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
dem82 [27]
1 year ago
9

He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. which best

describes the reasonableness of the student’s solution? his solution for x is correct and his explanation of the extraneous solution is reasonable. his solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x. 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. his solution for x is incorrect. when solved correctly, there are no extraneous solutions.
Mathematics
1 answer:
seropon [69]1 year ago
5 0

The question is incomplete. Completed question is given below the answer.

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.

Given  

Then the solution follows thus:

Step 1: 8(x – 4) = 2(x + 2)

Step 2: 4(x – 4) = (x + 2)

Step 3: 4x – 16 = x + 2

Step 4: 3x = 18

Step 5: x = 6

It can be seen that his solution is correct. But 6 is not an extraneous solution.

An extraneous solution is a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the original problem.

When 6 is substituted into the original equation, the original equation holds.

Therefore, 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.

Learn more about extraneous solution here: brainly.com/question/3751209

#SPJ4

Completed question:-

A student solves the following equation for all possible values of x:His solution is as follows:

Step 1: 8(x – 4) = 2(x + 2)

Step 2: 4(x – 4) = (x + 2)

Step 3: 4x – 16 = x + 2

Step 4: 3x = 18

Step 5: x = 6

He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.

Which best describes the reasonableness of the student’s solution?

His solution for x is correct and his explanation of the extraneous solution is reasonable.

His solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x.

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.

His solution for x is incorrect. When solved correctly, there are no extraneous solutions.

You might be interested in
F(x) = (x - 4)(x + 5)
drek231 [11]

Answer:

x  

2

+x−20

Step-by-step explanation:

6 0
3 years ago
BRAINLIEST TO BEST ANSWER!!!!
Thepotemich [5.8K]
The equation would be y = -(3/4)x+1
5 0
3 years ago
The value of Greta's rolls of coins is $121.00. If pennies and dimes come in rolls of 50 coins each, and nickels and quarters co
aksik [14]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Can someone please help me with this question?
MakcuM [25]
D is the answer. Hope this helped.
7 0
3 years ago
Read 2 more answers
How do you do this? Because I don’t get it
olganol [36]
Multiply by -1 each time to get the answer in the output
6 0
2 years ago
Read 2 more answers
Other questions:
  • A wheel of radius 1 rolls along a straight line, say the r-axis. A point P is located halfway between the center of the wheel an
    10·1 answer
  • Mr Blake is packing 79 books into boxes. He can pack 12 books in each box. How many boxes does he need?
    14·2 answers
  • Identify the nonlinear graph.<br><br> 20+ points!!!
    8·1 answer
  • What is bigger -6.1 or -6
    13·1 answer
  • craig spent $27 to buy 3 calendars. the next day, he spent another $18 for more calendars. Each calendar cost the same amount. H
    12·1 answer
  • 4 1/3 + 6 2/5<br> Please show how you got the answer
    6·1 answer
  • Need to be in order Smallest to biggest question. <br><br> Want to check if my answers are right.
    11·1 answer
  • 99-7a^2 when a =3 please help!!!!!!!!!
    9·1 answer
  • LMNP is a rectangle. Find the value of x. LN=8x-7 and MP=2x+5
    6·1 answer
  • on a straight highway, the distance from loretta’s house to a park is 43 miles. her friend jamal lives along this same highway b
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!