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dangina [55]
3 years ago
13

Frações Algébricas - 3* caso

D" id="TexFormula1" title="\frac{x+1}{2x-4} + \frac{x-1}{3x-6}" alt="\frac{x+1}{2x-4} + \frac{x-1}{3x-6}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

\dfrac{5x + 1}{6(x - 2)}

\dfrac{5x + 1}{6x - 12}

Step-by-step explanation:

Fatorizam-se os denominadores.

2x - 4 = 2(x - 2)

3x - 6 = 3(x - 2)

O minimo multiplo comum dos denominadores e

2(3)(x - 2)

\dfrac{x + 1}{2x - 4} + \dfrac{x - 1}{3x - 6} =

= \dfrac{3(x + 1)}{2(3)(x - 2)} + \dfrac{2(x - 1)}{2(3)(x - 2)}

= \dfrac{3(x + 1) + 2(x - 1)}{6(x - 2)}

= \dfrac{3x + 3 + 2x - 2)}{6(x - 2)}

= \dfrac{5x + 1}{6(x - 2)}

= \dfrac{5x + 1}{6x - 12}

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Degger [83]

Answer:

d= 2

Step-by-step explanation:

To find the common difference, take the second term and subtract the first

-2 - (-4)

-2+4 = 2

We add 2 each time

Lets check

Take the third term and subtract the second

0- -2

0+2 =2

The common difference is 2

3 0
3 years ago
Help me asap please!
sveta [45]

Answer:

Earths moon:

Scientific: 7.35x10^22

Standard:73500000000000000000000

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Mercury: 3.205x10^23

Venus 4.867x10^24

Jupiter 1.898x10^27

Saturn 5.683x10^26

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I hope this helps



4 0
3 years ago
Helpppppp i give you 98 points !!!!!!!!!!!!Using the distributive property to find the product (y−4x)(y2+4y+16) results in a pol
Marina CMI [18]

Answer:

16

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

y(y² + 4y + 16) - 4x(y² + 4y + 16) ← distribute both parenthesis

= y³ + 4y² + 16y - 4xy² - 16xy - 64x

Compare - axy to - 16xy ⇒ a = 16

4 0
3 years ago
Read 2 more answers
Beth is buying a new washing machine that
Mazyrski [523]

Beth will pay $ 405.45 for washing machine

<em><u>Solution:</u></em>

Given that, Beth is buying a new washing machine that  costs $450

Cost price = $ 450

She has a 15% off coupon

So, she has a discount of 15 % of 450

<em><u>Let us find the discount rate</u></em>

Discount rate = 15 % of 450

Discount\ rate = 15 \% \times 450\\\\Discount\ rate = \frac{15}{100} \times 450 = 0.15 \times 450 = 67.5

Thus discount rate is $ 67.5

<em><u>Therefore, sales price is given as:</u></em>

sales price = cost price - discount rate

sales price = 450 - 67.5 = 382.5

Thus she pays $ 382.5

Now she must pay 6 % sales tax

Let us find the sales tax rate

Sales tax rate = 6 % of 382.5

sales\ tax\ rate = 6 \% \times 382.5\\\\sales\ tax\ rate = \frac{6}{100} \times 382.5 = 0.06 \times 382.5 = 22.95

Thus sales tax rate = $ 22.95

<em><u>How much will Beth pay  for the washing machine?</u></em>

Total amount paid by Beth = sales price + sales tax rate

Total amount paid by Beth = 382.5 + 22.95 = 405.45

Thus Beth will pay $ 405.45 for washing machine

7 0
3 years ago
If x varies directly with y and y is 10 when x is 8, what is x when y is 18?
swat32
Knowing that x varies directly with y, we know the basic skeleton of the equation is y = mx. 

To find m, plug in the known coordinate (8,10), where the x-coordinate is 8 and the y-coordinate is 10.
y=mx \\ 10=m8 \\ (10)/8=(8m)/8 \\ m= \frac{10}{8} = \frac{5}{4}

Then, plug in m to the equation to get y = (5/4)x.

Finally, plug in the y-coordinate 18 to the equation and solve for x!
y= \frac{5}{4}x \\ 18= \frac{5}{4}x \\  \frac{4}{5}(18)=( \frac{5}{4}x) \frac{4}{5} \\ x= \frac{4*18}{5}  \\  x= \frac{72}{5}

Your exact answer is x = 72/5. However, if your teacher prefers decimals, then x = 14.4

Hope this helps!
5 0
3 years ago
Read 2 more answers
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