Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.
Define the unitary method.The term unitary refers to a single or unique or variable unit. As a result, the purpose of this strategy is to construct values with regard to a single unit. For instance, if a car drives 44 kilometres on two litres of fuel, the unitary technique can be used to determine how many kilometers it will travel on one.
Here,
Every subsequent line, beginning with one, contains two less characters than the one before it.
This signifies that your starting line contains three marbles. The 3 marbles are multiplied by 2 to get 3x2=6, and the result is subtracted to get 6-2=4.
This implies that you will receive 4 marbles for the following line.
As a result, in order to determine the sixth line, you must first determine the fifth line by counting the number of marbles on the fourth line because your diagram does not include a fifth line.
(4) = ten marbles.
10×2=20
20-2=18
(5) line = (18)
18×2=36
36-2=34
Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.
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Is 2x 3y linear equation?
Therefore .as a result the supplied linear equation problem's solution is shown to be a linear equation with two variables.
Define a linear equation.Any model that meets the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both y and x are distinct factors, the preceding sentence is commonly referred as a "mathematical model with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations, all of which end in zero. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is classified as linear. The equation is written as Y=mx+b, where m denotes the slope and b
Here,
Assumed: 2x + 3Y = 0.
As a result, the following equation can be used to determine whether it is linear in two variables.
As x is the sole variable, as can be seen.
Therefore, it is a two-variable linear equation.
As a result, the supplied linear equation problem's solution is shown to be a linear equation with two variables.
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Can a right triangle with sides 6 and 8 cm and 10 cm be formed give reason?
A right triangle is formed by the provided sides 6 cm, 10 cm, and 8 cm
Given that a triangle has sides measuring 6 cm, 10 cm, and 8 cm.
The question is whether a right triangle is formed by the specified sides.
The Pythagorean theorem states that the sum of the squares of the base and height is equal to the square of the hypotenuse.
Hypothesis 2 Equals Base 2 plus (Altitude)2
Make the hypotenuse 10 cm long.
Specify 6 cm for the base and 8 cm for the perpendicular.
(Hypotenuse)2 LHS (Hypotenuse)
RHS: (Base)2 + (Altitude)2 (Base)2 + (Altitude)2 = (6)2 + 2 = (10)2 = 100 (8)
LHS = RHS: 2 = 36 + 64 = 100
The sides provided meet the requirements for a right triangle.
As a result, a right triangle is formed by the provided sides.
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If the simple interest on a sum of a money invested at 3. 5% per annum for 44 years is birr 420, find the principal
As per the given simple interest, the principal amount is $165.35.
The term simple interest in math is defined as the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.
Here we have given that If the simple interest on a sum of a money invested at 3. 5% per annum for 44 years is birr 420.
Therefore, through the given question we have identified the value of
interest rate = 3.5%
time period = 44
sum amount = 420.
Then the principal amount is calculated by using the formula of simple interest as,
P = A / (1 + rt)
Here first we have to convert R percent to r a decimal, then we get
r = R/100 = 3.5%/100 = 0.035 per year.
Now, we have to apply the values on the equation and then we have to solve our equation, then we get
P = 420 / ( 1 + (0.035 × 44)) = 165.35433070866
P = $165.35
Therefore, the principal investment required to get a total amount, principal plus interest, of $420.00 from simple interest at a rate of 3.5% per year for 44 years is $165.35.
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Does 5 12 13 make a triangle?
Yes, the sides with 5,12,13 make a triangle.
The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude is called Pythagorean Triples.
Pythagorean triples describe the three integer side lengths of a right triangle.
(Hypotenuse)² = (Base)² + (Altitude)²
c²=a²+b²
which contain three positive integers a, b, and c.
the original Pythagorean triplets, two of the numbers are prime, but one is even. If all three numbers are multiplied by a factor, the triplet is called a relatively prime.
The most well-known examples are (3,4,5) and (5,12,13)
consider c=13 a=12, b=5 substitute in above formula:
13²=12²+5²
⇒169=144+25
⇒169=169
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Decrease 520 by 60%.
