Use the form |x-b|<=c or |x-b|>=c to write an absolute value inequality that has the solution set -1<=x<=3.

Answers

Answer 1

An absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

What is the solution set for an inequality?

The set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.

We've to find an absolute value inequality that has the solution set

-1 <= x <= 3

1+2 = 3

and 1 - 2 = 3

Therefore, we can rewrite the considered inequality as:

1-2 <= x <1+2

Subtracting 1 from all the sides:

-2 <= x-1 <= 2

This is written as:

|x-1| <= 2 (it is because [tex]|x| \leq a \leftrightarrow-a \leq x \leq a[/tex] )

Thus, an absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

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Related Questions

Probabilities! Can someone help me? 30 points for the right answer!

Answers

Answer:

Second and Last statements are true

Step-by-step explanation:

Probablity that it lands on red:-

1/5= 20

Probablity that it lands on green:-

2/4=40

Pls mark it as BRAINLIEST

Correct answers are as follows : The probability it lands on red is 20% , The probability it lands on green is 40%

write 6.7 x 10^-3 in standard form.
I NEED THE ANSWER ASAP

Answers

6.7x0.001

Positive power of tens

1. 10                                                                    

2. 100

3. 1,000

4. 10,000

5. 100,000

5. 1,000,000

6. 10,000,000

7. 100,000,000

ETC.

Negative power of tens

0.10.010.0010.00010.000010.0000010.00000010.000000010.0000000010.0000000001

If I got this right and gave you the correct reminders or 'notes' can I get brainlest pls.

Answer:

0.0067

Step-by-step explanation:

  1)   10                                                

2)  100

3)  1,000

4)  10,000

5)  100,000

5)  1,000,000

6. 10,000,000

7. 100,000,000

0.1

0.01

0.001

0.0001

0.00001

0.000001

0.0000001

0.00000001

0.000000001

0.0000000001

You are weighing 3 boulders. 1 weighs one-quarter of a ton, 1 weighs 8,112 ounces, and 1 weighs 505 pounds.
Which one is heaviest, and which is lightest?

Answers

Answer: 8,112oz heaviest, quarter ton lightest
Work:
Quarter ton= 500 lbs
8,112 oz=507 lbs

The water glasses below are filled to the same height and have the same radius. How many times could you fill Glass B to equal the amount water in Glass A? Explain your reasoning.

Answers

Answer:

B

Step-by-step explanation:

%9 and 6 cm the glass ÷14

πcm }=. cm 9

thanks me later

The amount of water in Glass B to equal to 3 times of the amount water in Glass A

What is the volume?

The volume is a measurement of three-dimensional space that is utilized.

Let r be the radius and h be the height of the cylinder and cone. Then the volume of the cylinder will be given as,

Volume of A = π r²h cubic units                       ...1

And the volume of the cone will be given as,

Volume of B = (1/3) × r²h cubic units       ...2

From equations 1 and 2

Volume of B = 3 x volume of A

The amount of water in Glass B to equal to 3 times of the amount water in Glass A

More about the volume link is given below.

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30 POINTS HELP ME-
(7.12) A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?

(A) Number line graph with closed circle on 120 and shading to the right
(B) Number line graph with closed circle on 90 and shading to the right.
(C) Number line graph with closed circle on 150 and shading to the right
(D) Number line graph with closed circle on 30 and shading to the right.

Answers

Answer:

Number line graph with closed circle on 30 and shading to the right

because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.

THIS ANSWER ISN'T MINE. I TOOK IT FROM AN ANSWER TO THE SAME QUESTION ANOTHER USER POSTED.

A plastic bin in the shape of a cube contains 900 marbles, each with a volume of 8 in?. If the cube has side lengths of 2 feet, find the volume of the empty space in the bin (in cubic inches).

HELP QUICK ITS SO DIFFICULT

Answers

900 x 8 in , 2ft in cubic inches, guessing

The Rodriquez family is taking a 1,430-mile train ride. If the train travels 55 miles per hour, how many hours will the ride last?

Answers

Just divide 1430 by 55! The answer is 26 hours

Answer:

26 hours is what i got when i worked it out

Step-by-step explanation:

There are 154 players at a chess tournament. In each round, half of the players are eliminated. Write a function to represent the number of players remaining at the end of x round.

this exponential functions​

Answers

154 + 2x because you would have to do 154/2

Answer the following about 437/7 estimating.

