Solve for x: 3(x + 1) = -2 (x-1) - 4

Answers

Answer 1

Answer: x = -1

Remove parentheses

Calculate

Move the terms

collect like terms, calculate.

divide both sides.

Answer 2

Answer: x = -1

3(x + 1) = -2(x-1) - 4 (Expand by distributing)

3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)

3x + 2x = 2 - 4 - 3 (Collect like terms)

5x = -5 (Divide both sides by 5 to isolate for x)

x = -1

∴ x = -1.


Related Questions

How do you do this question?

Answers

Answers:

[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]

Based on the limit comparison test, the series is convergent

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

Explanation:

As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.

In other words,

[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]

That -2 doesn't really play a role when n gets very large.

This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.

So,

[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]

[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]

Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.

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

If we plug n = 2 into the [tex]b_n[/tex] sequence, we get

[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]

The first term is a = 1/9

If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]

This shows that the common ratio is r = 1/3

Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.

Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.

We've shown that the b series converges, so the 'a' series must converge as well.

If x an y are natural numbers then x-y is a natural number what is the converse of this statement

Answers

9514 1404 393

Answer:

  If x-y is a natural number, then x and y are natural numbers.

Step-by-step explanation:

The converse of ...

  If P, then Q.

is ...

  If Q, then P.

__

Here, we have ...

  P = "x and y are natural numbers"

  Q = "x-y is a natural number"

So, the converse is ...

  If x-y is a natural number, then x and y are natural numbers.

_____

In this case, the converse is false.

Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.

Answers

Answer:

13/18

Step-by-step explanation:

See attachment

HELP ME PLS ITS DUE TODAY :((​

Answers

Answer:

3         8

18       48

22.5   60

27       72

Step-by-step explanation:

3:8 ratio

18/3=6

8*6=48

Answer:

48

60

72

Step-by-step explanation:

1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.

2. Equation: 3*?=8, ? = 8/3

3. Multiply all of the other numbers by 8/3 to get the answers.

4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.

Answers: 48, 60, 72

Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation

Answers

Answer:1.7 x 10 ^ -5

Step-by-step explanation:

Answer:1.7 x 10-5

hope this helps

I don’t understand what this means

Answers

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

Answer:

120 different ways

Step-by-step explanation:

So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.

To do that, we have to split into sets.

Set A: 4 Theme Parks

Set B: 6 Passes

Set C: 5 Food Options

Now we have to multiply the sets.

4 x 6 x 5 = 120

Therefore, the answer is 120 different ways.

Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options

Answers

Answer:

the answer is 2,3,and 5

Step-by-step explanation:

Answer:

2, 3, and 5

Step-by-step explanation:

plssssssssssssssssssssssss help for test
Your math class is collecting canned food for a local food drive. The goal is to collect at least 130 cans but no more than 250 cans due to space limitations. There are 24 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.

Answers

the first thing we must do is define variables.

We have then:

n: number of cans that each student must bring.

We know that:

The teacher will bring 5 cans

There are 20 students in the class

At least 105 cans must be brought, but no more than 205 cans

Therefore the inequation of the problem is given by:

105 < 20n + 5 <205

Answer:

the possible numbers n of cans that each student should bring in is:               105 < 20n + 5 < 205

Help me three questions please really easy I promise answer

Answers

Answer:

1.y=-2x+7

2. no

3.yes

Step-by-step explanation:

please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2

Answers

Answer:-1.2 Degree Fahrenheit.

Step-by-step explanation:

Since,

The average daily changes,   total changes/number of days

Here,

The total changes = - 16.8° F ( - sign shows the decreasing )

And, the number of days = 14

Hence,

⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.

-16.8 / 14 = - 1.2 per day

if you can help i’d appreciate it

Answers

Answer:

B- 44

Step-by-step explanation:

87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.

hope this helped! -brooke :))

Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.

Answers

Answer:

FV= $5,325.8

Step-by-step explanation:

Giving the following information:

Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.

To calculate the future value, we need to use the following formula:

FV= (P*r*t) + P

P= $5,000

r= 0.0434/12= 0.00362

t= 18

FV= [(5,000*0.00362)*18] + 5,000

FV= $5,325.8

The value of the CD at the end of its term is $39,060

Given:

Time = 18 month

Principal = $5000

Interest rate = 434%

Future value = ?

