What is the solution to the equation below? ​

What Is The Solution To The Equation Below?

Answers

Answer 1

Answer:

The solutions are (2,0) and (3,0)

Step-by-step explanation:

The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.

2x (x - 4) - (x+3)(x - 2)      =    - 4x

=============                   ========

(x -2)(x - 4)                            x^2 - 6x - 8

Multiply both sides by x^2 -6x - 8

2x(x - 4) - (x^2 + x - 6 ) = - 4x       Remove the brackets

2x^2 - 8x - x^2 - x + 6  = - 4x       Combine like terms on the left

2x^2 - x^2 - 8x - x + 6 =  - 4x

x^2 - 9x + 6 = - 4x                        Add 4x from both sides

x^2 - 9x + 4x + 6 = 0

x^2 - 5x + 6 = 0

This factors into

(x - 2) and (x - 3)

x - 2 = 0

x = 2

x - 3  = 0

x = 3

 


Related Questions

100 POINTS
which of the following best describes the general situation in post war America

A. low unemployment

B. Great Depression

C. population decrease

D. equality for all

Answers

A. low unemployment

I hope this answer helps you...

6 $44 is shared between David, Jo and Mary in the ratio 2:3:5
How much does each receive?

Answers

Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44

Is the point (0,4) a solution to the system
of inequalities below?
y<-3.x +4
y> 5x – 2

Answers

Answer:

No

Step-by-step explanation:

To determine if the point is a solution to either of the inequalities, substitute the variables with the point given. When y<-3.x+4 is substituted with (0,4), the inequality becomes 4<4, which proves that the point is inapplicable to the first inequality. Therefore, you do not need to continue to check its applicability with the second inequality.

Whats -0.5 rounded to the nearest 10th

Answers

Answer:

-0.5 is rounded to the nearest tenth

Step-by-step explanation:

Answer:

it would be -0.5

Step-by-step explanation:

tenth means 1dp the number after it would determine it but there is a zero after the 5 which means that it stays the same.

Need urgent help please, honest answers will get brainliest

Answers

Answer:  Refer to the screenshot below

I've filled in the boxes with the proper answers

====================================================

Explanation for problem 1

In line 1, I used the distributive rule a*(b+c) = a*b+a*c. On the left side the 3(n+2) becomes 3n+6. On the right side, the 9(6-n) becomes 54-9n

On the next line, I added 9n to both sides. The 3n on the left side updates to 3n+9n = 12n.

For the third line, I subtracted 6 from both sides. Then the last line involves dividing both sides by 12 to fully isolate n. To confirm the solution n = 4, plug it back into the original equation. You should get the same thing on both sides after simplifying.

------------------------------------

Explanation for problem 2

The steps here are similar as problem 1, but this time we're involving fractions. Unfortunately, these steps don't involve clearing out the fractions which is often a handy trick to use.

We use the distributive rule on line 1

For line 2, we subtract 2m/9 from both sides. Think of 2m/3 as 6m/9 to help combine the fractions. The denominators must be the same for you to be able to add or subtract fractions.

For line 3, we subtract 4/3 from both sides. Think of 4/3 as 12/9.

The last step is to multiply both sides by 9/4, which is the reciprocal of 4/9. Your teacher made a typo on the right hand side of the last line. It should read [tex]\frac{4}{9}m[/tex] and not [tex]\frac{2}{9}m[/tex]. Refer to the previous line.

y’all i’m stuck help me

Answers

Answer: Choice E

======================================================

Explanation:

Think of 25 as 25/1 and 5 as 5/1

Choice E is really saying [tex]\frac{25}{1} \div \frac{5}{1}[/tex] which becomes [tex]\frac{25}{1} \times \frac{1}{5}[/tex]. Note the second fraction flips and we change to a multiplication sign.

------------

Or you could think of it like this:

[tex]25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5[/tex]

to help see why the answer is E.

Answer:

E

Step-by-step explanation:

The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
3/2
-2/3
2/3
- 3/2

Answers

Answer:

-3/2

Step-by-step explanation:

Simplify:2(2x+4y-y)
Answer is ?

Answers

Answer:

4x+6y

Step-by-step explanation:

distribute and add like terms

Answer:

[tex]4x + 6y[/tex]

Step-by-step explanation:

Collect like terms:

[tex]2(2x + 3y)[/tex]

Distribute 2 through the parentheses:

[tex]4x + 6y[/tex]

Therefore, the answer will be 4x + 6y.

what is the m angle 2?NO SPAMS OR LINKS! THANKS ​

Answers

Answer:

1+3=90

1=52

3=38

38+63+1=180

1=79

the answer is 79

whats the missing leg?

