Which ordered pair is a solution to the linear inequality y ⩾ 2x–4?a.(1,2)
b.(1, 1)
c.(2,-3)
d.(2,4)​

Answers

Answer 1

The linear inequality y⩾2x–4 can be expressed in the standard form of an inequality as y-2x⩾–4.

This means that the y-value must be greater than or equal to the result of the calculation 2x–4. To solve this inequality, we can substitute an x-value and calculate the corresponding y-value. For example, if we choose an x-value of 1, then we can calculate the y-value as y = 2x–4 = 2(1)–4 = –2. Therefore, the ordered pair (1,2) is a solution to the linear inequality, as the y-value (2) is greater than or equal to the result of the calculation 2x–4 (–2). The ordered pair (1,1) is not a solution to the linear inequality, as the y-value (1) is less than the result of the calculation 2x–4 (–2). The ordered pair (2,–3) is not a solution to the linear inequality, as the y-value (–3) is less than the result of the calculation 2x–4 (–4). The ordered pair (2,4) is a solution, as the y-value (4) is greater than or equal to the result of the calculation 2x–4 (–4).

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Related Questions

True or False: The first equation can be algebraically manipulated into the second equation. (in
other words, the two equations are equivalent)
1st: 6x +2=-20
2nd: 6x +22=0
o True
O False

Answers

Answer: False.

Step-by-step explanation: The two equations are not equivalent because the constant terms on the right side of each equation are different. The first equation has -20 on the right side, while the second equation has 0 on the right side. The equations cannot be manipulated into each other because the constant terms are different.

1\2 y= 1 in standard form

Answers

Answer:

y=2

Step-by-step explanation:

mother plays that you can in the oven when the clock in the dining room shows 10 minute past 7:00 the clock is 15 minutes fast the chicken will take 45 minutes to get ready. what will be the actual time when it is finished?​

Answers

40 minutes past 7:00 is the actual time when the chicken will get ready.

What is the use of clock?

The tool used to measure and indicate time is a clock or timepiece. The clock, one of the earliest creations by humans, satisfies the need to measure time periods that are shorter than those represented by natural units like the day, lunar month, and year. Over thousands of years, several physical processes have been utilized by devices.

The following examples of clocks that are based on movement in nature could be regarded forerunners of the modern timepiece: Through the positioning of a shadow on a flat surface, a sundial displays the time.

The hourglass is a well-known illustration of the variety of duration timers available. The two possible oldest clocks used to measure time are sundials and water clocks.

In Europe, the earliest mechanical clocks that kept time with oscillating timekeepers such balance wheels were made possible around 1300 thanks to the development of the verge escapement, which was a significant advancement.

Given the current time is 10 minute past 7:00, i.e. 7:10

But the clock is 15 min faster the original time

Original time = 7:10 - 15 min

= 6:55

And given time for the chicken to get ready is 45 min

Adding 45 min

= 6:55 + 45 min

= 7:40

Thus, 40 minutes past 7:00 is the actual time when the chicken will get ready.

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Question 1 pls answer

Answers

Answer: False

Step-by-step explanation:

The question asks for 3*1/3.

In this case, this can be translated as 3/3.

3 divided by 3 equals 1, not 9.

So the answer is False.

PLS DO NUMBER 5 WILL MARK BRAINLIEST AND ADD 100 MORE POINTS HURRY PLEASE! THANK YOU

Answers

Answer: The 2nd table (blue)

Step-by-step explanation:

Find the missing side, round to the nearest tenth.

Answers

Answer:

x=40 HZ

..............

The temperature outside dropped 23 degrees in 6 hours. The final temperature was -6, what was the starting temperature?

Answers

The starting temperature would be 29 degrees.

What are the initial value and final value?

Initial value refers to the starting value or the value of a variable at the beginning of a process or time period. Final value refers to the end value or the value of a variable at the end of a process or time period. In the context of a mathematical function, the initial value would be the value of the function at the beginning of the domain and the final value would be the value of the function at the end of the domain.

If the temperature outside dropped 23 degrees in 6 hours. The final temperature was -6,

The starting temperature would be 29 degrees (-6 + 23).

