Which is the standard form of linear equations in two variables 2x + 3y=6 and y-x= 2 in standard
form and write the values of a1,b1,c1 ,a2,b2,c2

Move all terms not containing x to the right side of the inequality. Inequality Form:

x≤4

Interval Notation: (−∞,4]

No, x2 is not an inverse function. An inverse function is a function that reverses the order of the input and output of another function.

No, x2 is not an inverse function. An inverse function is a function that reverses the order of the input and output of another function. This means that the output of the inverse function is the input of the original function, and the input of the inverse function is the output of the original function. The x2 function does not meet this criteria, as it is simply a function that squares the input.

No, x2 is not an inverse function. An inverse function is a function that reverses the order of the input and output of another function.

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For the given circumcenter H of the triangle BCD , the measure of the following are :

CD =64 , CE = 26 , HD = 33 , GD = 29 , HG =15.8 , HF = 8.1

As given in the question,

In the given triangle BCD,

H is the circumcenter.

Circumcenter is formed by the intersection of the perpendicular bisectors.

From the attached figure ,

F is the midpoint of CD

CD = 2FD

      = 2(32)

      = 64

E is the midpoint of BC

CE = BE

     = 26

HD = HC

     = 33

G is the midpoint BD

GD = ( 1/2 ) BD

     = (1/2)58

     = 29

In right angled triangle HGD

HG = √HD² - GD²

      = √33² - 29²

      = 15.8

HF = √HD² - FD²

      = √33² - 32²

      = 8.1

Therefore, for the given triangle BCD with H as circumcenter the required measure are:

CD =64 , CE = 26 , HD = 33 , GD = 29 , HG =15.8 , HF = 8.1

The above question is incomplete , the complete question is:

If H is the circumcenter of triangle BCD, find each measure. CD, CE, HD, GD, HG, HF.

Diagram is attached.

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The method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial is called completing the square.

The steps to complete the square are as follows:

Move any constant term to the right side of the equation by subtracting it from both sides.

Divide the coefficient of the x term by 2 and square that number, add it to both sides of the equation.

Factor the left side of the equation as a perfect square trinomial.

Take the square root of both sides of the equation, and then add or subtract the value from dividing the coefficient of the x term by 2 to the right side to solve for x.

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A possible factor of x³ - 6x² + 11x - 6 is (x - 1).

Let us choose a number randomly and plug in the polynomial. After plugging the number in the given polynomial if we get the result as zero then we can express it in the form (x - a) as a factor of the given polynomial. (Here 'a' is the randomly chosen number).

Let us choose the number 1 and plug in the polynomial.

x³ - 6x² + 11x - 6 = (1) ^ 3 - 6 (1) ^ 2 + 11 (1) - 6 = 0

Hence, we can say that (x - 1) is a possible factor of the given polynomial

x³ - 6x² + 11x - 6.

The given question is incomplete, the complete question is:

What is a possible factor of x³ - 6x² + 11x - 6?

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The simple interest amount which applies to the principal given the rate and time as required to be determined is; 18.

It follows from the task content that the interest earned on a principal amount of 600 using a rate of 4% per annum over the course of 9 months is to be determined.

Since the interest earned, i is given by the formula;

i = prt

where, p = principal = 600.

r = annual interest rate = 4% = 0.04

t = time = 9 months = 0.75 years.

Hence, the interest earned is;

i = 600 × 0.04 × 0.75

i = 18.

Ultimately, the interest earned is; 18.

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Answer:

Step-by-step explanation:

28/7=4

4 teams

The distance between the point A and B is 15 units.

The distance between two points can be found using Pythagoras's principle.

Point A is located at (7,4), and point B is located at (-8,4). Let's find the distance between point A and B as follows:

Therefore,

d = √(y₂ - y₁)² + (x₂ - x₁)²

Hence, using (7, 4) (-8, 4)

x₁ = 7

x₂ = -8

y₁ = 4

y₂ = 4

Hence,

d = √(4 - 4)² + (-8 - 7)²

d = √(0)² + (-15)²

d = √225

d = 15 units

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Answer:

Attached, [tex]p \geq 4[/tex]

To solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation by itself.

If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.

However, if you divide or multiply by a negative number by both sides in an inequality, you must flip the sign.

For example:

> to <

to

Divide -4 on both sides.

[tex]\frac{-16}{-4} \geq \frac{-4p}{-4}[/tex]

[tex]4 \geq p[/tex]

Flip the sign.

[tex]4\leq p[/tex]

[tex]p\geq 4[/tex]

When the line is pointing right, it means the variable is greater than the said number. If the dot is filled in, it means greater than or equal to or less than or equal to. If it is not filled in, it means greater than or less then.

