answer.
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
mixer [17]
2 years ago
7

Solve the radical equation. square root 6n-11= n – 3 Which solution is extraneous? A.)2

Mathematics
2 answers:
Mandarinka [93]2 years ago
6 0
D 10 right????????????:
Anvisha [2.4K]2 years ago
3 0
ANSWER


D) 10

EXPLANATION

We want to solve the radical equation,

\sqrt{6n - 11}  = n - 3

Square both sides,



6n - 11 = (n - 3) ^{2}

Expand brackets on right hand side,

6n - 11 =  {n}^{2}  - 6n + 9

Rewrite in general quadratic equation form,

{n}^{2}  - 12n  + 20 = 0

Factor to obtain,

(n - 2)(n - 10) = 0

Apply the zero product principle to get,

n = 2 \: or \: n = 10


We put n=2 into the equation to get,

\sqrt{6(2) - 11}  = 2 - 3


1 =  - 1


This statement is false, hence 2 is an extraneous solution


We put n=10, to get

\sqrt{6(10) - 11}  = 10 - 3


\sqrt{49}  = 7


7 = 7


This is true, hence the only solution is
n = 10
You might be interested in
The quality control team of a company checked 800 digital cameras for defects. The team found that 20 cameras had lens defects,
dmitriy555 [2]

Answer:

0.025

Step-by-step explanation:

-This is a conditional probability problem.

-Let L denote lens defect and C charging defect.

#We first calculate the probability of a camera having a lens defect;

P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025

#Calculate the probability of a camera having a charging defect:

P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125

The  the probability that a camera has a lens defect given that it has a charging defect is calculated as:

P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025

Hence,  the probability that a camera has a lens defect given that it has a charging defect is 0.025

6 0
2 years ago
Cody's new car cost $15,200. With a sales tax of 7%, determine the total price of the car.
Paul [167]

Answer:

$16,264

Step-by-step explanation:

.07(15200)=1064

1064+15200(original price)=16264

4 0
2 years ago
Read 2 more answers
According to some internet research, 85.2% of adult Americans have some form of medical insurance, and 75.9% of adult Americans
Anastasy [175]

Answer:

0.717 or 71.7%

Step-by-step explanation:

P(M) = 0.852

P(D) = 0.759

P(M or D) = 0.894

The probability that a randomly selected American has both medical and dental insurance is given by the probability of having medical insurance, added to the probability of having dental insurance, minus the probability of having either insurance:

P(M\ and\ D) = P(M)+P(D)-P(M\ or\ D)\\P(M\ and\ D) =0.852+0.759-0.894\\P(M\ and\ D) =0.717=71.7\%

The probability is 0.717 or 71.7%.

8 0
2 years ago
A farmer took 2/3 of the strawberries that he harvested to a market. At the market, the farmer sold 1/4
Aliun [14]

Answer: If you are wondering how much he has left, there are 4/25 strawberries left

Step-by-step explanation:

5 0
2 years ago
Identify the type of function graphed to the right. linear exponential other For an increase of 1 in the x-value, what is the in
8090 [49]

Answer:

Linear

For an increase of 1 in the x-value, what is the increase in the y-value? 2

8 0
2 years ago
Read 2 more answers
Other questions:
  • Sara borrowed $500 for four years at 3 percent interest, compounded annually. Use the formula to calculate the total amount she
    13·2 answers
  • In winter, the price of apples suddenly went up by \$0.75$0.75dollar sign, 0, point, 75 per pound. Sam bought 333 pounds of appl
    13·2 answers
  • During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?
    10·1 answer
  • Kevin has had a checking account for a month. As he reconciles his account, Kevin notices that the dates on his check register d
    5·1 answer
  • PLEASE!IT'S URGENT!!! Richard wants to install a paver patio in the shape shown. The dotted line represents a line of symmetry.
    14·2 answers
  • If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6).
    12·1 answer
  • What is the distance between the following points?
    14·1 answer
  • What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 8? ; when n = 8,
    15·1 answer
  • Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and can
    12·1 answer
  • The area of a rectangular rug is give. By trinomi r^2-2r-35 what are possible dimensions of the rug
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!