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2 years ago

Which expression is equivalent to the following complex fraction?

Mathematics

2 answers:

Virty [35]2 years ago

7 0

Answer:

$\dfrac{-4x+7}{2(x-2)}$

Step-by-step explanation:

Write the terms of numerator and denominator using a common denominator.

$\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}}=\boxed{\dfrac{-4x+7}{2(x-2)}}$

Arte-miy333 [17]2 years ago

3 0

Answer:

C is correct answer

Step-by-step explanation:

You might be interested in

Solve 5x^2 − 3x + 17 = 9.

Vedmedyk [2.9K]

Answer:

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

Step-by-step explanation:

To solve:

5x² − 3x + 17 = 9

⇒ 5x² − 3x + 17 - 9 = 0

⇒ 5x² − 3x + 8 = 0

Now,

the roots of the equation in the form ax² + bx + c = 0 is given as:

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

in the above given equation

a = 5

b = -3

c = 8

therefore,

x = $\frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}$

x = $\frac{3\pm\sqrt{9-160}}{10}$

x = $\frac{3+\sqrt{-151}}{10}$ and x = $\frac{3-\sqrt{-151}}{10}$

x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

here i = √(-1)

Hence,

The roots of the equation are x = $\frac{3+\sqrt{151}i}{10}$ and x = $\frac{3-\sqrt{151}i}{10}$

and there are no real roots of the equation given above

7 0

2 years ago

8. A cellphone company charges $29.99 per month for the first 500 minutes of calls and $0.30 a minute for any calls over the 500

scZoUnD [109]

Answer:

C) $64.49

Step-by-step explanation:

let 'x' = #minutes

cost = 29.99 + 0.3(x-500)

= 29.99 + .3(115)

= 29.99 + 34.50

= $64.49

8 0

2 years ago

Please help me i can’t get this one right. someone help me please if you know how to do this.

Sati [7]

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

4 0

2 years ago

Please don't steal points I need help :(

blagie [28]

Answer:

I think its C

Step-by-step explanation:

3 0

2 years ago

Elena is playing a dice game with her father. She will win if she DOES NOT roll a 1, 3, or 6. Find the probability that Elana wi

EleoNora [17]

Answer:

The probability that she was on her next roll is 1/2

Step-by-step explanation:

If she does not roll 1,3 or 6, she wins

So if she rolls 2,4 and 6 , she wins

The probability of rolling each is 1/6 each

So the probability of rolling any of the three will be:

1/6 + 1/6 + 1/6 = 3/6 = 1/2

4 0

2 years ago