 to $4​
White raven [17]

Answer:

I think the answer would be 40%

Step-by-step explanation:

U would do 16 divided by 4 and get 4 and a 0 then bam I have ur answe.

8 0
3 years ago
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