Solve 4x + 1 = 3 – 2x

Answers

Answer 1

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

Add 2x on both sides:                    6x + 1 = 3Subtract 1 on both sides:                6x = 2Divide 6 on both sides:                   x = 1/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    4(1/3) + 1 = 3 - 2(1/3)Multiply:                        4/3 + 1 = 3 - 2/3Add/Subtract:               7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

Answer 2

Answer:

x=1/3

Step-by-step explanation:

4x+1=3-2x

Add 2x to both sides

6x+1=3

Subtract 1 on both sides

6x=2

x=2/6


Related Questions

Please help me! Im not good at this topic.

Answers

Answer:

I THINK IT IS C.

Step-by-step explanation:

Evaluate the expression | 9 | + | - 2|

Answers

Answer: 11

Step-by-step explanation:

|9| + |-2| =

9 + 2 = 11

Answer:11Hope this helps!!

rewrite 4^-3 using a positive exponent an evaluate the result.

Answers

Answer: 1/4³

Step-by-step explanation:

When finding the negative exponent of a number, you turn it into a fraction, with the numerator being 1, and the denominator being the base of the exponent, and the exponent being positive.

Examples:

2^-2 = 1/2²

3^-3 = 1/3³

4^-4 = 1/4⁴

x2 is to 441 as x3 is to ___.

Answers

Solve for c in x^2 = 441

Taking the square root of both sides x = 21

Now x^3 = 21^3 = 9,261

The answer is 9,261

The solution is x² is to 441 as x³ is to 9261

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

x² = 441

Taking square roots on both sides , we get

x = 21

Therefore , x³ = 21 × 21 × 21

x³ = 9261

Hence , x² is to 441 as x³ is to 9261

To learn more about equations click :

https://brainly.com/question/3617398

#SPJ2

The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.

Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42

Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points

Answers

Answer:

The first option

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer my math question I asked so many times I lost most of points help by

Answers

y-intercept: (0, 1)

Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5

Line of symmetry: x = 0.5

Open UP or DOWN: Opens UP

Min or Max: Min

Vertex: (0.5, 0.5)

Domain: {x|x ∈ ℝ}

Range: {y|y ≥ 1/2}

The cost y (in dollars) to spend an evening bowling is proportional to the
number of games x that are bowled.
It costs $16 to bowl 4 games.
5. Write an equation that represents the situation.
6. How much does it cost in dollars) to bowl 6 games?

Answers

Answer:

y = 4x

Bowl 6 games cost $24

Step-by-step explanation:

Proportional Relationship

We have a situation where the cost y in dollars to spend an evening bowling is proportional to the number of games x bowled.

A proportional relationship is written with the equation:

y = k.x

The value of k will be determined by using the given information: 4 games bowled cost $16, thus:

16 = k.(4) = 4k

Solving:

k = 16 / 4 =4

Thus, the function is:

y = 4x

x=6 games bowled cost:

y = 4*6

y = $24

Bowl 6 games cost $24

For the equation 3(2x − 5) = 6x + k, which value of k will create an equation with infinitely many solutions?

Answers

Answer: K = -14

Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable

Answer:

the correct answer is -15 for the equation:

3(2x − 5) = 6x + k

Hope this helped!

A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides

Answers

Answer:

Look at the picture

Step-by-step explanation:

For 0 rise it would just be eight dollars

Help me please be correct tysm <3

Answers

Answer:

the answer is yes  

because it is within the shaded region of both inequalities

the answer is yes! hope this helps <3.

Wow...I forgot how to do this please help

Answers

Answer:

B. y = -6x+7

Step-by-step explanation:

change in x is positive 6 change in y is negative 1

6/-1 is the slope

-6 is the slope

Math Trick
43 x 67 = ?

Answers

Answer:2881

Step-by-step explanation:

Answer:

2881

Step-by-step explanation:

which is closer to 0 3/8 or -1/3

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8 = 9/24

1/3 = 8/24

-1/3 is closer to 0

3/8 is farther from 0

Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?

Answers

Answer:

points

Step-by-step explanation:

She picked 22 peaches first

Solve the equation by​ factoring.
[tex]2x^{2} +20x=7x+7[/tex]
(PLEASE SHOW YOUR PROCESS)

Answers

2x^2+20x=7x+7

2x^2-13x-7

(2x+1) (x-7)

2x+1=0

2x/2=-1/2

x=-1/2

x-7=0

x=7

5(x - 6) + 2 = 7x - 8
what is x

Answers

Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Distributive

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

Distribute 5:                              5x - 30 + 2 = 7x - 8Subtract 5x on both sides:       -30 + 2 = 2x - 8Add:                                           -28 = 2x - 8Add 8 on both sides:                -20 = 2xDivide 2 on both sides:             -10 = xRewrite:                                      x = -10

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         5(-10 - 6) + 2 = 7(-10) - 8Subtract:                            5(-16) + 2 = 7(-10) - 8Multiply:                             -80 + 2 = -70 - 8Add/Subtract:                    -78 = -78
5(x-6)=7x-8-2
5(x-6)=7x-10
5x-6*5=7x-10
5x-30=7x-10
5x-7x=-10+30
-2x=20
x=20/-2
x=-10

What is the solution to the equation shown below? (2/3)x + 5 = 1

Answers

Answer:

The solution is x = −6.

