1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)​

Answers

Answer 1

Step-by-step explanation:

or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)

or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)

or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)

or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)

or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)

or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156

or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41

or,-7x^2+58x=115

or,-7x^2+58x-115=0

or,-(7x^2-58x+115)=0

or,7x^2-58x+115=0

or,7x^2-(35+23)x+115=0

or,7x^2-35x-23x+115=0

or,7x (x-5)-23 (x-5)=0

or, (x-5)(7x-23)=0

Either, Or,

(x-5)=0 (7x-23)=0

or,x=0+5 or,7x=23

:x=5 :x=23/7

Hence,x=5 or 23/7


Related Questions

6. Kriti has a circular swimming pool in her house. The radius of the swimming
pool is22.5 cm. She walks one round every morning before diving in the pool.
How far does she walk around the pool every morning? *

70.65
141.3
35.33
282.6

Answers

Answer:

Total walk she did around the pool every morning = 141.3

Step-by-step explanation:

Given - Kriti has a circular swimming pool in her house. The radius of the swimming  pool is 22.5 cm. She walks one round every morning before diving in the pool.

To find - How far does she walk around the pool every morning?

Proof -

Given that, the swimming pool is circular in shape.

So,

1 round of circle = Circumference of circle.

As we know that,

Circumference = [tex]2\pi r[/tex]

                         = [tex]2*\pi *22.5[/tex]

                         = 141.3

∴ we get

Total walk she did around the pool every morning = 141.3

- 4/9 times - 5/8 in fractions.

Answers

Answer:

5/8 x 4/9 = 20/72 as simplified as 5/18 in fraction form. 5/8 x 4/9 = 0.2778 in decimal form.

Step-by-step explanation:

The product of -4/9 and -5/8 is 5/18.

Given are two negative fractions -4/9 and -5/8, we need to find their product,

To find the product of two negative fractions, you can multiply their numerators together and their denominators together, while keeping the negative sign.

Let's find the product of -4/9 and -5/8:

Product = (-4/9) x (-5/8)

To calculate the product, multiply the numerators and denominators:

Product = (-4 x -5) / (9 x 8)

Simplifying the multiplication:

Product = 20 / 72

Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 4:

Product = (20/4) / (72/4)

= 5/18

Therefore, the product of -4/9 and -5/8 is 5/18.

Learn more about Fractions click;

https://brainly.com/question/10354322

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1 2 3 4 5 6 7 8 9 10
TIME REMAINING
55:17
Consider the triangle.

A triangle has 3 60 degree angles.

Which statement is true about the lengths of the sides?

Each side has a different length.
Two sides have the same length, which is less than the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the length of the third side.
Mark this and return

Answers

Answer: Option 3 or C. The three sides have the same length.

Step-by-step explanation: Trust Me!

An equilateral triangle has all three sides the same length.

Took the quiz on Edge and got the answer correct.

Good luck everyone!  :)

Triangle DEF has side lengths e=9 and f=13. If the measure of angle D is 41°, what is the length of side d?

• 13.5
• 5.1
• 6.9
• 8.6

Answers

Answer:

8.6

Step-by-step explanation:

Use the law of cosines

[tex]d^{2} = e^{2} + f^{2} -2ef cos D[/tex]

[tex]d^{2} = 9^{2} + 13^{2} - 2(9)(13) cos 41\\ = 81 + 169 - 176.602\\ = 73.3979\\d = \sqrt{73.3979} = 8.6[/tex]

How many solutions does the equation 5x + 3x − 4 = 10 + 8x have? (4 points)

a
No Solution

b
One

c
Two

d
Infinitely many

Answers

Step-by-step explanation:

[tex]5x + 3x - 4 = 10 + 8x \\ 8x - 4 = 10 + 8x \\ 8x - 8x = 10 + 4 \\ = 14[/tex]

Since x has been eliminated (8x-8x = 0), there are no solutions in this equation.

Can anyone help me with this?

