The number 24 has a place value of two due to the presence of two full sets of tens.
What is meant by value?The value describes the value of each digit in relation to its position in the number. The place value and face value of the digit are multiplied to arrive at the answer. Value equals Place Value minus Face Value.The occurrence of two complete sets of tens gives the number 24 its place value of two. Due to 4 units that are missing from a complete set of 10, the number 24 has a place value of 4 in the ones because of this. Honesty, integrity, benevolence, kindness, courage, and self-assurance are a few examples of values. These values aid people in determining what they find desirable or unattractive.[tex]Solution:}\:&\:b < 5\:\\[/tex]
[tex]\:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:5\right)\end{bmatrix}[/tex]
b + 7 < 12
b < 5
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Research suggests that depression significantly increases the risk of developing dementia later in life. Suppose that in a study involving 949 elderly persons, it was found that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Choose the relevant population and the sample.a. The sample consists of 949 elderly people. b. The population is all elderly people. c. The sample consists of 949 younger people. d. The population is all younger people.
The sample consists of 949 elderly people and the population is all elderly people.
A sample is a random group chosen to represent the complete population. Based on the characteristics of the sample, conclusions about the population are drawn in statistical analysis. The complete collection of people or objects of interest is referred to as a population. It is the collection of all components or individuals who share a characteristic, such as all seniors or all depressed individuals. Usually, the sample size is larger than the population size.
According to research, depression considerably raises the risk of dementia in a given situation. Consider the possibility that research of 949 senior people found that 22% of those who experienced depression went on to develop dementia, compared to only 17% of those who did not. As a result, the population is made up entirely of the elderly, and the sample consists of 949 of them.
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In general F^-1(f(x))=f(f^-1(x))
In general F^-1(f(x))=f(f^-1(x)) wherein f^-1(x) is the inverse of f(x).
What is function?Function is a process or activity that fulfills a specific purpose or set of requirements. It is a building block of programming and can be used to create various types of applications. Functions allow coders to modularize their code and make it easier to debug and maintain. Functions can also be used to process data, perform calculations, and display outputs.
It is a mathematical law which states that if a function f(x) has an inverse function then the composition of the function with its inverse should be equal to the original function. This law is also known as the Involution Law or the Composition Law of Inverse Functions.
The Involution law or the Composition law of inverse functions is a fundamental law of mathematics. This law states that for any function f(x) which has an inverse function, f^-1(x), the composition of the function with its inverse should be equal to the original function. That is, F^-1(f(x))=f(f^-1(x)). This law is important as it helps to understand the relationship between the original function and its inverse. This law is useful in solving various mathematical problems and in understanding various mathematical concepts such as differentiation and integration.
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B
Jaime decides to build an accessibility ramp to help students reach the top of a set of stairs. If BI is 24 ft and
AB is 9 ft, what is the measure of the angle of elevation?
The measure of elevation refers to angle of elevation. And the angle of elevation is: 68°
What is angle of elevation?The angle of elevation is generated by the intersection of the horizontal line and the line of sight. The angle created is an angle of elevation if such sight line is upward from the horizontal line. An angle having one arm above horizontal and one arm below it is referred to as an angle of elevation. An elevation angle typically ranges from 0° to 90°.
The altitude angle—also referred to as the "solar elevation angle"—describes how high the sun looks in the sky. The observer's position on a horizontal plane and an imaginary line from the sun to the observer are used to calculate the angle.
The problem forms a right triangle, and we know its hypotenuse and the horizontal leg. Using trigonometric reason we find the angle,
cosθ = 9/24
θ = cos⁻¹ (9/24)
θ = 67.97 ≈ 68°
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The Description method of the word "SINIGANG"
Answer: In mathematics, the method of polynomial interpolation is a method for constructing a polynomial function that passes through a given set of points. The polynomial function constructed in this way is called an interpolating polynomial. It is used to approximate a function when it is known only at a few discrete points, and the goal is to find a smooth curve that fits the data as closely as possible.
The method of polynomial interpolation involves finding the polynomial of the lowest degree that passes through a given set of points. This is done by setting up a system of equations using the coordinates of the points, and then solving for the coefficients of the polynomial. Once the coefficients are known, the polynomial function can be evaluated at any point within the domain of the data points.
There are several different techniques that can be used to find the interpolating polynomial, such as the Lagrange interpolation, Newton's divided differences method and the least-squares method. The choice of method will depend on the specific problem and the desired properties of the interpolating polynomial.
In summary, the method of polynomial interpolation is a technique used to construct a polynomial function that passes through a given set of points. It is used to approximate a function when it is known only at a few discrete points and aims to find a smooth curve that fits the data as closely as possible.
Step-by-step explanation:
A certain volcano has an elevation of 13,741 feet. A nearly oceanic trench has an elevation of 21,151 feet below sea level. Find the difference in elevation between those two points.
The difference in elevation between the two points is
What is an elevation?An elevation can be defined as the height or depth of a point using the sea level as the reference point. Thus when an object is above the sea level, its elevation or altitude can be determined. But if the object is below the sea level, its depth can be determined.
