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Anuta_ua [19.1K]
2 years ago
15

2x - x + 3x + 5 = 25Solve for X​

Mathematics
2 answers:
MakcuM [25]2 years ago
8 0

Answer:

<h3>The value of the unknown (x) is equal to 5</h3>

Step-by-step explanation:

To find the value of x, we follow these steps:

<em>To solve an equation that is not simplified, what we have to do first is simplify it.</em><em> </em><em>We have to group all the similar terms, in this case, there is only one unknown, so we will have to simplify that:</em>

\rm (2x - x) + 3x + 5 = 25 \\  \rm (x + 3x) + 5 = 25  \\ \rm 4x + 5 = 25

<em>Now when a term is adding, we must go to the other side of the equality to subtract from the other equal term</em><em> </em><em>In this case, +5 is adding, so we must go to the other side of the equal to do the opposite: Subtract this </em><em>to</em><em> 25</em><em>:</em>

\rm4x  = 25 - 5 \\  \rm 4x = 20

<em>Continuing with the opposite operations, we see that 4 multiplies the unknown, so we must go to the other side of the equal to divide 20/4, as follows:</em>

<em>\rm x =  \frac{20}{4}  \\ \boxed{ \:  \:  \:  \:  \:  \:  \rm x = 5 \:  \:  \:   \:  \: \: }</em>

So:

<h3>The value of the unknown (x) is equal to 5</h3>
postnew [5]2 years ago
7 0

Answer:

  • \bf x=5

Step-by-step explanation:

\bf 2x - x + 3x + 5 = 25

Combine like terms.

  • \bf 4x+5=25

Subtract 5 from both sides.

  • \bf 4x+5-5=25-5
  • \bf 4x=20

Divide both sides by 4.

  • \bf \cfrac{4x}{4}=\cfrac{20}{4}
  • \bf x=5
<h3><u>__________________</u></h3>
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I Need to find the Function Operations​
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Answer:

1) (f+g)(x)=2x^2+3x-6

2) (f-g)(x)=2x^2+x

3) (f \cdot g)(x)=2x^3-4x^2-9x+9

Step-by-step explanation:

So we have the two functions:

f(x)=2x^2+2x-3\text{ and } g(x)=x-3

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

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Add:

=2x^2+3x-6

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(f+g)(x)=2x^2+3x-6

2)

(f-g)(x) is the same to f(x)-g(x). So:

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Distribute:

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(f-g)(x)=2x^2+x

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

(f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)

Distribute:

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Distribute:

=(2x^3+2x^2-3x)+(-6x^2-6x+9)

Combine like terms:

=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)

Simplify:

=2x^3-4x^2-9x+9

So:

(f \cdot g)(x)=2x^3-4x^2-9x+9

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