can someone show and explain the steps to these problems?
1. a Classmate wrote the solution to the inequality |-4x+1|>3.

2. a classmate wrote the evolution to the equation |x-2|=4x+4.

Answers

Answer 1

Answer:

x>1 negative

x<(-1/2) positive

Step-by-step explanation:

Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

     |-4x+1| > 3

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |-4x+1|

For the Negative case we'll use -(-4x+1)

Solve the Negative Case

     -(-4x+1) > 3

    Multiply

     4x-1 > 3

    Rearrange and Add up

     4x > 4

    Divide both sides by 4

     x > 1 for the negative

For the Positive case we'll use (-4x+1)

   (-4x+1) > 3

    Rearrange and Add up

     -4x > 2

    Divide both sides by 4

     -x > (1/2)

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     x < -(1/2)

    Which is the solution for the Positive Case

Answer for Q.2:

x=-2/5 negative

x=-2 poisitive

Explanation:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |x-2| = 4x+4

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-2|

For the Negative case we'll use -(x-2)

For the Positive case we'll use (x-2)

STEP

3

:

Solve the Negative Case

     -(x-2) = 4x+4

    Multiply

     -x+2 = 4x+4

    Rearrange and Add up

     -5x = 2

    Divide both sides by 5

     -x = (2/5)

    Multiply both sides by (-1)

     x = -(2/5)

    Which is the solution for the Negative Case

(x-2) = 4x+4

    Rearrange and Add up

     -3x = 6

    Divide both sides by 3

     -x = 2

    Multiply both sides by (-1)

     x = -2

    Which is the solution for the Positive Case


Related Questions

I Need A Expert To Answer This! Find The Measure Of The indicated Angle In The Diagram.

Answers

Answer:

So,you're answer will be 21°{degree}..

Answer:

  m∠YPQ = 159°

Step-by-step explanation:

m∠QRP = 107

m∠RQP = 52

m∠RPQ = x

m∠QRP + m∠RQP + m∠RPQ = 180°

107 + 52 + x = 180

159 + x = 180

x = 21°

m∠RPQ = x = 21°

m∠RPQ + m∠YPQ = 180°

21° + m∠YPQ = 180°

m∠YPQ = 159°

Please Help Me!!!! ;)

Answers

Answer:

Value of x: 110

Step-by-step explanation:

5+5=10

120-10=110

Turn this improper fraction 88/-7 into a mixed number.​

Answers

Answer:

-12 whole number, 4/7 (Mixed number)

Step-by-step explanation:

88/-7 = Improper fraction

Required to turn into mixed number

= 88 ÷ -7

= (-12 & remainder 4) / 7

= -12 (4/7)

= -12 whole number, 4/7 (Mixed number)

|x|= 4 how to put it in a number line?

Answers

Answer:

point on 4 and -4

Step-by-step explanation:

IxI = 4can either be 4 or -4

Answer:

just put the point on 4

Step-by-step explanation:

if it says incorrect i am very sorry

Do this ASAP and put answers in the "Answer" Tab. Any Absurd answers shall be reported and deleted. Remember when your answer gets deleted you loose the points you received. [tex]\boxed{ Perimeter\; and\; Area\; on \;the \;Coordinate \;Plane}[/tex]

Answers

[tex].....................part \: 1. \: a.......................... \\\boxed{ Perimeter} \\ the \: perimeter \: of \: a \: triangle \: is \: given \: by \to\\ \boxed{p} = a + b + c........ \\ were \: \\ a \: b \: and \: c \: are \: the \: sides \: \: of \:the \: triangle \: when : \\ a = su = \: ?\\ b = ut = 8 \: units\\ c = ts = 14 \: units\\ to \: find \: su \: we \: apply \: pythagorean \: rule\: \to \: \\ (su) {}^{2} = {(ut)}^{2} + {(ts)}^{2} \\ su = \sqrt{ {8}^{2} + {14}^{2} } \\ su = 2 \sqrt{65} \\ hence : \\ \boxed{p} = 8 + 14 + 2 \sqrt{65} \\ p = 22 + 2 \sqrt{65} \\\boxed{p= 38 .12\: units}\\ \\ .......................part \: 1. \: b....................... \\ \boxed{Area} \\ the \: area \: of \: a \: triangle \: is \: given \: by : \\ A = \frac{1}{2} bc \\ hence : \\ A = \frac{1}{2} \times 8 \times 14 \\ \boxed{ A = 56\: {units}^{2}}[/tex]

Note.......I took care of part 1 only......cos handling both questions on here will be much on me

or.......you can set part 2 as a different question......but applying the same methods for the triangle will definitly work for the rectangle.

♨Rage♨

A calculator screen shows a number in scientific notation as 4.67e-8 write this number in standard form

Answers

Answer:

467 000 000

Step-by-step explanation:

4.67e-8 is rewritten as 4.67 x 10^-8.

Negative -> decimal with lots of places, Positive -> big, big number

Move the decimal place right 8 times so you end up with a small decimal.

4.67 -> 467000000

what is b^2 = 49 on khan academy

Answers

Answer:

b=7

Step-by-step explanation:

7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.