Hence, the starting temperature would be 29 degrees.

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susi is making stickers from 2 sheets of sticker paper, each sticker uses 1/16 of a sheet. what is the greatest number of stickers susi can make with 2 sheets of sticker paper

Answers

The greatest number of stickers Susi can make with 2 sheets of sticker paper is 128.

What is a fraction?

A fraction is a way of representing a part of a whole or a ratio of two numbers. It is written as a ratio of two numbers, called the numerator and the denominator, separated by a horizontal line or a slash.

Each sheet of sticker paper can be used to make 1/16 of a sheet of stickers, so two sheets of sticker paper can be used to make 2 * (1/16) = 2/16 = 1/8 of a sheet of stickers.

Since a sticker uses 1/16 of a sheet, the greatest number of stickers Susi can make from 2 sheets of sticker paper is 1/8 * (1/1/16) = 8 * 16 = 128 stickers.

Hence, the greatest number of stickers Susi can make with 2 sheets of sticker paper is 128.

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Select the graph of the solution. Click until the correct graph appears.



| x | + 3 > 7

Answers

The inequality can be rewritten into:

x > 4 or x < -4

And the graph can be seen in the image at the end.

How to solve the inequality?

We want to solve the inequality below and then graph it, the inequality is:

|x| + 3 > 7

moving the 3 to the right side we get:

|x| > 7 - 3

|x| > 4

Now we can break the absolute value part into two:

x > 4

x < -4

That is the solution:

x > 4 or x < -4

The graph is the one below.

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The graph shows a scuba divers ascent over time. Use the graph to find the slope of the line. Complete the description of what the slope means in context.

Answers

The slope of the line is 0.05. This indicates that the diver ascends at a rate of 0.05 m/s.

What is slope?

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Given that, the graph shows a scuba diver ascent over time.

We see that,

He goes up 2 meters in every 40 seconds,

then, in 20 seconds, he will go 1 meter up

so,

1/20 = 0.05

Hence, the slope of the line is 0.05. This indicates that the diver ascends at a rate of 0.05 m/s.

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Which of the following best described the line that is passing through the ordered pairs given below? Select all that apply

(-4, 6) & (-4, 1)

Answers

The slope of the line is undefined.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-4, 6) and (-4, 1)

Now,

Since, The equation of line passes through the points (-4, 6) and (-4, 1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 6) / (-4 - (-3))

m = - 5 / 0

m = ∞

Thus, The slope of the line is undefined.

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How do you plot a negative graph?

Answers

Negative numbers are to the left of the origin on the x-axis and below the origin on the y-axis. To graph with negative numbers, start at the origin and go to the left if the x-value is negative, and downward if the y-coordinate is negative.

Now, According to the question:

Graph with Negative Numbers:

Graphing with negative numbers follows the same process as graphing with positive numbers, but the points will lay in quadrants II, III, and IV. Negative numbers are to the left of the origin on the x-axis and below the origin on the y-axis. To graph with negative numbers, start at the origin and go to the left if the x-value is negative, and downward if the y-coordinate is negative. Points in quadrant I will always follow the format (+, +). Points in quadrant II will be (-, +), points in quadrant III will be (-, -), and points in quadrant IV will be (+, -). The image below depicts four points graphed on the coordinate plane. Three of the points (green, blue, and purple) contain negative coordinates.

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Elementary and Middle School Mathematics: Teaching Developmentally.

Answers

"Elementary and Middle School Mathematics: Teaching Developmentally" is a widely used textbook for teaching math at elementary and middle school levels.

What is developmentally ?

In education, the term "developmentally" refers to the idea that students should be taught in a way that is appropriate for their developmental level. Developmental teaching is a student-centered approach that takes into account the students’ abilities, interests, and needs as they learn.

