Write the equation of the line represented by the following graph​

2x - 4y + 9 is the equation of the line in standard form.

Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.

Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.

Lets write the equation of the line in standard form:

4y=2x+9

We know that standard form =  Ax + By=C

⇒ 4y = 2x + 9

⇒ 2x - 4y + 9

Here,

Ax = 2x

By = -4x

C = 9

Thus, 2x - 4y + 9 is the equation of the line in standard form.

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Amount is paid for a tip = $1.48 that is 15% of the total cost.

Amount of money paid by the customer himself to express the gratitude.

towards the hospitality made by the certain service sector.

cost of meal = $7.24

cost of coffee = $2.65

total cost including meal and coffee = $(7.24+2.65) = $9.89

tip is given by customer 15 % of total cost

the amount of tip paid = 15/100×9.89 =$1.48

The customer paid $1.48 along with total cost $9.89.

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The given statement "The notation "f(x)" (f of x) is another way of representing y-values in a function" is true because it represents the output values.

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

Generally speaking, the output values (y-values or range) of a data set (function) are plotted on the y-coordinate of a graph and they are typically denoted by either the notation f(x) or y.

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Complete Question:

The notation "f(x)" (f of x) is another way of representing y-values in a function. True or False?

The quadrilateral ABCD indicates that it is a rhombus.

A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another name for this object is an equilateral quadrilateral because all of its sides are equal in length.

The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond, or as a "lozenge," though the former term is occasionally used to refer specifically to a rhombus with a 60° angle which some authors refer to as a calisson after the French sweet , and the latter term is occasionally used to refer specifically

Lets mark the given points onto a graph

As you can see in the graph,

The points given for quadrilateral ABCD indicates that its is a rhombus

As, All sides are equal

opposites sides are parallel

Thus, The quadrilateral ABCD indicates that it is a rhombus.

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Answer:

d

Step-by-step explanation:

The expression (-4)^2/7 can be written as seventh root 16

The √ symbol that is used to denote square root or nth roots. A radical expression is an expression containing a square root. Radicand is a number or expression inside the radical symbol. Radical equation is an equation containing radical expressions with variables in the radicands.

For example, x^2/3, 3 is the root while 2 is the power of x . therefore the x^2/3 can be written as cube root of x squared.

Similarly in (-4)^2/7 2 is the power of (-4), this means (-4)² = 16

7 is the root of (-4)²

Therefore (-4)^2/7 can be written in radical for seventh root 16.

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The full price of the wallet that Nathan bought before the discount is $18.60

In this case, we are given that:

The total price after the discount = $17.67

Let’s assume that the full price of the wallet is X

The discount = 5% off = 0.05 X

We can find the full price by using this following formula:

Full price – discount price = total price after discount

X – 0.05X = 17.67

0.95X = 17.67

X = 17.67 : 0.95

X = 18.6

Therefore, the full price of the wallet before the discount is $18.6

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The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is r³ + 6.

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is given below:

(r⁴ - 3r³ + 6r - 18) / (r - 3)

The divisor is +3

The coefficients are:

   1    -3    6    -18

Using synthetic division

the first coefficient is 1

the second coefficient = 1 * 3 + -3

the second coefficient = 0

the third coefficient = 0 * 3 + 6

the third coefficient = 6

the fourth coefficient = 6 * 3 + (-18)

the fourth coefficient = 0

Therefore, the solution =  1(r⁴/r) + 0(r³/r) + 6(r/r) + 0

the solution = r³ + 6

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Scott receive 39-26= 13 dollar  when Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39.

Money is defined as something that serves as a medium of exchange.

Money has three functions that distinguish it from the rest of the assets: 1) It is a means of change; 2) It is a unit of account; and 3) It is a store of value.

1.- MEANS OF PAYMENT OR CHANGE: basically, it consists of the use of money to make any type of transaction, thus facilitating the exchange of goods, products and services. Deliver one thing for another.

2.- ACCOUNT UNIT: this fulfills the function of determining the units of value, or prices, that the goods, products and services have. It is related to the prices.

3.- DEPOSIT OF VALUE: it consists of being able to buy something in the future. Money has the capacity to remain stable over time, which allows a person who has a capital today to invest it in the following months, or even years

Lat Friday Scott had $26.

Over the weekend he received ome money for babyitting.

He now ha $39.

Scott receive 39-26= 13 dollar

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Answer:

m<T = 36*

m<V = 54*

Step-by-step explanation:

2x + 90 + 3x = 180

5x + 90 = 180

5x = 90

x = 18

<T = 2x = 18 * 2 = 36

<V = 3x = 18 * 3 = 54

Hope this helps!

A pyramid with a square base has a volume of 42.67 cubic meters.

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.

Here,

perimeter=12.8 m

side=12.8/4

=3.2 m

volume=1/3*3.2²*12.5

=1/3*128

=42.67 m³

The volume of a pyramid with a square base is 42.67 m³.

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The set of ordered pair (x,y) is a function If each value of x has exactly only one corresponding value of y .

What are Function ?

The Function is defined as a relation that associates each element 'a' from a non empty set A  to at least a single element 'b' from another non-empty set B.

For Example : Consider the ordered pairs , F = [tex][(0,4) , (2,3)][/tex] ;

the element 0 has the image as 4 , and the element 2 has the image as 3 .

So , we can see that , the each value of x has exactly only one corresponding value of y .

Therefore , the given ordered pair can be considered as a function .

