write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution sets:all numbers such that it is x<=5

Answers

Answer 1
The absolute value of a number is its distance from zero on the number line. So, an equation in the form of |x| = a represents all the numbers that are a units away from zero. An equation in the form of |x - b| = c represents all the numbers that are c units away from b on the number line.

To write an absolute value equation in the form x - b = c, we need to isolate the absolute value expression on one side of the equation and simplify the other side. Here's how we can do it for the given solution set:

Solution set: all numbers such that x <= 5

This means that the solution set includes all numbers less than or equal to 5. We can represent this graphically as a number line with a closed circle at 5 and an arrow pointing to the left.

To write this as an absolute value equation in the form x - b = c, we need to find the midpoint between 5 and 0, which is (5 + 0) / 2 = 2.5. Then, we can write:

|x - 2.5| = 2.5

This equation represents all the numbers that are 2.5 units away from 2.5 on the number line. These numbers include 0, 1, 2, 3, 4, and 5.

Alternatively, we can write:

|x - 5| = 0

This equation represents all the numbers that are 0 units away from 5 on the number line, which is just 5.

So, the two absolute value equations in the form x - b = c that have the solution set "all numbers such that x <= 5" are:

|x - 2.5| = 2.5

and

|x - 5| = 0

Related Questions

7x+5x-7=21+10x

Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify the equation as an identity, a contradiction, or neither.
Give step by step explanation

Answers

Answer:

One Solution

Step-by-step explanation:

Step 1:

7x + 5x - 7 = 21 + 10x  Equation

Step 2:

12x - 7 = 21 + 10x   Add

Step 3:

2x - 7 = 21   Subtract 10x on both sides

Step 4:

2x = 28   Add 7 on boths sides

Step 5:

28 ÷ 4    Divide

Answer:

x = 7

Hope This Helps :)

PLS HELP DUE SOON!! (retest) will give brainliest <3

PLS HELP DUE SOON!! (retest) will give brainliest &lt;3

Answers

The answer is A
Hopefully it will be correct

PLEASE HELP LOOK AT PHOTO FOR PROBLEM

PLEASE HELP LOOK AT PHOTO FOR PROBLEM

Answers

Answer:

A. im pretty sure

Step-by-step explanation:

Answer:

it is A. 1 9/10 I simplified it so it should be right

what is the value of X

what is the value of X

Answers

Answer:

90

Step-by-step explanation:

The diagonals of a kite are perpendicular, so x is a right angle

Can you help with this question please

Can you help with this question please

Answers

Answer: the answer is 175.84

Step-by-step explanation: TSA of cylinder= pir( r + h)

= 3.14 x 4 x ( 4 + 10 )      {here diameter is 8 so radius is it's half}

= 3.14 x 4 x 14

= 175.84

Answer:

by using the formula of 2×22/7×r (r+h)

Which rate describes a unit price?
A. $1.00 for 2 lemons
B. $3.00 for every pound
C. $4.00 for 3 slices of pizza
D. $6.00 for every 6 bottles

Answers

Answer:

B

Step-by-step explanation:

because a unit price is a price in which only one of something is sold for

Under her cell phone plan, Autumn pays a flat cost of $48 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month. Write and solve an equation which can be used to determine g, the number of gigabytes of data Autumn can use while staying within her budget.

Answers

Answer:

4 gigabytes

Step-by-step explanation:

Equation: 68.50=48+5x

Equation: 5g+48=68.5

Answer: gigabytes = 4.1 (or 4 gigabytes)

Which of the following is the solution to the inequality below? 5x - 6 \(\leq\) 14
A) x \(\leq\) - 4/5
B) x \(\geq\) 4
C) x \(\geq\) - 4/5
D) x \(\leq\) 4

Answers

Answer:

D. x \(\leq\) 4

Step-by-step explanation:

1. You add 6 to each side

2. Divide each side by 5 to isolate x

Answer:

answer is A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

YO I NEED A 10 MINUTE ANSWER HURRY!!
Picture slicing a rectangular pyramid and a cone with a plane that is parallel to the base of each. How are the cross-sections the same? How are they different?

YO I NEED A 10 MINUTE ANSWER HURRY!!Picture slicing a rectangular pyramid and a cone with a plane that

Answers

Answer:

They are both sane and different shapes

Step-by-step explanation:

If you have any questions please ask me! :)

5/7 x 6/35. Please help me. If you get it right, ile give you this coffee --> ☕

Answers

Answer:

Step-by-step explanation:

Its 0.122 Can i get my coffee now please i need to do my hw!

It is 0.122 thanks for the coffeee

Thirty students were surveyed about the number of siblings they have. Their results were recorded and placed on a card face down.


