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dybincka [34]
3 years ago
5

What is the extraneous solution?

Mathematics
1 answer:
8_murik_8 [283]3 years ago
8 0
<h3>Answer:</h3>

  x = 1

<h3>Step-by-step explanation:</h3>

<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.

The rational expression reduces to -1 (for x≠1), which makes the equation ...

  1 = 1/x

The only solution to this is x=1, which is specifically disallowed.

___

If you subtract the right side, the equation becomes ...

  ((-x+1)(x) +2(x)(x -1) -(x -1))/(x -1) = 0

  (-x^2 +x +2x^2 -2x -x +1)/(x -1) = 0 . . . . eliminate parentheses in the numerator

  (x^2 -2x +1)/(x -1) = 0 . . . . . . . . . . . . . . . collect terms

  (x -1)^2/(x -1) = 0 . . . . . . . . . . . . . . . . . . . factor

This is undefined for the only value of x that could possibly be a solution, x=1.

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Hope this helped! :)

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3 years ago
Identify a common factor (other than 1) of the terms in the expression −7x+21
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Answer:

Step-by-step explanation:

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3 years ago
Read 2 more answers
Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis. Which congruency statement is true?
lesya [120]

The congruency statement which is true among the answer choices is;

  • On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
  • Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

<h3>Which congruency statement is true?</h3>

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

  • On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
  • Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.

Read more on triangle congruence;

brainly.com/question/2102943

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3 0
2 years ago
The local hamburger restaurant is famous for how quickly they can assemble a burger. The restaurant advertises that its constant
melisa1 [442]

The gievn equation is ,

t=11.3h\ldots(1)

where t is the time in seconds and h is the no.of hamburgers assembled.

put h = 2 in equation (1).

\begin{gathered} t=11.3\text{ (2)} \\ t=22.6 \end{gathered}

blank A assembles 2 hamburges in 22.6 seconds.

put h = 3 in equation (1)

\begin{gathered} t=11.3(3) \\ t=33.9 \end{gathered}

blank B assembles 3 hamburgers in 33.9 seconds.

put h = 5 in equation (1)

\begin{gathered} t=11.3(5) \\ t=56.5 \end{gathered}

blank C assembles 5 hamburgers in 56.5 seconds.

put h = 8 in equation (1)

\begin{gathered} t=11.3(8) \\ t=90.4 \end{gathered}

blank D assembles 8 hamburgers in 90.4 seconds.

3 0
1 year ago
A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were r
fomenos

Answer: A.

H_0:p=0.12\\\\H_a:p

Step-by-step explanation:

Null hypothesis(H_0) : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis (H_a): A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process<em> reduces </em>the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

H_0:p=0.12\\\\H_a:p

8 0
3 years ago
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