Future value = Principal × Rate × Time

= 5,000 × 434% × 18

= 5000 × 434/100 × 18

= 5000 × 4.34 × 18

= 39,060

Therefore, the value of the CD at the end of its term is $39,060

Read more:

https://brainly.com/question/12164462

PLSSSS HELLPPPP MEEEEEEE ASAPPPP I WIILL GIVE BRAINLIEST!!!!!!!!! PLS SHOW WORK STEP BY STEP

Answers

Answer:

y = -3x + 3

Step-by-step explanation:

Slope = -3

y-intercept = 3

Substitute values into slope intercept form :

y=mx + b

Where :

m= Slope

b = y-intercept

[tex]y = - 3x + 3[/tex]

3.A normal bus carries x passengers.
A large bus will carry twice as many passengers than the normal bus
A small bus will carry 8 passengers less than the normal bus.
Altogether the buses carry 128 passengers.
(a) Form a simplified equation in terms of x

Answers

Answer:  A)    4x -8 = 128  

Step-by-step explanation:

We will represent the amount that the normal bus carries by   n= x  

We will represent  the amount that the large bus carries by  l = 2x  

We will also represent the amount that the small bus carries by  s = x-8  

Now add them to equal to 128.

x + 2x + x -8 = 128    

    4x -8 = 128  

plz i need help i promise i will mark brainliest​

Answers

Answer:

    Step-by-step explanation:

D

Solve the literal equation xy - 4xz = 5 for x.

X=

Answers

Answer:

x = 5/(-4 z + y)

Step-by-step explanation:

Solve for x:

x y - 4 x z = 5

Hint: | Write the linear polynomial on the left-hand side in standard form.

Collect in terms of x:

x (-4 z + y) = 5

Hint: | Solve for x.

Divide both sides by -4 z + y:

Answer: x = 5/(-4 z + y)

explain the relationship between a strategy such as number sense and a written method such as partial products or area models for multiplying decimal numbers ​

Answers

There are a lot of differences between these two.

Step-by-step explanation:Firstly, strategy are all in mind and not on paper while written methods are solid proofs that are written on paper. Strategies may or may not work out with respect to the situation, while Written method will always work. They are actually written after testing their reliability. As far as you multiply decimal numbers these will go in vain and you have to use your mind to solve these

The relationship between strategy and written method in mathematics is that;

Strategies can be changed or modified whereas written methods cannot be changed or modified because they have standards upon which such methods are based.

In mathematics, strategies are defined as the different ways in which a problem can be approached. For example;

A student wants to perform addition of 19 and 46.

He could add the number straight away by doing 19 + 46 = 65or he can

take away 1 from 46 to become 45 and add that 1 to 19 to become 20 and

then sum 45 and 20 together as 20 + 45 = 65.

So we can see that the two strategies used to add 19 and 46 gave the same result.

In contrast, when dealing with written methods like partial products one cannot use any other method apart from that stated in the written method.

For example, we want to use partial products to multiply 13 x 52.

The solution would become (10 × 50) + (10 × 2) + (3 × 50) + (3 × 2) = 676.

In this method, there cannot be another way used as the standard for using partial products is written and fixed.

Read more at; https://brainly.com/question/18884089

My question is

4(2 - W) + w = 20

Answers

Answer:

- 4

Step-by-step explanation:

Step 1:

4 ( 2 - w ) + w = 20           Equation

Step 2:

8 - 4w + w = 20       Multiply

Step 3:

8 - 3w = 20       Combine Like Terms

Step 4:

- 3w = 12     Subtract 8 on both sides

Answer:

w = - 4

Hope This Helps :)

Answer:

w = -4

Step-by-step explanation:

4(2 - W) + w = 20

Distribute:          

8 - 4w + w = 20

Subtract 8 from both sides:

-4w + w = 12

Simplify:

-3w = 12

Divide:

w = -4

Double check your work by substitution:

4(2 - W) + w = 20

4(2 - (-4)) + (-4) = 20

4(6) + (-4) = 20

24 + (-4)= 20

20 = 20

Since we know that 20 does equal 20, we can conclude that the final answer is:

w = -4

         

John had a baseball cards until he gave x cards away. How many cards does he have now?

Answers

Answer:

I don’t think the question makes sense

What is the slope of the line?
*************

Answers

Answer:1.5

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

Slope=rise/run

In this case we start at (-2,0)

We rise up 4 and run to the right 5 until we are at (3,4)

Find the distance between each pair of points in the coordinate plane.
(3,-2) and (2,-1)​

Answers

Answer:

1.41

Step-by-step explanation:

Can you guys help me with finding the answer to this?

