2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}​

Answers

Answer 1

[tex]\large\underline{\sf{Solution-}}[/tex]

Given inequation:

[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]

[tex]\sf\longmapsto 8x-2<12x+4[/tex]

[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]

[tex]\sf\longmapsto 8x-6<12x[/tex]

[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]

[tex]\sf\longmapsto -6<4x[/tex]

[tex]\sf\longmapsto 4x>-6[/tex]

[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]

[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]

Therefore:

[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]


Related Questions

Please help!! I will give a good rating and brainliest if it let's me!!!!

Answers

Answer:

3/4 is the slope

Step-by-step explanation:

slope= mx+b

so,

(10,30) is an exact meet

so is (50,60)

so what is the rise/run

answer

30/40

or

3/4

so mx+b=

3/4x+22

full equation is 3/4x+22

Which expression is equivalent to f+f-5f

Answers

It won’t let me answer

26.
ndicate which student has the higher z score.
Art Major
I-46 T-50.5 :- 5.2
Theater Major X - 70 T-75.1 :-7.3

Answers

Answer:

boom bam ba boom bam ba

Help me I need this urgent

Answers

Answer:

b(-1)= -6

b(0)= -4

b(4)=  4

Step-by-step explanation:

2(-1) - 4

-2-4=-6

2(0) - 4

0 - 4 = -4

2(4) - 4

8 - 4 = 4

Answer:

-6, -4, 4

Step-by-step explanation:

What's the missing addend 634 + =644

Answers

Answer:

10

Step-by-step explanation:

it is 10 cause 634+10=644

Answer:

10

Step-by-step explanation:

What is the missing addend?

We can fill in the blank with x

634+x=644

Now we need to get x to the other side

The rule to do this is what we do on one side we have to do the same thing to the other side

so if we subtract 634 on one side we also have to do that on the other side as well:

634-634+x=644-634

634-634 is 0

So it is

x=644-634

644-634 is 10

x=10

So the missing addend is 10

Hope this helps!

A researcher testing a hypothesis that the population mean is 25 takes a sample of size 36 and obtains a sample mean of 23 with an estimated standard error of 4. What is the observed value of the test statistic

Answers

Answer:

The test statistic is 23

Step-by-step explanation:

Best way to understand this is to think of a sample and it's purpose;

You take a sample to get information that can be extrapolated to apply to the whole population;

So, for example, you have a factory making light bulbs, and you want to find out how long they last;

You would take a number of light bulbs from the production line, i.e. a sample, and test these;

It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;

You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;

The sample is the handful of light bulbs chosen to test;

The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;

Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;

A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;

The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);

Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;

This value is almost always theoretical and would be assumed from a test statistic in any real scenario.

WILL MARK BRAINIEST!! 50 POINTS.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answers

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Hope this helped!

5. What is the correct expanded form for the number 84.76?
80 + 4 + 0.07 + 0.006
80 + 4 + 0.7 + 0.06
0 +
800 + 40 + 0.7 + 0.06
O 80 + 4 + 0.7 + 0.6
4

Answers

Answer:

80+4+0.7+0.06

There is no step by step.

Find the slope of the line through (1, 2) and (- 9,7).

Answers

Step-by-step explanation:

formula y2-y1 / x2-x1

m = 5 / -10 = 1 / -2 = -0.5

The radius of a circle wheel is 35 cm. How many revolutions does it make to cover a distance of 81.40

Answers

Answer:

.37 resolutions

Step-by-step explanation:

2×22/7×35

44.5×=220

0.37 revolutions

The data set represents the total number of tickets each person purchased for a play.
0, 0, 1, 1, 1, 2, 2, 2, 4, 4.
What is the median of the data?
0 1
0 1.5
2.
ОО
0 2.5

Answers

the median is 1.5, hope this was helpful :)
The median was around 1.5

parallel to the line y=3/5x-8; passes through (0,-3)

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]

so we're really looking for the line of a slope of 3/5 and passing through (0,-3)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]

Which of the following is most likely the next step in the series?

