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 help ASAP please

Answers

Answer:

Commutative property

Step-by-step explanation:

The  word commutative means ¨move around¨

Answer:

It's B/2/ Commutative property.

Step-by-step explanation:

you can tell.

Simplify.

–7 – 3x + 5 – 6x

Answers

Answer:

-9x-2

Step-by-step explanation:

-7-3x+5-6x

=(-3x-6x) + (-7+5)

=(-9x)+(-2)

= -9x - 2

First, use the associative property of addition to reorder the terms in parentheses. Then, combine like terms and you will get your simplified answer of -9x - 2. Hope this helps!

whats 0.099 (.099repeated )as a fraction

Answers

Answer:

[tex] \frac{1}{10} [/tex]

Step-by-step explanation:

the answer is just

[tex] \frac{1}{10} [/tex]

Answer:

11/111

Step-by-step explanation:

Let x=0.099099099...

1000x=99.099099..

subtract

999 x=99

x=99/999=11/111

Write the equation of the line through the points (-6, -19) and (2,5).

Answers

Answer:

m = 7/2              y = 7/2x + b

Step-by-step explanation:

I'll givee brainliest

Answers

sorry but i dont know the answer to this but can i still have the brainliest 8382
I think it might be 4x I’m not sure

Use the distributive property
to expand -4(-2/5+3x)
Which is an equivalent expression?

Answers

Answer:

8/5-12x

Step-by-step explanation:

-4(-2/5+3x)

Multiply each term inside the parentheses by -4

-4 * -2/5 + -4 * 3x

8/5-12x

Answer:

-1.6+12x

Step-by-step explanation:

First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x

Help Needed! Use The Triangle Sum Theorem To Solve For X In The Triangle.

Answers

Answer:

x = 4°

Step-by-step explanation:

All angles in a triangle add up to 180°

16x - 4 + 30 + 90 = 180

Rearrange

16x = 180 - 90 - 30 + 4

16x = 64

x = 4°

Solve the equation: 9 - 4x = 17

A.X = 4
b.X=-4
C.X = 2
D.X = -2

Answers

Answer:

x= -2

Step-by-step explanation:

so D is the answer

Answer:

[tex]\boxed {x = -2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]9 - 4x = 17[/tex]

-Subtract both sides by [tex]9[/tex]:

[tex]9 - 9 - 4x = 17 - 9[/tex]

[tex]-4x = 8[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]\frac{-4x}{-4} = \frac{8}{-4}[/tex]

[tex]\boxed {x = -2}[/tex]

Therefore, value of [tex]x[/tex] is [tex]-2[/tex].

The frequency vibrations for a certain guitar string When is blood can be determined by the equation below, Where F is the number of vibration per second and T is measured in pounds.If the frequency of the vibrations is 600 vibrations per second, How many pounds of tantrums was used to plug the string? F = 200sqrt(T)

Answers

Answer:

9 pounds

Step-by-step explanation:

Given the frequency vibrations for a certain guitar string modeled by the equation

F = 200√T where:

T is amount of tantrums in pounds

If the frequency of the vibrations is 600 vibrations per second, the amount of pounds in tantrums will be gotten by substituting F = 600 into the equation and calculating T as shown:

600 = 200√T

Divide both sides by 200

600/200 = 200√T /200

3 = √T

Square both sides

3² = (√T)²

9 = T

T = 9

Hence 9 pounds of tantrum was used to plug the string

2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.

Answers

Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

What is 70,681 is word form.

Answers

Answer:

seventy and six hundred eighty-one thousandths

Answer:

seventy thousand six hundred eighty one.

Step-by-step explanation: that is your answer

The length of a rectangle is twice its
width. If the perimeter is 60, find the
dimensions (length and width) of the
rectangle.

Answers

30 i think

i think this is it because if i think it i know it ykwim hehhehhe mwah love uu

Answer:

20-length

10-width

Step-by-step explanation:

how do i solve part 3?

Answers

Answer:

17

Step-by-step explanation:

5. Express 12⁄16 in quarters.
a. 1⁄4
b. 1⁄3
c. 2⁄4
d. 3⁄4

Answers

Answer:

D

Step-by-step explanation:

Divide 16 by 4 to get the denominator of 4. Then divide 12 by 4 to get three. Therefore your answer is D. 3/4

Answer:

3/4

Step-by-step explanation:

All I did was divide the top and bottom number by 4. 12/4= 3 and 16/4=4

Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)

Answers

Answer:

11v+35v-30

Step-by-step explanation:

Find the slope of the line through the points (3,2) and (4,5).

Answers

Answer:

The answer is 3

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question we have

[tex]m = \frac{5 - 2}{4 - 3} = \frac{3}{1} = 3 \\ [/tex]

We have the final answer as

3

Hope this helps you

complete the table for values for y=x^2-x-2

Answers

Answer:

x    -3   -2   -1     0    1   2   3

y    10    4    0   -2   -2

Step-by-step explanation:

The given equation is y=x²-x-2.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

We need to find the y values of the give x values.