A recipe for 1 batch of cookies calls for 1/3 cup of oil. You have 3/4 cup of oil. Do you have enough oil for 2 batches of cookies? She walks 1/2 mile from her home to the bus stop. She then travels 2 miles on the city bus. In miles, how far does the bus drop her off from school?

Answers

Answer:

a) Yes she has enough oil for 2 batches

b) 1/4 miles

Step-by-step explanation:

a) A recipe for 1 batch of cookies calls for 1/3 cup of oil. You have 3/4 cup of oil. Do you have enough oil for 2 batches of cookies?

1 batch of cookies = 1/3 cup of oil

2 batches = x

Cross Multiply

x = 2 × 1/3 cup of oil

x = 2/3 cup of oil will be needed for 2 batches

Subtracting 2/3 for 3/4

= 3/4 - 2/3

= 1/12 cup of oil is left

Yes she has enough oli for 2 batches

b) Complete Question

Clara travels a total of 2 3/4 miles to school each day. She walks 1/2 mile from her home to the bus stop. She then travels 2 miles on the city bus. In miles, how far does the bus drop her off from school?

This is calculated as:

2 3/4 miles - ( 2 miles + 1/2 ) miles

= 2 3/4 - 2 1/2

= 1/4 miles

John ran for president of the chess club. Of the 325 members in the chess club, 195 members voted for John. What percent of students voted for John?

can someone help me out.

Answers

Answer:

65%

Step-by-step explanation:

325-195=130

130/200= 65

The graph shows the printing rate of printer a printer b can print a rate of 25 pagws per minute how does the rate for printer b compare

Answers

Answer:greater,greater,15

The printing rate for Printer B is

greater

than the rate for Printer A because the rate of 25 pages per minute is

greater

than the rate of

15

pages per minute for Printer A.

The answers to the fill ups are:

(a) greater than

(b) greater than

(c) 15

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, slope for printer A= 30-2/2-0

                                    = 30/2 = 15 pages per minute.

So, the rate of Printer A is 15 pages per minute.

Thus,

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

Learn more about graph here:

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Which of the following values of x solves 3(x−6)=18?

Answers

Answer: X=12

Step-by-step explanation: 3(x-6)=18 becomes 3x-18=18 which is 3x=36 because you add 18 to both sides. Then you simplify 36/3 which is 12

Answer:

x=12

Step-by-step explanation:

3(x-6) = 18 - distrubute ( you are solving for x )

3x - 18 = 18 - add 18 to both sides

3x = 36 - divide

x =12

PLZ HELP ME! I WILL GIVE BRAINLIEST!!! PLZ ONLY ANSWER IF YOU KNOW!!!

Answers

Answer:

14  28   28 22  23 19 12

Step-by-step explanation:

Answer:

7. B

8. C

9. E

10. A

11. D

Step-by-step explanation:

larry gets a 5% wage rise. his new wage is £252 per week. what was larrys wage before his wage rise

Answers

The raise was 5% which is 0.05 as a decimal.

For his new rate his original rate was multiplied by 1.05 ( original + 5%)

To find original amount, divide new amount by 1.05:

252 / 1.05 = 240

His original pay was £240

You can check by multiplying the original pay by 5% and adding:

240 x 0.05 = 12

240 + 12 = 252

Over the past 6 seasons one baseball players average is for 0.238 0.289 0.263 0.302 0.285 and 0.319. Second player batting averages were 0.259 0.348 0.334 0.278 0.311 and 0.174 what are the range and mean of each players batting averages use your results take a player players batting skills

Answers

Answer:

First player

Range = 0.081

Mean = 0.283

Second player

range = 0.174

mean = 0.284

Step-by-step explanation:

Mathematically, range is highest value - lowest value while mean refers to the average ( sum of values/count of values)

For first player

Range = (0.319 - 0.238) = 0.081

Mean = (0.238 + 0.289 + 0.263 + 0.302 + 0.285 + 0.319)/6 = 0.283

For the second player;

Range = 0.348 - 0.174 = 0.174

mean = (0.259 + 0.348 + 0.334 + 0.278 + 0.311 + 0.174)/6 = 1.704/6 = 0.284

How can you determine whether the data in a table represents a proportional relationship? *

Answers

Answer:

[tex]this \: can \: be \: done \: by \: appling \: the \to \\ rate \: of \: change \: law : \\ r.o.c \: (m) = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } [/tex]

A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet away from the player. The height $y$y​ (in feet) of a second hockey puck is modeled by $y=x\left(0.15-0.001x\right)$y=x(0.15−0.001x)​ , where x$x$x​ is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.

Answers

Answer:

The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further  

Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further

Step-by-step explanation:

From the question we are told that

  The maximum height of the first pluck is  [tex]h_1 = 3 \ ft[/tex]

   The height of the second height is mathematically represented as

              [tex]$y=x\left(0.15-0.001x\right)[/tex]

=>           [tex]y=0.15x -0.001x^2[/tex]

Generally at maximum height  [tex]y' = 0[/tex]

So

      [tex]y'=0.15 -0.002 x = 0[/tex]

=>    [tex]x =  75 \  ft [/tex]

Here 75 ft is the horizontal distance the second pluck traveled at maximum height

   So the maximum height of the second pluck is mathematically represented as

       [tex]y=0.15(75) -0.001(75)^2[/tex]

=>     [tex]y=  5.625 \  ft [/tex]  

So comparing the maximum height  of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father

2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.


a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?​

Answers

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Total area of parknand path way = 74,464 m2.