Outcome Frequency
1 6
2 12
3 9
4 or more 3


Determine P(4 or more) when picking a random card.
10%
60%
80%
90%

Answers

Answer:

the answer is 10%

Step-by-step explanation:

The answer is 10% since there are 30 people that did the survey and 3 had 4 or more so therefore 3/30 =0.1 -> 10%

Order the numbers from closest to zero to farthest from zero:
4.38, l4.5l, l-4.6l, -l4.9l

HELPPPPP

Answers

The smallest number is the one closest to zero, or after zero, if it's a negative number, while the largest number is the number with the largest difference from the smallest, or the highest of value (not considering all situations). Usually, you would use the ascending order method for graphing numbers based on their value, which is indeed smallest to largest. According to thefreedictionary.com, "A function or variable continuously approaching zero as a limit." Tip: In ordering numbers based on value, the whole numbers that aren't negative are considerably believed to be the easiest numbers to order.

With that being said, here is the order of the numbers from smallest to largest:

4.38

4.5

4.6

4.9

Answer:

Here are the numbers ordered from closest to zero to farthest from zero:

4.38 (closest to zero)

4.5

-4.6

-4.9 (farthest from zero)

Step-by-step explanation:

(Proportions MC)

The length-to-width ratio of a television screen is 4 to 3. Mya bought a television with a length of 48 inches. What is the width of the television?

12 inches
24 inches
36 inches
42 inches

Answers

The answer is 36 inches. First, divide 48 by 4. 12. Multiply 3 x 12 = 36 inches.

please help me out? thank you!!!

please help me out? thank you!!!

Answers

Step-by-step explanation:

What you need to do is convert the quarts into gallons and then you need to subtract the number by 2 and you have your answer. Sorry I cannot give you the answer! I'm kinda in a rush but I wanted to help you out.

First the -2 and then u divide by -1 and that’s how u get g=gallons so the correct answer on total is 1

You're at a clothing store that dyes your clothes while you wait. The store offers 444 different articles of clothing and 333 colors.

If you randomly choose the article of clothing and the color, which of these diagrams can be used to find all of the possible outcomes?

Choose all answers that apply:

You're at a clothing store that dyes your clothes while you wait. The store offers 444 different articles
You're at a clothing store that dyes your clothes while you wait. The store offers 444 different articles

Answers

Answer:

B

Step-by-step explanation:

I'm really not sure how to explain this.

Diagram b is the right one

a student earned a grade of 80% on a math test that had 20 questions, how many questions did the kid answer correctly? (Round to the nearest whole number)

Answers

16 answers correctly
80/100 = 0.8
0.8 x 20 = 16
16 questions

i dont get it- pls help

i dont get it- pls help

Answers

Answer:

w

_ +3

2

Step-by-step explanation:

this should be the answer

100 PTS (seriously its 7:41 PM rn i cant do this pls help)
Match each the rational number with a point on the number line.

(Be sure to use the numbers 1 through 4 to indicate which rational number goes in each answer box)



1. -1
A
2. -1.2
D
3. 0.2
C
4. 1
B
pls answer correctly im begging u

100 PTS (seriously its 7:41 PM rn i cant do this pls help)Match each the rational number with a point

Answers

Answer: A=-1 4/5 B=-1.2 C=0.2 D=1 3/5

Step-by-step explanation:

I know this answer is right because the numbers got larger as the letters went to the right which means increase and the answers and graph makes logical sense to me. Hopefully you get a good grade on this.

Answer:

The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

step by step:

From the number line we can observed that:

1) A, B, C and D lies between -1 and 0.

2) Point A and B lies between -1 and -0.5

3) Point C and D lies between -0.5 and 0

Therefore, the value of A and B must have a negative value lying between -1 and -0.5

Also, the value of C and D must have a negative value lying between -0.5 and 0.

Now consider the provided options.

Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16

This is Incorrect representation because the value of A and B should lying between -1 and -0.5.

Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.

Also they are in ascending order from -1 to 0.

Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

plz help!!!

What is 19.2×108 minutes in hours?


3.200×109 ​h​

3.200×107 ​h​

1.152×1011 ​h​

1.152×107 ​h

Answers

Answer:

3.200×107 ​h​

Step-by-step explanation:

☘️ The answer to your question would be 3.200x107 h ( 34.56 hours ) Hope this helped! ☘️

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

On a graph titled Tammy's Pay, number of hours is on the x-axis and pay in dollars is on the y-axis. A line goes through points (2, 18) and (8, 42).

What does the y-intercept represent?

Answers

Answer: The y-intercept is the initial amount Tammy earns.

Step-by-step explanation:

Always remember that for graphs, the y-intercept is the initial amount. In this case, it would be the initial amount or the very first amount Tammy earns. If the line goes through the origin (0,0), that means that Tammy earns $0.00 for 0 hours of working.