The answer is:

4 ≤ p

Work/explanation:

The inequality is:

[tex]\sf{-16\geqslant-4p}[/tex]

To solve, divide each side by -4. Since we're dividing by a negative number, we will reverse the inequality sign.

We end up with:

[tex]\sf{4\leqslant p}[/tex]

105 joule/second is the power generated in a body moving at a velocity of 15m/s with a force of 7N in 2s​

The word "force" has a specific meaning in science. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There is no distinction between living and non-living things in the concept of a force.

Given, a body moving at a velocity of 15m/s with a force of 7N in 2s​

From the general formula of Power

Power = force * velocity

In our case

force = 7N

velocity = 15 m/s

Thus,

Power = 7 * 15 Nm/s

Power generated in body = 105 Nm/s or joule/s

Therefore, the power generated in a body moving at a velocity of 15m/s with a force of 7N in 2s​ is 105 joule/second.

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Answer:

work output = 40 N*m

Work input = 60 N*m

Efficiency = 66.67%

Step-by-step explanation:

I did this on a paper so Im sorry but it's to complicated to explain the work proof on the computer. I dont want to type all that equation stuff but thats the answer.

The concept of statistical significance is mathematically defined and widely accepted by those who use it to assess the usefulness of scientific claims.

However, there is no single definition for practical significance. It is subjective in nature, experiential, and each person decides what it is based on their own experiences.

Thus, it is clear that while Practical significance lacks a common definition, statistical significance has a mathematical definition and is widely accepted by those who use it to assess the usefulness of scientific claims. It is a subjective concept that each person decides for themselves based on their personal experiences.

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The volume of rectangular prism is  0.625 cm^3.

the volume of rectangular prism=w*h*l

w=1.5cm h=1/4 cm l=5/3cm

volume = 1.5*1/4*5/3

=0.625cm^3

The volume of a rectangular prism is  0.625 cm^3.

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The other two angles in an obtuse angled triangle are acute because one of them is greater than 90 degrees and the other two are less than 90 degrees.

Any triangle with an interior angle greater than 90 degrees is said to have an obtuse angle. The sum of the other two angles in an obtuse triangle is less than 90° if one angle in the triangle is greater than 90°.

Obtuseness can never exist in an equilateral triangle. Each of the equal sides and angles in an equilateral triangle measures 60°, making them all sharp. Because of this, an equilateral angle can never be acutely inclined.

The triangle's longest side is the one across from the acute angle.

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The formula of v is equal to the ratio of 10u to (u+10) that is 10u/(u+10).

The given formula is an equation that relates two variables, u and v, in an experiment on lenses. The equation states that the ratio of (u - v) to (uv) is equal to 1/10.

That is,

u-v / uv = 1/10

To solve for v, we can use algebraic manipulation techniques. By multiplying both sides of the equation by (uv), we get

(u - v) = (uv) / 10.

Then, by adding v to both sides, we get,

u = v + (uv) / 10

u = v (1 + u/10)

10u = v (u+10)

Finally, by dividing both sides by (u+10), we arrive at the final solution:

v = (10u/(u+10))

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The co-ordinates of a point C on AB produced so that 3AB = AC, where A = (3 ,2) and B = (-2 , 4) is  (-13,-2).

Using the section formula, if a point[tex]$(\mathrm{x}, \mathrm{y})$[/tex]divides the line joining the points [tex]$\left(\mathrm{x}_1, \mathrm{y}_1\right)$[/tex]and[tex]$\left(\mathrm{x}_2, \mathrm{y}_2\right)$[/tex]externally in the ratio [tex]$\mathrm{m}: \mathrm{n}$[/tex], then

[tex]$(\mathrm{x}, \mathrm{y})=$[/tex][tex]$\left(\frac{m x_2-n x_1}{m-n}, \frac{m y_2-n y_1}{m-n}\right)$[/tex]

Since, , [tex]$3 \mathrm{AB}=\mathrm{AC} \Rightarrow \frac{\mathrm{AB}}{\mathrm{AC}}=\frac{1}{3}$[/tex]

[tex]& \Rightarrow \frac{\mathrm{BC}}{\mathrm{AC}}=\frac{3-1}{3}=\frac{2}{3}[/tex]

Substituting[tex]$\left(\mathrm{x}_1, \mathrm{y}_1\right)=(3,2)$[/tex] and [tex]$\left(\mathrm{x}_2, \mathrm{y}_2\right)=(-2,4)$[/tex]and [tex]$\mathrm{m}=2, \mathrm{n}=3$[/tex] in the section formula, we get

[tex]$$\mathrm{C}=\left(\frac{2(-2)-3(3)}{2-3}, \frac{2(4)-3(2)}{2-3}\right)=(-13,-2)$$[/tex]

The complete question is,

Find the co-ordinates of a point C on AB produced so that 3AB = AC, where A = (3 ,2) and B = (-2 , 4)

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The slope of the given line passing through the points ( -2 ,7 ) and ( 4, 9 ) is given by ( 1 /3 ).

