[tex]\frac{3}{x+3} -\frac{4}{x-3}=\frac{5x}{x^{2} -9}[/tex]

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{3}{x+3}-\frac{4}{x-3}=\frac{3*(x-3)}{(x+3)(x-3)}-\frac{4(x+3)}{(x-3)(x+3)}\\\\=\frac{3*x-3*3}{(x+3)(x-3)}-\frac{4*x+4*3}{(x+3)(x-3)}\\\\=\frac{3x-9}{x^{2}-3^{2}}-\frac{4x+12}{x^{2}-3^{2}}\\\\=\frac{3x - 9 -(4x + 12)}{x^{2}-3^{2}}\\\\=\frac{3x-9-4x-12}{x^{2}-9}\\\\=\frac{-x-21}{x^{2}-9}\\\\[/tex]

[tex]\frac{3}{x+3}-\frac{4}{x-3}=\frac{5x}{x^{2}-9}\\\\\frac{-x-21}{x^{2}-9}=\frac{5x}{x^{2}-9}\\\\-x-21=\frac{5x}{(x^{2}-9)}*(x^{2}-9)\\[/tex]

-x - 21 = 5x

Add 'x' to both sides

-x -21 +x = 5x + x

        -21 = 6x

6x = -21

x = -21/6

   = -7/2

x = -3.5


Related Questions

2xy +1 = 1
solve for x

Answers

Answer:

the answer of this question is 0

A. First, convert this equation into y-intercept form

y = 2x + 1

B. 2 is the slope: 1 is the y-intercept

Then, plug in 1 for y and solve

C. 1 = 2x + 1

Therefore, x is 0

A store offers 20% off all items. Let x represent the original purchase price.

Answers

Answer:

what are we soposed to do?

Step-by-step explanation:


PLZ HELP ME PLZ I NEED IT

Answers

Answer:

1, 3, 2, 4, 5

Step-by-step explanation:

The Bill for dinner at Dave and Busters last night was $62.20. The waiter received an 18% tip. How much of a tip did the waiter receive?

Answers

11.196 or 11.20 is the answer

i know the value of x is congruent to the other side, confused about the square root part

Answers

Answer:

I think it is that I'm not sure

[tex]10 \sqrt{3} [/tex]

How many times larger
is 8 x 10^4 than 8 x 10^1

Answers

Answer:

8x10^4=80,000

8x10^1=80

79,920 times larger!

Step-by-step explanation:

Hope that helps! :)

The values 8 * 10^4 is 1000 times larger than 8 * 10^1

Scientific notations are expressions written in the form A * 10^n

Given the following scientifc notations:

A = 8 x 10^4

B = 8 x 10^1

In order to know how many times larger  is 8 x 10^4 than 8 x 10^1, we will take the ratio of both values as shown;

Ratio =

[tex]\frac{A}{B} = \frac{8 \times 10^4}{8 \times 10^1}\\ \frac{A}{B} = 1 \times 10^{4-1} \\ \frac{A}{B} = 10^3\\ \frac{A}{B} = 1000[/tex]

This shows that the values 8 * 10^4 are 1000 times larger than 8 * 10^1

Learn more here: https://brainly.com/question/10401258

Hari can do a piece of work in 8 days. In how many days would he do one-fourth of the same work ? Can anyone show the process as well ? Will matk brainlieast​

Answers

Answer:

2 days

Step-by-step explanation:

I figured out what 1/4 of 8 was by taking 2 and multiplying it by 4. You can also get this same answer by dividing 8 by 4.

please help me tysm!
Stan has read 90% of his book. If his book is 360 pages long, which is the best estimate of how many pages he still has to read?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

In ∆DEF, ∠F = ∠D and EF = 4 cm and DF = 5 cm. Then find the length of DE

Answers

Answer:

DE = 4cm.

Step-by-step explanation:

The Isoscles Triangle Theorem says that:

"If two sides of a triangle are congruent, then angles opposite those sides are congruent."

The converse of this theorem is

"If angles opposite those sides are congruent, then two sides of a triangle are congruent."

