Can you please help me with this question

A student solves the following equation for all possible values of x:

bekas [8.4K]

The correct answer is: 
C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Explanation: 
To solve this rational equation, we cross multiply: 
8*(x-4)=2*(x+2).

Using the distributive property, we have 
8*x-8*4=2*x+2*2;
8x-32=2x+4.

Subtract 2x from each side: 
8x-32-2x=2x+4-2x;
6x-32=4.

Add 32 to each side: 
6x-32+32=4+32;
6x=36.

Divide both sides by 6:
 $\frac{6x}{6}$ = $\frac{36}{6}$ ;
x=6.

Extraneous solutions are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).

6 0

2 years ago

Read 2 more answers

PLEASE HELP 100 POINTS 100 100 100 PLEASSSSE

Oksi-84 [34.3K]

Answer:

b

Step-by-step explanation:

5 0

2 years ago

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What is the some of the counting numbers from 1 to 80?

kumpel [21]

There is a formula for adding consecutive numbers:
total = n*(n+1)/2
total = 80*(81)/2
total = 3,240

7 0

3 years ago

Need help ASAP please--about estimate. which answer is correct. Please give me an opinion. Three students were asked to use esti

tensa zangetsu [6.8K]

B, if I’m wrong then it’s C.

6 0

2 years ago

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,

olga_2 [115]

Answer:

The estimated value for the population standard deviation is $3,750.

Step-by-step explanation:

The interval within which the annual starting salaries for college graduates with degrees in business administration are generally expected to be is $30,000 and $45,000.

The standard deviation is the measure of dispersion or spread. And so is the range of the data.

Both the measures are used to determine how spread out the data is from the mean.

The relationship between standard deviation and range is not defined but according to the rule of thumb the standard deviation is one-fourth of the range of the data.

The formula of range is:

$Range=Maximum-Minimum$

Compute the range of the data of starting salaries of college graduates with degrees in business administration as follows:

$Range=Maximum-Minimum\\=45000-30000\\=15000$

The range of the data is, $15,000.

Compute the estimated value of the standard deviation as follows:

$SD=\frac{Range}{4}=\frac{15000}{4}=3750$

Thus, the estimated value for the population standard deviation is $3,750.

4 0

3 years ago