How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Over 4 EndFraction.

Answers

Answer 1

The equation has one extraneous solution which is n 2.38450287.

Given that,

The equation;

[tex]\dfrac{9}{n^2+1} =\dfrac{n+3}{4}[/tex]

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

[tex]\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\[/tex]

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

https://brainly.com/question/15070282

How Many Extraneous Solutions Does The Equation Below Have? StartFraction 9 Over N Squared 1 EndFraction

Related Questions

What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.

Answers

The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

Given that,

The graphs of f(x) = 10x and its translation, g(x), are shown.

We have to determine,

What is the equation of g(x)?

According to the question,

The given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]\rm f(x) = 10^x[/tex]

To find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]\rm g(x) = 10 ^{x-3}[/tex]

Substitute the value of x = 3 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]

Substitute the value of x = 4 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]

Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

For more details refer to the link given below.

https://brainly.com/question/13148696

Answer:

the answer is a g(x)= 10x^-3

Step-by-step explanation:

You are going to a private apple orchard to pick apples. There is a one-time entry fee
that everyone pays, and you also pay a certain amount per pound of apples you pick. It
costs $42 to buy 5 pounds of apples, and it costs $54 to buy 7 pounds of apples.
Based on this information, what is the one-time entry fee?

Answers

The one-time entry fee is $12.

In order to determine the one-time entry fee, two equations have to be formed from the information in the question:

x + 5y = 42 equation 1

x + 7y = 54  equation 2

Where:

x = one-time entry fee

y = cost to pick an apple per pound

In order to determine the one-time entry fee, take the following steps:

Multiply equation 1 by 7 and equation 2 by 5.

7x + 35y = 294 equation 3

5x + 35y = 270 equation 4

Subtract equation 4 from equation 3

2x =24

Divide both sides of the equation by 2

x = $12

To learn more, please check: brainly.com/question/23589883

2x + 3 for x=3
PLEASE I NEED A ANSWER

Answers

Answer:

9

Step-by-step explanation:

2 times 3 = 6

6+3=9

A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?

Answers

Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Mrs. Clark's plant is 4 3/4 inches tall. It is 1 7/8 inches taller than Jimmy's plant.

How tall is Jimmy's plant?

Answers

Answer: 6 5/8 inches tall

Explanation: Change 4 3/4 into 4 6/8. 4+1 = 5 and 6/8 + 7/8 =1 5/8. 1 5/8 + 5 = 6 5/8 inches tall.

Hope this helps!

Simplify (x-4) (x^2 + 3x + 2)

Answers

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

Solve.

x/2=−0.73

What is the solution to the equation?

Enter your answer as a decimal in the box.

x =

Answers

x/2 = -0.73

To solve for x multiply both sides by 2:

x = -1.46

The answer is X= -1.45

2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?

Answers

Answer:

21

Step-by-step explanation:

his ratio of shots from the first game would be 14:40 or 7:20

so if he made the same ratio from 60 shots it would be

21:60

What is equivalent to
4(b+5)

Answers

4b+20 because you disrepute the 4

There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER

Answers

Answer:

71/120

Step-by-step explanation:

Suppose you draw two tennis balls at random from a bag containing seven pink, four white, three yellow,
and two striped balls. Find each probability.
l2 P(yellow then pink) without replacing

Answers

its a ratio i think .......

which one is a function quick

Answers

Answer:

Table be is the only function. Table A has -5 as an x value two times.

Step-by-step explanation:

100,105,110.25… recusive formula

Answers

Answer:

  a[1] = 100

  a[n] = 1.05·a[n -1]

Step-by-step explanation:

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

  a[1] = 100

  a[n] = 1.05·a[n -1]

A student says that it 5x^2 =20,then x must be
equal to 2. Do you agree or disagree with the
student? Justity your answer.

Answers

I agree with the student.Justification:[tex] {5x}^{2} = 20 \\ = > {x}^{2} = \frac{20}{5} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = 2[/tex]Therefore, x must be equal to 2.So his statement is right.

Hope you could get an idea from it.

Doubt clarification - use comment section.

17. Find the 15% commission on $400 in sales.
O $75
$60
O $40
O $15

Answers

60 bc 400 x .15 =60 hope this helps

an airplane on autopilot took 5 hours to travel 3,475 kilometers, what is the unit rate?