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

a^2+2^2=7^2

a^2+4=49

a^2=49-4

a^2=45

a=[tex]\sqrt{45}[/tex]

a=3[tex]\sqrt{5}[/tex]

a=6.7

HELP ASAP

A pair of equations is shown below:

y = 2x + 9
y = 4x − 3

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)

Your answer:

Answers

Answer:

(6,21)

Step-by-step explanation:

Given that,

y = 2x + 9 .....(1)

y = 4x − 3 .....(2)

From equations (1) and (2),

2x + 9 = 4x − 3

Taking variables both sides and constants to another side.

9+3 = 4x-2x

12 = 2x

x = 6

Put the value of x in equation (1).

y = 2(6) + 9

y = 12 + 9

y = 21

The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).

Mr. Fox organizes a field trip to a museum. He orders 52 student tickets and 2 adult tickets. The cost of a student ticket is s and the cost of an adult ticket is a. The tickets Mr. Fox orders are for the students and teachers from 2 classes that he is taking to the museum. Each class pays for the same number of student tickets and each class pays for the same number of adult tickets. Write 52s + 2a as the product of the number of classes and the total cost per class. Use the number pad, a, and s to enter your answers in the boxes.
PLEASE DO NOT SEND ANY FAKE LINKS
thank you​

Answers

Answer:

52·s + 2·a = [2] × ([26·s] + [a])

Step-by-step explanation:

The number of classes Mr. Fox  takes to the museum = 2 classes

The number of tickets Mr. Fox orders = The number of students and teachers in the two classes

The number of students paid for by one of the classes = The number of students paid for by the other class

The number of adult paid for by one of the classes = The number of adult paid for by the other class

The expression for the total cost of the ticket is 52·s + 2·a

Let 'c' represent the total cost for each class

Therefore, given that each class pays for the same number of students and adults, we have;

2 × c = 52·s + 2·a

∴ c = (52·s + 2·a)/2 = 26·s + a

Therefore, given that we have 2 classes, we get;

52·s + 2·a = 2 × (26·s + a)

an amusement park has 350 people enter over 7 hours. what is the unit rate per hour?

Answers

Answer:

50

Step-by-step explanation:

to get the unit per hour, you have to divide the amout, which is 350, by the time, which is 7, and you get 50

Lesson 4: If - Else is covered in the video below. Click play on the first video to start the lesson. This lesson includes programming, so be sure to pause the videos to edit and write code in the programming environment when prompted.

Download the slides used in the videos below if you'd like to follow along.

Answers

Wait… what lesson? I am confused :/

Please Helpp

A boy is flying a kite. The length of the string is 61 meters and the
horizontal distance between the boy and the kite is 60 meters. Assuming
there is no slack in the string, find the height of the kite from the ground.
kite
61 m
?
boy
60 m
OB) / 179 cm
OA) 165 m
OC) 50 cm
OD) 11 m

Answers

Answer: D

Step-by-step explanation:

11 m

Answer:

D

Step-by-step explanation:

took the test

YALLL HELPP ME PLEASEE!!!!!!!!

Answers

Step-by-step explanation:

1. -5 not suree

2.50

my anwser could be wrong sooo...

Carter paid $21 000 for a car and later sold it to Sienna for 75% of what he paid. Afterwards, Sienna sold it to her friend Charli for 60% of what she had paid Carter. How much did Charli pay for the car?

Answers

Answer:

Amount Charli paid for the car = $9,450

Step-by-step explanation:

Amount Carter paid for the car = $21,000

Sienna paid 75% of what Charli paid

Amount Sienna paid for the car = 75% of $21,000

= 75/100 * $21,000

= 0.75 * $21,000

= $15,750

Amount Sienna paid for the car = $15,750

Charli paid 60% of what Sienna paid

Amount Charli paid for the car = 60% of $15,750

= 60/100 * 15,750

= 0.60 * 15,750

= $9,450

Amount Charli paid for the car = $9,450

|x-1|-1=1 what’s the value of x

Answers

Answer:

x=3, x=-1

Step-by-step explanation:

|x-1|-1=1

Add 1 to each side

|x-1|-1+1=1+1

|x-1|=2

Now set the absolute value to ±2

x-1 = 2     and x-1 = -2

Add 1 to all sides

x-1+1 = 2+1         x-1+1 = -2+1

x=3                       x = -1

Answer: x = 3, x = -1

Step-by-step explanation:

|x - 1| - 1 = 1

Add 1 to each side

|x - 1| - 1 + 1 = 1 + 1

|x - 1| = 2

Now set the value to +_ 2

x - 1 = 2 and x - 1 = -2

Add 1 to all sides

x - 1 + 1 = 2 + 1 x - 1 + 1 = -2 + 1

x = 3 x = -1

Mark me as brainliest!!

