1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BARSIC [14]
3 years ago
5

Two possible solutions of √11-2x=√x^2+4x+4 are –7 and 1. Which statement is true? A) Only x = –7 is an extraneous solution.

Mathematics
2 answers:
11111nata11111 [884]3 years ago
7 0

Answer:

Option D)Neither solution is extraneous.

Step-by-step explanation:

we have

\sqrt{11-2x}=\sqrt{x^{2}+4x+4}

we know that

two possible solutions are x=-7 and x=1

<u><em>Verify each solution</em></u>

Substitute each value of x in the expression above and interpret the results

1) For x=-7

\sqrt{11-2(-7)}=\sqrt{-7^{2}+4(-7)+4}

\sqrt{25}=\sqrt{25}

5=5 ----> is true

therefore

x=-7 is not a an extraneous solution

2) For x=1

\sqrt{11-2(1)}=\sqrt{1^{2}+4(1)+4}

\sqrt{9}=\sqrt{9}

3=3 ----> is true

therefore

x=1 is not a an extraneous solution

therefore

Neither solution is extraneous

solmaris [256]3 years ago
3 0

Answer:D

Step-by-step explanation:

You might be interested in
rectangle will have length 3n+ 6 and height 2n−1 inches, while the square will have side length n+ 2inches. Find the perimeter a
kifflom [539]

Answer:

Perimeter: 2(3x+6)+ 2(2x-4)

X=9

Step-by-step explanation:

In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:

Perimeter: 2(heights)+ 2(bases)

Perimeter: 2(3x+6)+ 2(2x-4)

IN order to solve for X we just have to insert the value of perimeter, which is 94:

Perimeter: 2(3x+6)+ 2(2x-4)

94=2(3x+6)+ 2(2x-4)

94= 6x+12+4x-8

94=10x+4

94-4=10x

x=90/10

x=9

So the value of x would be 9.

6 0
2 years ago
Solve this equation. 5n+7=7(n+1)-2n
9966 [12]
Distribute 7 to both n and 1

7(n + 1) = 7n + 7

5n + 7 = 7n + 7 - 2n

Combine like terms

5n + 7 = 7n - 2n + 7

5n + 7 = 5n + 7

If you want to solve for n, subtract 7 from both sides

5n + 7 (-7) = 5n + 7 (-7)

5n = 5n

then divide 5 from both sides

5n/5 = 5n/5

n = n

Effectively, this equation is <em>unsolvable</em>

hope this helps
3 0
3 years ago
Read 2 more answers
Help I need this badlyuu
Alex Ar [27]
It is 2/3 I believe

By calculating the difference between the x and y coordinates, and putting it in the rise/run format, you can easily find the slope of the line
4 0
3 years ago
Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and
Leni [432]

Answer:

No, the Roger’s claim is not correct.

Step-by-step explanation:

We are given that Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and the median.

This statement by Roger is incorrect because the median is unaffected by the outlier value and only the mean value gets affected by the outlier value.

As the median represents the middlemost value of our dataset, so any value which is an outlier will be either at the start or at the end will not the median value. So, the median will not likely change when an outlier is added to a small data set.

Now, the mean is the average of all the data set values, that is the sum of all the observations divided by the number of observations. The mean will get affected by the outlier value because it take into account each and every value of the data set.

Hence, the mean will likely to change greatly when an outlier is added to a small data set.

7 0
3 years ago
Which graph represents the function?
nydimaria [60]

Answer:

Top right graph.

Step-by-step explanation:

The graph  of  f(x) = x has a slope of 1, and is increasing to the right until the point where x = -1.

The graph of f(x) = -x has a slope of -1 decreasing to the right from the point where x = -1.

The clear small circle means that the point is not included in the function ( because of the '<' ).

The filled circle means it is included ( the '≥').

7 0
3 years ago
Other questions:
  • What would this be how would I do it? Please help HELP HELP ASAP HELP
    13·1 answer
  • What is the first step in solving the quadratic equation -5x + 8 = 1337
    9·1 answer
  • Light travels at a speed of about 186,000 miles per second. How far does light travel in 5 second? Use repeated addition to solv
    6·1 answer
  • Estimate the difference. 9 1/2- 1 6/7
    13·1 answer
  • What is the dashed green part of the figure below?
    9·1 answer
  • Mr. Brooks has $14.20 in his checking account, he uses
    11·1 answer
  • Drag each tile to the correct box.
    13·1 answer
  • when graphing a system of equations with "the same"or "different" in order to make the sentence a true statement ______________.
    9·1 answer
  • PLEASE HELP 7TH GRADE MATH!!!!
    15·1 answer
  • A rectangle is three times as long as it is wide.If it has a perimiter of 64 cm.find its area.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!