Therefore, since ∠F is congruent to ∠D and are opposite sides ED and EF

while EF = 4 cm and DF = 5 cm.

DE = 4cm.

Micheal plays 1/15 of a song in 1/5 of a minute. How many minutes will it take to play the whole song?

Answers

Answer:

3 minutes

Step-by-step explanation:

To find how many minutes it will take to play the whole song, multiply 1/5 by 15

15(1/5)

= 3

So, it will take 3 minutes to play the whole song

Answer:

Given :-Micheal plays 1/5 part of song in 15 minTo Find :-

Time taken to complete whole song

Solution :-

Let the time taken be x

Now,

x = 1/5 of 15

x = 15/5

x = 3 min

Step-by-step explanation:

[tex] \\ [/tex]

please, PLEASE answer this fast! I have 1 hour left before I pass it. Please help :( answer it properly! Thank you in advance.

-This is grade 8 math-


1.What elements belong to Set A and Set B?

2. Is there a repetition of the first elements in the ordered pairs? How about in second elements of the ordered pairs?

3. Does the set of ordered pairs represent a relation?

4. How is a relation represented?

Answers

Answer:

The range is is set of all second pairs (y-coordinates) while the domain is the set of first pairs(x-coordinates)

Step-by-step explanation:

Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad?
Fractions.

Answers

Answer:

Improper fraction: 8/3 Mixed Number: 2 2/3

Step-by-step explanation:

In this problem ,  you have to divide the 8 pounds of fruit into three different salads.

So, you need to divide 8 by 3. So, the answer will be 8/3 OR 2 2/3

jalen lost 12 pounds in the first 3 weeks of his diet. After this point , his weight loss slowed by half. If he lost a total of 84 pounds , how many weeks did it take him?

Answers

12:3= 4 per wk in the first 3 wk
Take 4:1/2=2, 2x36=72+ 12=84
36+3= 39 wk to lose 84 pounds
Hope this helps

A scale drawing of a house shows 9cm x10cm. If
6cm=12 ft, what are the actual dimensions?

Answers

Answer:

18ft x 20ft

Step-by-step explanation:

(I'm kinda in a rush so I can't explain right now, sorry!)

Hope that helped though :)

The actual dimensions of the house is 18 feet by 20 feet.

Scaling is used to either increase or decrease the size of a figure to create an image.

Given that a scale of 6cm to represent 12 ft. Hence:

9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.

10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.

The actual dimensions of the house is 18 feet by 20 feet.

Find out more on scaling at: https://brainly.com/question/25324744

George has a sum of money.
He divides the money between Siobhan and Iwan.
Iwan receives 11 of the money.
Write the ratio of the money that Siobhan receives to the money that Iwan receives.
Input note: give your ratio in its simplest form where each part is a whole number.

Answers

11:100
iwan:siobhan
if iwan gets 11% then iwan gets 89/100

PLEASE HELP ME!!! I HAVE 15 MINS

Answers

the right answer for that question is c

PLEASE HELP!

James ran 28 miles in `2\frac{1}{3}`hours. What was his rate in miles per hour?



Write the expression, then solve. Must show all work.

Answers

Answer:

15 mph

Step-by-step explanation:

28mi=2  1/3

2   1/3 = 2 hrs 20min

110min

28/110=.254 mi per min

.25*60=15 mi per hrs

Please help!!

Raymond planted a vegetable garden containing 50 plants. There were 15 tomato plants, 10 green bean plants, 5 pepper plants, 12 zucchini plants, and 8 cucumber plants.

Use the percent that you find and multiply each times 360° to find the number of degrees for each sector of the circle graph based on this data.

Answers

108* tomato

72*green bean plants

36*pepper

86.4*zucchini

57.6*cucumber

How can you write and
solve equations involving rational numbers?

Answers

Convert the rational number to decimals, then solve it as a decimal instead, (with the optional choice of re-converting it back to rational).

