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oksano4ka [1.4K]
2 years ago
6

Which of the following equations has an infinite number of

Mathematics
1 answer:
love history [14]2 years ago
6 0

The following equation has infinite many solutions

3(2x+1)=2(1+3x)+1

Step-by-step explanation:

An equation has infinite solutions if there is same constant on both sides of the equation.

We will check each equation one by one to find the equation with infinite solutions.

So,

<u>3(2x+1)=2(1+3x)+1</u>

3(2x+1)=2(1+3x)+1\\6x+3 = 2+6x+1\\6x +3 = 6x +3\\6x-6x+3 = 3\\3 = 3

<u>3(2x+1)=2(1+3x)-1</u>

3(2x+1)=2(1+3x)-1\\6x+3 = 2+6x-1\\6x+3=1+6x\\6x-6x+3 = 1\\3 = 1

<u></u>

<u>3(2x-1)=2(1+3x)-1</u>

3(2x-1)=2(1+3x)-1\\6x-3 = 2+6x-1\\6x-3 = 1+6x\\6x-6x-3 = 1\\-3 = 1

<u></u>

<u>3(2x+1)=2(3+2x)-3​</u>

3(2x+1)=2(3+2x)-3​\\6x+3 = 6+4x-3\\6x+3 = 3+4x\\6x-4x+3 = 3\\2x+3 = 3

The following equation has infinite many solutions

3(2x+1)=2(1+3x)+1

Keywords: Solution of equation, Linear equation

Learn more about linear equation at:

  • brainly.com/question/12884373
  • brainly.com/question/12896802

#LearnwithBrainly

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What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.
Svetllana [295]

Answer:

The answer is

<h2>12.8 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B (4, 6) and K (–6, –2)

The distance is

|BK|  =  \sqrt{ ({4 + 6})^{2}  +  ({6 + 2})^{2} }  \\  =  \sqrt{ {10}^{2} +  {8}^{2}  }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{100 + 64}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{164}  \\  = 2 \sqrt{41}  \\  = 12.80

We have the final answer as

<h3>12.8 to the nearest tenth</h3>

Hope this helps you

5 0
3 years ago
Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this chang
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Answer:

lw/4

Step-by-step explanation:

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reduce the area of his rectangular garden by one-fourth

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= 1/4lw

What is another way to write this expression?

Another way to write the expression is

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3 0
3 years ago
Can some one help me pls
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3 years ago
What is the formula for the area A of a circle in terms of the radius r?​
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Step-by-step explanation:

5 0
2 years ago
Solve the system of equations 5x-2y=88 3x+4y=58 show all work
diamong [38]
The given equations are:

5x - 2y = 88
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Multiplying the 1st equation by 2, we get the new set of equations as:

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Adding the two equations, we get:

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5(18) - 2y = 88
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So, the solution of the equation is (18, 1)

6 0
3 years ago
Read 2 more answers
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