look at the right angle triangle ABC 75

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:

33  1/3%

Step-by-step explanation:

Because there are 3 girls and 9 total animals, you do: 3/9, which is 1/3. You divide to find the percent. 1/3=33.333333..... Because you have a repeating decimal, you do 33 and 1/3, because the repeating decimal is .33333.....

Answer:

2x(+4)x2

Y-1 0 1 5 2

Step-by-step explanation:

hope it help

Answer:

85°+8x-1+11x+1=180°(being sum of all angle in a

triangle)

or,85°-1+1+8x+11x=180°

or,84+1+19x=180°

or,85+19x=180°

or,19x=180-85

or,19x=95

or,x=95/19

x=5

Answer:

22.848

Step-by-step explanation:

just type it into a calculator dawg

Answer:

y=-1

Step-by-step explanation:

yeah-ya...... right?

Answer:

AB

Step-by-step explanation:

Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

1000

Step-by-step explanation:

5% of my 20000 is 1000 so 21000 total or 1000 anually

Answer:

No

Step-by-step explanation:

A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x

Answer:

No Solution

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle \large{|x|-5=-20}[/tex]

First, Add both sides by 5 which leaves us [tex]\displaystyle \large{|x|=-15}[/tex]

By definition, an absolute value cannot be negative. There are no x-values that can equal to -15 because no matter what real numbers you put in or substitute, it will never become negative.

Hence, no solution.

Answer:

6(3r + 2s)

Step-by-step explanation:

Find the gcf of 18 and 12, then divide both and put it inside the parentheses.

Answer:

17,984,000

Step-by-step explanation:

because it is

Answer:

1) 8/10 or 4/5

2) 1/4

3) 7/8

4) 13/10 or 1  3/10

5) 1/6

Step-by-step explanation:

1) If the denominators are different numbers, you need to find the common denominator. 3/5 + 2/10: Since /5 is a factor of /10, then you can multiply /5 by 2. But if you change the denominator, the numerator needs to change too. 3/5 * 2 = 6/10. Now simply add both fractions. 6/10 + 2/10 = 8/10 or if you reduce; 4/5!

2) Now that you know that method, do the same with the next problem. 3/4 - 1/2: /2 *2=/4. 1/2*2=2/4. 3/4-2/4 = 1/4!

3) 3/4 + 1/8 = (3/4*2) + 1/8. 3/4*2= 6/8. 6/8+1/8=7/8

4) Now, you cannot multiply 2 by any number to get 5. So you need to find the lowest common denominator. You find this by adding each number that is the denominator by itself until you get the same sum. Example: /5+/5=/10.  /2+/2+/2+/2+/2=/10. Remember, whatever is done to the denominator is done to the numerator. /5*2 = /10, 4/*2=8/. And /2*5=/10, 1/*5=5. So now it would be 5/10+8/10= 13/10 which could be changed to 1  3/10

5) Use the same technique you used last time on this problem. 2/3-1/2= (2/3*2) - (1/2*3) =4/6 - 3/6= 1/6!

Answer:

Step-by-step explanation:

Answer:

b,c

Step-by-step explanation:

hello, the answer to this is / and ----- or b and c I got this right on my test :)

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Recall:

Given two points:

(5,−10) and ( 11 , − 12 )

[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]

[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

https://brainly.com/question/3493733

Answer:

B. 2/5

Step-by-step explanation:

I hope this helps!

Answer:

B 2/5

Step-by-step explanation:

Using programming concepts, it is found that the purpose of an assignment statement is:

In programming, examples of assignment statements are:

From the bullet-points, we have that the key-word is stores, hence, storing a value in a variable is the purpose of an assignment statement, and the correct option is:

You can learn more about assignment statements at https://brainly.com/question/3949761

Answer:

The answer would be to store a value in a variable.

Step-by-step explanation:

I took the test and got it right.

Answer:

1 + 3/5x + 2

the first expression = eighteen and 1 + 3/5x + 2 is the only other expression that = eighteen. Hope this helps and good luck!!

Step-by-step explanation:

Answer:

r = 1/11

Step-by-step explanation:

16r-2r = -3r+6r+1

14r = 3r+1 (combine like terms)

11r = 1

r = 1/11

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

The base of the parallelogram is represented by b

[tex]b = (x - 4)[/tex]

The height of the parallelogram is represented by h

[tex]h = (2 {x}^{2} - 6)[/tex]

The area of the parallelogram is represented by A

A = bh

A = (x - 4)(2x²- 6)

A = 2x³ - 6x - 8x² + 24

A = 2x³ - 8x² - 6x + 24

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

Learn more here: https://brainly.com/question/25601035

Answer:

B.  2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

Have the day you deserve :)

Answer:

15,000 liters

Step-by-step explanation:

First, find the volume in meters. 5*3*1=15 meters

1 meter = 1000 liters

(x15)

15 meters = 15000 liters

Hope this helped :D

Answer:The food you ordered at a restaurant costs $32.

lowa sales tax is 7%.

It was good service- You decided to tip 20%.

How much tax would be added to your bill?

What is the cost after tax?

What is the amount after the tip

Find the total cost you will pay

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The question is pretty much asking to find the LCM of the denominators, which is the LCD, Least Common Denominator

First list out the two numbers, then list its multiples,

6: 6, 12, 18, 24

9: 9, 18, 27

since both of them have 18, and its the least, that is the LCD/LCM

15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50

The sale price of the laptop is 722.50

Answer:

the triangle above is an isoceles triangle

therefore the base angles are equal

So we have:

X + X + 38= 180

2x = 180-38

2x = 142

X = 71°

Answer:

71

Step-by-step explanation:

The two line of length 21 defines that the base angles are equal.

so therefore.

38 degrees + x degrees + x degrees = 180

38 + 2x = 180

2x = 180 - 32

2x = 142

x = 71.

I hope this helps like it and comment if you have more questions or spotted a mistake . thanks

Answer:

-44!

Step-by-step explanation:

I’m going to try and explain this the best way possible through a keyboard:

14+(-22)-14-22

I usually work from left to right with these kinda problems, it helps me stay organized.

The rule for adding integers is when the signs are different you always subtract and take the sign of the LARGER number…

With that being said,

14+-22=-8

Then re write the problem

-8-14-22

Subtracting integers with different sign calls for the KCF method (keep the first number the same, change the sign, flip the second number:

Working one step at a time left to right…

-8+-14 (just add normally and keep the sign)

-22-22

Again using the kcf method,

-22+22=

-44

Hope that helps!