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jenyasd209 [6]
2 years ago
5

Solve 4 over x plus 2 equals 2 over x for x and determine if the solution is extraneous or not.

Mathematics
2 answers:
zubka84 [21]2 years ago
7 0

Answer:

The solution is x=2 and non-extraneous.

D is correct.

Step-by-step explanation:

Given: \dfrac{4}{x+2}=\dfrac{2}{x}

We need to solve for x.

Here we have rational expression both sides and to solve for x.

\dfrac{4}{x+2}=\dfrac{2}{x}

Cross multiply both sides

4x=2(x+2)

4x=2x+4

4x-2x=4

2x=4

x=2

Now, we will check the extraneous solution. Put x=2 into original equation.

\dfrac{4}{2+2}=\dfrac{2}{2}

\dfrac{4}{4}=\dfrac{2}{2}

1=1

Correct solution.

Hence, The solution is x=2 and non-extraneous.

shtirl [24]2 years ago
5 0
X = 2, not extraneous.
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Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight
Alex

Answer:

$919.98

Step-by-step explanation:

To solve using a financial calculator do

N=8

I/Y=10

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To do by hand find the present value of the interst payments

85*(1-(1/1.1)^8)

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466.507+453.4678= 919.98

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A bag contains 32 red​ blocks, 47 green​ blocks, 21 yellow​ blocks, and 25 purple blocks. You pick one block from the bag at ran
Studentka2010 [4]

Answer:

P(green or purple​) = 0.576

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

32 + 47 + 21 + 25 = 125 blocks.

Of those, 47 + 25 = 72 are green of purple

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here. I don't know if its right but i hope it is.

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Read 2 more answers
Need help with this question, thank you in advance!
blondinia [14]

Answer:

arc RP = 84 degrees

Step-by-step explanation:

If the angle NPQ is 102 degrees, we can find the angle NPM:

NPM + NPQ = 180

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Now, with the triangle NPM, we can find the angle MNP:

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