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

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:

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:

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

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

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:

https://brainly.com/question/2463132.

#SPJ2

"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

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

Answers

Answer:

11v+35v-30

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

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

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

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

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

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°

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.

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.

To learn more about the expression;

brainly.com/question/24242989  

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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!

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

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

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].

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:

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

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

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.

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].

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

What is the area of the triangle?

Answers

Answer:

63

Step-by-step explanation:

how do i solve part 3?

Answers

Answer:

17

Step-by-step explanation:

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

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

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

Answers

-12 or -12/1 that’s the 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:

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