what is the solution to |2x-8|<6 ?

Answers

Answer 1

Answer:

1 < x < 7

Step-by-step explanation:

Hello!

There are two cases for this equation:

2x - 8 < 62x - 8 > -6

Solve for x in each case.

Solve for x2x - 8 < 6
2x - 8 > -62x < 14
2x > 2x < 7
x > 1

The solution set is 1 < x < 7.


Related Questions

Kevin worked his 40 regular hours last week, plus 4 hours at the time-and-a-half rate. His gross pay was $756. What was his hourly rate?

Answers

Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate. He received $756 in gross pay. The hourly rate of Kevin is $126.

Given that,

Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate.

He received $756 in gross pay.

We have to find the hourly rate of Kevin.

Let h be the hourly rate.

Then

1.5h be the overtime rate.

Reg pay+ Overtime pay=Total pay

40h+4(1.5h)=756

40h+6h=756

46h=756

h=756/40

h=$126

Therefore, the hourly rate of Kevin is $126.

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11.
15 cm
4/cm
Find the Total Surface area of the cylinder.

Answers

The total surface area of the cylinder is [tex]477.28cm ^2[/tex]

The surface area of ​​a cylinder can be defined as the amount of space covered by the plane of the base of the cylinder and the curved surface of the cylinder. The total area of ​​a cylinder includes the area of ​​his two bases of a circular cylinder  and the area of ​​the curved surface. Surface area is expressed in square unitsThe total surface area of ​​a cylinder is the sum of the areas of its circular top and bottom and  curved surfaces.  T.S.A = face up + face down + C.S.A  The total  area of ​​a cylinder of radius r and height h is given by [tex]T.S.A = 2 \pi r(r + h)[/tex]     ...(1)  where [tex]\pi = 3.14[/tex]

It is given that radius is 4 cm and height is 15 cm .

Putting r = 4 cm and h = 15 cm in equation (1) , we get

[tex]A=2\pi \times4(4+15)\\A=8\times3.14\times19\\A=477.28cm^2[/tex]

Hence , the area is 477.28

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The complete question is mention below :

What is the total surface area of cylinder with radius 4cm and height 15cm​

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y-4=(x-8). What
is the slope-intercept form of the equation for this line?
O y=1/4x-12
Oy=1/4x-4
O y =
O y =
1/4x + 2
1/4x + 6

Answers

The answer is 1/4x + 6

By how many degrees did the temperature change overall?​

Answers

Answer:

23

Step-by-step explanation:

because that is the answer I think

Answer:

23degrees

Step-by-step explanation:

Because that is what I think and l haven't learned much but I think it's 23 degrees

Solve the inequality x + 1/2 < -3.

Answers

Answer:

x=2.5

Step-by-step explanation:


The difference between two numbers is 25. The smaller number is th of the larger number. What is the value of the smaller number?

Answers

Answer:

I think the question is incomplete!

Step-by-step explanation:

But the answer might be 5!

Mystery Number:
I round to 375,400 when
rounded to the nearest hundred
have an odd hundreds digit,
tens digit, and ones digit
My tens and ones digits are
the same and both less than 7
What number am I?

Answers

Answer:

Step-by-step explanation:

375355

Can anyone help me to solve this?

Answers

Answer:

  f(1/x) = (7x+3)/(2x+6)

  g(x-2) = √(x² -13x +22)

Step-by-step explanation:

Given equations for f(x) and g(x), you want to find simplified equations for f(1/x) and g(x-2).

F(1/x)

Substituting the argument for the variable, we have ...

  [tex]f\left(\dfrac{1}{x}\right)=\dfrac{3\cdot\dfrac{1}{x}+7}{6\cdot\dfrac{1}{x}+2}\\\\\boxed{f\left(\dfrac{1}{x}\right)=\dfrac{7x+3}{2x+6}}[/tex]

G(x-2)

Substituting the argument for the variable, we have ...

  [tex]g(x-2)=\sqrt{(x-2)^2-9(x-2)}=\sqrt{x^2-4x+4-9x+18}\\\\\boxed{g(x-2)=\sqrt{x^2-13x+22}}[/tex]

Name 2 lines that are perpendicular

Answers

Step-by-step explanation:

You didn't put any answer choices but two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°.

3(−5.8 + w) = 22.62

w = −1.3
w = 1.3
w = 5.6
w = 13.34


hurry pls

Answers

Check out the attached photo

EUREKA MATH
A1 M1 TB Lesson 1
5. Ana sells T-shirts and sweatshirts for the soccer team. The price of one sweatshirt is $10 more
than the price of one T-shirt. She sells 50 T-shirts and 40 sweatshirts for a total of $1480. What
is the price of one T-shirt? What is the price of one sweatshirt?

Answers

The price of the T-shirt is $ 12

The price of the Sweatshirt is $ 22

Let the Price of a T-shirt is  $x, then the Price of a Sweatshirt is $(x+10)

In The Given Question, 50 T-shirts and 40 Sweatshirts are sold at $1480

Then,

50x + 40(x+100) = 1480

50x + 40x + 100 =1480

90x + 400 = 1480

90x = 1480 - 400

90x = 1080

x= [tex]\frac{1080}{90}[/tex]

x = 12

The price of the T-shirt is $ 12 and the Price of the Sweatshirt is $ 22

The price of the T-shirt is $ 12

The price of the Sweatshirt is $ 22

A price is the amount of money that is (often not negatively) exchanged from one party to another in exchange for their goods or services. The cost of production may go by another name in some circumstances. If a product is classified as a "good" in a commercial exchange, its price is most likely to be referred to as such. However, there will be alternative titles for this thing if it is a "service." For instance, the graph at the bottom will display various circumstances.

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Suppose Kenny has 25 coins in nickels and dimes only and has a total of $1.65. How many of each coin does he have?

Answers

Answer: There are 17 nickels and 8 dimes

David's brother wants him to
build a pool deck which will
take 8 days to complete. His
brother will pay him in one of
two ways. David can earn $70
a day or start with $3 for the
first day and double his pay
each day plus $3. Which
payment method should David
select?

Answers

what is the prevention of corruption finish give my answer to me

.

70 x 8 = 560
3+6+9+12+15+18+22+25=110
1st choice

august is going to sell some items at a car boot sale. She has a rectangular table which measures 0.45m by 1.8m. The company running the sale want to know the area of the table. What is the area of Augusts table?

Answers

Answer:

0.81m²

Step-by-step explanation:

0.45 × 1.8 = 0.81m²

State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Original 15, New:45

Answers

Answer:

The percent of change is a percent of increase. The percent of change is 200%.

Step-by-step explanation:

Hope this helps!

Tecto sor frentice Hal
delamah.com
B:ok marks
On eLo gin A Desmos | Graphing.
Solve System of Equations from Context
Sep 21, 5:21:12 AM
Gavin works as a salesperson at an electronics store and sells phones and phone accessories. Gavin earns a $12 commission for every phone he sells and a $3.50 commission for every accessory he sells. On a given day, Gavin made a total of $135 in commission and sold 12 more accessories than phones.
Determine the number of phones sold and the number of accessories sold.

Answers

Answer:

it make do yourself ddhdjsjjsjsjsjsjsjsbsddjaoqbsgbeepoftkjs

write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form

Answers

The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

How to determine the equation of the second line?

The first equation is given as

y = 8x - 4

The slope of the above equation is

m = 8

Parallel lines have equal slope

So, the slope of the other line is

m = 8

The equation is then calculated as

y = m(x - x1) + y1

Where

m = 8

(x1, y1) = (-7, -4)

So, we have

y = 8(x + 7) - 4

Expand

y = 8x + 56 - 4

Evaluate the difference

y = 8x + 52

Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

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5x100+4x10+6x1+2 x 1 10th + 8 x 1 1000th

Answers

Step-by-step explanation:

500+40+6+220+88000=

88766

The weight for 13 cartons of meat is 32.5kg. What will be the weight of 4 similar cartons of meat?​

Answers

Answer:

8.125 i think im not to sure

Step-by-step explanation:

A local coffee shop has 5 syrup flavors, regular or decaf coffee, and 4 types of milk. How many different syrup-coffee-milk drinks are possible

Answers

Answer:

40

Step-by-step explanation:

Multiply each number of choices to get the total amount of choice combinations available.

5 syrup flavours * 2 types of coffee * 4 types of milk = 40 combinations.

5 * 2 * 4 = 40.

Math on the Spot There are tiger barbs in a aquarium and giant danios in a aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums. Use the rule and the table to solve this problem. The rule for the number of fish in an aquarium is to allow of water for each of length.
Math on the Spot There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium. Write a numerical expression to represent the greatest total number of fish that could be in both aquariums. Use the rule and the table to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.
Good Question (121)
Answer
4.8
(418) votes
Easy to understand (87)Write neatly (86)Help me a lot (68)Clear explanation (64)Excellent Handwriting (51)Correct answer (25)Detailed steps (23)

Answers

A numerical expression to represent the greatest total number of fish that could be in both aquariums is Number in Tiger barb + number in giant danios.

