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Karo-lina-s [1.5K]
3 years ago
6

Solve for x 3x+3/x-4 = 3x+2/x+4

Mathematics
2 answers:
Lerok [7]3 years ago
5 0

Answer:

here you go! with step by step so you can do it next time

VashaNatasha [74]3 years ago
3 0

Answer:

-7/8

Step-by-step explanation:

<em>cross </em><em>multiply</em><em> </em><em>first </em><em>then </em><em>expand </em><em>the </em><em>equations </em><em>when </em><em>you </em><em>cross</em><em> multiply</em><em> </em><em>it </em><em>will </em><em>be</em>

<em>(</em><em>3</em><em>x</em><em>+</em><em>3</em><em>)</em><em>(</em><em>x+</em><em>4</em><em>)</em><em>=</em><em>(</em><em>3</em><em>x</em><em>+</em><em>2</em><em>)</em><em>(</em><em>x-1)</em>

<em>3</em><em>x</em><em>(</em><em>x+</em><em>4</em><em>)</em><em>+</em><em>3</em><em>(</em><em>x+</em><em>4</em><em>)</em><em>=</em><em>3</em><em>x</em><em>(</em><em>x-1)</em><em>+</em><em>2</em><em>(</em><em>x-1)</em>

<em>3</em><em>x</em><em>²</em><em>+</em><em>1</em><em>2</em><em>x</em><em>+</em><em>3</em><em>x</em><em>+</em><em>1</em><em>2</em><em>=</em><em>3</em><em>x</em><em>²</em><em>-</em><em>3</em><em>x</em><em>+</em><em>2</em><em>x</em><em>-</em><em>2</em>

<em>3</em><em>x</em><em>²</em><em>+</em><em>1</em><em>5</em><em>x</em><em>+</em><em>1</em><em>2</em><em>=</em><em>3</em><em>x</em><em>²</em><em>-</em><em>x</em><em>-</em><em>2</em>

<em>3</em><em>x</em><em>²</em><em>-</em><em>3</em><em>x</em><em>²</em><em>+</em><em>1</em><em>5</em><em>x</em><em>+</em><em>x=</em><em>-</em><em>2</em><em>-</em><em>1</em><em>2</em>

<em>1</em><em>6</em><em>x</em><em>/</em><em>1</em><em>6</em><em>=</em><em>-</em><em>1</em><em>4</em><em>/</em><em>1</em><em>6</em>

<em>x=</em><em>-</em><em>1</em><em>4</em><em>/</em><em>1</em><em>6</em>

<em>simplified</em><em> </em><em>to</em>

<em>-</em><em>7</em><em>/</em><em>8</em>

<em>I </em><em>hope</em><em> this</em><em> helps</em><em> </em>

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Step-by-step explanation:

3w = 11 + 25

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w = 12

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The graph below shows the function f(x)=x-3/x^2-2x-3 which statement is true
Ugo [173]

Answer:

The correct option is A.

Step-by-step explanation:

Domain:

The expression in the denominator is x^2-2x-3

x² - 2x-3 ≠0

-3 = +1 -4

(x²-2x+1)-4 ≠0

(x²-2x+1)=(x-1)²

(x-1)² - (2)² ≠0

∴a²-b² =(a-b)(a+b)

(x-1-2)(x-1+2) ≠0

(x-3)(x+1) ≠0

x≠3 for all x≠ -1

So there is a hole at x=3 and an asymptote at x= -1, so Option B is wrong

Asymptote:

x-3/x^2-2x-3

We know that denominator is equal to (x-3)(x+1)

x-3/(x-3)(x+1)

x-3 will be cancelled out by x-3

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We have asymptote at x=-1 and hole at x=3, therefore the correct option is A....

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If p(x) = x2 – 1 and 4(x) = 5(x-1), which expression is equivalent to (p -9)(x)?
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Someone please be awesome and help me please :(
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Answer:

(x+\frac{b}{2a})^2+(\frac{4ac}{4a^2}-\frac{b^2}{4a^2})=0

(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}

x=\frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}

Step-by-step explanation:

x^2+\frac{b}{a}x+\frac{c}{a}=0

They wanted to complete the square so they took the thing in front of x and divided by 2 then squared.  Whatever you add in, you must take out.

x^2+\frac{b}{a}x+(\frac{b}{2a})^2+\frac{c}{a}-(\frac{b}{2a})^2=0

Now we are read to write that one part (the first three terms together) as a square:

(x+\frac{b}{2a})^2+\frac{c}{a}-(\frac{b}{2a})^2=0

I don't see this but what happens if we find a common denominator for those 2 terms after the square.  (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.

(x+\frac{b}{2a})^2+\frac{4ac}{4a^2}-\frac{b^2}{4a^2}=0

They put it in ( )

(x+\frac{b}{2a})^2+(\frac{4ac}{4a^2}-\frac{b^2}{4a^2})=0

I'm going to go ahead and combine those fractions now:

(x+\frac{b}{2a})^2+(\frac{-b^2+4ac}{4a^2})=0

I'm going to factor out a -1 in the second term ( the one in the second ( ) ):

(x+\frac{b}{2a})^2-(\frac{b^2-4ac}{4a^2})=0

Now I'm going to add (b^2-4ac)/(4a^2) on both sides:

(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}

I'm going to square root both sides to rid of the square on the x+b/(2a) part:

x+\frac{b}{2a}=\pm \sqrt{\frac{b^2-4ac}{4a^2}}

x+\frac{b}{2a}=\pm \frac{\sqrt{b^2-4ac}}{2a}

Now subtract b/(2a) on both sides:

x=\frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}

Combine the fractions (they have the same denominator):

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

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