3(x+1)-2x=-6
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Answers

Answer 1

Answer:

x = -9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(x + 1) - 2x = -6

Step 2: Solve for x

Distribute 3:                    3x + 3 - 2x = -6Combine like terms:       x + 3 = -6Isolate x:                          x = -9

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(-9 + 1) - 2(-9) = -6Add:                                     3(-8) - 2(-9) = -6Multiply:                               -24 + 18 = -6Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = -9 is the solution to the equation.


Related Questions

Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).

Answers

Step-by-step explanation:

Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.

Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.

Hence the equation is y + 5 = -2/3 * (x - 4). (B)

Write the equation in point-slope form of the line that contains the points (3,-5) and (5,- 1)

Answers

Answer:

y+5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

The linear function passing through points  (3,-5) and (5,- 1) is given by:

y = 2x+ 13.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(3,-5) and (5,- 1)

The slope is given by change in y divided by change in x, hence it is given by:

m = (y₂-y₁)/ (x₂-x₁)

m = (-1+5)/(5-3)

m = 4/2

m = 2

Then:

y = 2x + b.

When x = 3, y = -5, hence we can find the intercept b of the function as follows:

3 = 2 x -5 + b

b = 3+ 10

b = 13

Hence the equation is:

y = 2x+ 13

More can be learned about linear functions :

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Help will give crown

Answers

Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour

Answers

Answer:

5 inches per hour

Step-by-step explanation:

Answer:

1.5 inches per hour

Step-by-step explanation:

Egghead Egghead Egghead

Answers

Answer:

the first one is an egghead, gordon ramsey is not an egg

Step-by-step explanation:

Use the distributive property to remove the parentheses. -5(-6y - 3w + 2)

Answers

Answer:

−5(−6y−3w+2)

=(−5)(−6y+−3w+2)

=(−5)(−6y)+(−5)(−3w)+(−5)(2)

=30y+15w−10

=15w+30y−10

How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5 % per annum of simple interest?
[Irrelevant answers will be reported]​

Answers

Answer:

2 years

Step-by-step explanation:

Let us take the time period be t .

And , we know formula of SI as ,

[tex]\boxed{SI = \frac{PRT}{100}}[/tex]

[tex]\implies Rs 810 = \dfrac{Rs 9000 \times 4.5 \times t }{100}\\\\\implies t = \dfrac{810 \times 100 }{9000\times 4.5 } \\\\\underline{\boxed{\red {\implies Time = 2 \ years }}}[/tex]

Will give crown help

Answers

Answer:-8,-2,4,10

Step-by-step explanation:

is this table a function? why or why not?

Answers

No. There has to be only one output for each input. Because the number two is an input twice and has two different outputs, this can not be a function
no because 2 has two different inputs

Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!

Answers

Answer:

A or the first one

Step-by-step explanation:

Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly

Please answer these questions I will mark brainliest

Answers

1. C

2. A

3. A

i’m pretty sure for 1,2. 3 i’m a little iffy but i think it’s A bc “homogenizing”

Give the equation in slope intercept form for each representation. Tell me if you can’t see the pic at the top.

Answers

QUESTION 5:
M : -2.75
B : 1
equation : y = 2.75x + 1

QUESTION 6:
M : 1.3
B : -2
equation: y = 1.3x -2

QUESTION 7:
M : 0.5
B : 4
equation : y = 0.5x + 4

i couldn’t see 8 all the way but i hope this helped !! <3

6 of 12
Write in index form
(-4) × (-4) × (-4) x (-4) × (-4) x (-4)

Answers

Given:

The expression is

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]

To find:

The index form of given expression.

Solution:

Index form is the exponent form, it means, the number is represented in power of a number.

We have,

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]

Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.

[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]

Therefore, the index form of given expression is [tex](-4)^6[/tex].

Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70

Answers

yes, the answer is D
Ur answer would be D

I need the measure of angle 1

Answers

Answer:

Angle 1 is 69°

Step-by-step explanation:

9x + 66 = -9x + 156

9x + 9x = 156 - 66

18x = 90

18x/18 = 90/18

x = 5

-9x + 156

-9(5) + 156

-45 + 156

111

180 - 111 = 69.

Please help! asap ill brainlist you :(


At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.

Answers

Answer:

5

Step-by-step explanation:

hope this helps!!!

Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?

Answers

Step-by-step explanation:

A. Where do you see circles and semicircles in the world around you?

1. Ring.

2. Earing

3. Coin

4. Hockey puck

5. Car tyre

6. Dartboard

7. Wreath

8. Plate

9. Hula hoop

10. Mercedes logo

11. Bass drum

12. Drain

B. Why could finding the area or circumference be helpful?

Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them

Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban

Answers

the answer is D :)!!
I really don’t know what that’s says but I will just with the person who did it first

Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z?

A y=2.5x-23
B y=2.5x+23
C y=2.5x+3
D y=2.5x- 28.5

Answers

Answer:

C. y=2.5x+3

Step-by-step explanation:

1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1

Answers

Answer:

X .

-1 | 2

-11-1

-11-4

0 3

2 1-1

-13

0

0

-4-1

--3 0

-1 2

-1 1

0 3

2-5

0 0

2

2

3

3

A. III

B.IV

C.

D

1\

Step-by-step explanation:

which ratio is same as 2/3

Answers

6:15:2 is the same as 2:3

The ratio 4/6 is the same as 2/3 because they have the same proportion.

To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.

1. Multiplying by the same number:

  If you multiply both the numerator and the denominator of 2/3 by 2, you get:

= (2 × 2) / (3 × 2)

= 4/6

So, the ratio 4/6 is the same as 2/3.

