Solve the rational equation by multiplying both sides by the LCD. Check your results for extraneous
solutions.
3
2 + 5x + 6
2-1
x + 2
7
x + 3
is a solution.
x=
0
is an extraneous solution.
RETRY
Intro

Answers

Answer 1

Answer:

x = 7 is a solution

x = -2 is an extraneous solution

^ CORRECT ANSWER

Step-by-step explanation:

Answer 2

The rational equation is solved and the solutions are 7 and the extraneous solution is x = -2

What is rational function equation?

A rational equation can be defined as an equation that involves at least one rational expression

A rational function is a function of the form f( x )=P( x ) / Q( x ) ,

f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.

A rational function f ( x )=P( x ) / Q( x )

f( x ) = P( x ) / Q( x ) may have a vertical asymptote

The domain is the set of all real numbers for which Q( x ) ≠ 0

Given data ,

Let the rational equation be represented as A

Now , the value of A is

( 3 / ( x²+5x+6 ) ) + ( ( x-1) / (x+2) ) = 7 / (x+3)   be equation (1)

On simplifying , we get

A rational function is a function of the form f( x )=P( x ) / Q( x ) ,

f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.

So , multiplying both sides by ( x²+5x+6 ) , we get

3 + x² + 2x - 3 = 7x + 14   be equation (2)

On further simplification , we get

x² - 5x - 14 = 0

On factorizing the equation , we get

x² - 7x + 2x - 14 = 0

Taking the common factors , we get

x ( x - 7 ) + 2 ( x - 7 ) = 0

( x + 2 ) ( x - 7 ) = 0

So , the two solutions of x are x = 7 and x = -2

Hence , the solutions of rational equation are x = 7 and x = -2

To learn more about rational equations click :

https://brainly.com/question/26594994

#SPJ7


Related Questions

Please help
Honestly cant understand

Answers

Answer: x=20°

Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.

You should get, x=20.

Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x+7)^2 - 11 = 0

Answers


There is x+7 in the match

Answer:

lesser x = -10.32

greater x = -3.68

Step-by-step explanation:

The value of a boat is depreciating at a rate of 9% per year. In 2006,
the boat was worth $17,800. Find the worth of the boat in 2013.
Write an exponential decay function for this situation. Graph the
function and state its domain and range. What does the y-intercept
represent in the context of the problem?

Answers

Answer:

Hello yes indeed I am here now vote me brainliest.

Step-by-step explanation:

Why you ask? well first I want it even though I did not do anything to help him/her even though, it is funny. :)

Which is an equation of a direct proportion? CLEAR CHECK y=8x y=12x+4 y=12x y=4x−4

Answers

Answer:

[tex]y=8x, \\y=12x[/tex]

Step-by-step explanation:

Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:

[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]

Answer: Y=8x

Step-by-step explanation:

the dishes have been cleaned by us into active voice​

Answers

Answer:

the dishes sparkled after we washed them.

Step-by-step explanation:

The dishes are clean once you wash them duh

Jacob wants to enlarge a 4 in. By 6 in. Photo so that the longer side will be 14 in. How long will the shorter side be? (MUST SHOW WORK) HINT: Refer to your notes on Scale Drawings.

Answers

Answer: 9.3 in.

Step-by-step explanation:

Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.

This means that Jacob wants to increase the larger side by a scale factor of:

= Length of enlarged picture / Length of original

= 14 / 6

= 2.33

2.33 is therefore the scale factor.

The shorter side will also increase by this same scale factor:

= 4 * 2.33

= 9.3 in.

For tran appreciate it

Answers

The trip odometer reading will be between 378.3 km and 378.4 km. Nominally, it will read 378.3 km.

Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.

What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.

Answers

Step-by-step explanation:

• the area of circle M = 3.14×11² = 379.94

• the circumference of circle M =

2×3.14×11 = 69.08

• XY =√36²-11²=√1296-121=√1175=34.28

L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°

the area of triangle XY = ½×11×34.28

= 188.54

• the area of minor sector

= 72.21/360 × 379.94 = 76.20

• the minor arc from point X to

the point where YM intersects

withthe circle

= 72.21/360 × 69.08 = 13.86

What’s the answer for this


155/18 x 2

Answers

Step-by-step explanation:

[tex] \tt{} \frac{155}{18} \times 2[/tex]

[tex]\tt{} \frac{155}{9} [/tex]

[tex]\tt{}17 \frac{2}{9} \\ \\ \\ [/tex]

The rectangle below has an area of x2 - 16 square meters and a width of x + 4 meters.
What expression represents the length of the rectangle?
x +4
Length
x2 - 16
Length
meters

Answers

Answer:

Length = x - 4 meters

Step-by-step explanation:

Area of a rectangle = length × width

Area of a rectangle = x² - 16

width of the rectangle = x + 4 meters.