Answers

Answer:

1 is A

10 is B

21 is B

25 is A

1 is C

7 is C

Step-by-step explanation:

can plz have brainly ( its the crown in the bottom right corner of my answer box

1. C
7. B
25. B(not for sure)
45. A

Hi if anyone could help that’d be amazing, tysm

Answers

Answer:

I can't help you too much but for the first one its never repeat your ex

A piece of stone art is shaped like a sphere with a radius of 4 feet. What is the volume of this sphere? Let π≈3.14
π

3.14
. Round the answer to the nearest tenth.

Answers

Answer:

267.9 feet^3

Step-by-step explanation:

V = 4/3πr^3

4/3 * 3.14 * 4^3 = 267.946666

b) Factorise 4(x + y) + (x + y)?
Terms & Conditions

Answers

Answer:

5(x+y)

Step-by-step explanation:

4×x+4×y+x+y

4x+4y+x+y

5x+5y

5(x+y)

5(2x - 8) - 15 = 5

Show/Write the steps you would use to solve the equation.

Answers

Answer:

x=6

Step-by-step explanation:

Solve for x:

5 (2 x - 8) - 15 = 5

5 (2 x - 8) = 10 x - 40:

10 x - 40 - 15 = 5

Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):

10 x + (-40 - 15) = 5

-40 - 15 = -55:

10 x + -55 = 5

Add 55 to both sides:

10 x + (55 - 55) = 55 + 5

55 - 55 = 0:

10 x = 5 + 55

5 + 55 = 60:

10 x = 60

Divide both sides of 10 x = 60 by 10:

(10 x)/10 = 60/10

10/10 = 1:

x = 60/10

The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:

Answer: |

| x = 6

3x^2+bx+24=0 if one of its root is 3

Answers

Answer:

Other root of equation, [tex]\frac{8}{3}[/tex]

Value of ([tex]b[/tex]), [tex]-17[/tex]

Step-by-step explanation:

The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,

[tex]y=ax^2+bx+c[/tex]

To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,

[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]

[tex](x_1)(x_2)=\frac{c}{a}[/tex]

Substitute the given values into the equation,

[tex]3+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=\frac{24}{3}[/tex]

Simplify,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=8[/tex]

Inverse operations,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex]x_2=\frac{8}{3}[/tex]

Substitute in the value of ([tex]x_2[/tex]),

[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]

Simplify, convert to improper fractions and combine like terms,

[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]

[tex]\frac{17}{3}=-\frac{b}{3}[/tex]

Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,

[tex]17=-b[/tex]

What is the value of (5r+1/5)² when r = 1?

Answers

Answer:676/25

Step-by-step explanation:

when r=1

(5(1)+1/5)^2

(5+1/5)^2

((25+1)/5)^2

(26/5)^2

676/25

Ben paid $45 for an old guitar. He cleaned the guitar then resold it after marking up the price 15%. He used 36% of the money he got for the guitar to buy books. How much money did Ben spend on books?

Answers

Answer: I couldn't help you,but here's the answer. I'm not the bot the bot doens't have a cute anime chacter as their profile pic.

https://www.chegg.com/homework-help/questions-and-answers/ben-paid-45-old-guitar-cleaned-guitar-resold-marking-price-15--used-36-money-got-guitar-bu-q66963289

HELPPPP pleaseeeeeeew !!!! :)

Answers

Answer:

Look at the ️ picture, I think this will help u to get your answer.

An algebraic expression that contains three terms is called?
1. Monomial
2. Binomial
3.Trinomial

(Don’t answer)
This is the base tell me if you like it KaydieD

Answers

Answer:

Trinomial is the correct answer

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Please I need all answers ASAP I’ll mark u brainyist

Answers

Answer:

I'm pretty sure its A /5

It’s 5 is the answer

OKA AGAINN WITH RIGHT PICTURE HELPPPP

Answers

Step-by-step explanation:

Linear functions have a constant rate. l, domain of all real numbers, and doesnt have a vertex

Answer:

Linear functions have a constant rate. l, domain of all real numbers, and doesn't have a vertex.