As given in the question,

Given line passes through the points :

( x₁ , y₁ ) = ( -2 ,7 )

( x₂ , y₂ ) = ( 4, 9 )

Standard formula to calculate the slope of the line passing through two coordinates is :

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value of the given points we get,

Slope = ( 9 - 7 ) / ( 4 - ( -2 ) )

⇒ Slope = 2 / 6

⇒ Slope = 1 / 3

Therefore, the required slope of the line passing through the given points is equal to ( 1 / 3 ) .

The above question is incomplete, the complete question is :

What is the slope of the line that passes through the point  (- 2, 7 ) and

(4, 9)?

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By using the ratio, we can see that the fraction 3/5 of the total number of books are chapter books, then there are 300 chapter books in the children's section.

We know that the ratio of picture books to chapter books is 2:3

This means that (2/5) of the total books are picture books, and (3/5) of the total books are chapter books (the denominator of these fractions is the sum of the values in the ratio)

Now we know that there is a total of 500 books in the children's section, then the number of chapter books is:

N = (3/5)*500  =300

There are 300 chapter books.

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The correct answer is B. $1,000. According to a survey conducted by Bankrate in 2019, 48% of Americans reported having less than $1,000 in savings.

This can be calculated using the following formula:

Percentage of Americans with less than $1,000 in savings = (Number of Americans with less than $1,000 in savings / Total number of Americans surveyed) x 100

Using the data from the survey, the formula can be expressed as follows:

Percentage of Americans with less than $1,000 in savings = (11,094 / 23,064) x 100 = 48.1%

This means that nearly half of all Americans reported having less than $1,000 in savings. This is a concerning statistic, as it indicates that many Americans are not preparing adequately for financial emergencies.

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Rounded to the nearest whole number, the probability that the two cards dealt to Annika will both be diamonds is 9.52%. The concept that is used to answer this question is probability.

To calculate the probability that Annika gets two diamond cards dealt to her, we need to find the number of favorable outcomes (getting two diamond cards) and divide it by the total number of possible outcomes (getting any two cards from the remaining 15 cards in the deck).

Since the cards are dealt without replacement, the total number of possible outcomes will be (15 choose 2) = 105.

To find the number of favorable outcomes, we need to find the number of ways to choose 2 cards from the 5 remaining diamond cards. This can be calculated as (5 choose 2) = 10.

So the probability of getting two diamond cards dealt to Annika is: (Number of favorable outcomes) / (Total number of possible outcomes) = 10/105

To express the probability in percentage format, we multiply the fraction by 100

10/105 * 100 = 9.52%

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Based on the graph provided, g(x) is negative only on the interval (6, infty), since that's when the y-values of g(x) are negative (or below the x-axis).

On that interval of (6,infty), f(x) is also below the x-axis, so (6,infty) is your answer.

Aaron's weight is $118$ pounds - $54$ pounds = $64$ pounds more than Levi's weight.

Weight is a measure of the gravitational force of attraction between an object and the Earth, or between two objects. It is measured in Newtons (N) or kilograms (kg). Weight is created by the force of gravity that pulls objects toward the center of the Earth. The greater the mass of an object, the greater the force of gravity and thus the greater its weight. Weight is an important factor in determining the motion of an object and its interaction with other objects.

Aaron's weight is $10$ pounds more than twice Levi's weight, so Levi's weight is $\frac{1}{2}(118 - 10) = 54$ pounds. This means that Aaron's weight is $118$ pounds - $54$ pounds = $64$ pounds more than Levi's weight.

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Therefore , the solution of the given problem of confidence interval comes out to be Nearest values are (48.1%, 61.9%) choice c is the best one.

The 68-95-99.7 Rule states that 95% of values fall between the range of  2 standard deviations, hence to calculate the 95% confidence interval, you add or remove two standard deviation from the mean.

Here,

The level of assurance is 0.99.

=>1-α=0.99

=> α=1-0.99

=> α = 0.01

A 99% confidence interval again for population proportion is then

p±Za =√p(1-p)/n

=>0.55 ±Zooo₅ √0.2475/ 336

=>0.55± (2.58) √0.2475/ 336

=>0.55±0.0700

=>(0.55-0.0700, 0.55+0.0700)

= >(0.48,0.62)

=(48%,62%)

Nearest values are (48.1%, 61.9%).

