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KengaRu [80]
2 years ago
14

What is the sum of the rational expressions below? 3x-1/2x + 3x/x-1

Mathematics
2 answers:
Evgen [1.6K]2 years ago
7 0

Answer:

\frac{9x^2-4x+1}{2x(x-1)}

Step-by-step explanation:

The given expression is:

\frac{3x-1}{2x}+\frac{3x}{x-1}

Simplifying the above expression, we get

\frac{(3x-1)(x-1)+3x(2x)}{2x(x-1)}

\frac{3x^2-x-3x+1+6x^2}{2x(x-1)}

\frac{9x^2-4x+1}{2x(x-1)}

which is the required sum of the given rational expression.

Elden [556K]2 years ago
6 0
In order to find the sum of the given rational expressions above, here are the steps.
Firstly, you need to find the LCM of the least common denominator.
So it would look like this: 
<span>3x-1 +   3x            (3x-1)(x-1) + (2x)(3x)
------    -------    =    ---------------------------
  2x       x-1                  2x(x-1)

3x^2-4x+1+6x^2
----------------------
    2x(x-1)
And the final result would be this:
9x^2-4x+1
--------------
  2x(x-1)

</span>9x^2-4x+1
--------------
  2x^2-2x
<span>
Hope that this is the answer that you are looking for. 

</span>
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Answer:

<em><u>The final atmospheric pressure is 5.19 · 10⁴ Pa</u></em>

Step-by-step explanation:

Assuming that the temperature of the air does not change, we can use Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. In formula,

pV = const.

where p is the gas pressure and V is the volume

The equation can also be rewritten as

p₁ V₁ = p₂ V₂

where in our problem we have:

p₁ = 1.03 · 10₅ Pa is the initial pressure (the atmospheric pressure at sea level)

V₁ = 90.0L is the initial volume

p₂ is the final pressure

V₂ = 175.0L is the final volume

Solving the equation for p2, we find the final pressure:

p₂ = p₁ v₁ divided by V₂ = (1.01 · 10⁵)(90.0) divided by 175.0 = 5.19 · 10⁴ Pa

8 0
2 years ago
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Barrett works at an ice cream shop. The function f(x) represents the amount of money PLEASE HELP!!!!!!!!!!!!!
oee [108]

Answer:

f(g(x))=6x^3+4, it is the amount of money earned per number of hours of work, x

Step-by-step explanation:

Here we have two functions:

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Then we have the function

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Here we want to find the composite function

f(g(x))

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Substituting g(x) into the x of f(x), we find:

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2 years ago
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DerKrebs [107]

Answer:

see below

Step-by-step explanation:

f(x) = −16x^2 + 24x + 16

Set equal to zero to find the x intercepts

0  = −16x^2 + 24x + 16

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0 = -8(2x^2 -3x-2)

Factor

0 = -8(2x +1) (x-2)

Using the zero product property

2x+1 =0    x-2 =0

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mojhsa [17]
To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:

let x cost of small pizzas
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x + y + 3z = 15

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Solving for x, y and z, we will have:

x = $ 5
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2 years ago
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