Dimension of park = 350m by 200m

Using the area of rectangle formula:

Area = Length * width

Area of park = 350m * 200m

Area of park = 70,000

Area of path = (74,464 - 70,000) = 4,464m2

Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m

2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path

The graph of a linear function is shown.


Which word describes the slope of the line?

positive
negative
zero
undefined

Answers

the answer is negative slope

1. The number of questions that students missed on a 50 question science midterm is
represented by the box-and-whisker plot below.

Which of the following statements is most likely to be true?
If the lowest grade of an A is an 88% then about 25% of the students earned an A.
About 25% of the student failed the exam.
About 75% of the students scored between 80% and 88% and earned a B.
If the lowest passing grade is 60% then some students failed the exam.

Answers

NO ITS IF THE LOWEST GRADE IS AN 88 THEN 25 PERCENT EARNED AN A IM SO SORRY

Answer:

If the lowest grade of an A is an 88% then about 25% of the students earned an A

Step-by-step explanation:

got it right on quiz

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

Answers

[tex]2 {x}^{2} + x - 1 = 2 [/tex]

Subtract sides -2

[tex]2 {x}^{2} + x - 1 - 2 = 2 - 2 [/tex]

[tex]2 {x}^{2} + x - 3 = 0 [/tex]

[tex](x - 1)(2x + 3) = 0[/tex]

_________________________________

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

##############################

[tex]2x + 3 = 0[/tex]

[tex]x = - \frac{3}{2} \\ [/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer: I think its C on edge

10. During a December the high temperature in New Mexico was 68° F. The
same month, the low temperature was -15° F. What was the difference
between the two temperatures?

Answers

Answer:

83

Step-by-step explanation:

68-(-15)=68+15=83

What are the slope and the y-intercept of the line shown in the graph?

A. y-intercept = 2 and slope = -3
B. y-intercept = 2 and slope = 3
C. y-intercept = 3 and slope = 2
D. y-intercept = -3 and slope = 2

Answers

Answer:

A

Step-by-step explanation:

The y intercept is where the line crosses the Y (vertical) axis. In this case, it happens at y=2

The slope is the rate of change. For every 1 space it moves on the horizontal axis, it moves 3 vertical spaces. It is going down, so it is -3

I need the answer to this one .

Answers

Answer:

B. 6.5x10^5

Step-by-step explanation:

Hope this Helps :)

how do i find the conference for a circle need it right away

Answers

Answer:

C=2πr  

Step-by-step explanation: here is the equation for the circle tell me the numbers and i can solve it for you.

Answer: c=2[tex]\pi[/tex]r

Step-by-step explanation: Circumference is 2 times pi times radius.

On average, Johanna drinks 2/3 of a 12 ounce can of soda in one hour.

How much does she drink in one and a half hours?

Answers

Answer:

12oz or a whole can of soda in 1 hour 30 minutes.

Step-by-step explanation:

[tex]\frac {2} {3}[/tex] of 12 is 8, so that means the Johanna drinks 8oz of soda in 1 hour, this means that Johanna also drinks 12oz of soda in 1 hour 30 minutes.

If you traveled 175.5 miles, how many gallons of gas were used?

Answers

Answer: What kind of gas? What are we traveling in? Was there supposed to be some rate you left out?

Step-by-step explanation:

The speed of the particles________when a substance is heated
A. increases
B. decrease
C. stays the same

Answers

Answer:

increases It increases piggy piggy

Answer:

increases due to the presence of kinetic energy

PLEASE HELP
-1 2/3 + (-2 1/6) A. Use the real number properties to write an equivalent expression for this sum.
B. Find the sum. Express your answer as a mixed number in lowest terms. ​

Answers

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23/6

This last result can be rewritten as -3 5/6.

Hope this help, stay safe and have a nice day! :))))))

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23

Solve for b.

ab + c = d

a. b = (d - c)/a
b. b = a + c/d
c. b = a/(c - d)

Answers

Answer:

a. b=(d-c)/a

Step-by-step explanation:

ab+c=d

- C= d-c

ab=(c-d)

b= (c-d)/a

Answer:

b= d-c/a

Hope this helps! Please mark Brainliest

A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
A. 36/9 yards
B. 37/9 yards
C. 35/9 yards
D. 38/9 yards

Answers

Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

The seamstress had 37/9 yards of material for each uniform.

What is division?

In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.

How to solve it?

Given that total amount of material = 148 yards

number of students in the concert band = 16

number of students in the symphonic band = 20

Total number of students = number of students in the concert band + number of students in the symphonic band

= 16 + 20 = 36

For 36 students, there are 148 yards of material.

Then for 1 student, there are 148/36 = 37/9 yards of material.

Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.

Learn more about division here -

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