Elementary and Middle School Mathematics: Teaching Developmentally is a textbook that provides an overview of the principles and practices of teaching mathematics in the elementary and middle school levels. It is designed to help teachers understand the mathematical concepts and skills that students need to learn at each grade level, as well as the best ways to teach those concepts and skills. The book covers a wide range of topics, including number sense and operations, algebra, geometry, measurement, and data analysis. It also provides strategies for differentiating instruction, using technology, and assessing student learning. The book is written by John A. Van de Walle and Karen S. Karp, and it is widely used as a textbook for teacher education programs and professional development workshops.

"Elementary and Middle School Mathematics: Teaching Developmentally" is a widely used textbook for teaching math at elementary and middle school levels.

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Construct the graph of the direct proportion y=kx for each value of k k=3x

Answers

the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

Are these ratios equivalent 40/18 and 27/11

Answers

The ratios 40/18 and 27/11 are not equal because 20/9 and 3/1 are different fractions. They stand for various proportional connections between two quantities, in other words.

Why are there ratios not equivalent?

We need to see if the ratios of 40/18 and 27/11 fall to the same fraction when the numerator and denominator are both divided by their largest common factor (GCF).

Given that the GCF of 40 and 18 is 2, we can obtain 20/9 by reducing both the numerator and denominator of 40/18 by 2. Since the GCF of 27 and 11 is also 11, we obtain 3/1 when we divide the numerator and denominator of 27/11 by 11.

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Find the value of x.
Round to the nearest tenth.
X =
[?]°
А.
37
X
B
20
23
Law of Cosines: c² = a² + b² - 2ab cos C

Answers

The value of x is 28.4°. The solution has been obtained using the law of cosines.

What is law of cosines?

The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles.

Law of Cosines: c² = a² + b² - 2ab cos C

We are given a= 37, b=23 and x= 20

Using the law of cosines,

⇒x² = a² + b² - 2ab cos x

⇒20² = 37² + 23² - 2(37)(23) cos x

⇒20² = 37² + 23² - 2(37)(23) cos x

⇒400 = 1369 + 529 - 1702 cos x

⇒400 = 1898 - 1702 cos x

⇒1702 cos x = 1498

⇒cos x = 1498 /1702

⇒cos x = 0.88

⇒x = [tex]cos^{-1} (0.88)[/tex]

x = 28.4°

Hence, the value of x is 28.4°.

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What is the distance of point A (- 5/6 from the origin?

Answers

The distance between the point (-5, 6) to the origin is 61 units.

What do we mean by distance?

Regardless of direction, an object's distance is defined by its total velocity.

Distance is the amount of space an object has traveled, regardless of where it began or concluded.

Knowing an object's distance from us allows us to determine its true size.

The following formula is widely used to determine the distance between two points: d=((x2 - x1)2 + (y2 - y1)2)

The given point is thus:

(-5, 6)

Assume that (0, 0) serves as the origin and that the given position is at (-5, 6).

d=((-5 - x1)2 + (6 - y1)2)

d=((-5)2 + (6)2)

d=25+36

d=61 units

Therefore, the distance between the point (-5, 6) to the origin is 61 units.

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In the diagram AB=BC
Prove that ABCD is a cyclic quadrilateral
Give reasons for any statements you make.

Answers

Answer:

Step-by-step explanation:

A quadrilateral is cyclic if and only if the opposite angles are supplementary, or add up to 180 degrees. Angle ABC is equal to angle BCD in the diagram because they are opposing angles of a parallelogram.

Furthermore, because AB=BC, the opposite angles are congruent, which implies they are equal. Because angle ABC equals angle BCD, angle ABC Plus angle BCD equals 180 degrees. As a result, we may deduce that ABCD is a cyclic quadrilateral.

Another technique to demonstrate that ABCD is a cyclic quadrilateral is to use the theorem "In a parallelogram, opposite sides and opposite angles are equal."

A parallelogram has equal opposed sides and equal opposite angles. We know that AB=BC in this situation, thus AB and BC are opposing sides, implying that the quadrilateral is a parallelogram. And because the opposite angles are equal, the quadrilateral is cyclic.

As a result, the congruence of parallel sides and opposing angles establishes that the quadrilateral is a cyclic quadrilateral.

What is the line xy pass through origin?

