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3 years ago

Which expression is equivalent to the following complex fraction?

Mathematics

2 answers:

Virty [35]3 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]3 years ago

3 0

Answer:

C is correct answer

Step-by-step explanation:

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8th grade math! If you know the answer to this problem please interact(:

jek_recluse [69]

Answer:

the third one (-2,1)

Step-by-step explanation:

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2 years ago

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A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio

Andrej [43]

Answer:

(a) $h = \frac{2400}{w}$

(b)300 Hours

(d)Reduced and halved.

(e) $w = \frac{2400}{h}$

Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

$h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}$

(b)If the student earns $8 an hour

w=$8

$\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours$

(c)When the wage per hour =$16

When w=$16

$\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours$

The number of hours reduced and is in fact halved.

(d)

$\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2} X \frac{2400}{w} =\frac{h}{2}$

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

$\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}$

8 0

3 years ago

Y−3=5(x−2) what is the slope?

boyakko [2]

Answer:

y=5(x-2)+3 or y= 5x+7

Step-by-step explanation:

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3 years ago

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Y is directly related to X, and Yis 81 when X is 27.<br> The constant of variation is

Arisa [49]

Answer:

Step-by-step explanation:

A direct variation is of the form

y = kx

We know x and y so we can find k

81 = k *27

Divide each side by 27

81/27 = 27k/27

3=k

The constant of variation is 3

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3 years ago

Al's awesome autos advertised a special sale on cars - Dealer cost plus 5%!! Jack and Margaret boughta luxury sedan for $23,727.

Marat540 [252]

05/23727.90=100/x
105x=23727.90x100
105x=2372790
(105x)/105=2372790/105
x=22598

dealers cost is $22,598

<span>the 105% is the 100% price of the car plus the 5% of that tax</span>

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3 years ago