Length of the rectangle = ?

Recall:

Difference of two perfect square x² - 16 = (x + 4)(x - 4)

Area of a rectangle = length × width

(x + 4)(x - 4) = length * x + 4

Length = (x + 4)(x - 4) ÷ x + 4

Length = x - 4 meters

need help again still struggling

Answers

Answer:

0.111111...

Step-by-step explanation:

Hi,

this function is stating that for any x the f is 9(3)^x.

SO if x was -4 it would be 9(3)^-4

Following order of operations we calculate the exponent first.

the answer is 0.1111111...

Choose the function whose graph is given by:
+1
2
x
+-1
- -2
-4
O
A. y= 4sin(x+1) - 2
B.y= 6sin(x+1) - 2
c. y= 4cos(x- 1) +2
D. y= 4sin(x-1) - 2

Answers

Your answer would be y=4sin(x+1)-2. That would be A.

The required function is y = 3 sin (x -2) + 1.

What is Function?

A relation between a collection of inputs and outputs is known as a function.

A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).

From the graph that is provided to us we observe that,

when x=2

then f(x)=1

Here, from the function y = 3 sin (x -2) + 1

So, when x=2

we get: y=1

Also,  all the other points are satisfied.

Learn more about Function here:

https://brainly.com/question/12801690

#SPJ7

Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different combinations are possible?

Answers

Answer:

180

Step-by-step explanation:

to work out all possibilities you multiple the amount of options.

4x5x9=180

Pls help I’ll give crown

Answers

Answer:

C) (0,5)and(-4,5)

Step-by-step explanation:

a) Write down the exact value of tan 60' b) Find the value of h in this triangle, h= c) Write down the exact area of this triangle, h 60° 43​

Answers

Step-by-step explanation:

maybe this can help you with your problem

a) The exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b) The value of h in the given triangle is √3.

c) The area of the given triangle is 24[tex]\sqrt{3}[/tex].

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

What is the value of tan 60 degrees?

The value of tan 60 degree is [tex]\sqrt{3}[/tex].

What is the formula for area of a triangle?

[tex]Area = \frac{1}{2}bh[/tex]

Where,

b is the base of the triangle.

h is the height of the triangle.

a) Since, the value of tan60 degree is [tex]\sqrt{3}[/tex].

Hence, the exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b). According to the given question, we have a right angled triangle in which

The length of the adjacent side w.r.t angle 60 degrees is [tex]4\sqrt{3}[/tex].

And, the length of the opposite side w.r.t angle 60 degrees is h.

Therefore, the value of h in the given triangle is given by

[tex]tan60 = \frac{h}{4\sqrt{3} }[/tex]

⇒[tex]\sqrt{3} =\frac{h}{4\sqrt{3} }[/tex]                   (because tan60=√3)

⇒[tex]h=4\sqrt{3} \sqrt{3}[/tex]

⇒[tex]h = 12[/tex]

Hence, the value of h in the given triangle is √3.

c) For the given triangle

Length of base = 4[tex]\sqrt{3}[/tex] unit.

And, the height of the given triangle is 12 unit.

The area of the given triangle is given by

[tex]Area = \frac{1}{2} (4\sqrt{3} )(12)[/tex]

⇒[tex]Area =24\sqrt{3}[/tex]

Hence, the area of the given triangle is 24[tex]\sqrt{3}[/tex].

Learn more about tangent of an angle and area of a triangle here:

https://brainly.com/question/15110994

#SPJ2

What are the coordinates of the point on the directed line segment from (- 3, - 9) to (4, 5) that partitions the segment into a ratio of 5 to 2?