Step-by-step explanation:

Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?

Answers

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

which inequality is shown in the graph

Answers

Answer:

hgyuu by 7vb j 8gv c ryuug

y=>-x-4

the line is solid and the graph is shaded above the line so the symbol is => the slope decreases by 1 so it is -x and the y-intercept is -4

9x - 4 = 5x - 4 + 4x

Answers

Answer:

X = 1

Step-by-step explanation:

HOPE THIS HELPS

am i answering the same question over and over again?

whatever

PLZ MARK BRAINLIEST

TNMILLER this for youuuuuuu!

Answers

Answer:

??

Step-by-step explanation:

i am so confused... love ur pfp tho

Answer:

:D

Step-by-step explanation:

thank

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

3g-2+7g+8=
What is this

Answers

Answer:

10g+6 is the answer

Step-by-step explanation:

A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre

Answers

Answer: 8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.

I hope this helps :)

Describe the set of all complex numbers that are at a distance of 2 units from the origin.

Answers

Answer:

The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].

Step-by-step explanation:

From Complex Analysis, we remember that complex numbers are numbers whose form is:

[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)

Where [tex]i = \sqrt{-1}[/tex].

In addition, the distance from the origin is defined by the following Pythagorean identity:

[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)

The following condition must be satisfied:

[tex]\|s\| = 2[/tex]

Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:

[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)

The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

A complex number, written in rectangular form is

[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]

The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula

[tex]|z|=\sqrt{a^2+b^2}[/tex]

Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy

[tex]|z|=2[/tex]

thus, the set we are looking for is

[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

where [tex]\mathbb{C}[/tex] is the set of all complex numbers

Learn more about complex numbers here: https://brainly.com/question/12274048

Jack has 27 pencils. Shane has 3 more than twice the amount that Jack has. Which equation shows the relationship between the number of pencils Jack (j) has and the number of pencils Shane (s) has?

Answers

Answer:

s=27*2+3

rrefrewhtefghttrfdgh

What are the solutions to the equation? x2(x+2)(x+6)=0

Answers

Answer:

x1 = -6, x2 = -2

Step-by-step explanation:

hope this helps :)

Someone please help me, please

Answers

110 degrees, for triangles all sides should add up to 180 degrees, no matter what type of triangle it is, hope this helps!

please help me pls and ty ​

Answers

There are two opposite pairs and I am not sure if this is a select all question.
But here are the following:

B) C and F are pairs. That is -4 and 4
D) A and H are pairs. That is -8 and 8

Hope this helps!

Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds

Answers

$14

you need to set up a preportion

if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.

anyways what ya finna do is make a fraction

5                  8

---        =      ----

8.75             x

then u cross multiply. 8 x 8.75 = 70

70 = 5x

x= $14

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What did the poet have a a long timeago? Discuss. i need to know the answer to this rewrite 4^-3 using a positive exponent an evaluate the result. What was the result of the American victories at Trenton and Princeton? please help me pls and ty Wow...I forgot how to do this please help why do we need to understand the effects of globalization? Can some one please help me.....?? Solve the equation by factoring.[tex]2x^{2} +20x=7x+7[/tex](PLEASE SHOW YOUR PROCESS) A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre Answer my math question I asked so many times I lost most of points help by The circumference of a circle can be found using the formula C = 2r.Which is an equivalent equation solved for r? Describe an activity that relies more on carbohydrates in a persons diet and an activity that relies more on protein. In an essay, what do transitional tags like therefore and on the other hand connect?A) paragraphsB) wordsC) clausesD) sentences vkbfnkynbvkbj how do i unblocked websites on my school laptop? I dont know how to set it up nor do it please help me Read The Railway Train by Emily Dickinson. Which line suggests that the train has horse-like qualities? I like to see it lap the miles, And lick the valleys up, And stop to feed itself at tanks; And then, prodigious, step Around a pile of mountains, And, supercilious, peer In shanties by the sides of roads; And then a quarry pare To fit its sides, and crawl between, Complaining all the while In horrid, hooting stanza; Then chase itself down hill And neigh like Boanerges; Then, punctual as a star, Stopdocile and omnipotent At its own stable door. The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.DateClosing amount (in points)01/2713,895.9801/2813,881.9301/2913,954.401/3013,860.42Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?a loss of 93.98 pointsa loss of 72.47 pointsa gain of 72.47 pointsa gain of 93.98 points What is the solution to the equation shown below? (2/3)x + 5 = 1 the left-right inversion one word answer