Answers

A line in the xy-plane passes through the origin and has a slope of 1/7 is 7y = x.

In the given question, we have to find a line in the xy-plane passes through the origin and has a slope of 1/7.

The equation of the line is:

y - y(1) = m(x - x(1))

The given points is (0, 0). So

x(1) = 0 and y(1) = 0

From the given question, m = 1/7

Now putting the value in the equation of line

y - 0 = 1/7(x - 0)

y = 1/7 x

Multiply by 7 on both side, we get

7y = x

Hence, a line in the xy-plane passes through the origin and has a slope of 1/7 is 7y = x.

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The complete question is:

What is a line in the xy-plane passes through the origin and has a slope of 1/7?

What happens to the parent graph y= square root of X when the equation is changed to y=-2 square root of x-8 select all that apply.
Shift down 8 units, vertical stretch, reflect over the x-axis, shift up 8 units

Answers

Answer:

All except shift up.

What is the best method for solving a quadratic formula?

Answers

The best method for solving a quadratic equation depends on the specific equation and the context in which it is being used. However, the quadratic formula is a universally applicable method and it is one of the most widely used methods for solving quadratic equations.

The quadratic formula is a method for solving a quadratic equation, which is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants.

The quadratic formula is:

x = (-b ± √(b^2 - 4ac))/(2a)

It allows to find the solutions or roots, x, of a quadratic equation of the form ax^2 + bx + c = 0, where a, b, and c are constants.

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PLEASE HELP WILL GIVE BRAINLIST

The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.


Donuts 2 4 B 8
Cost A 31.60 39.50 C


Determine which table has the correct values for A, B, and C.

A Donuts 2 4 5 8
Cost 15.80 31.60 39.50 63.20

B Donuts 2 4 6 8
Cost 7.90 31.60 39.50 63.20

C Donuts 2 4 7 8
Cost 7.09 31.60 39.50 56.72

D Donuts 2 4 6 8
Cost 15.80 31.60 39.50 56.72

Answers

The table which has the correct values for A, B, and C is;

A. Donuts    2        4          5           8

   Cost      15.80  31.60   39.50   63.20

What is a proportional relationship?

In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

k is the constant of proportionality.y and x represent the variables in a proportional relationship.

Next, we would determine the constant of proportionality (k) for the data points on this graph as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 31.60/4

Constant of proportionality, k = 7.9

When the value x = 2, the value of A can be calculated as follows;

y = kx

A = 7.9 × 2

A = 15.80

When the value y = 39.50, the value of B can be calculated as follows;

x = k/y

B = 39.50/7.9

B = 5.

When the value x = 8, the value of C can be calculated as follows;

y = kx

C = 7.9 × 8

C = 63.20.

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In TrIangle ABC, a = 11 cm, b = 14 cm, and m^C = 73 degrees. Use the Law of Cosines to determine c to

the nearest tenth of a centimeter.

Answers

Using the Law of Cosines the value of c is approx 15 cm.

In the given question, in ∠ABC, a = 11 cm, b = 14 cm, and m∠C = 73 degrees. Use the Law of Cosines we have to determine c to the nearest tenth of a centimeter.

The law of cosines in trigonometry establishes a relationship between a triangle's side lengths and the cosine of one of its angles.

The formula of Law of Cosines is

[tex]{\displaystyle c^{2}=a^{2}+b^{2}-2ab\cos \gamma ,}[/tex]

Now putting the value in the formula

[tex]c^{2}=(11)^{2}+(14)^{2}-2\times11\times14\times\cos73[/tex]

Now solving,

[tex]c^{2}[/tex] = 121+196-308×0.29

[tex]c^{2}[/tex] = 317-89.32

[tex]c^{2}[/tex] = 227.68

Taking square root on both side

c = 15.09

c = 15 (approx)

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Ten balls in five lines Puzzle – Solution The puzzle Place 10 balls in 5 rows in such a way that each row contains exactly 4 balls.