Larry wants to purchase birthday gifts for his twin sisters. One sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem. Which inequality could he use to determine how many of each flower he could buy if he only has $35.00 to spend? Let x represent the number of daisies and y the number of tulips. Group of answer choices

Answers

Answer: 2x + 3y = 35

Step-by-step explanation:

Let x = number of daisies

Let y = number of tulips

Since one sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem, the inequality that could be use to determine how many of each flower he could buy if he only has $35.00 to spend will be:

2x + 3y = 35

which expression results from using the distributive property?
number 1: 7(x+3) a.7x+3 b. 7 x + 3. c.21x d. X + 21
number 2: 3(6+r) a.6+r b.6+3r c.18r d.18+3r
number 3:12(n+2) a.12n b.n+24 c.12n+24 d.24n​

Answers

Answer:

Number 1: 7x+21

Number 2: 18+3r

Number 3: 12n+24

Step-by-step explanation:

Factor

3x-12y=216 solve for y fully reduced​

Answers

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

Company cuz closed at $52.93 per share with a P/E ratio of 15.17 how much were earnings per share

Answers

Answer: $3.49

Step-by-step explanation:

Earnings per share shows how much of the profit of the company every share will get.

You can use it to calcutae the P/E ratio through the following formula:

P/E ratio = Share price / Earnings per share

15.17 = 52.93 / EPS

EPS * 15.17 = 52.93

EPS = 52.93 / 15.17

= $3.49

All formula of Trignometric Identities​

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

Trigonometric identities and relations

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon? Before you try that problem, answer the question below. How many \textbf{inches}inches of ribbon does the dressmaker have, in total?

Answers

Answer: 20

Step-by-step explanation:

First and foremost, we should know that: 12 inches = 1 foot. Therefore converting 3 feet to inches will be:

= 3 × 12 = 36 inches.

Therefore, if a dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. The number of pieces will be:

= 3 feet / 9 inch

= 36 inches / 9 inches

= 4 pieces

Then, the number of 9-inch pieces that the dressmaker can cut from 5 of these rolls of ribbon will be:

= 4 × 5

= 20 pieces

Can someone help pls? With working out if possible :)

Answers

Answer:

x=7/2

Step-by-step explanation:

first, multiply 3/4 and 5/8 into the () to get rid of them.

3/4x -3/4 = 5/4x -5/2

next, combine like terms

5/4x -3/4x = -3/4 +5/2

1/2x = -3/4 +10/4 = 7/4

divide both sides by 1/2

x= 7/2

Write as a product (5c-3d)^2-9d^2

Answers

Answer:

25c^2-30cd

Step-by-step explanation:

The product of expression is,

⇒ 5c (5c - 6d)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (5c - 3d)² - 9d²

Now, We can write the expression in form of product as;

⇒ (5c - 3d)² - 9d²

⇒ (5c - 3d)² - (3d)²

⇒ (5c - 3d - 3d) (5c - 3d + 3d)

⇒ (5c - 6d) (5c)

⇒ 5c (5c - 6d)

Thus, The product of expression is,

⇒ 5c (5c - 6d)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!!

Answers

Answer:

Step-by-step explanation:

T = $3b

What’s the answer?!?!?

Answers

Answer:

24 inches

Step-by-step explanation:

You can see in the picture a triangle is formed where the sides are AB, BC, and AC.

The side lengths you have are AC = 16 and BC = 20.

You can use the Pythagorean Theorem, [tex]a^2+b^2=c^2[/tex], so:

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400\\b^2=144\\b=12[/tex]

This means that the length of AB = 12.

It's asking the diameter, and AB is the radius, so you have to do 12 * 2 to find the diameter = 24 inches

What is the length of QR

Answers

Answer:

8

Step-by-step explanation:

Set 3n-1=5n-7.

Solve.

n=3.

Plug in 3 to 5n-7.

QR=8

Answer:

QR=8

Step-by-step explanation:

so using the fact that the two triangles are congruent, we can determine:

5n-7=3n-1

5n-6=3n

2n-6=0

n=3

so we replace all n in 5n-7 with three

5x3-7

15-7

8

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