Answer:
208
Step-by-step explanation:
60 percent of 520 is 312
520 subtract 312 is 208
Answer:
208
Step-by-step explanation:
(520)-60% of 520
(520)-3×104
520-312
=208
Hope it helps you
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You have $15 in savings. Your friend has $25 in savings. You both start saving $5 per week. Write a system of linear equations that represents this situation. Will you ever have the same amount of savings as your friend? Explain.
Let r(x) = x2. If r(x) = 4, find x.
if r(x) = x² and r(x) = 4, then the value of x = ± 2
What is equivalent of value?Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.
For example y = x+5 and the same y = 2x+7
then we can say that x+5 Is also equal to 2x+7
2x+7 = x+5
then x = -2
similarly r(x) = x²
thesame r(x) = 4
this means that x² = 4
solving for x
we find the square root of both sides
√x² = √4
x= ±2
It is ± because square root value as two possible values of either both positive or both negative.
Therefore the value of x is ±2
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Why is y 4 a horizontal line?
The graph of the equation y=4 is a horizontal line. It is function since each x is mapped to one y or each element of the domain is mapped to only one element of the range. It also passes the vertical line test.
Now, According to the question:
Let's know:
What is Horizontal lines?
If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.
The equation is y = 4.
The graph of the equation y=4 is a horizontal line. It is function since each x is mapped to one y or each element of the domain is mapped to only one element of the range. It also passes the vertical line test.
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WHERE DO YOU PLACE THE PARENTHESES TO EQUAL TO 40
4+2•3^2
HELPPPP!! IT HAS TO EQUAL TO 40!!!!
If Marvin has 47 pencils and Mark has a total number of pencils is 4 tens
and 3 ones, who would have a greater total? Draw a math drawing to explain
how you know.
Number of pens x=10.
Number of pencils y=30.
How many pencils are there?The Five Principles are: freedom, efficiency, mutuality, responsibility, and quality. Victoria that she always incorporates The Five Principles into her conversations with other businesses, government officials, and other partners and leaders. The writing core is tougher and leaves a lighter trace on the paper as the number increases.
Let number of pens =x
And number of pencils =y
⇒ x+y=40
⇒(5+y)+(x−5)=4x
⇒3x=y
Substituting in above equations ;
⇒x+3x=40
⇒x=10
⇒y=30
∴number of pens =x=10
⇒number of pencils =y=30
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x + y = 3
Which of the following equations is equivalent to the given equation?
3x + 2y = 18
2x + 3y = 18
3x + 2y = 3
The equation equivalent to the equation x + y = 3 is 6x + 6y = 18.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x + y = 3
Multiply 6 on both sides.
6x + 6y = 18
Thus,
The equation that is equivalent is 6x + 6y = 18.
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Find the commission on a 1,250 sale with a commission rate of 5%.
Please help only if you know it and please explain the answer
The commission on the sale would be $62.5
To find the commission on a sale, you can use the following formula:
Commission = Sale Amount x Commission Rate
Sale Amount: the total value of the sale
Commission Rate: the percentage or decimal value of the commission rate (e.g. 5% = 0.05)
The commission on a sale can be calculated by multiplying the total sale amount by the commission rate.
In this case, the commission on a 1,250 sale with a commission rate of 5% would be:
= 1,250 x 0.05
= 62.5
So the commission on the sale would be $62.5
It's also worth noting that commission rate is given as a decimal and not a percentage. 5% is 0.05 as decimal.
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How do you find the coordinates of a point example?
To find the coordinates of a point in a coordinate system, do the inverse. Start at the point and trace a vertical line up or down to the x-axis. There you have your x-coordinate. Then repeat the process, but this time follow a horizontal line to determine the y-coordinate.
A point is identified by its ordered pair of (x, y). The first number represents the x-coordinate, while the second represents the y-coordinate.
To graph a point, you draw a dot at the coordinates of the ordered pair. It's usually a good idea to begin at the beginning.
An ordered pair of integers, such as an x-coordinate, which is a number on the x-axis, and a y-coordinate, which is a number on the y-axis, can be used to identify each point. Parentheses are used to indicate ordered pairings (x-coordinate, y-coordinate). The starting point is at (0,0).
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If (3, 7) and (7, −3) are the endpoints of the segment, find the equation of the perpendicular bisector of .