Therefore, choice c is the best one.

Therefore , the solution of the given problem of confidence interval comes out to be Nearest values are (48.1%, 61.9%) choice c is the best one.

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Answer:

D.

Step-by-step explanation:

x + 6 ≤ 8

Subtract 6 on both sides.

x ≤ 2

Option D.

Answer:

D. (4, -7)

Step-by-step explanation:

To see if a point lands on the graph of a line, substitute the coordinates (x, y) to the x and y in the equation to see if the result is true:

Option A: (2, 7)
Substitute the values in:

[tex]y=-2x+1\\7=-2(2)+1\\7=-4+1\\7=-3[/tex]
Not true.
So option A is out.

Option B: (3, -8)

Substitute the values in:

[tex]y = -2x + 1\\-8=-2(3)+1\\-8=-6+1\\-8=-5[/tex]

Not true.
So option B is out.

Option C: (6, 8)

Substitute the values in:

[tex]y = -2x + 1\\8=-2(6)+1\\8=-12+1\\8=-11[/tex]

Not true.
So option C is out.

Option D: (4, -7)

Substitute the values in:

[tex]y = -2x + 1\\-7=-2(4)+1\\-7=-8+1\\-7=-7[/tex]
True.
So point (4, -7) lands on the graph of the line. You can also see this visually in a graphing calculator:
(See picture)

The difference between addition or subtraction and multiplying decimals is vary of decimal point places.

What is decimal numbers?

A fraction with a power of 10 as the denominator is known as a decimal number. For instance, the decimal equivalent of the fraction 4/10 is 0.4. The decimal point is the dot found in decimal figures. The fraction's numerator, or fractional component, is indicated by the number to the right of the decimal point.

We align the decimal points for addition and subtraction so that the decimal and whole number components are aligned.

The only difference between multiplying decimals and multiplying whole numbers is where the decimal point appears in the solution.

In order for the number of decimal places in the product to equal the sum of the decimal places in the factors, the decimal point must be inserted in the product when multiplying decimals.

Hence the difference between addition or subtraction and multiplying decimals is vary of decimal point places.

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After solving the linear system of equations given, the result shows it has infinitely many solutions.

In mathematics, a collection of two or more linear equations containing the same variables is referred to as a system of linear equations. Here, one might say that linear equations are those of the first order, where the maximum power of the variable is 1. One variable, two variables, or three variables can all be included in a linear equation.

Systems of equations known as linear systems are those in which the variables are always multiplied solely by constants before being added together. Both static and dynamic relationships between variables are described by linear systems.

5x - y = 15 ...............(1)

-10x+2y=-30 ................ (2)

Now, multiply (1) by 2

10x - 2y = 30 ................. (3)

now, add the equation (2) from (3) we get

10x - 2y = 30

-10x + 2y = -30

0 = 0

that means we get infinitely many solutions.

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The complete question is as follows:

Use substitution to solve the linear system of equations.

5x-y=15

-10x+2y=-30

no solution (-15, -6)(-3,10)infinitely many solutions

Answer:

brian is 15 and alice is 13

Step-by-step explanation:

just use x+x+2=28 nd u will get the answer

The correct statements are:

The triangle and trapezoid area formulas have 1/2.

The parallelogram and rectangle formulas are both the same.

In the trapezoid formula, the bases are added.

A triangle is a polygon with three sides and three vertices. A triangle's angles add up to 180 degrees.

Area of a triangle = 1/2 x base x height

A trapezium is a quadrilateral that is convex. A trapezium is made up of at least two parallel sides. Area of a trapezium = 1/2  x (sum of the lengths of the parallel sides) x height

A rectangle is a quadrilateral in two dimensions with four right angles. Area of a rectangle = length x width

A parallelogram is a quadrilateral with two parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

Hence, the correct statements are options (A), (B), and (D).

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The question seems to be incomplete the correct question would be:

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is

considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that

apply.

A. The triangle and trapezoid area formulas have 1/2.

B. The parallelogram and rectangle formulas are both the same.

C. In the parallelogram formula, the bases are added.

D. In the trapezoid formula, the bases are added.

E. In the triangle formula, the sides are added, then multiplied by 1/2​

The number of guests that will not let her divide the party favors to be evenly divided is:

numbers other than 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of party favors = 60

The factors of 60 are 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

i.e

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

10 x 6 = 60

12 x 5 = 60

15 x 4 = 60

20 x 3 = 60

30 x 2 = 60

60 x 1 = 60

This means,

The number of guests other than the factors of 60 will not let her divide the party favors evenly.

Thus,

The number of guests in order for the party favors being evenly divided are

2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

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