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sergij07 [2.7K]
2 years ago
6

Classify the solutions of 1 over x plus 4, plus one half, equals 1 over x plus 4 as extraneous or non-extraneous.

Mathematics
2 answers:
lara [203]2 years ago
7 0

Answer:

x=-4 , Extraneous

Step-by-step explanation:

Given : Equation - \frac{1}{x+4}+ \frac{1}{2}=\frac{1}{x+4}

To classify : The given equation as extraneous or non-extraneous ?

Solution :  

An extraneous solution is one that we arrive at that will not work in the equation.

For rational equations, extraneous solutions are ones that will cause the denominator to be 0.

So, first we solve the given equation

\frac{1}{x+4}+ \frac{1}{2}=\frac{1}{x+4}

Taking LCM to LHS

\frac{2+x+4}{2(x+4)}=\frac{1}{x+4}

Cancel (x+4) both side,

\frac{x+6}{2}=1

Cross multiply,

x+6=2

x=-4

Now, if we put x=-4 in the equation the denominator is zero.

Therefore, It is an extraneous solution.

katrin2010 [14]2 years ago
3 0

X=-4 ; extraneous is your answer

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What is 6,010,499,999 rounded to the nearest billion?
aleksandr82 [10.1K]

Answer:

6000000000

Step-by-step explanation:

Given the following question:

6,010,499,999

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Your answer is "6000000000."

Hope this helps.

3 0
2 years ago
A group of preschoolers has 30 boys and 13 girls what is the ratio of boys to all children? ​
vekshin1

A group of preschoolers has 30 boys and 13 girls then the ratio of boys to all children would be 30:43.

What is a ratio?

A ratio in mathematics shows how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, and the orange-to-total fruit ratio is 8:14.

A group of preschoolers has 30 boys and 13 girls.

Total children will be = 30 + 13 = 43

          Ratio = number of boys/total children

                  = 30/43.

Hence, if A group of preschoolers has 30 boys and 13 girls then the ratio of boys to all children would be 30:43.

To learn more about the ratio, visit:

brainly.com/question/12024093

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7 0
1 year ago
California is hit every year by approximately 500 earthquakes that are large enough to be felt. However, those of destructive ma
Elanso [62]

Answer:

a) The probability that at least 3 months elapse before the first earthquake of destructive magnitude occurs is P=0.7788

b) The probability that at least 7 months elapsed before the first earthquake of destructive magnitude occurs knowing that 3 months have already elapsed is P=0.7165

Step-by-step explanation:

Tha most appropiate distribution to model the probability of this events is the exponential distribution.

The cumulative distribution function of the exponential distribution is given by:

P(t

The destructive earthquakes happen in average once a year. This can be expressed by the parameter λ=1/year.

We can express the probability of having a 3 month period (t=3/12=0.25) without destructive earthquakes as:

P(t>0.25)=1-P(t

Applying the memory-less property of the exponential distribution, in which the past events don't affect the future probabilities, the probability of having at least 7 months (t=0.58)  elapsed before the first earthquake given that 3 months have already elapsed, is the same as the probability of having 4 months elapsed before an earthquake.

P(t>0.58)/P(t>0.25)=P(t>0.33)

P(t>0.33)=1-P(t

8 0
3 years ago
What does infinite=/mean
givi [52]

Answer:

Infinite describes things that are endless

Step-by-step explanation:

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