Answers

Answer:

a)- the first one, as 490 is farther than 420.

b)-underestimate

Answer:

A) FOR FIRST QUESQUESTION

B) FOR SECOND

Step-by-step explanation:

Suppose the value 60 is added to the data set.

Answers

i would need to see what the data set is to further answer the questions because i don’t know what data set the question is referring to
Y=3x+1 use the y=C +24

Some facts about powers of ten are shown. Use what you know about powers of ten to enter numbers that make the equation true.

Answers

Answer:

there are 4 before you can get 3.28.

As shown, 10^-1=1/10.

So, 1/10^-4 which makes it inverse,

10^4

Answer:

Step-by-step explanation:

there are 4 before you can get 3.28.

As shown, 10^-1=1/10.

So, 1/10^-4 which makes it inverse,

10^4

help pls with this problem

Answers

Answer:

So, based on what I can see,

ON X FOR EACH

-from -7 to -3 (x) it is INCREASING

-from -3 to -1 it is INCREASING DRAMATICALLY

-from -1 to 1 it is DECREASING

-from 1 to 3 it is INCREASING

-from 3 to 5 it is DECREASING

-from 5 to 7 it is remaining CONSTANT.

Solve 5x-10=3x+2. Explain.

Answers

Answer:

6

[tex] \: [/tex]

Step-by-step explanation:

It is given an equation and we are to find the value of x.

[tex] \: [/tex]

Given Equation :

[tex] \\ {\longrightarrow \qquad{ \sf{5x-10=3x+2}}} \\ \\ [/tex]

Subtracting 3x from both sides we get :

[tex]\\ {\longrightarrow \qquad{ \sf{5x-10 - 3x=3x - 3x+2}}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \sf{2x-10=2}}} \\ \\ [/tex]

Adding 10 to both sides we get :

[tex] \\ {\longrightarrow \qquad{ \sf{2x-10 + 10=2 + 10}}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \sf{2x=12}}} \\ \\ [/tex]

Dividing both sides by 2 we get :

[tex] \\ {\longrightarrow \qquad{ \sf{ \frac{2x}{2} = \frac{12}{2} }}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \frak{ \pmb{x=6}}}} \\ \\ [/tex]

Therefore,

The value of x is 6.

Answer:

   = 6-

Step-by-step explanation:

:-

5 + -10 = 3 + 2

ℜ  :-

-10 + 5 = 3 + 2

ℜ  :-

-10 + 5 = 2 + 3

-10 + 5 = 2 + 3

  ''.

      ,      .

'-3'      .

-10 + 5 + -3 = 2 + 3 + -3

ℭ  : 5 + -3 = 2

-10 + 2 = 2 + 3 + -3

ℭ  : 3 + -3 = 0

-10 + 2 = 2 + 0

-10 + 2 = 2

'10'      .

-10 + 10 + 2 = 2 + 10

ℭ  : -10 + 10 = 0

0 + 2 = 2 + 10

2 = 2 + 10

ℭ  : 2 + 10 = 12

2 = 12

   '2'.

= 6

= 6

Hopes this helps~

~~

Complete the net worth statement. What is the net worth of the individual?

Answers

Answer:

hard question you got there

Step-by-step explanation:

D) $26,595

Net worth= Total Asset - Total Liability

Find the measurements

Answers

Answer:

Angle 1: 60

Angle 2: 120

Step-by-step explanation:

Because of corresponding angles, the measure of the angle next to Angle 1 is 50 degrees, due to corresponding angles. Because of the sum of angles in a triangle is 180 degrees, measure of Angle 1 is 60 degrees. The linear pair of angle 2 is angle 1, which is 60 degrees. Because of linear pair, measure of angle 2 is 120 degrees.

Answer:

Angle 1: 60!

Angle 2: 120!

Step-by-step explanation:

This is easy. Have a good day :D-|--=:

NEED HELP!!
julia and kelsey are both babysitters. julia charges a flat fee of $30 plus $5 per hour. and kelsey charges a flat fee of $10 plus $15 per hour. which system of equations represents the information given? let z represent the number of hours spent babysitting. let y represent the money earned. (answer choices are in the picture)

Answers

Answer:

I think it's the 2nd choice. Hopefully I got this correct :)

Step-by-step explanation:

I think you wrote that z will represent the number of hours spent babysitting but I think you meant x.