Answer:
[tex]y = \frac{2}{5}x[/tex]
Step-by-step explanation:
Concepts⭐Perpendicular bisector of a segment
another line or segment that splits the segment in half and forms 90 degree anglesthe perpendicular bisector cuts through the midpoint of the segmentthe perpendicular has a slope that is the opposite reciprocal of the segment⭐Midpoint formula
[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex][tex](x_1,y_1)[/tex] is one coordinate on the line[tex](x_2,y_2)[/tex] is another coordinate on the line⭐Point-slope form
[tex]y-y_1 = m(x-x_1)[/tex]m is the slope[tex](x_1,y_1)[/tex] is a coordinate on the linea way to write the equation of a line⭐Slope
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex][tex](x_1,y_1)[/tex] is a coordinate[tex](x_2, y_2)[/tex] is another coordinate⭐Slope-intercept form
[tex]y = mx + b[/tex]m is the slopeb is the y-intercept (the y-value for when x=0)StrategyFind the midpoint of the given segmentFind the slope of the given segmentWrite the equation of the bisector equation in point-slope formSubstitute the opposite-reciprocal of the given segment's slope into the bisector equationSubstitute the midpoint of the given segment into the bisector equationExpand & simplify the bisector equation to convert it into slope-intercept formWorking1. Find the midpoint of the given segment
[tex]midpoint = (\frac{(x_1+x+2)}{2}, \frac{(y_1+y_2)}{2})[/tex]
[tex](x_1,y_1)[/tex] = (3,7)
[tex](x_2,y_2)[/tex] = (7,-3)
∴ midpoint [tex](\frac{3+7}{2}, \frac{7+(-3)}{2})\\= (\frac{10}{2}, \frac{4}{2})\\= (5,2)[/tex]
2. Find the slope of the given segment
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex](x_1,y_1)[/tex] = (3,7)
[tex](x_2,y_2)[/tex] = (7,-3)
∴ slope [tex]m = \frac{-3-7}{7-3}\\= \frac{-10}{4}\\= \frac{-5}{2}[/tex]
3. Write the equation of the bisector equation in point-slope form
[tex]y - y_1 = m(x-x_1)[/tex]
4. Substitute the opposite-reciprocal of the given segment's slope into the bisector equation
The slope of the given segment is -5/2.
Therefore, the opposite-reciprocal of the given segment's slope is 2/5.
[tex]y - y_1 = \frac{2}{5}(x-x_1)[/tex]
5. Substitute the midpoint of the given segment into the bisector equation
midpoint = (5, 2)
[tex]y -2 = \frac{2}{5}(x-5)[/tex]
6. Expand & simplify the bisector equation to convert it into slope-intercept form
We need to convert [tex]y -2 = \frac{2}{5}(x-5)[/tex] into [tex]y = mx + b[/tex] form.
[tex]y -2 = \frac{2}{5}x - \frac{2 * -5}{5}[/tex] . . . . . . . distribute the 2/5 into the parentheses
[tex]y -2 = \frac{2}{5}x - 2[/tex] . . . . . . . compute
[tex]y = \frac{2}{5}x[/tex] . . . . . . add 2 to the LHS and RHS to isolate y
⭐if this response helped you, please mark it the "brainliest"!⭐
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases. What does the 10 represent?
A)
The interest the savings account earned for the first year.
B)
The annual interest rate of the savings account.
C)
The number of years the savings account has earned interest.
D)
The starting balance of the savings account.
The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.
Therefore the answer is D) The starting balance of the savings account.
The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:
A = P(1 + r)^(t)
Where:
A is the final amount (principal + interest)
P is the principal (initial) amount
r is the annual interest rate (expressed as a decimal)
t is the number of years the money is invested or borrowed
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.
So 10 represents the principal (initial) amount
0.014 represents the annual interest rate (expressed as a decimal)
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What is number 3 on the plot diagram?
Answer:
Kumain ka Ng pansit para ka Maka sagot
Step-by-step explanation:
follow pleas helpme
What is unsolvable problem with an example?
Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.
Define the algorithm.A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.
Here,
The halting problem is one of the most popular unsolved issues. It poses the following inquiry:
Does M halt when it is given the input w for an arbitrary Turing machine over the parameters alphabet = a, b and an arbitrary string w over
The halting problem can be demonstrated to be indecidable and so unsolvable.
Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.
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What quadrant is 3 and 4 in a graph?
Both the x- and y-axes have negative values in this quadrant.
The x-axis in the fourth quadrant has positive values, whereas the y-axis has negative numbers.
A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from 1st through 4th and marked by Roman numerals: I (+; +), II (; +), III (; ), and IV (+; ).
The intersection of the x-axis (the horizontal number line) and the y-axis divides the coordinate plane into four equal pieces in the cartesian system (the vertical number line). These four regions are known as quadrants because they each account for one-quarter of the coordinate plane.
The third quadrant, known as Quadrant III, is located in the bottom left quadrant.
The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant.
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Improper fraction for 4 1/5
For what value of a the system of equations Ax Y 2 and 6x 2y 3 has a unique solution?
A = 1, y = -2/3, The value of a for which the system of equations has a unique solution is a = -3.
1. Set the first equation equal to 0:
2x + ay = 2
2. Subtract 2x from both sides of the equation to get:
ay = -2
3. Divide both sides of the equation by a to get:
y = -2/a
4. Substitute this value of y into the second equation to get:
6x + 3(-2/a) = 3
5. Multiply both sides of the equation by a and simplify to get:
6ax - 6 = 3a
6. Add 6 to both sides of the equation to get:
6ax = 3a + 6
7. Divide both sides of the equation by 6 to get:
x = (3a + 6)/6
8. The value of a for which the system of equations has a unique solution is a = -3.
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What is the x-intercept of the graph of y x2 4x 4?
The x-intercept of the graph of y = x² - 4x + 4 is x = 2.
By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.
The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.
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What is the type of polynomial 11 − 4x2 − x3?
The equation 11 = −4x²−x³ is a cubic polynomial.
Polynomial:
A polynomial is an algebraic expression containing indefinites and constants. Polynomials can be thought of as dialects of mathematics. They are used to represent numbers in almost all areas of mathematics, and are used in specific areas of mathematics such as mathematics Critical analysis. For example, 2x + 9 and x2 + 3x + 11 are polynomials.
Cubic Polynomial:
The cubic polynomial is the polynomial with the largest exponent of the variables. H. Order of variables as 3. Based on the degree, polynomials are divided into four types: zero polynomials, linear polynomials, second order polynomials, and third order polynomials. The general form of a cubic polynomial is p(x): ax³ + bx² + cx + d, where a ≠ 0. where a, b, and c are coefficients and d is a constant, all of which are real numbers. An equation involving a cubic polynomial is called a cubic equation. Examples of cubic polynomials are p(x): x³ − 5x² + 15x − 6 and
r(z): πz³ + (√2)10.
Now,
A cubic polynomial is a polynomial of degree 3. A cubic polynomial has the form f(x)=a₃x³ +a₂x² +a₁ x+ a₀
Here, the polynomial 11 = −4x² −x³
or x³+4x² +11 = 0 is a polynomial of degree 3 with coefficients a₁ = 0,
a₂ =4, a₃ =1 and constant a₀= 11.
Hence, 11 = −4x² −x³ is a cubic polynomial.
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Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
The required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
The figure of the triangle is not given the quesiton, An figure is attached after the solution regarding the solution,
From diagram,
Consider the triangle RST and triangle VUT
ST/UT = 2
∠S = ∠U both are of 90°
RS/VU = 2.
So, triangles are similar by the SAS similarity theorem.
Thus, the required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.
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Let u = PQ be the directed line segment from P(0,0) to Q(9,12), and let c be a scalar such that c < 0. Which statement best describes cu?
A) the terminal point of vector cu lies in quadrant II
B) the terminal point of vector cu lies in quadrant III
C) the terminal point of vector cu lies in quadrant I
D) the terminal point of vector cu lies in quadrant IV
The terminal point of vector cu lies in quadrant III.
Option B is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
p = (0, 0) and Q = (9, 12)
u = PQ = (9 - 0, 12 - 0) = (9 , 12)
Now,
cu = (9c, 12c)
where c < 0
If c = -1
cu = (-9, -12)
The coordinates (-x, -y) lie in quadrant III.