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Answer:

2):  x - $31 = $69

Step-by-step explanation:

See attached worksheet.  The derivation of the answer, x - $69 = $31 (then x = $100) is shown.  Convert the written question into an equation:  If x is the amount given the cashier, then once $69 is subracted, Lemon receives $31:

   x - $69 = $31

This can be rearranged to:  x - $31 = $69, the second answer option.  Other options have errors, noted by the red circles.  There are no reasons that inequalities are involved, and seemingly random values of $61 and $30 have no relationship to the problem.

Answer:

B)  Let x = amount paid to cashier

         x - $31 = $69

         x = $100

Step-by-step explanation:

We want to determine the amount Lemon paid the cashier.  Therefore, the unknown variable is:

If Lemon received $31 in change, then the amount he paid the cashier less the change is equal to the cost of the walnuts:

To solve the equation, add $31 to both sides:

Therefore, the amount Lemon paid the cashier was $100.

Brianna will use 0.17 liters of the liquid

We know that an equation in which two ratios are set equal to each other is called as proportion.

Here, Brianna has a container which has 0.85 L of liquid in it.

Brianna needs to use 0.2 of this liquid.

Assume that 0.85 L represents the 100% of the liquid.

Then 0.2 represents 0.2 × 100 = 20% of the liquid .

Let Brianna will use x liters of liquid.

Consider a proportion.

[tex]\frac{0.85}{100} =\frac{x}{20}[/tex]

0.0085 = x/20

x = 0.0085 × 20

x = 0.17 liters

so, she will use 0.17 liters of liquid.

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the equation for g(x)= 32x-7

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

EXPLANATION

We want to find the equation for g(x).

First, the function is stretched vertically by a factor of 4. This means that the function changes as follows:

f(x)→4f(x)

Therefore, the function becomes:

4(8x)

=32x

Then, it is translated 7 units down. This means that the function changes as follows:

f(x)→f(x)-7

Therefore, the equation for g(x) is:

g(x)=32x-7

Hence, the equation for g(x)= 32x-7.

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Answer:

2 sides of equal length meaning the poster is a rectangle

Answer:

x = 7/30

Step-by-step explanation:

x + 2/3 = 9/10

(x + 2/3 = 9/10) * 30  ==> multiply the equation by 30.

                                     30 is the LCM (Least Common Multiple) of 3 and 10.

30x + 2*30/3 = 9*30/10  ==> Now the denominators will be removed,

                                            making the equation much easier to simplify

30x + 60/3 = 270/10  ==> simplify

30x + 20 = 27  ==> solve for x

30x = 7 ==> subtract 20 on both sides

x = 7/30  ==> simplify

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To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Then calculate the slope of the line and the y-intercept. This will give you the equation of the asymptote.

To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Asymptotes usually run parallel to the x-axis or the y-axis, so look for a straight line that is horizontal or vertical.

Once you have identified the line, calculate the slope of the line and the y-intercept. The slope of the line is the ratio of the change in the y-values to the change in the x-values.  

Once you have found the slope and the y-intercept, you can use the slope-intercept form of a line to find the equation of the asymptote: y = mx + b, where m is the slope and b is the y-intercept. This will give you the equation of the asymptote.

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yes. 904 is divisible  by 8  and quotient is 113.

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Let, there are 'n' terms less than 904 divisible by 3.

Now, the first term divisible by 3 is(a) = 3.

The second term divisible by 3 is = 6.

Therefore, the common difference between terms divisible by 3 is(d)

The last term that is less than 904 and divisible by 3 is() 903.

Now, if we compare it with arithmetic progression, then:

The required number is 301.

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Answer:

b

Step-by-step explanation:

Answer:

First Newton's Law of motion

Step-by-step explanation:

a body will remain in it's constant motion or at rest unless acted upon by an external force.

It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.

A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.

The vertex is the intersection of two straight lines. The triangle therefore has three vertices.

Hence, It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.

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To convert 2D to 3D in AutoCAD 2022, install Microsoft 3D Builder.

Transform your 2D ideas and designs into 3D models with Autodesk® software. Autodesk software not only enables you to digitally design, visualize and simulate your most complex ideas, but it also eases the transition from 2D to 3D design and engineering processes.

Steps are:

1. Install Microsoft 3D Builder.

2. Uploading an image and converting it to 3D.

3. Which conversion method to choose.

4. Level selection and smoothing.

5. Scale your image to the size you want.

6. Save the image.

7. Export the 3D model for 3D printing or other 3D applications.

8. Rendering the 3D model.

9. Share the 3D model with others.

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Answer:

The interactions of snakes and mice make up which ecological unit?

A. species

B. community

C. biome

D. population

Step-by-step explanation:

The best answer here is community. Please see the explanation below.

Please let me know if this helped!!!

Yes, these expressions are equivalent.

Expressions that are equivalent do the same thing even when they have distinct appearances.

When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We may be given equations with algebraic expressions on both sides in some situations.

The two expressions on either side of the equation must be comparable in order for the equation to hold true for all values of the variable. F

According to our question-

-2(x-1)+3(x+2)

further solving gives;

x+8

Hence, Yes, these expressions are equivalent.

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Answer:5

Step-by-step explanation: 42 divided by 4 = 10.5

10.5 divided by 2 = 5.25

round it and you get 5 pies per peck of apples

Step-by-step explanation:

division so like it would go in 3 times I think

Answer:     4.16

Step-by-step explanation: