Solve the absolute value inequality 3x-1<8

Answers

Answer 1

Answer:

3

Step-by-step explanation:

3x - 1 < 8

Solve this inequality like a two-step equation.

Add 1 to both sides to cancel the -1.

3x - 1 < 8

3x < 9    Divide both sides by 3 to cancel the 3 in 3x.

x < 3

Find the absolute value (distance the number is from 0).

Absolute value = 3

I hope this helps and please mark me as brainliest!


Related Questions

The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics​

Answers

Answer:

the answer is D

Step-by-step explanation:

Which law requires credit card companies to be honest about fees and
interest charges?

Answers

Answer: The Truth pf Lending Act


Explanation: A federal law passed in 1968 to ensure that consumers are treated fairly by businesses in the lending marketplace and are informed about the true cost of credit

What is the equation of the line?
O y = 3x

O Y= 1/3x

O y=1/3x+2

O y = 3x+2

Answers

y = 1/3x + 2

Y = Mx + b
b would equal a positive 2 since the graph starts two units of the x-axis.

Then use the rise over run method for the rest. This means you up up 1 unit and three units to the left or 1/3.

Maria has 9 boxes that each weigh 78 pound.

How many pounds do the boxes weigh altogether?

Answers

Answer:

702 pounds

Step-by-step explanation:

9 * 78 = 702

Answer:

If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.

Step-by-step explanation:

9 x 72 = 702 pounds

Your welcome! :)

Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)

Answers

Answer:

See below ~

Step-by-step explanation:

Distance Formula

D = √(x₂ - x₁)² + (y₂ - y₁)²

Finding the side lengths

AB = √(6 + 3)² + (-2 - 2)² = √81 + 16 = √97BC = √(3 - 6)² + (-6 + 2)² = √9 + 16 = √25 = 5CD = √(3 - 0)² + (-6 + 6)² = √9 = 3DA = √(0 + 3)² + (-6 - 2)² = √9 + 64 = √73

Perimeter

AB + BC + CD + DA√97 + 5 + 3 + √738 + √97 + √73 units [radical form]8 + 9.85 + 8.5426.39 units (decimal form)

answer quick i’ll give brainliest!! if you send links i’ll report u!

Answers

Answer:

[tex]\fbox{ Option D ➫ \: 416 \: cm²}[/tex]

Step by step explanation:

Given:

height of prism h = 18 cm

length of base of triangle b = 10cm

height of triangle h' = 2 cm

side A of triangle = 5 cm

side B of triangle = 7 cm

To find:

Surface area of prism = ?

Solution:

[tex]Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{10} \times \not{2} \\ Area \: of \: base \: triangle = 10 \: {cm}^{2} [/tex]

[tex] \fbox{Area \: of \: base \: triangle \: (B) = 10 \: cm²}[/tex]

[tex]Perimeter \: of \: base \: triangle = Side A + Side B + base b \\ Perimeter \: of \: base \: triangle = 5 + 7 + 10 \: cm \\ Perimeter \: of \: base \: triangle = 22 \: cm[/tex]

[tex] \fbox{Perimeter \: of \: base \: triangle (p) \: = 22 \: cm}[/tex]

[tex]Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 10+ \: 22 \times 18 \\ Surface \: area \: of \: prism = 20 + 396\\ Surface \: area \: of \: prism = 416 \: {cm}^{2} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 416 \: cm²}[/tex]

Thanks for joining brainly community!

Answer:

D. 416 cm²

Step-by-step explanation:

Let S be the surface area of the prism

     B be the area of the base of the prism

     A be the lateral area of the prism

_______

formula :

S = 2B + A

__________

The base is a triangle ,then B the area of the base :

[tex]B=\frac{10 \times 2}{2}=10 \mathrm{~cm}^{2}[/tex]

_______

formula :

A = (Perimeter of the base) × (the height of the prism)

__________

then ,

[tex]\begin{aligned}A &=(10+5+7) \times 18 \\&=22 \times 18 \\&=396cm^2\end{aligned}[/tex]

Conclusion:

[tex]\begin{aligned}S &=2 B+A \\&=2 \times(10)+396 \\&=20+396 \\&=416 \mathrm{~cm}^{2}\end{aligned}[/tex]

What is the length of AB? I

Answers

Answer:

9 units

Step-by-step explanation:

Line O bissects AC at its midpoint, creating a right angle. So, we know that AB is exactly 1/2 of AC.

Algebraically:

AB = AC/2

AB = 18/2

AB = 9 units

Hope this helps!

Answer:

AB = 9

Step-by-step explanation:

Perpendicular line from the center of the cirlcle to the chord bisects the chord.

AB = 18/2

AB = 9

What is the correct way to read 0.2305

Answers

zero point two three zero five

hope it helps...!!!

Answer:

TWO THOUSAND THREE HUNDRED FIVE TEN-THOUSANDTHS

Step-by-step explanation:

Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.About how many people had viewed the video once it had been online for 20 days? the answer is 6,271!!!

Answers

The number of people that had viewed the video that Marta’s mother shared online was 6271

How to solve an exponential function?

Let f(x) represent the number of views after x days.

Given the function:

f(x) = 33(1.3)ˣ

Hence:

After 20 days, the number of views is:

f(x) = 33(1.3)²⁰ = 6271

The number of people that had viewed the video once it had been online for 20 days was 6271

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

6,271 people saw the video

Step-by-step explanation:

The Arctic Ocean has an area of about 5×106 square miles. The Atlantic Ocean has an area of about 3×107 square miles. Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents.

The Atlantic Ocean is about how many times as large as the Arctic Ocean?

Answers

Answer:

1.65x

Step-by-step explanation:

multiply 3x107 to get 321.

multiply 5x106 to get 530.

divide 530 by 321 to get 1.65x

What is the approximate area of a dart board with a diameter of 18 inches? Use 3.14 for π . Round to the nearest hundredth if necessary.

Answers

Diameter of the dartboard as given in the question = 18 inches. Then. Radius of the dartboard will be = 18/2 inches. = 9 inches.

There were thirteen friends playing a video game online when six players quit.If each player left had eight lives how many lives did they have total

Answers

They had 56 lives in total

Explanation: if there were thirteen friends to begin with and six quit that would leave them with 7 friends. If those seven remaining friends each had 8 lives, you multiply those 7 friends by 8 lives which would get 56.

If all thirteen friends were still in the game then they would have 104 lives all together.
they had 56 lives in toatal

What is the median of the data set?
-10, -5, -1, 0, 0, 3, 6, 8
0
O 0.125
3
-1

Answers

Answer:

0

Step-by-step explanation:

The median of this data set is 0. To find the median, you must arrange the data points from least to greatest (which is already done in this data set), then you must locate the central number, if there is no specific central number, you find the number inbetween these two central numbers, in this case 0 and 0, which is 0.

Find the area of the rhombus.

Answers

Step-by-step explanation:

as the graphic shows, we are dealing with a special rhombus : a square.

this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.

what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?

I assume the half-diameter.

what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).

every leg is 6 cm long (based on my assumption above).

because they are right-angled, the area of each of these little triangles is leg×leg/2

6×6/2 = 18 cm²

we have 4 triangles, so the total area is

4×18 = 72 cm²

if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.

then we would have

3×3/2 = 4.5 cm² for a single triangle

and

4×4.5 = 18 cm² for the whole area.

Round your answer to the nearest hundredth.

Answers

Answer:

33.69°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

33.69°

Step-by-step explanation:

Let's take ∡CBA as y

Tan y =  [tex]\frac{opposite}{adjacent}[/tex]

         =  [tex]\frac{6}{9}[/tex]

         = 0.6666

y = 33.69°

A video receives -16 points and 33 points in one day. How many members voted?

Answers

Answer: 49 members

Step-by-step explanation:

     We will take the absolute value (their distance from 0) of both numbers and add them together. This will give us our final answer.

|33| = 33

|-16| = 16

33 + 16 = 49

            49 members voted.

Answer:

Step-by-step explanation:

49

Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years

Answers

The total amount which Todd will have after 4 years is $1,178

The total amount which Alexis will have after 4 years is $1,184

1050 + 32(4)=

1050 + 128

= $1,178.

For Alexis

(P x T x R)/100

(1050 x 4 x 3.2)/100

=13400/100

=$134 interest after 4 years.

Therefore, 1050 + 134

=$1,184.

20 Points
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?

Question 2 options:

63–√ cm

6 cm

12 cm

62–√ cm

Answers

Answer:

The answer is 12 cm.

Step-by-step explanation:

Verified by correct test results.

The length of the hypotenuse of the given right triangle would be 12cm.

What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.∠A + ∠B + ∠C = 180°

Given is that the length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long.

The base length is the shortest distance of the right - angled triangle. We can find the hypotenuse using the cosine function as -

cos(60) = b/h

h ={b/cos(60)}

h = 6/(1/2)

h = 6 x 2

h = 12 cm

Therefore, the length of the hypotenuse of the given right triangle would be 12cm.

To solve more questions on triangles, visit the link-

https://brainly.com/question/2773823

#SPJ3

20 points



Divide f(x)2x³+3x²-4x-5 by g(x)x+2 and find quotient and remainder ​

Answers

⚠ANSWER⚠

f(x) = 2x³+3x²-4x-5

let x + 2 = 0

x = 2

f(x) = 2(2)*3 + 3(2)*2 - 4(2) - 5

= 2 × 8 + 3 × 4 - 4 × 2 - 5

= 16 + 12 - 8 - 5

= 15

↪Then the reminder is 15

...hope this helps...

__Mashi__

could i have some quick help factoring trinomials?