The Greatest number of fishes that could be in both aquariums is 14.

We are given that;

Tiger barbs = 30 gallon aquarium

Giant danios = 20 gallon aquarium

Tiger barb = volume / length

Tiger barb = 30 / 3

Tiger barb = 10 fishes

Giant danios = volume / length

Giant danios = 20 /5

Giant danios = 4 fishes

Numerical expression is:

Number in Tiger barb + number in giant danios

= 10 + 4 = 14

Therefore, the correct numerical expression that represents the greatest total number of fish that could be in both aquariums is Number in Tiger barb + number in giant danios.

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Your question was incomplete. Please refer the content below:

There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium

Use the rule to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.

Giant Danio=5 inch length

Tiger barb=3 inch length

What is the correct numerical expression that represents the greatest total number of fish that could be in both aquariums?

On Monday, Saffron bakes
324 pastries in the morning and some more in the
afternoon. She sells 584 pastries. At the end of the
day she has 52 pastries left. How many pastries did
she bake in the afternoon?

Answers

When the Saffron bales 324 pastries in the morning and some in the afternoon, if she sells 584 pastries and at the end of the day she has 52 pastries left, the total number of pastries in the afternoon is 312

The  total number of pastries she sells=584 pastries

The number of pastries left at the end of the day=52 pastries

The total number of pastries she bakes=584+52

=636 pastries

Number of pastries she bakes in the morning=324 pastries

Subtract the number of pastries bakes in the morning from the total number of pastries she bakes

Number of pastries she bakes in the morning=636-324

=312 pastries

Hence, when the Saffron bales 324 pastries in the morning and some in the afternoon, if she sells 584 pastries and at the end of the day she has 52 pastries left, the total number of pastries in the afternoon is 312

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Beinggreat78's profile pictures are always 10/10

Answers

[tex]3\% = \frac{3}{100} = 0.03[/tex]

Option A

Answer:

A

Step-by-step explanation:

because 3 percent is 3/100 so move the decimal point 2 over to make it 0.03.

Given the following function equations, state all of the transformations present on the graph of f(x)

4f(x-1)
-f(2x)
f(-x)+2

Answers

Answer:

See explanation

Step-by-step explanation:

f(x) ==> 4f(x-1)

1. f(x) ==> f(x-1)      Translate the graph 1 unit to the right

2. f(x-1) ==> 4f(x-1) Vertical stretch by a factor of 4

f(x) ==> -f(2x)

1. f(x) ==> f(2x)     Horizontal compression by a factor of 1/2

2. f(2x) ==> -f(2x)    Reflection over the x-axis

f(x) ==> f(-x)+2

1. f(x) ==> f(-x)     Reflection over the y-axis

2. f(-x) ==> f(-x)+2    Translate the graph 2 units up.

Answer:

1)  Translated 1 unit right and stretched vertically by a factor of 4.

2)  Compressed horizontally by a factor of ¹/₂ and reflected in the x-axis.

3)  Reflected in the y-axis and translated 2 units up.

Step-by-step explanation:

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of $a$} \\& \textsf{If }a > 1 \textsf{ it is stretched by a factor of $a$}\\& \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of $a$}\end{aligned}[/tex]

[tex]\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of $\dfrac{1}{a}$} \\ & \textsf{If }a > 1 \textsf{ it is compressed by a factor of $\dfrac{1}{a}$}\\ & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of $\dfrac{1}{a}$}\end{aligned}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}[/tex]

Transformation 1

Given:  

[tex]4f(x-1)[/tex]

Transformations

[tex]f(x-1) \implies f(x) \: \textsf{translated}\:1\:\textsf{unit right}[/tex]

[tex]4\:f(x) \implies f(x) \: \textsf{stretched vertically by a factor of}\: 4[/tex]

Transformation 2

Given:

[tex]-f(2x)[/tex]

Transformations

[tex]f(2x) \implies f(x) \: \textsf{ compressed horizontally by a factor of $\dfrac{1}{2}$}[/tex]

[tex]-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

Transformation 3

Given:

[tex]f(-x)+2[/tex]

Transformations

[tex]f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

[tex]f(x)+2 \implies f(x) \: \textsf{translated}\:2\:\textsf{units up}[/tex]

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You brake your car from a speed of 55 mph. The table shows data that represent your car's speed versus the amount of time elapsed from the moment that you began to brake.
Elapsed Time (sec)

Speed (mph)
1

45
2

35
3

25
4

15
5

15
6

15
What is the slope of the line segment that represents the period of time during which the speed decreases?

a.The slope is 0. b.The slope is -10. c.The slope is 10. d.The slope is -11.

