Help help help math

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

Answer:

Step-by-step explanation:

The equation ...

  (x -h)² = 4p(y -k)

is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.

The vertex for equation ...

  (x -4)² = -12(y +1)

is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.

_____

Additional comment

As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.

You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.

Answer:

C

Step-by-step explanation:

Answer:

f(x) = x^2 is a classic example

f( 3 ) = 9 and

f( -3 ) = 9, but

f^(-1)[9] is undefined because the result can be 3 and -3

Answer:

a box of 10 balls for $9?

Step-by-step explanation:

because u buy 10 tennis balls for 9 dollars and the first one is not true

becuase u buy 3 balls of tennis with 3 dollars and the last answer is right

becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls

hope it helps

Answer: 1/7

Step-by-step explanation:

You can add 4+5+3+2 to get 14, and 2/14 can be simplified to 1/7

Step-by-step explanation:

The standard form of linear equation:

Convert each equation into standard form:

Answer:

3

Step-by-step explanation:

7-4=3

Answer:

He has three!

Step-by-step explanation:

7-4=3 so manuel needs three more gallons! Hope this helps! :)

Answer:

40% of ___ is 16

So then 10% of ___ is 4

Then do 4 x 10 = 40

So 40% of 40 is 16.

Answer: 9 is incorrect the anwser is acactually D . The square root of 58

Step-by-step explanation:

Answer:

y=1.25x+5

Step-by-step explanation:

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

Answer:

The opposite of -11 is 11, and I dont understand what else you're asking

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 miles / 30 minutes = 0.2 miles /minutes

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

y > 3x - 4

Step-by-step explanation:

lmk if you want an explanation

The solutions are x = (5 + √19)/3 and x = (5 - √19)/3. These match options E and F in your question.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We are given that;

The function (3x - 5)2 = 19

Now,

To find the solutions to the equation (3x - 5)^2 = 19, we need to use the following steps:

Take the square root of both sides to get 3x - 5 = ±√19

Add 5 to both sides to get 3x = 5 ±√19

Divide both sides by 3 to get x = (5 ±√19)/3

Therefore, the solutions of the equations will be x = (5 + √19)/3 and x = (5 - √19)/3.

Learn more about solving equations here:

https://brainly.com/question/13072448

#SPJ7

Answer:

$500

Step-by-step explanation:

what I did was find the diffrence in 2002 and 2008 and its 6 and the difference between $200 and $350 its 150 so now you find the difference between 2008 and 2020 its 12 thats 2 times more than 6 so you need to do the same to the money and add 150 to 350 and its 500.

2002 - 2008 = 6       2008 - 2020 = 12

$200 - $350 = 150    $350 + 150 = $500

Answer:

x ≈ 7.1

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )

x × cos27° = 6.3 ( divide both sides by cos27° )

x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )

[tex]\frac{1}{2}x +8=7+\frac{1}{2}x <=>\frac{1}{2}x -\frac{1}{2}x =7-8<=>0x=-1[/tex] (no solution)

P/s:    [tex]\frac{1}{2}x +8\neq 7+\frac{1}{2}x[/tex]

Ok done. Thank to me :>

Answer:

$138

Step-by-step explanation:

120 · 0.15 = 18

120 + 18 = 138

Answer:

7/20

Step-by-step explanation:

Answer: if you calculate math yo7 would get 7/20

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

84 / 0.75 = 112

112 x 0.75 = 84

Answer:

Its A

Step-by-step explanation:

Answer:

-8 or 8

Step-by-step explanation:

We are given the absolute equation:

[tex]\displaystyle \large{4|x|=32}[/tex]

First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]

Absolute Value Definition

[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]

So from |x| = 8, break into two intervals/conditions.

(1) when x ≥ 0

x = 8

(2) when x < 0

-x = 8

x = -8

From (1) and (2), the solution to 4|x| = 32 is 8 or -8

Answer:

6x

Step-by-step explanation:

8x-2x

Answer:

1348

Step-by-step explanation:

Answer:

then u suck at lif

Step-by-step explanation:

Get betta then yk

Have a good day bro cya)