It's the 2nd choice because $30 is the flat rate for Julia and $10 is the flat rate for Kelsey. Julia has a rate of $5 per hour so that will be the number with the x. And Kelsey has a rate of $15 per hour so that will be the number with the x.

Julia: y = 5x + 30

Kelsey: y = 15x + 10.

Second choice. It’s the second choice because Julia’s prices are like this: A flat fee of $30 + 5x (x representing the amount of hours). So the equation would be 30 + 5x = y (the amount she earned), and kelsey is the same. The flat fee (10) + 15x, (x representing the amount of hours), which then the equation would be 10 + 15x = y. (Y representing the amount she earned.) The equation can be in any order but it’s definitely the second choice.

I'll give brainiest
-if u answer the question could you tell me how you got it tyy:)


The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?



Enter your answer in the box.

Answers

Answer:184 cm^2

Step-by-step explanation:

10*6*2=120

6*2*2=24

2*10*2=40

120+40+24=184

Answer:

184 cm²

Step-by-step explanation:

You can find the surface area of this net by finding the area of each rectangle and adding them up.

The top rectangle has dimensions of 10 and 6. You multiply them to get 60. Add in the units and the area of the top rectangle is 60 cm².

The rectangle under the one we just found the area for has the dimensions 10 and 2. Find the area. A = 20 cm².

The two rectangles to the side of the second rectangle have the dimensions of 6 and 2. The area of one is 12 cm². This means the two rectangles added together are 24 cm².

The next rectangle has the same dimensions as the first rectangle we solved. Therefore, the area is the same, which is 60 cm².

The last rectangle has the same dimensions as the second rectangle we solved. Therefore, the area is the same, which is 20 cm².

We will add the numbers altogether to find the surface area.

60 + 20 + 24 + 60 + 20 = 80 + 24 + 80 = 104 + 80 = 184 cm²

A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship
between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flour the bakery uses?

Answers

Answer:

3/1 or 3:1 when simplified

so first number is three times larger then second number

Give the coordinates of each point.

please help thank you

Answers

a-2,6
d-4,6
b-9,6
c-11,6

Answer:

A = (1,6)

B = (4,6)

C = (9,6)

D = (11,6)

Since it is a strait line on six, all the points should have 6 as y. For the x's, just count how much it is away from the y-axis.

For this item, enter the answer in the space provided. A college student earns $ 15, 000 working part-time at a bookstore. The student pays 1/10 of the earnings in taxes, spends 2/5 of the earnings on living expenses, and saves the remainder of the earnings. How much money does the student save?

Answers

Answer: 10,500

Step-by-step explanation:

How to calculate tax and earning

Given the following paramiters

Total amount earned by the student = $15000

Assume we have the following parameters

Earning paid off in taxes = $1500

Amount spent on living expenses = $3000

Amount she will have left = 15000 - (1500 + 3000)

Amount she will have left = 15,000 - 4500

Amount she will have left = 10,500

Hence the amount she will have left is $10,500

Answer:

$7,500

Step-by-step explanation:

First, find the amount he pays in taxes:

$15,000 x 0.1 = $1,500

Next, find the amount he pays in living expenses:

$15,000 x 0.4 = $6,000

Add the two amounts together:

$1,500 + $6,000 = $7,500

Subtract the combined amount from the original amount to find how much the student saved:

$15,000 - $7,500 = $7,500

Therefore, the college student saves $7,500.

PLEASE HELP ASAP ILL GIVE BRAINLIEST IF CORRECT

△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.

Using the given information, which statement is true?

The two triangles are not similar because x≠y .

The triangles are similar because they each have an interior angle with a measure 70°.

The two triangles are not similar because the interior angles are congruent but the side lengths are different.

The two triangles are not similar because y = 60 so it is impossible to have three congruent angles.

Answers

So first of all you can find x and y because all triangles have interior angles that add up to 180 degrees.

X= 10 degrees
Y= 60 degrees

Looking at the options, we see that the first statement is true. And if the angles are not equal, the triangles are not able to be similar.

I will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I've labled all in red, hope this helps.

Answer:

I drew it for you.