2. Dividing by the same number:

  Divide both the numerator and the denominator of 2/3 by 3, you get:

= (2 ÷ 3) / (3 ÷ 3)

= 2/3

So, the ratio 2/3 remains the same.

In conclusion, the ratio 4/6 is the same as 2/3.

Learn more about Ratio here:

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Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32 ​

Answers

Answer:

Could you retype the equation so it isn't jankey?!

Step-by-step explanation:

transversals angles​

Answers

3 or in this case the answer is C

the answer of your question is angle 3

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0

Answers

Answer:

x=1/2 or x=−1

Step-by-step explanation:

The solution to the quadratic equation is x = -1 or 1/2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

To learn more about quadratic equations click :

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Which number line shows the points −125 and –2.8?

Answers

You didn’t send a picture so we can’t tell

Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8

Answers

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer:

x = -8

Step-by-step explanation:

[tex] \frac{3}{4} x - 12 = - 18[/tex]

i) multiply both sides of equation with 4

[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]

[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]

[tex]3x - 48 = - 72[/tex]

ii) move -48 to the right-hand side and change its sign

[tex]3x = - 72 + 48[/tex]

iii) calculate the sum

[tex]3x = - 24[/tex]

iv) divide both sides of equation with 3

[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]

[tex]x = - 8[/tex]

1. y = 5x + 2, (2,7)

Answers

y=5x−2 , y=−2x+5

Eliminate the equal sides of each equation and combine.

5x−2=−2x+5

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

7x−2=5y=−2x+5

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

7x=7y=−2x+5

Divide each term by

7

and simplify.

Tap for more steps...

x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

Simplify −2⋅1+5.

Tap for more steps...

x=1y=3

The solution to the system of equations can be represented as a point.(1,3)

The result can be shown in multiple forms.

Point Form:(1,3)

Equation Form:

x=1,y=3

the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle

Answers

Answer:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

What is gross income? Gross income is money earned before taxes are taken from a paycheck. Gross income is money earned after taxes are taken from a paycheck. Gross income is money paid to fund firefighters and police officers. Gross income is money paid for taxes.

Answers

Answer:

Gross income is money earned before taxes are taken from a paycheck

Step-by-step explanation:

Gross income is money earned before taxes are taken from a paycheck

Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.

Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.

For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted

Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?

Answers

Here is an example for your question



Average with respect to what? If we take the time-weighted average, the two legs of the trip will be weighted differently (the leg from A to B taking 60/40 = 3/2 times as long as the leg from B to A), and we will get an average of 48 MPH.

But the time-weighted average is not the only average we can consider. We could also consider the distance-weighted average (which might be useful if we were considering, say, the wear on the road caused by such travel); then the two legs would be weighted equally and the average would be 50 MPH.

Often, when people speak about average speed, it's the former of these notions which is implicitly meant (since speed itself is distance over time, we have the nice property that the time-weighted average of speeds will always be the total distance over the total time), but the latter is a perfectly legitimate notion as well. Averages are always averages with respect to some weighting, and different weightings will give different averages.

Answer:

         41 mph

Step-by-step explanation:

s₁ = s₂ = x       {the distance from A to B}

s = s₁ + s₂ = x + x = 2x      {the distance of the round trip}

t = t₁ + t₂               {the time of the round trip}

v₁ = 30 mph      

v₂ = 65 mph

t₁ = s₁/v₁ = x/30 h       {the time of trip from A to B}

t₂ = s₂/v₂ = x/65 h      {the time of trip from B to A}

The average speed:

[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]

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Ms manning arranges the desks in her classrooms in rows and columns. There are 4 rows. There are 6 desks in each row. How many desks are there in Manning classroom? Who made the better argument Lincoln or Douglas ? Explain why please help me i will give brain list The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus? I WILL GIVE BRAINLIST!!Showthat (2x+i)(2xi) = 4x2 +1 The band director of Eagle Rock High School asks her students to have a carwash as a fundraiser. They are going to charge $7.50 per car. The graph that represents the situation is shown below. Which of the following statements about the graph are true? Select all that apply. o The graph represents a function since every input value corresponds to exactly one output value. o The graph has an x-intercept. o The graph has a y-intercept. o The y-intercept represents the amount of money raised by the carwash. o The amount of money in the band fundraiser account represents the input values. o The number of cars washed relates to the amount of money in the band fundraiser account. Which scenario would result in a population growth of zero?Use this formula:population growth = (birth rate + immigration) (death rate+emigration) how did Amelia Earhart represent the changing roles of women in the 1920s. Please help me with this 4a I do not understand the process What does he accomplish by including references to these other texts? Write the correct conjugation of the verb, choosing between saber and conocer based on the context of the sentence. Usted _________ a mi vecino? How might we correct the sentence below? (37)I ran to the store and bought some milk.A. I ran to the store, and bought some milk.B. I ran to the store; and bought some milk.C. I ran to the store yet bought some milk.D. Leave the sentence as it is. HELP ASAP!! ill mark you the brainliest!! Developing study routines is a way to organizea. Yesb. No What is the sum of 2x-5y+x+y Read the following dialogue carefully. Then answer the following question.Erich: Heute ist ein schner Tag.Sven: Ja, meine Gromutter, mein Onkel und ich gehen in den Verggungspark.Erich: Ich muss heute mein Zimmer aufrumen, das Badezimmer putzen und den Mll raustragen.Sven: Ich hasse es mein Zimmer aufzurumen!Erich: Ich muss jede Woche bei der Hausarbeit helfen.Is the following statement True or False?Erich muss jede Woche bei der Hausarbeit helfen.TrueFalse PLEASE HELP THE EXAM IS TOMORROW!!!What prompted the call to rewrite the Articles of Confederation? What was the important one? Find The Angle (See Image)