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Inessa [10]
3 years ago
15

How do I simplify complex fractions?

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

Find the Least Common Denominator (LCD) of all the denominators in the complex fractions.

Multiply this LCD to the numerator and denominator of the complex fraction.

Simplify, if necessary.

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How do I factor x^4-5x^2+6?
Vilka [71]

Answer:

=(x^2-3)(x^2-2)

Step-by-step explanation:

So we have the expression:

x^4-5x^2+6

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

=u^2-5u+6

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

=u^2-2u-3u+6

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

=u(u-2)-3(u-2)

Grouping:

=(u-3)(u-2)

Now, substitute back the x² for u:

=(x^2-3)(x^2-2)

And this is the simplest form.

And we're done!

3 0
3 years ago
Shawn planned to run 4.2 miles every day, but yesterday he only had time to run 0.2 of that distance. How far did Shawn run yest
Fynjy0 [20]

Answer:

That would be 4.0

Step-by-step explanation:

if you have 4.2 take away 0.2 that would be 4.0

4.2

0.2

-__

4.0

Hope this helped regards

4 0
2 years ago
What is the solution of the system? Use the elimination method. 2x+y=20 6x?5y=12
Whitepunk [10]

Answer:

(22, - 24)

Step-by-step explanation:

Multiply the first equation by -5 to make the y's so you can add the up to zero.

-5(2x + y = 20)

-10x - 5y = -100  Add the second equation thn solve for x

<u> 6x + 5y = 12  </u>

-4x = -88  

x = 22

Plug 22 in for x in either equation

2x + y = 20

2 (22) + y = 20

44 + y = 20

y = -24

3 0
3 years ago
Read 2 more answers
1. Renting a bicycle at a local Bike shop costs $30 for the first day and $10 for each additional day.
Elza [17]
<span>(a) Create a chart of values and write an equation to find the total cost, C in terms of the number of days d.

C = 10d + 20

</span><span>(b) Use the equation you created in Part (a) to find the cost of renting a bike for 5 days.
</span>
C = 10d + 20
<span>C = 10(5) + 20= 50 + 20 = 70

$70 for 5 days

</span>
7 0
3 years ago
There are several houses for sale in a local neighborhood. One house is on the market for $105,000. Four houses are on sale for
abruzzese [7]
600,457 is correct answer
8 0
3 years ago
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