Answers

Answer:

(2,1)

Step-by-step explanation:

the best way to figure it out is with a graph

(-3,-9) to (4,5)

for the x

-3 to 4 is exactly 7 points away so you should count 5 over and stop.

for the y

-9 to 5 is exactly 14 points away so you should count in twos and stop at 5 sets of 2

hope this helps <3

How do I this math problem? If tan8 theta = cot 7 theta then theta =?

Answers

Given:

[tex]\tan 8\theta =\cot 7\theta[/tex]

To find:

The value of [tex]\theta[/tex].

Solution:

We have,

[tex]\tan 8\theta =\cot 7\theta[/tex]

We know that, [tex]\cot \theta =\tan (90^\circ -\theta)[/tex].

Using the trigonometric property, we get

[tex]\tan 8\theta =\tan (90^\circ -7\theta)[/tex]

On comparing both sides, we get

[tex]8\theta =90^\circ -7\theta[/tex]

[tex]8\theta +7\theta=90^\circ [/tex]

[tex]15\theta=90^\circ [/tex]

Divide both sides by 15.

[tex]\theta=\dfrac{90^\circ}{15}[/tex]

[tex]\theta=6^\circ[/tex]

Therefore, the value of [tex]\theta[/tex] is 6 degrees.

Can U pls help with this number in the sequence​

Answers

Answer:

First one:

1², 2², 3² and so on (Square of 1,2,3,4,5,6,7.....)

Second one:

2, 13, 26, 41...

add 11, add 13, add 15 (add increasing odd numbers, beginning from 11)

Third one:

4, 14, 29, 49

+10, +15, +20 and so on (add the multiple of 5,beginning from 10)

Fourth one:

1, 8, 27, 64

1³, 2³, 3³, 4³ and so on(cube of 1,2,3,4,5,6,7.....)

Brainliest please

HURRRRRYYYYY!!! This Stem-and-Leaf Plot shows the number of students in each of the cooking classes held at the local recreation center last week. What are the values of the following statistics? NO LINKKKKKKKKKKKSSSSS!!!! WILL GIVE BRAINLIEST!


Range =

Median =

Mode =

Answers

Answer:

4 im correct I don't care i used my brain and guessed

Step-by-step explanation:

Answer:

the  range is 16 mode is 5 and median is 11

Step-by-step explanation:

u can cheat if u exit out of  the assignment and then keep trying

Simon makes 30 cakes.
He gives 1/5 of the cakes to sali.
He gives 10% of the cakes to Jane.
What fraction of the 30 cakes does he have left?

Answers

Answer:

1/5 of 30 = 6 hes left with 24

10% of 24 = 2.4 hes left with 21.6

he has 21.6/30 left

Multiply number of cakes by 1/5 and 10%

Sali = 30 x 1/5 = 20/5 = 6 cakes

Jane = 30 x 10% = 30 x 0.10 = 3 cakes

Total he kept = 30-6-3 = 21 cakes left

Math help please help thanks

Answers

Answer:

62

Step-by-step explanation:

Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.

The two lines (the one you drew and the left vertical line) meet at right angles.

The upper figure is a rectangle.

Area = L * W

L = 5

W = 4

Area = 5 * 4

Area = 20

Now the bottom rectangle can be found the same way.

Area = L * W

L = 14

W = 3

Area = 14 * 3

Area = 42

The total area = 42 + 20

Total area = 62.

The comment was correct.

Evaluate b^2 c^-1 for b = 8 and c = -4.

A. -16
B. 1/16
C. 16
D. 256

Answers

Answer:

-16

Step-by-step explanation:

b^2 c^-1

We know that c^-1 can also we written as 1/ c

b^2 / c

Let b =8 and c = -4

8^2 / (-4)

64 / -4

-16

The question and multiple choice answers are in the image. Hope you can help!

Answers

Answer:

answer b, SAS rule

Step-by-step explanation:

The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

What’s is the answer for
5x + 15=

Answers

What is x equivalent to?

i think it’s 5(x+3)

Helpppp i need this quick im taking a timed test!!!

Answers

Answer: c

Step-by-step explanation:

Answer:c

Step-by-step explanation: it makes the most sense

Can anybody help me with this one ??

