Solve |x–1| = 6x + 12

Answers

Answer 1

Answer:

[tex]x = - \frac{11}{7} [/tex]

Step-by-step explanation:

1) Break down the problem into these 2 equations.

[tex]x - 1 = 6x + 12[/tex]

[tex] - (x - 1) = 6x + 12[/tex]

2) Solve the first equation. x - 1 = 6x + 12

[tex]x = - \frac{13}{5} [/tex]

3) Solve the second equation: -( x - 1 ) = 6x + 12.

[tex]x = - \frac{11}{7} [/tex]

4) Collect all solution.

[tex]x = - \frac{13}{5}. - \frac{11}{7} [/tex]

5) Check solution.

When x=-\frac{13}{5}x=−513, the original equation |x-1|=6x+12∣x−1∣=6x+12 does not hold true.

When x=-\frac{13}{5}x=−513, the original equation |x-1|=6x+12∣x−1∣=6x+12 does not hold true.We will drop x=-\frac{13}{5}x=−513 from the solution set.

6) Simplify.

[tex]x = - \frac{11}{7} [/tex]

Therefor, the answer is x = - 11/7.


Related Questions

10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?

Answers

Answer:

0.6

Step-by-step explanation:

2(x+19)=39.2

x+19=19.6

x=0.6

In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If this number drops by 16%, how many cars will the dealer sell then? Round to the nearest whole number.
A 203 cars
B 309 cars
C 273 cars
D 256 cars

Answers

Answer:

c. 273 cars

Step-by-step explanation:

First you need to find what 16% of 325 is

325x.16=52

because the number sold dropped by 16% you will subtract 52 from 325

325-52=273

you can also calculate the answer by subtracting 100% by 16%

100%-16%=84%

now you can calculate 84% of 325

325x.84=273

You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent

Answers

Answer:

8%

Step-by-step explanation:

For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.

For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.

20 = (500)(r)(0.5)

20 = 250r

r = 0.08 = 8%

Please solve this pleaseeeeeeeeeee

Answers

Answer:

x = 45

Step-by-step explanation:

x + 2x + x = 180

4x = 180

x = 45

Answer:

Since its a triangle, all the angles must add to 180. So x+x+2x=180. Solve for x and you got your answer.

Step-by-step explanation:

Which of the following is the product of (3x − 5) and (3x + 5)?

Answers

Answer:

[tex] {9x}^{2} - 30x + 25[/tex]

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

(3x + 5)(3x - 5)

By using identity

(a + b)(a - b) = a² - b²

3x² - 5²

9x² - 25

Write an equation to show how to find the total length, in meters, of the 8 pieces of wood.

Answers

Answer:

256

Step-by-step explanation:

8↑2 + 8↑2 +8↑2+8↑2+8↑2+8↑2+8↑2+8↑2

8x2x2=32 8x2=16x2=3232x8= 256   +1  32  x       8______   2 5 62x8=16 **then add the +1 to the 3**3x8=24

Give the domain and range of the relation then determine if the relation is a function (-3,3), (1, 1), (0, -2), (1, -4), (5, -1)

Domain:_____
Range:_____
Function?_____

PLEASE HURRY

Answers

Domains: {-3, 1, 0, 1, 5}
*domain is the x-value, input, independent

Ranges: {-4, -2, -1, 1, 3}
*range is the y-value, output, dependent

LIST BOTH FROM LEAST TO GREATEST

Functions are when each input(x) has one and only one output(y)
If you were to graph a function, no points would line up vertically with one another.

This question would not be a function because an input (number 1 in this case) has more than one output (1 AND -4)

So function? No.

Hi i need help with this please?!??!!

Answers

Answer:

May be your answer is option 3


Xuan sold 9 used books for $9.80 each. With the
money from these sales, she bought 4 new books and
had $37.80 left over. What was the average amount
Xuan paid for each new book?
A. $ 5.60
B. $ 9.45
C. $10.08
D. $12.60
E. $22.05

Answers

Answer:

I think the answer is A, $5.60

Step-by-step explanation:

9.80 x 9= 88.20

88.20 - 37.80 = 50.40

5.60 x 9 = 50.40

The average amount paid for the books is $12.60

Since Xuan sold 9 used books for $9.80 each, the total amount that's paid for the books will be:

= $9.80 × 9

= $88.20

Since she bought 4 new books and had $37.80 left over, the cost of the books will be

= $88.20 - $37.80

= $50.40

Since she bought 4 books, the average amount paid for the books will be:

= $50.40/4

= $12.60

Therefore, the correct option is D

Read related link on:

https://brainly.com/question/20118982

what is the area of the shaded region in the figure below

Answers

Answer:

4 cm^2

Step-by-step explanation:

2 x 2 x 0.5 x 2 = 4 cm^2

Hi there!

[tex]\huge\boxed{4 \text{ cm}^{2}}[/tex]

Find the area of the shaded area using the given dimensions:

The shaded area is divided up into two triangles, each with a base of 2 cm and a height of 2 cm. Use the following equation to solve for area:

A = 1/2(bh)

A = 1/2(2 · 2)

A = 1/2(4) = 2 cm²

There are two triangles, therefore:

2 × 2 = 4 cm²

A hair dryer wastes 376J for every 1500J of electrical energy it uses. How efficient is the hairdryer?