Answers

Answer:

The answer is C

Step-by-step explanation:

(I'm not completely sure)

Nora sold a dozen roses in eAch of the 1,000 sales 6 months ago. How many roses did she sale

Answers

Nora sold 12,000 roses

please help me do this question​

Answers

Answer:

hope you understand my answer:)

please help meeeeeee​

Answers

Answer: That would be distributive

Step-by-step explanation:

distributive property!!!

Plz HELP ME NOWWWWWWWW

Answers

Answer:

x=13

Step-by-step explanation:

(4x-20+x-1)/8 = (3x-9+4x-16)/12

(5x-21)/8=(7x-25)/12

(5x-21)/8 x 12/1 = (5x-21)/2 x 3/1 = (15x -63)/2

15x - 63 = 14x - 50

x=13

I need help plz it’s due tonight !!!!!!!

Answers

Answer:

hmm it's like ut I do know and my answer

Please Help - For the equation given below, evaluate y′ at the point (−1,2).
ey+19−e2=3x2+4y2.


y′ at (−1,2) =

Answers

[tex]e^y +19-e^2 = 3x^2 +4y^2\\\\\implies \dfrac{d}{dx}(e^y +19-e^2) = \dfrac{d}{dx}(3x^2 +4y^2)\\\\\implies e^y \dfrac{dy}{dx}+0 = 3\dfrac{d}{dx} x^2 +4\dfrac{d}{dx} y^2\\\\\implies e^y y' = 6x + 8y y'\\\\\implies e^y y' -8yy' = 6x\\\\\implies y'(e^y -8y) = 6x\\\\\implies y' = \dfrac{6x}{e^y -8y}\\\\\text{At point (-1,2)}\\\\y' = \dfrac{6(-1)}{e^2 -8(2)} = - \left(\dfrac{6}{e^2 -16}\right) =-0.25[/tex]

Which type of data would be best displayed in a box plot?

the number of inches of snow received each year by a ski resort

the portion of the drama clubs budget needed for each type of expense

the number of heads and tails that came up in 100 coin flips

the number of votes received by each of four candidates

Answers

Answer:

the portion of the drama clubs budget needed for each type of expense

Step-by-step explanation:

the number of inches of snow received each year by a ski resort

- you should use line graph to see data changing in consistent time period

the portion of the drama clubs budget needed for each type of expense

- you can use box plot to see the box plot to show median and q1 q3 of the expenses.

the number of heads and tails that came up in 100 coin flips

- you should use pie chart to see the percentages in entire population  

the number of votes received by each of four candidates

- you should use bar graph to compare 4 comparable object.

The portion of the drama clubs budget needed for each type of expense

What is a data set?

A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data, where each column of a table represents a specific variable and each row represents a specific record of the data set in question.

a) The number of inches of snow received each year by a ski resort

you should use a line graph to see data changing in the consistent time period

b) The portion of the drama club budget needed for each type of expense

you can use the box plot to see the box plot to show the median and q1 q3 of the expenses.

c) The number of heads and tails that came up in 100 coin flips

you should use a pie chart to see the percentages in the entire population  

d) The number of votes received by each of the four candidates

you should use a bar graph to compare 4 comparable objects.

Therefore a portion of the drama club's budget is needed for each type of expense.

To know more about datasets follow

https://brainly.com/question/12402189

#SPJ2

Which sentence is punctuated correctly? Finally Juno, and her satellite were able to return home to her family. Finally Juno and her satellite were able to return home to her family. Finally Juno and her satellite, were able to return home to her family. Finally, Juno and her satellite were able to return home to her family.

Answers

Answer:

Finally, Juno and her satellite were able to return home to her family.

Step-by-step explanation:

Answer:

Finally, Juno and her satellite were able to return home to her family

Step-by-step explanation:

What type of association does the graph show between x and y

Answers

Answer:

Nonlinear positive association

Step-by-step explanation:

It is nonlinear because it does not form a straight line.

It is positive because it is going up to the right.

I hope this helps!