Answers

A=7 b =4 and c=9 Because the 7 is the base of the number


A glass is 1/3 full then 40cm3 of orange juice is poured in the glass is now 5/7 full what is the total volume of the glass

Answers

Answer:

1/3 x + 40 = 5/7 x

7x +(21)(40) = 15x

21*40 = 8x

x = 105cm3

Step-by-step explanation:

Pls help I’ll give crown

Answers

Answer:

B

Step-by-step explanation:

because area of prism = L×W×H

so

[tex] \frac{3}{4} \times \frac{5}{2} \times \frac{5}{4} [/tex]

answer is 75/32

hope this make sense:)

Answer:

Hi there uwu The answer is 75/32, also explained by the other answerer!

Step-by-step explanation:

can someone help please??

Answers

Answer:

The scores in order from least likely to most likely is 8, 3, 4, and 5.

Step-by-step explanation:

1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8

You will get:

2 (1/16)

3 (2/16)

4 (3/16)

5 (4/16)

6 (3/16)

7 (2/16)

8 (1/16)

2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).

3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.

in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y and r ​

Answers

you showed no diagram or any picture / screenshot

Other Questions
Hey can you guys help me please!! I need this really bad. What are two overarching messages in the novel Illegal? Please help me. I need lots of help! What type of triangle has a circumcenter on the exterior of the triangle? What is the median of 6, 7, 3, 15, 4, 4. what is a noun and also adjective A pressure cooker contains 5.68 L of air at a temperature of 390 4K if the absolute pressure of the air in the pressure cooker is 205 Pa how many moles of air are in the cooker The kidneys are organs that are involved in which process in mammals? Pulse deficit can be indicative of the following. Select all that apply. A. Atrial fibrillation. B. Supra-ventricular tachycardia. C. Heart failure. D. Premature Beats. E. Atrial flutter if u had to text someone my mistake but on purpose but u say it was a mistakewhat would u ask? and it would make the person who you're sending this too think that "wow u do so and so??" Examine the geometric relationship in the diagram below which option shows the correct value of x and y A truck collides with a car on horizontal ground. At one moment during the collision, the magnitude of the acceleration of the truck is 12.7 m/s^2. The mass of the truck is 2490 kg and the mass of the car is 890 kg. Assume that the only horizontal forces on the vehicles during the collision are the forces they exert on one another.Required:What is the acceleration of the car at the same moment? The question is what 2 things are correct about the neuron when no signal is being transmitted How much energy is used when 14.3 moles of hydrosulfuric acid reacts with 17.1 molesof oxygen?2 H2S + 3 02 + 175 KJ->2 SO2 + 2 H20Which substance is the limiting reactant? The beta of a stock is 1.2. The risk free rate is 3%. The expected market return is 9%. The dividends of the company are expected to grow by 5.6% a year. The current dividend is $6.80. Using the Gordon growth model, what is the intrinsic value of the firm Which of the following is the equation of the line in slope-intercept form that has a slope of -2 andpasses through the coordinate (4, 1)?A) y = 2x - 7B) y -1 = -2(x - 4)C) y = -2x + 9D) y = -2x Which statements provide a logical analysis of the callto action in Queen Elizabeth's speech? Select all thatapply.The context of awaiting an attack establishesexpectation and adds reasonability.O The emotional language makes the audienceunlikely to support her request.The argument builds to the call to action byestablishing the situation and eliciting strongemotions.O The failure to establish logos makes the queen'srequest seem unreasonable.O Though the queen asks the troops to risk their lives,the call is appropriate given a soldier's duty. The purpose of Winston Churchill's excerpt was to warn the United State that Europe was threatened by? DS Unlimited has the following transactions during August.August 6Purchases 50 handheld game devices on account from GameGirl, Inc., for $ 100 each, terms 1/10, n/60.August 7Pays $300 to Sure Shipping for freight charges associated with the August 6 purchase.August 10Returns to GameGirl five game devices that were defective.August 14Pays the full amount due to GameGirl.August 23Sells 30 game devices purchased on August 6 for $120 each to customers on account. The total cost of the 30 game devices sold is $3,170.Required:Record the transactions of DS Unlimited, assuming the company uses a perpetual inventory system. Use the poem to complete the sentences.The first four lines of the poem make up a.The last two lines of the poem make up a. what are the characteristics of primary standard substances? NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.The graph of which function has an amplitude of 3 and a right phase shift of /4?A: y= 3sin2(x- /4)B: y = 3 + sin2(x- /4)C:y = 3 + sin2(x+ /4)D:y = 3sin2(x+/4)