Given that, x = -3  -2  -1  0  1  2  3

When x = -3, y = (-3)²-(-3)-2

= 9+3-2 = 10

When x = -2, y = (-2)²-(-2)-2

= 4+2-2

= 4

When x = -1, y = (-1)²-(-1)-2

= 1+1-2

= 0

When x = 0, y = 0²-0-2

= -2

When x = 1, y = 1²-1-2

= -2

When x = 2, y = 2²-2-2

= 0

When x = 3, y = 3²-3-2

= 4

So, the complete table is

х  -3  -2  -1   0   1   2   3

y  10  4   0  -2  -2  0   4

There, the y values of the given x values in the given equation is y = 10, 4, 0, -2, -2, 0, 4.

To learn more about an equation visit:

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"Your question is incomplete, probably the complete question/missing part is:"

Complete the table for values for y=x²-x-2

х -3  -2  -1  0  1  2  3

y

During the summer, Jody earns $10 per hour babysitting and $15 per hour doing yardwork. This week she worked 34 hours and earned $410. If x represents the number hours she babysat and y represents the number of hours she did yardwork, which system of equations models this situation?

Answers

Given:

Jody earns $10 per hour babysitting and $15 per hour doing yardwork.

This week she worked 34 hours and earned $410.

To find:

The system of equations models this situation.

Solution:

Let x represents the number hours she babysat and y represents the number of hours she did yardwork.

Total number of hours is 34.

[tex]x+y=34[/tex]

Total income is $410.

[tex]10x+15y=410[/tex]

Therefore, the required system of equations has equations [tex]x+y=34[/tex] and [tex]10x+15y=410[/tex].

Question 2 (1 point)
Explain how you used the distribute property to find an equivalent expression for
4 (3+x)
ANYONE ITS WORTH 10 POINTS PLEASE???

Answers

an equivalent expression would be 12+4x bc u used the distribution property

What is the area of the triangle?

Answers

Answer:

63

Step-by-step explanation:

The derivation for the equation of a parabola with a vertex at the origin is started below. = StartRoot (x minus 0) squared + (y minus p) squared EndRoot = StartRoot (x minus x) squared + (y minus (negative p)) squared EndRoot (x)2 + (y – p)2 = (0)2 + (y + p)2 x2 + y2 – 2py + p2 = y2 + 2py + p2 If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 + 2p2 y2 = 4px y2 = 4py

Answers

Answer:

x2 = 4py

Step-by-step explanation:

Suppose you have a job teaching swimming lessons and get paid $6 an hour.
You also have a job as a cashier and get paid $8 an hour. If you cannot work
more than 15 hours a week, what are the number of hours you can work at
each job and still make at least $100?

Answers

Answer:

11 hours as a cashier

and 2 hours as a teacher

11 x 8 = 88

6 x 2 = 12

88 + 12 = 100

Step-by-step explanation:

Stephen collected data from a travel website. The data included a hotel's distance from Times Square in
Manhattan and the cost of a room for one weekend night in August. A table containing these data appears below.
0
1
1
3
4
7.
19
Distance From
Times Square
(city blocks) (x)
Cost of a Room
(dollars) (y)
293 263
244
224
185
170
219
153
136
111
Stephen calculated the linear regression equation to be y = -7.8x + 246.3. Using this equation, find the cost of a
room 5 city blocks away from Time Square.
1) $195
2) $207
3) $238
4) $285
What’s the answer?

Answers

Answer:

$207

Step-by-step explanation:

Given the following :

Data:

X : Distance From Times Square (city blocks)

Y: Cost of a Room (dollars) (y)

The linear regression model generated for the data :

y = -7.8x + 246.3

y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept

Using the model:

The cost of a Room 5 block away :

x = 5

y = -7.8(5) + 246.3

y = - 39 + 246.3

y = $207.3

a fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18

Answers

C. It would be 6 ÷ 18

find the linear function from the table

Answers

y=6x-74

on your calculator press stat enter and plug in your values, then go to stay, move one over to calc and press 4 to find the linear function

In one month, Jillian made 36 local phone calls and 20 long distance calls.

What was her ratio of local calls to long distance calls for that month?


A. 2:1

B. 3:2

C. 9:4

D. 9:5

Answers

Answer:

D.

Step-by-step explanation:

Because 36:20 simplified is 9:5.

Answer:

It is D 9:5

Step-by-step explanation:

Beacuse 9x4= 36

and 5x4= 20

so 36:20 or 9:5

1 1/4 divided by 7 1/2

Answers

Answer:

1/6

Step-by-step explanation:

1 1/4 = 5/4

7 1/2 = 15/2

(5/4) / (15/2) = (5/4) x (2/15)

= 10/60

= 1/6

10. Find the parallel slope: (-2.9) and (1.-3).

Answers

-12 or -12/1 that’s the answer

i need this now please help me please !!

Answers

Area = 81 pi mi2

Circumference = 18 pi mi

um i think it’s 81 pi mi 2

Lin read for X minutes and Elena read for 5/8 more than that. Write an expression for the number of minutes elna read.only use decimals in your expression ​

Answers

4.5 answer is 4.5 the answer

Elena read X + 0.625 minutes.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

Lin read for X minutes and Elena read for 5/8 more than that.

That means,

the number of minutes Elena read,

= number of minutes Lin read + 5/8

= X + 5/8

= X + 0.625

Therefore, X + 0.625 is the required expression.

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