Answers

Solution 1

6x² + 34x -126x² + 36x -2x -126x(x+6)-2(x+6)(6x-2)(x+6)

Solution 2

48c²-160c+10012c² - 40c + 2512c² - 30c -10c + 256c(2c-5) -5(2c-5)(6c-5)(2c-5)

Solution 3

-6x-51xy+27xy²3x(-2-17y+9y²)3x(-2-18y+y+9y²)3x(-2(1+9y)+y(1+9y))3x(9y+1)(y-2)

#1

6x²+34x-126x²+36x-2x-126x(x+6)-2(x+6)(x+6)(6x-2)

#2

48c²-160c+100

Cancel by 4

12c²-40c+2512c²-30c-10c+25(2c-5)(6c-5)

#3

-6x-51xy+27xy²3x(-2x-17y+9y²)

hallenge
A tank was1/4 of the way filled of water. After 3 L of water was added, it was7/10
full. How many liters of water did it have at first?

Answers

The tank had 1.5 liters of water at first

A bag of candy contains 50 pieces of candy. The flavors are orange, strawberry, apple and
lemon. You know there are 12 orange candies. You pick an orange, put it back because you don'tlike orange and then pick a strawberry. The probability of this happening is 9/125. How many
strawberry candies are there?

Answers

Answer:

15

Step-by-step explanation:

Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),

Based on the question, he picked an orange first and the probability of picking that is

P(O) = 12/50

Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.

The probability of picking orange then strawberry with replacement is

P(O) × P(S) = 9/125

Substitute the P(O)=12/50,

12/50 × P(S) = 9/125

P(S) = 3/10

Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.

Number of strawberry candy

= 3/10 × 50

= 15

Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?

Answers

Answer:

12 feet

Step-by-step explanation:

3 times 4 is 12

you would multiply by 4 because of the 4 sides of the window

In a right triangle, A = 90 degrees, with side AC = 17 and angle B = 38
degrees, find BC. Round your answer to 1 decimal. Show the labeled figure and all your
work.

Answers

Answer:

The answer is 27.6

Step-by-step explanation:

I've attached a picture with the labelled figured and working steps. Hope it'll help =)

Which graph matches the equation y+6= 3(x + 4)?

Answers

Here's the graph using geogebra.org/graphing

Let me know if you need an explanation of how to solve this equation


Which expression is equivalent

Answers

Answer:

the answer is 1/27. C :))

which expressions are equivalent to the expression (x-y) 5/8 - 1/4x +y? answers: 3/8x + 3/8y, 3/8x + 1 5/8y, 5/8x - y - 1/4x + y, 5/8x - 5/8y - 1/4x + y, 5/8x - 1/4x + y - 5/8y

Answers

Answer:

  (a)  3/8x +3/8y

  (d)  5/8x -5/8y -1/4x +y

  (e)  5/8x - 1/4x + y - 5/8y

Step-by-step explanation:

An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.

__

  (x -y)(5/8) -1/4x +y

  = 5/8x -5/8y -1/4x +y . . . . . use distributive property

  = 5/8x -1/4y +y -5/8y . . . . . . reorder terms

  = (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms

  = 3/8x +3/8y

Which of the following lines are shown in the drawing?
КА
B
С
D
E
F
F.
G H
1
K
L
OT
OG

Answers

Answer:

A, B, D

Step-by-step explanation:

According to the drawing we can see the lines

A) LI, yesB) GJ, yesC) CJ, noD) BE, yesE) FA, no

Review the table on page 3 comparing in-network and out-of-network costs under the Standard Plan. Which statement is TRUE? Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. The costs for in-network and out-of-network doctors are the same for ALL services they offer. The costs for in-network and out-of-network doctors are the same for ALL services they offer. Office visits, immunizations and annual physicals have the same costs for both in-network and out-of-network doctors.

Answers

The true statement is that most insurance plans encourage the use of In-Network doctors by offering lower costs on most services they perform.

What is the meaning of Health Maintenance Organization?

An HMO is regarded as an acronym that is used for “Health Maintenance Organization”. It is know to be  companies  that has been given the power to solely to manage the provision of health care services to the people.

The use of the in-network option is one that tends to save money. The Providers in your network are known to have a form of agreements with your insurance company that tends to make one to save money.

Lean more about insurance plans from

https://brainly.com/question/1941778

Answer: B-Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform.

A rock is dropped from the top of a building and hits the ground at a velocity of
–72ft/sec. If the acceleration due to gravity is – 32ft /sec², what is the height of the
building?

Answers

Answer:

81 [ft].

Step-by-step explanation:

1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;

2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:

[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]

3) if g=32, t=9/4, then the required height is:

[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]

The height of the building comes to be 81 feet.

Initial velocity u= 0 feet/sec

Final velocity v= 72 feet/sec

The acceleration due to gravity g =32ft /sec²

Height of the building h= suppose h

What is the equation of motion?

The equation of a motion is:

[tex]v^{2} =u^{2} +2gh[/tex]

Where u and v are the initial and final velocities.

[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]

So, the height of the building = 81 feet.

Therefore, the height of the building comes to be 81 feet.

To get more about motion visit:

https://brainly.com/question/453639

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