Answers

The line segment's slope represents the period during which the speed decreases is b. The slope is -10.

What is the line segment's slope?

The slope of a line segment measures the steepness of the line segment.

The slope is the ratio of the rise (the change in vertical height, y, between the endpoints) over the run (the difference in horizontal length, x, between the endpoints.

Data and Calculations:

Elapsed Time (sec)     Speed (mph)

1                                        45

2                                       35

3                                       25

4                                       15

5                                       15

6                                       15

The Slope of the line segment during speed decreases = y₂ - y₁ ÷ x₂ - x₁.

= (35 - 45) / (2 - 1)

= -10/1

= -10

Thus, b. The slope is -10.

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What is the solution to this inequality?
-2x-3 ≥ 6 or 3(x-4) < -6
OA. * > - 2/1
OB.
Oc. or x > 2
C.
OD.
-/<< 2
x
<2
-

Answers

We get that the solution for this inequalities will be x ≤ - 4.5.

We are given the inequalities:

- 2 x - 3 ≥ 6 or 3 ( x - 4 ) < - 6

For - 2 x - 3 ≥ 6:

Add 3 to both sides:

- 2 x - 3 + 3 ≥ 6 + 3

- 2 x ≥ 9

Divide both sides by - 2

- 2 x / - 2 ≤ 9 / - 2

x ≤ - 4.5

For 3 ( x - 4 ) < - 6:

Divide both sides by 3

x - 4 < - 6

Add 4 to both sides:

x - 4 + 4 < - 6 + 4

x < - 2

We get

x ≤ - 4.5 or x < -2

x will then be:

x ≤ - 4.5

Therefore, we get that the solution for this inequalities will be x ≤ - 4.5.

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You spend 15 minutes doing homework. You spend 3 hours watching television. Write the ratio of the amount of time spent doing homework to the amount of time
watching tv as a fraction in simplest form

Answers

The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.

The time spent on doing the homework is 15 minutes.The time spent watching television is 3 hours.To calculate the ratio, we must have the same units for both quantities.We have to convert the time spent watching television from hours to minutes.1 hour is 60 minutes.3 hours has 3*60 minutes.3 hours have 180 minutes.So, the time spent watching television is 180 minutes.The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.We need to simplify the fraction.15/180 is equal to 1/12.Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.

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Solve the equation showing ALL steps, and check for extraneous solutions.

2|2 - 4x| = 2x + 6

Answers

ok 2ke9192hehbrhejejjehrge

Match the following activities to their effect on the general ledger accounts.

Answers

Sort the ensuing actions according to how they affect the general ledger accounts. Drag and drop software.

Allocate overhead costs to jobs

Debit Raw Materials Inventory

Pay factory utilities

Credit Factory Overhead

Purchase indirect material

Debit Factory Overhead

Use indirect materials

Debit Work in Process Inventory

Direct labor used

Credit Raw Materials Inventory

The following actions' effects on the general ledger accounts are matched to them:

1. When you divide up overhead expenses among jobs: Give factory overhead credit.

2. When paying production overhead: debit the factory utilities.

3. When you buy indirectly produced material: Debit the inventory of raw supplies.

4. Using indirect materials results in: Credit the inventory of raw commodities.

5. Direct labor used: Debit Work in Process Inventory.

Explanation:

1. When you divide up overhead expenses among jobs: Give factory overhead credit. Factory overhead is a cost that cannot be directly attributed to the goods but is incurred throughout the manufacturing process of completed goods.

2. When paying production overhead: debit the factory utilities. Factory overhead is defined as a cost incurred during the production of completed goods that is not directly related to the products.

3. When you buy indirectly produced material: Debit the inventory of raw supplies. The cost of all resources, such as component components, that a company has on hand but have not been used in the manufacture of finished items or work in progress is included in the raw materials inventory.

4. Using indirect materials results in: Credit the inventory of raw commodities. The total cost of all resources, like as component components, that a company has on hand but haven't been used to produce finished goods or work in progress is known as raw materials inventory.

5. Debit work in process inventory for direct labor utilized.

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Diana ran 300 yards in 65 seconds. Then she ran 300 yards in 55 seconds.
How much faster was Diana's second time

Answers

Diana's second time was faster by 0.84 yards.

How to calculate the speed?

Th speed of the first race will be:

= Distance / Time

= 300 / 65

= 4.62 yards per second

The speed of the second race will be:

= 300 / 55

= 5.46 yard per second.

The difference will be:

= 5.46 - 4.62

= 0.84 yards

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