Step-by-step explanation:

linear functions are a straight line. domain numbers can be but not limited to: -999 or 999, positive and negative numbers are included but not those with π or √ do not count because they are not real numbers. It doesn't have a vertex because it is a straight line, so therefore there is no vertex.

is 15 + k an equation? answer please

Answers

Answer:

No, I don't think so; an equation must have an equal sign in it. Expressions, however, do not have equal signs in them. Therefore I think 15 + k is an expression, not an equation. Hope this helps :)

Please help 10 points

Answers

Answer:

D 16nsnsbsnshshshshshs

Jesse bought a $340$ -gram bag of coffee beans. He uses $18.75$ grams of coffee beans each day. When there are $40$ grams of coffee beans remaining in the bag, Jesse will buy another bag to make sure he doesn't run out of coffee.

Answers

Answer:

I will make sure he doesnt run out for you.

Step-by-step explanation:

The price per share of a professional sports team increased from $58 to $65 over the past year. What is the stock’s percent increase during this time? Round your answer to the nearest percent.

Answers

Answer:

95.7%

Step-by-step explanation:

i think im not too  sure im sorry if you get it wrong

what makes 3+7+2= ? +2 true? HELP

Answers

Answer:

3 + 7 + 2= 12

Step-by-step explanation:

It is made true because the equation adds up to the number. If we take 3+7 it equals to 10. Then we take 10 and add it to 2, which gives us 12.

Hope this helps :)

The value of the missing number x will be 10.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Let the missing number be x. Then the equation can be written as,

3 + 7 + 2 = x + 2

Simplify the equation, then the value of the variable x will be

3 + 7 + 2 = x + 2

3 + 7 + 2 - 2 = x

x = 3 + 7

x = 10

The value of the missing number x will be 10.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Help<33
4x+7y=-2, y=2

Answers

Answer:

x= -4

Step-by-step explanation:

4x+7y = -2

4x+14 = -2

4x = -16

x = -4

Emma had 30 minutes to do a three-problem quiz. She spent 11 3/4 minutes on question A and 4 1/2 minutes on question B. How much time did she have left for question C?

Answers

Answer:

14 3/4 or 14.75 minutes

You bet $7 on a local race being held for charity. The payoff odds given by the charity event are 12:1. Find your net profit for winning your bet in the race.

$74

$84

$91

$80

Answers

Answer:

$84

Step-by-step explanation:

12:1 means for every dollar you bet you will win 12

so 7 x 12 = 84

you would win $84, you bet 7 so net profit would be 84-7 = $77

Net profit is $77

dos hermanos tienen una cuenta de ahorros de s/1920 lo que le corresponde al hermano mayor es 6 veces mas de lo que le corressponde al hermano menor mas un adicion de s/72 ¿ cuanto le corresponde alk hermano mayor

Answers

Answer:

le corresponde s/1656

Step-by-step explanation:

espero y te ayude

45 POINTS!! PLEASE HELP

The scatter plot shows the relationship between the test scores of a group of students and the number of hours they study in a week.

Part A: What is the group of points labeled N called? What is the point labeled M called? Give a possible reason for the presence of point M.

Part B: Describe the association between students’ test scores and the number of hours they study.

Answers

Answer:

Step-by-step explanation:

m is called an outlier and it is a positive association

Answer:

Part A) Part N.) is called the cluster of the whole chart. Part M.) is called the outlier because it's not with the rest of the group, therefore, it's the outlier of the group.

Part B.)

The association between the students' test scores and the number of hours they've studied is a positive correlation. That means the longer the students spent time studying for their tests... the better grades they got because of it. It's a lot like a cause-and-effect kind of situation.

Step-by-step explanation:

I hope this helps you!!! Brianlyest please!!! And SO sorry this is so late!

Justin is 12 years older than Agnes in six years timing Johnson will be twice as old as Agnes how old are they now​

Answers

9514 1404 393

Answer:

Agnes: 6Johnson: 18

Step-by-step explanation:

6 years from now, Johnson will be 12 years older than Agnes and twice her age. That means Agnes will be 12 and Johnson will be 24.

Agnes is 6 now, and Johnson is 18 now.

please help me on this! Its due tomorrow.

Answers

a. 20 students are in 5th grade
b. 231 ounces of nuts

The graph of y = cos x is transformed to the graph below. Which statement
about the graph is not correct?
АДА
31
2
A. The midline is y= 1.
B. The phase shift is
C. The period is T.
D. The amplitude is 2.

Answers

Answer:

Step-by-step explanation:It’s b

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