Answers

The answer is adjacent I believe

write an equation that represent the table​

Answers

Answer:

y equals 5x + 20

Deandre pays $15.20 for a pack of 8 towels.
Find the unit price in dollars per towel.
If necessary, round your answer to the nearest cent.
Please help

Answers

Answer: Each towel costs $1.90

Step-by-step explanation:

$15.20 divided by 8 = $1.90

Which two numbers add to -10 and multiply to 9

Answers

Answer:

The two numbers are negative 1 and negative 9 which is -1 and -9

can y’all please answer this

Answers

Answer: 35 , 14

Step-by-step explanation:

[3(-2)^2-4 ]+[8 (3)-3]                     [8(3)-3] -[ 3(-1)^2-4]

35                                                      14

The length of a rectangle is 4 more than the width. The area is 357 square centimeters.
Find the length and width of the rectangle

Answers

Answer:

17*21 = 357

Step-by-step explanation:

Firstly, set up your equation.

x*(x+4)=357

Multiply X by (x+4)

x^2+4x=357

You then subtract 357 from both sides

x^2+4x-357=0

Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.

[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]

if 2 log x + 3 log y = 0, find y in terms of x.​

Answers

Answer: If 2 log x + 3 log y = 0, find y in terms of x.

sorry for my messy handwriting!!!

Step-by-step explanation:

Tracy plans to serve punch along with the chicken wings. According to her calculations, two times the amount of punch needed is more than 4 liters. Write an inequality for y, the amount of punch needed to serve at Tracy’s party.

Answers

Answer:

word problems are pretty tricky

Step-by-step explanation:

y= punch

2*y > 4  Liters

y >2 Liters

Answer:2y>4

Step-by-step explanation:

Two times the amount of punch needed =2y. Because this amount must be greater than 4 liters, the inequality is given by 2y>4

-7+8
what is negative 7 plus 8?

Answers

Answer:

1

Step-by-step explanation:

You could have just used a calculator tard lol

Answer:

1

Step-by-step explanation:

-7 +8=1 cause you have 1 positive left over

Other Questions
Hydrogen atoms are excited by a laser to the =4 state and then allowed to emit.What is the maximum number of distinct emission spectral lines (lines of different wavelengths) that can be observed from this system? Calculate the wavelength of the 43 transition. Both the Dutch and French were fur traders in the New World. What was the effect of the fur trade on Native Americans? aye (this aint academic question) anyone lookin for a guy best friend? XD I'm sorry yall How do the US Constitution and the Magna Carta both protect against unfair taxes? A. Only Congress and Parliament have the power to tax. B.Only the judicial system can set the amounts on taxes. C. The checks and balances system limits taxing of the people.D. The three branches of government are in charge of taxation. can someone tell me what my GPA is. 7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23 The Great Spirit heard his prayer. He leaned down from the sky, scooped up a great amount of earth, and made the Cascade Mountains as a wall between Ocean and the dry country. The long and deep hole left where the earth had been, Ocean soon filled with water. Today people call it Puget Sound.The people east of the mountains are still punished for their selfishness and greed. Ocean sends so little moisture over the range that they do not have all the plants that grow along the coast. But they still have the pits their grandfathers dug. They are Lake Chelan and the lakes south and east of it. The Origin of Puget Sound andthe Cascade Range,Ella E. ClarkWhat does this Plateau legend work to explain?the culture of the Plateau peoplethe organization of Plateau tribesthe wildlife of present-day Washingtonthe geography and climate of the region Find the unit rate. 13.00 for 2 books? What were some rights that the King denied the colonies? HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY. Find the 87th term of this sequence: 157, 150, 143, ... i need help.please help me Why did the Phoenicians form colonies? Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form? Did you believe these news items were true? How did you know they weretrue/false? Consider the diagram.What is the length of segment AB?A) 7B) 9C) 18D) 25 A=1/2h(a+b), solve for a The career clusters can be defined as A) all the jobs a person has their working life. B) grouping of occupations and broad industries based on commonalities. C) all the tasks a worker has at a single job.D) all the undergraduate majors at a typical university. Describe the themes and concepts used to study the interaction between globalization and the worlds cultural geographies Please help! I will give brainliest TRUE OR FALSEAngle BAH and angle DAG form linear pair.