Step-by-step explanation:

Pls give brainliest if I helped.

last week you walked your dog 12.405 miles. this week you walked your dog 15 miles. how many fewer miles did you walk last week than this week?

Answers

fewer miles = difference between the two miles in the walks.
= (15 - 12.405)miles = 2.595

The dog walked 3 miles less in last week than this week.

What is approximation?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

Given that, last week you walked your dog 12.405 miles. this week, you walked your dog 15 miles.

The dog walked in last week approx = 12 miles

The dog walked this week = 15 miles

The  fewer miles did he walked = 15-12 = 3

Hence, the dog walked 3 miles less.

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WILL CHOOSE BRAINILEST!!! Find the midpoint of the line segment CD if C=(1,0) and D=(-7,2)

Answers

Answer:

m = (-3, 1)

Step-by-step explanation:

Midpoint formula: [tex]m = (\frac{x_{1} + x_{2} }{ 2},\frac{y_{1} + y_{2}}{2})[/tex]

[tex]m = (\frac{1 + -7 }{ 2},\frac{0 + 2}{2})[/tex]

[tex]m = (\frac{1 -7 }{ 2},\frac{0 + 2}{2})[/tex]

[tex]m = (\frac{-6}{ 2},\frac{2}{2})[/tex]

[tex]m = (-3, 1)[/tex]

brainliest but please show work

Answers

3yd is the diameter of this circle so

3yd × pi= 9.42yd

Choose the best estimate for the length of a paperback book. A. 4 in. B. 8 in. C. 14 in. D. 18 in.

Answers

Answer:

A.4

Step-by-step explanation:

The average length of a paperback book is 4.25 inches in height and 6.87 in length. So the options you have here are 4,8,14, and 18 inches the closest number to 6.87 in 4 inches. I hope my answer helps you a lot.  

The answer is A.8 because the average length is nearly always 4.25 x 6.87

Wyatt is gathering box tops for his school. Last year he was able to collect 300 box
tops. Out of 300 box tops, 25 were already expired. He collected 400 box tops this
year. How many box tops will be expired this year if Wyatt can estimate the
number of box tops that will expire this year using the ratio from last year? Round
to the nearest whole number.

Answers

Answer:

Solution

Let last year and new year be L(y) and N(y)

Let last year Expired box and new year Expired box be L(E) and N(E)

Here,

L(y)=300 box

L(E)=25 box

N(y)=400 box

N(E)=x

We know,

N(y) / L(y) = N(E) / L(E)

400/300 = x/25

1.333333333 = x/25

x = 1.333333333 * 25

x = 33.333333333

So, the expire box this year is 33.333333333

Can someone help me with this pls

Answers

Answer:

33.8

Step-by-step explanation:

1) Use Phythagoras theorem to get RS ↓

[tex]9.1 ^{2} + 6 ^{2} = 118.81 \\ \sqrt{118.81 } = 10.9[/tex]

2) RS = RQ

therefore, to get the perimeter, you'll have to total up the sides of the triangle ↓

[tex]rs + rq +qt + ts \\ = 10.9 + 10.9 + 6 + 6 \\ = 33.8[/tex]

Hope this helps =)

Answer:

33.8

**Brainliest would be appreciated**

Step-by-step explanation:

There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. 48 tablespoons is equivalent to 3 cups, as shown in the graph.

A. What is the constant of proportionality for this relationship? (Type your answer as a fraction)

B. Write an equation representing this relationship. Use c for cups and t for tablespoons.

Answers

answer: 48 divided by 3 is equal to 16, so is 16/1 . for the b question is (1)c x (16)t

State the reason why MN = LK.

Given:

KLMN is a parallelogram.

Answers

Answer:

MN = LK because there both parallel.

Step-by-step explanation:

Since there parallel and the shape has equal sides, then those two lines are the same.

According to parallelogram's property, sides MN and LK are equal in parallelogram KLMN.

What is parallelogram?

In a parallelogram, the two sets of opposite sides are parallel and equal. It is a unique kind of quadrilateral.

The given parallelogram is KLMN,

According to parallelogram definition,

Opposite sides of any parallelogram are parallel and equal,

In parallelogram KLMN, sides MN and LK are apposite,

Therefore, sides will be parallel and equal.

Thus, sides MN and LK are equal.

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