The second doughnut glazing machine can glare 78 dozen doughnuts in
2 hours
Based on this rate, what is the total number of hours it will take the second
machine tolar 135 doren doughnuts Show or explain how you got you
answer

Answers

Answer:

t = 3.46 hours, or 3 hours 28 minutes

Step-by-step explanation:

78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.

Donuts produced as a function of time:   D(t), where t is the number of hours the macine runs.

Set D(t) = 135 dozen = (39 dozen/hr)t.

Solving this equation for t, we get:

t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes

Shanices school is selling Tickets to the annual talent show. On the first day of ticket sales the school sold 5 adult tickets and 8 child tickets for a total of $102. The school took in $39 on the second day by selling 2 adult tickets and 3 child tickets. Find the price of an adult ticket.

Answers

Answer:

Children tickets = $9

Adult tickets= $6

Ms. Potter bought x number of shirts for the new members of her chorus. The cost for x numbers of shirts, including $6.99 shipping, was $195.99. Each shirt costs $18.25. There was no sales tax on this purchase. Which equation could be used to find x?

Answers

Answer:

instead of finding x find an ps4

Step-by-step explanation:

like what

what is x+3=12 simplified?

Answers

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

subtracting both sides by 3

x + 3 - 3 = 12 - 3

x + 0 = 9

x = 9

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

x (+ 3 - 3) = 12 - 3

x = 9

Clare's volleyball game ended at 6:30 pm. It took 2 hours and 48 minutes to play the game. What time did Clare's volleyball game begin?

what is 6:30 subtracted by 2 hours and 48 minutes?​

Answers

Answer:

3:42

Step-by-step explanation:

What is the equation of the line that passes through the point (-7, -7) and
has a slope of 1?

Answers

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axisy and x stay as they are while m and b are replaced with numerical values

1) Determine the slope (m)

[tex]y=mx+b[/tex]

We're given that the slope of the line is 1. Plug this into the above equation

[tex]y=1x+b\\y=x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=x+b[/tex]

Plug in the given point (-7,-7)

[tex]-7=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]-7+7=-7+b+7\\0=b[/tex]

Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]

[tex]y=x+0\\y=x[/tex]

I hope this helps!

Simplify √27x². I know the answer is 3x√3, but my teacher wants me to show how I solved it and i dont know how...please help.

Answers

Answer:

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

Step-by-step explanation:

Expand √27x² in such a way that it is the :-

Product of at either two or more perfect square numbers or,Product of two or more numbers out of which one (or more) is a perfect square number.

So ,

[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]

A warehouse has a height of 8\frac{1}{2}8 2 1 ​ meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 ​ meters

Answers

Answer:

10,353m³

Step-by-step explanation:

We can look for the volume of the warehouse since we are not told what to look for

Volume of the warehouse = length * width * height

Given

Length  = 120m

Width = 20 3/10 = 203/20 m

Height = 8 1/2m = 17/2 m

Volume of the warehouse = 120 * 203/20 * 17/2

Volume of the warehouse = 6 * 203 * 17/2

Volume of the warehouse = 3 * 203 * 17

Volume of the warehouse = 10,353 cubic metres

Hence the volume of the warehouse is 10,353m³

what is 500+222+221 and

Answers

Answer:

943

Hope that this helps!

PLEASE HELP ME

Find the surface area of this box. The length is 5 cm the width is 5 cm and the
height is 5 cm.

Answers

Answer:

150cm^2

Step-by-step explanation:

**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?

Answers

Answer:

the total payment need to pay is $525

Step-by-step explanation:

Given that

The amount at promissory note issued is $500

The rate of interest is 10%

And, the time period is 180 days

So, the total payment included is

= $500 + ($500 × 10% × 180 days ÷ 360 days)

= $500 + $25

= $525

hence, the total payment need to pay is $525

2 laundry company one time fee

Answers

Answer:

Step-by-step explanation:

I am sorry but what is this suppose to be asking

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