(-9, -12) is in quadrant III.
Thus,
Vector cu lies in quadrant III.
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Sue has 18 sweets
Tony also has 18 sweets
Sue gives Tony × sweets
Sue then eats 5 of her sweets
Tony then eats half of his sweets
Write expressions for the amount of sweets Tony and Sue now have
The expressions for the number of sweets that Tony and Sue now have are:
Given:
Sue has 18 sweets
Sue = 18
Tony also has 18 sweets, that is:
Toney = 18
Sue gives Tony × sweets; that is
Sue = 18 - x; and
Tony = 18 + x
Sue then eats 5 of her sweets, Tony then eats half of his ⇒ Sweets:
that is ⇒
Sue = 18 - x - 5
Tony = (18 + x) / 2
Thus, simplifying the above, we have:
Sue = 13 - x
Tony = (18 + x) / 2
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Please help with this question I’m confused on it
PLEASE HELPP
A. Triangle ABC is similar to triangle DEF.
B. The value of x is 21.
What are similar triangles?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are items that feature more than two figures that are the same shape but different sizes.
Here, we have
Given a triangle and we have to show both triangles are similar.
A. ABC will be similar to DEF if two sides along with their corresponding angle of ABC is equal to two sides and their corresponding angle of DEF. ABC will be similar to DEF if the corresponding ratios of all sides of both triangles are equal to each other.
Hence, triangle ABC is similar to triangle DEF.
B. By the property of similar triangles,
= AB/DE = AC/DF
= 14/x = 10/15
x = 21.
Hence, the value of x is 21.
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The the mesure of……..
The measure of angle B is 82°
What is angle ?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
∠A = 180° - 143°
= 37°
∠A + ∠B + ∠C = 180°
37° + ∠B + 61° = 180
∠B = 180 - 61 - 37
= 82°
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The point P(2k, k) is equidistant from A(-2, 4) and B (7,-5). Find the value of k.
If point P(2k, k) is equidistant from A(-2, 4) and B (7,-5), the numerical value of k is 3.
What is the numerical value of k?The distance formula used in finding the distance between two points is expressed as;
d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
The distance between P(2k, k) and A(-2, 4) is:
d = √((2k - (-2))² + (k - 4)²)
d = √((2k +2)² + (k - 4)²)
The distance between P(2k, k) and B(7, -5) is:
d = √((2k - 7)² + (k - (-5))²)
d = √((2k - 7)² + (k + 5)² )
Since the distances are equal, we can set the two equations for d equal to each other and solve for k.
√((2k +2)² + (k - 4)²) = √((2k - 7)² + (k + 5)² )
Square both sides
(2k +2)² + (k - 4)² = (2k - 7)² + (k + 5)²
(2k +2)² + (k - 4)² = 5k² - 18k + 74
5k² + 20 = 5k² - 18k + 74
Collect like terms
5k² - 5k² + 18k = 74 - 20
18k = 74 - 20
18k = 54
k = 54/18
k = 3
Therefore, the value of k is 3.
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Two bags contain marbles. Bag A contains 110 marbles, and Bag B contains 160 marbles. What percent fewer marbles does Bag A has than Bag B?
Bag A as required by the task content has 31.25 percent fewer marbles than Bag B.
How much as a percent is the number of fewer marbles in Bag A as that in bag B?It follows from the task content that the percent fewer marbles which Bag A has relative to Bag B is to be determined.
As given in the task content; Bag A contains 110 marbles, while Bag B contains 160 marbles.
On this note, the difference between the number of marbles is; 160 - 110 = 50 marbles.
Hence, the percent of fewer marbles in Bag A relative to Bag B is;
= ( 50 / 160 ) × 100%
= 31.25%.
Therefore, Bag A has 31.25% fewer marbles than Bag B.
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How do you find the domain for the composition of two functions FG?
All x-values that are within the scope of both f and g make up the domain of the (f g)(x). In this instance, f has a domain of {"x | x ≥ 0"} and g has a domain of "all real numbers"; as a result, (f - g)(x) has a domain of {"x | x ≥ 0"} as these values of x fall inside both f and g's domains.
What is domain?A function's domain is the collection of all potential inputs. All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's whole range, from the bottom to the top, is the range.
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