Answers

Ten balls in five lines Puzzle – Solution The puzzle Place 10 balls in 5 rows in such a way that each row contains exactly 4 balls below figures are:

A puzzle is a sport, trouble, or toy that examines a person's ingenuity or understanding. In a puzzle, the solver is anticipated to position pieces together (or take them aside) in a logical manner, so that you can arrive at the appropriate or a laugh solution to the puzzle. There are special genres of puzzles, which include crossword puzzles, phrase-search puzzles, variety puzzles, relational puzzles, and good judgment puzzles. the academic take look at puzzles is referred to as enigmatology.

Puzzles are often created to be a form of leisure however they can also get up from critical mathematical or logical problems. In such cases, their solution can be a substantial contribution to mathematical research. Puzzles expand memory competencies, as well as the capability to devise, check ideas and solve troubles. even as completing a puzzle, children want to recollect shapes, colors, positions, and techniques to complete them.

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Question 2(Multiple Choice Worth 2 points)
(03.06 MC)
C
X
B
W D
y
What expression represents the value of y?
Oy=√xv
Oy = √wz
N
V
A

Answers

On solving the provided question, we can say that  the expression of the triangle will be as follows = y = [tex]\sqrt{xy}[/tex]

what is expression ?

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

here, the expression of the triangle will be as follows

y = [tex]\sqrt{xy}[/tex]

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conjecture for the relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y

Answers

The relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y is V₂ = 8V₁.

What is volume?

The volume of a thing is the area that it takes up in three dimensions. Simply said, a thing occupies space.

The volume of the sphere,

= 4/3πr³, with the radius r.

So, if the radius of the sphere is y.

Then the volume of the sphere,

V₁ = 4/3πy³.

So, if the radius of the sphere is 2y.

Then the volume of the sphere with the radius 2y,

V₂ = 4/3π(2y)³.

= 8(4/3)π(y)³.

= 8 x the volume of the sphere with the radius y.

= 8V₁

Therefore, the relationship is V₂ = 8V₁.

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What is the formula of parabola graph?

Answers

The standard form of the equation of a parabola is y = ax² + bx + c, where 'a', 'b' and 'c' are constants.

A parabola is a type of curve in mathematics, and it is defined by an equation of the form y = ax² + bx + c. Here, a, b, and c are constants and x is a variable. The graph of this equation is a U-shaped curve, which is symmetrical about the line x = -b/(2a). The curve has exactly one point of inflection, located at -b/(2a), and the curve opens either up or down depending on the value of a. The vertex of the parabola also occurs at the point -b/(2a). Parabolas are used to describe a wide range of phenomena, including projectile motion and the trajectory of satellites in space. They are also used in optics, engineering, and other sciences.

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What is the intermediate step in the form (x+a)2=b as a result of completing the square for the following equation?

Answers

The completing square form of the equation is  [tex](x+1)^2=-25[/tex].

What is completing square method?

By altering the equation's form so that the left side is a perfect square trinomial, a quadratic equation can be solved using the "Completing the Square" approach. One approach to locating the roots of the given quadratic equation is to complete the square method.

Here the equation [tex]x^2+2x=-26[/tex]

To completing the square of the equation add 1 on both sides then,

=> [tex]x^2+2x+1=-26+1[/tex]

=> [tex]x^2+2.x.1+1^2=-25[/tex]

=> [tex](x+1)^2=-25[/tex]

Hence the completing square of the equation is  [tex](x+1)^2=-25[/tex].

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pythagorean theorem word problems worksheet with answers

Answers

According to the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs of a right triangle.

In other words, [tex]a^2 + b^2 = c^2[/tex] for the triangle depicted below.

The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.

Construction projects and almost anything involving right triangles, such as roofing for homes, are common uses for this application.

Hypotenuse² = Base² + Perpendicular²

The Pythagorean Theorem is used in a variety of computations. For instance, it may be used to determine the height and distance of straight and fallen trees, as well as the steepness of hills and mountains.

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The table shows the length, in inches, of fish in a pond.


11 19 9 15
7 13 15 28


Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 28.
There is an outlier at 7.
There are outliers at 7 and 28.
There are no outliers.

Answers

Answer:

Step-by-step explanation:

THE OUTLINER IS 28!

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