Answers

Answer:

[tex] \boxed{efficiency, \gamma = 74.93 \%}[/tex]

Step-by-step explanation:

[tex] efficiency, \: \gamma = \frac{1500 - 376}{1500} \times 100 \\ \gamma = \frac{1124}{1500} \times 100 = 74.93 \\

efficiency, \gamma = 74.93 \%[/tex]

I need to know how many more there are.

Answers

Wdym????????????????

help i need help ASAP

Answers

Answer:

That is the halfway mark between -6 and -7.

Step-by-step explanation:

-4 - 2.5

-6.5, or is -6 1/2.

That is the halfway mark between -6 and -7.

Which ones are correct?

Answers

Answer:

120 x 10^3

7 x 10^5

9 x 10^4

Step-by-step explanation:

 

Y
5-
4+
3+
2-
1+
T
-5 -4 -3 -2
3
4
5
- 2
-3+
-4
-5
Find the inequality represented by the graph.
Will mark brainliest
15 points

Answers

Answer:

ongaginga jeje críquet 5 minutos para el palmar

Bino has answered 15 % of the questions on her ELA homework If she has 25 questions for her homework , how many has she answered?

Answers

She has answered 3.75/25

Please help I’m on a test


“Given the triangle below, what is the longest side length?”

Answers

~11.31

Pythagorean Theorem because it is a right triangle.

ILL GIVE U BRAINLIST!! PLEASE HELP :(

Answers

Answer:

5 faces, 8 edges, 5 vertices

1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?​

Answers

Answer:

450

Step-by-step explanation:

60 x 7.5=450

This is due in 10 minutes please help me

Answers

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Suppose x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]

Multiplying both sides by 100, we get

[tex]7x+16x+27x=15000[/tex]

[tex]50x=15000[/tex]

Dividing both sides by 50, we get

[tex]x=\dfrac{15000}{50}[/tex]

[tex]x=300[/tex]

So, the amount invested at 7% is [tex]300[/tex].

The amount invested at 8% is

[tex]2(300)=600[/tex]

The amount invested at 9% is

[tex]3(300)=900[/tex]

Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

Can someone explain this pls

Answers

Answer:

n=number of terms (60)

Step-by-step explanation:

an= -4+12(n-1)

a60= -4+12(60-1)

a60= 704

Answer right get brainiest !!!! 12 points

Two trains on opposite tracks leave the same station at the same
time. One train travels at an average speed of 80 kilometers per
hour and the other travels at an average speed of 70 kilometers
per hour. How long after they leave the station will they be 50
km apart?
Answer right get brainiest

Answers

80*t+70*t=50
t = .33 hours =20 minutes
This assumes the trains are going opposite directions (opposite tracks so I’m assuming opposite directions)

2
7
Kami received 2,300 votes in
a town election. She
received 190 more than of the total
number of votes. Determine the
total number of residents that voted
in the town election.
5
-

Answers

Answer:

2490

Step-by-step explanation:

2300 votes plus 190 votes will be 2490 vote .one person is equals to one vote

Melinda said she ate 2/8 of a pizza. What does the 8 in the fraction represent?

Answers

Answer:

It represent the slices of how much pizza were there (the total).

Also known for a denominator

Cual es la ley que establece que la suma o producto de dos números reales no dependen del orden en que se presentan los factores en la multiplicación y los sumados en la aducción ?

Answers

Answer:

Conmutativa

Step-by-step explanation:

Propiedad conmutativa : El orden de los factores no varía el producto o la suma. Un ejemplo seria 3 x 10 da lo mismo que 10 x 3 que es 30.

Con la suma 3+ 5 es lo mismo que 5+3 que es 8.

Nada mas funciona con SUMA o MULTIPLICACION. Nunca en la resta.

tell the answer of this please:
5- {2*[(-5power2) -7 ] /3}

Answers

Answer:

-60

Step-by-step explanation:

Given the expression

5- {2*[(-5power2) -7 ] /3}

= 5- {2*[(25) -7 ] /3}

= 5- {2*[18 ] /3}

= -5 [2*6]

= -5(12)

= -60

Hence the required answer is -60

Find the equation of a line that passes through the point (-2,4) and has a gradient of -3.
Leave your answer in the form
y
=
m
x
+
c

Answers

Equation of a line is y = mx +c

m is the gradient, which is given as -3 so now you have:

y = -3x + c

Replace y and x with the given point and solve for c:

4 = -3(-2) + c

Simplify:

4 = 6 + c

Subtract 6 from both sides:

c = -2

The equation becomes:

y = -3x-2

Amr sells 6 pounds of turkey for $ 48.75. What is the unit price ?​

Answers

If unit price means each pound then it’s 8.125

Answer:

the unit price would be 8.125

Step-by-step explanation:

What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?

x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10

Answers

Answer:

x - 2 and x + 5

Step-by-step explanation:

Given Area Of rectangle

= x² + 3x - 10

= x² + ( 5 - 2)x - 10

=x² + 5x - 2x - 10

= x ( x + 5 ) - 2 ( x + 5 )

= ( x + 5 ) ( x - 2 )

Hope it will help :)❤

Answer:

B. x-2 and x+5

Step-by-step explanation:

Solve the equation. Show the steps of the solution process.
Solve: -14 = -3(6 + 6k) + 4

Answers

Answer:

very easy just simplify and solve

Step-by-step

k=0

K=0

Best luck with your studying
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