How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the number of years to the
nearest hundredth
see score

Answers

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

  t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

In one month Karissa earned $600 at her part-time job, and $50 was withheld for federal income tax. Suppose she earns $900 next month. How much will be withheld for federal income tax?

Answers

Don't get me wrong, I am not exactly sure but I believe it is supposed to be 75$.

Choose the best selection for the quadrilateral with vertices at the following points: (-2,0), (0,4), (4,0), (6,4) Hint: Start by graphing the points. Distance Formula: d= (x2 – x1)2 + (y2 – yı)? + B. Parallelogram a. Rectangle D. Trapezoid Rhombus​

Answers

The best selection for the quadrilateral with the given vertices is: parallelogram.

Recall:

Parallel lines are lines do not intersect and they are equal distant apart.

The opposite side of a parallelogram are of equal length.

Thus, the points of the vertices of the quadrilateral has been graphed in the diagram shown below:

Point A (-2,0)

Point B (0,4)

Point C (6,4)

Point D (4,0)

Find the distance between each vertices using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Distance between Point A (-2,0) and Point B (0,4):

[tex]AB = \sqrt{(0 -(-2))^2 + (4 - 0)^2} \\\\\mathbf{AB = \sqrt{20} }[/tex]

Distance between Point B (0,4) and Point C (6,4):

[tex]BC = \sqrt{(6 - 0)^2 + (4 - 4)^2} \\\\\mathbf{BC = 6 }[/tex]

Using the same distance formula, CD = √20 while AD = 6

This means that the opposite sides of the quadrilateral with the given vertices are equal in length. Parallelogram has two pairs of equal sides.

Therefore, the best selection for the quadrilateral with the given vertices is: parallelogram.

Learn more about Parallelogram on:

https://brainly.com/question/12167853

Please help me prove that RST is congruent to RUT!

Answers

Answer:

See image

Step-by-step explanation:

On line 3, the reason is filled in that "All right angles are congruent" so kind of working backwards, the statement must say that two right angles are congruent. Use the angles in the previous two statements. Line 4 has the statement completely filled in, the reason is bc it is given in the list of given statements beside the diagram. Line 5 says that RT is congruent to itself. That is reflexive property, like a reflection in a mirror. Same ~= same.

You can see from the markings on the image that you have Angle-Side-Angle, which is one of several ways that we can show that triangles are congruent. ASA is what is shown in statements 1-5. See image.

Not graded help please

Answers

Y=m+6 should be the correct answer

Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form

Answers

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y (Addition Property of Equality)

1/5x+8/5=y (Division Property of Equality, slope of original equation is 1/5)

y-y1=m(x-x1)    (point-slope formula)

y-(-5))=1/5(x-(6)) (plug in the slope that was found earlier and the point given in the question)

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

y=1/5x-31/5 (Subtraction Property of Equality, and there's your answer)

y=0.2x-6.2 (This is the same answer, but written with decimals)

15.
How many values are in the data set whose histogram is shown below?

Answers

The total values in the dataset is 24 values

From the given histogram, to get the number of values in the dataset, we will have to trace each bar to the y-axis and then take the sum.

For the black bar, the total values of the dataset will be 11 + 2 = 13For the white bar, the value of the data st will be 3For the grey bar, the total values of the dataset will be 1 + 2 = 3For the ask bar,  the total values of the dataset will be 2 + 3 = 5

The total values of the dataset = 13 + 3 + 3 + 5

The total values of the dataset = 24 values

Hence the total values in the dataset is 24 values

Learn more on histogram here: https://brainly.com/question/9388601

Answer:

answer is 22, is you add all the values

Step-by-step explanation:

Pls help I’ll brainlest ASAP and add extra points I’m failing

Answers

Step-by-step explanation:

you drew already the right things, you have everything.

so, what is the problem ?

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

so, for the 2 marked points you showed correctly the differences :

x changes by +8 (from -4 to 4).

y changes by -2 (from 3 to 1).

so the slope is -2/+8 = -1/4

the y-intercept we also see directly in the chart : +2.

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