Answers

Km/h kilometre per hour

need help dont want to fail

Answers

Answer:

I think the correct answer is D since the arrows go infinite ways. Let me know if im right. :)

Step-by-step explanation:

help pls?? will give brainilest <3

Answers

Answer:

The y = 0.5 the x = 1

Step-by-step explanation:

The y = 0.5 the x = 1

Answer:

y=1/2x

Step-by-step explanation:

y=mx+b, where m is the slope, b is the y-int and y and x are variables.

y=1/2x+0 is the answer but you dont need to add the 0.

To get the slop you do RISE/RUN which in this case is 1/2

Hope that helps. Brainliest is appreciated

The diameter of a circle is 14 in. Find its area in terms of
π
π.

Answers

Answer:

49π in²

Step-by-step explanation:

Step 1: Find the radius.

To find radius given diameter, just divide the diameter by 2: [tex]\frac{14}{2}[/tex] 14/2 = 7, so the radius is 7.

Step 2: Apply area of circle formula.

The formula to find the area of a circle is πr², where r = radius.Now, plug in the value of r: π(11)².

Step 3: Simplify.

π(11)²π(121)121π

Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².

Use the distributive property to remove the parentheses.
-9(-6u+v-5)


I need help- I’ll get brainly list

Answers

Answer:

54u - 9v + 45

Step-by-step explanation:

distributive property

I don’t understand how to do it

Answers

Answer:

Use the slope formula (y2-y1 over x2-x1) also attached as an image file to my answer for each question. After you solve each number for their slope, input the problem number into the table that corresponds with the slope.

For your information, in the attached image file with the formula, "m" represents the slope in the formula.

Which number is divisible by both three and nine?



Select the Hint button to view a hint.

A.21,369 B. 36,359 C. 48,618 D. 56,783

Answers

Answer:

answer is  

A.21,369 or  D. 56,783

Step-by-step explanation:

am  not sure but am mostly sure it is D but i dont know i think is A to but am

99% is D

hope it helps

Answer:

Your answer is C 48,618

Step-by-step explanation:

if you add the sum up of all of the digits it is divisible by both three and nine.

can i plz get brainliest.

2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?

Answers

He would make 22
You welcome

Consider the reaction. Upper n subscript 2 (g) plus 3 upper H subscript 2 (g) double-headed arrow 2 upper N upper H subscript 3 (g). At equilibrium, the concentrations of the different species are as follows. [NH3] = 0. 105 M [N2] = 1. 1 M [H2] = 1. 50 M What is the equilibrium constant for the reaction at this temperature? 0. 0030 0. 030 34 340.

Answers

The equilibrium constant of the reaction is 0.0030.

The equation of the reaction is given as;

N2(g) + 3H2(g) ⇆ 2NH3 (g)

We have the following information at equilibrium;

[NH3] = 0.105 M

[N2] = 1.1 M

[H2] = 1.50 M

Hence, we can calculate the equilibrium constant using the relation;

K = [NH3]^2/ [N2]  [H2]^3

Substituting values;

K = [0.105]^2/[ 1.1] [1.50]^3

K =0.011025 /3.7125

K= 0.0030

Learn more: https://brainly.com/question/17960050

[tex](\sqrt[3]{5})^{2}[/tex]

Answers

Answer:

[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]

Step-by-step explanation:

[tex](\sqrt[3]{5})^2[/tex]

[tex](5^{\frac{1}{3}})^2[/tex]

[tex]5^{\frac{1}{3}*2}[/tex]

[tex]5^\frac{2}{3}[/tex]

Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]

here's another one ​

Answers

Answer:

Supplementary Angles

x = 62

Step-by-step explanation:

Supplementary angles equal 180.

180 - 118 = 62

I hope this helps!

Which number goes in the square with the question mark?
[?] ÷ 3 = 2 N
N = 21 ÷ 3-3
A. 0
B.7
C.8
D.24

Answers

Answer:

this has to do with trial and error

since N=21÷3-3

so 21÷3-3=4

therefore N=4

substitute for N

2×4=8

8×3=24

therefore 24÷3=2×4

Match each operation to its opposite

Answers

Multiplication with division,Subtraction with addition, exponent with Radical! Good luck:)

please help me with math

Answers

Hi there! :)

5-2b when b=-1; 3.

5-2(-1)

5+2

7

5-2(3)

5-6

-1

3(x+8)

3x+24

Hope it helps!

~Answer given by

An Unknown Dreamer

Good luck.

Which of the following is most likely the next step in the series?

Answers

It would be B because each shape is losing one point
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