I second that answer

How do I determine the little numbers on the top of the answer in the standard algorithm, WITHOUT HAVING TO DO THE STANDARD ALGORITHM (because I already solved it, but I don;t know the the little numbers on top)

Answers

Answer:

The standard algorithm for addition has three simple rules:

Rule 1: Line up the numbers vertically by matching the place values - and start with the ones place.

To explain: When you add multi-digit numbers, the problem is typically written vertically - meaning one set of numbers is on top of the other. But, you can't just place the numbers anywhere - there is a proper placement of the numbers based upon place value. Place value is the place a number represents when a number is written in standard form. We will look at an example after we review the rest of the rules.

Rule 2: Add together the numbers that share the same place value - again, start with the ones place.

Because you need to line up the numbers vertically with standard algorithm

Please answer! :D
A number cube, with number 1 through 6, is rolled and a coin is tossed. What is the probability of rolling an odd number on the cube and tossing a tails on the coin? Write your answer as a fraction in simplest form in the box provided.

Answers

Answer:

Step-by-step explanation:

Simple joint probabilites of two independent event. Probability of a head is 1/2. An odd roll of a die is also 1/2. 1/2 x 1/2 = 1/4 or 0.25.

So an odd roll on the cube is 1/2 and it’s 1/2 of getting tails so the probably is 0.25

The ratio of Bulls to Bears shirts in a sporting goods store is 4 : 7. If there are 33 shirts altogether, how many Bulls shirts are there?

Answers

Answer:

12 bulls shirts

Step-by-step explanation:

4x+7x=33

11x=33

x=3

Bulls : Bears

4 : 7

4(3)=12

the answer is 12 :) i hope this helps

Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.

1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6

Brainlist for positive attitude and correct answer :D

Answers

Answer: The correct answer is:

Probability of rolling a number less than 3: 2/6 or 1/3

Step-by-step explanation:

Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.

Probability of not rolling a number less than 3: 4/6 or 2/3.

Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D

2/6 1/3 someone already beat me to it but that’s ok bro hope I can be a help

Help me please il give 20 points!

Help me please il give 20 points!
Help me please il give 20 points!
Help me please il give 20 points!

Answers

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: 1. a. 15 b. 11 c. 2 d.7 e. 5.5
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:

Charles had m yards of material. He used 0.4m yards of material to make a costume, 0.2m yards to make pillows and 0.3m yards to make a bag. Which expression shows how many yards of fabric Charles has left? Check all that apply.

(A) 0.1m


(B) 0.9m


(C) m – 0.9m


(D) (0.4 + 0.2 + 0.3)m


(E) (1 – 0.4 – 0.2 – 0.3)m


(F) m – (0.4 + 0.2 + 0.3)m


(G) m – 0.4m – 0.2m – 0.3m


(H) m – (0.4m + 0.2m + 0.3m)

Answers

Answer:

c

Step-by-step explanation:

m-0.4-0.2-0.3=m-0.9

Answer:

A, C, E, F, G, H

Step-by-step explanation:

hope everyone has a good day or night

What is this figure a picture of: a picture of a geometric pattern transformation reflection translation tessellation

What is this figure a picture of: a picture of a geometric pattern transformation reflection translation

Answers

Answer:

Tessellation

Step-by-step explanation:

The figure shown is a picture of a Tessellation

Where a Tessellation is a tiling of regular polygons (in two dimensions), polyhedra (three dimensions), or polytopes ( dimensions)

Please help with this question

Please help with this question

Answers

The answer to your question would be 1/3
A rectangular ink pad has permitter of 30 cm in an area 54 cm² what are the dimensions of the ink pad

Someone help me with this ASAP!!

Someone help me with this ASAP!!

Answers

31.22 Minutes. 7.5+.5+8+.5+5.97+.5+3.6+.5+4.15=31.22 Add each time + .5 per time and you result in 31.22 minutes.

Answer:

27 minutes and 41 seconds

Step-by-step explanation:

First, you would add all the times( 6.5+7.0+4.46+4.4+4.5) to get the answer, 27 minutes and 16 seconds. You would then add 0.05, 5 times since you are playing 5 songs. The answer you should get is 27 minutes and 41 seconds.

Joel lives 5/8 of a mile from the library. Nina lives 1/2 of a mile from the library. Theo lives 4/10 of a mile from the libary. Which list shows the fractions of a mile in order from least to greatest?\

My choices

A: 5/8 mile, 4/10 mile, 1/2 mile
B:4/10 mile, 5/8 mile, 1/2 mile
C:1/2 mile, 4/10 mile, 5/8 mile
D:4/10 mile, 1/2 mile, 5/8 mile

Answers

The sneer should be D
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