The sea level is taken to be zero, while elevation is positive. but depth is taken as negative.
Therefore, the difference in elevation between the volcano and oceanic trench can be determined by taking the sea level as 0.
elevation between the two points = elevation - depth
= 13741 - (-21151)
= 13741 + 21151
= 34892
elevation between the two points = 34892 feet.
The difference in elevation between the two points is 34892 feet.
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can somebody answer this question pls
The irregular polygon has an area of 39 square units.
How to determine the area of an irregular polygon
In this question we find the case of an irregular pentagon, that is a polygon with five sides with different lengths and five different central angles. The area of any polygon can be found by summing the areas of rectangles and right triangles. The area formulas for rectangles and right triangles are shown below:
Rectangle
A = w · l
Right triangle
A = 0.5 · w · l
Where:
w - Width, in units.l - Length, in units.A - Area, in square units.Now we proceed to determine the area of the irregular polygon:
A = 0.5 · 3 · 1 + 0.5 · 5 · 3 + 5 · 6
A = 1.5 + 7.5 + 30
A = 39
The area of the irregular polygon is equal to 39 square units.
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What is a general solution of a system?
A formula that yields all answers for various parameter values is referred to as a general solution of a system of linear equations.
Any collection of linear equations is known as a system of linear equations. Any common solution to a set of linear equations is known as a solution. If there is a solution, a system is said to be consistent. A formula that yields all answers for various parameter values is referred to as a general solution of a system of linear equations.
A set of values for the variables x, y, z, etc. that simultaneously satisfy every equation in a system of equations is known as the solution. The collection of all solutions is known as the solution set for a system of equations. Finding every answer using formulas containing a certain number of parameters is the definition of system solving.
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A ribbon is 28 cm long. How long is the ribbon to the nearest inch? (1 inch = 2.54 cm)
and second question(other question not part of one up here)
A car travels 35 miles per hour. How many feet per hour is this? (Hint: 5280 feet = 1 mile)
The ribbon is 11 inches long while the car travels at 184800 feet per hour
What is an equation?An equation shows the relationship between numbers and variables in an expression.
1) A ribbon is 28 cm long
1 inch = 2.54 cm
Converting the ribbon length to inches:
28 cm = 28 cm * 1 in per 2.54 cm = 11 inches
The ribbon is 11 inches long
2) A car travels 35 miles per hour
5280 feet = 1 mile
Converting to feet per hour:
35 miles per hour = 35 miles per hour * 5280 feet per mile = 184800 feet per hour
The car travels at 184800 feet per hour
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The state of Colorado is 4 centimeters long and 2 centimeters wide on a map. A cartographer wants to use a scale factor of 3.5 to enlarge the map. What is the area of the enlarged map?
98 cm2
42 cm2
28 cm2
8 cm2
The area of the enlarged map of the state of Colorado, based on the scale factor of 3.5, is A. 98 cm².
What is a scale factor?The scale factor refers to the ratio or size by which the shape is enlarged or reduced.
When a shape is scaled down, the scale factor is used to divide the given size or dimensions of the object.
On the other hand, when a shape or object is scaled up, the scale factor multiplies the given size or dimensions to determine the new scale size.
Original dimensions:Length = 4 cm
Width = 2 cm
Area = 8 cm² (4 x 2)
Scale factor = 3.5
New dimensions:Length = 14 cm (4 x 3.5)
Width = 7 cm (2 x 3.5)
Area = 98 cm² (14 x 7)
Thus, the enlarged map's area is Option A. 98 cm².
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Answer: B: 42 cm2.
Step-by-step explanation:
What is the domain and range of x³?
Domain of function [tex]x^3[/tex] is R(Real number) and range of function is also R.
Let's know about domain: the domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive.
Range: the range of a function is the set of all possible values for the dependent variable's outcomes, or the whole set of all possible values when the domain is substituted.
[tex]x^3[/tex]is a polynomial, which means that R is its domain, and in this case, R is also its range because the sole root that [tex]x^3[/tex] possesses.
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3(3 + 6q) simplified
Answer:
9 + 18q
Step-by-step explanation:
You have to multiplied this polynomial expression in order to simplified it:
3(3 + 6q)
9 + 18q
Answer:
9+18q
Step-by-step explanation:
3[3+6q]
[3times 3]+[3times 6q]
that is how we arrive at the answer
9+18q
Simplify.
35(2v-5)5(v-4)³
30 (v-4)¹(2v-5)²
The solution is 175(2v-5)³(v-4)³³¹
Why do we simplify expressions?Learning how to simplify an expression is the most important step in understanding and mastering algebra. Simplification of expressions is a handy mathematics skill because it allows us to change complex or awkward expressions into simpler and compact formsmaths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etcYou can simplify a fraction if the numerator (top number) and denominator (bottom number) can both be divided by the same number. Six twelfths can be simplified to one half, or 1 over 2 because both numbers are divisible by 6.To learn more about simplify expressions refers to:
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"Oh
Mark was trying to open his gym locker and forgot the combination
noll I need my gym clothes! He was in a panic. He remembered a
clue that he'd left himself to remember the combination, though. The combination to
his lock is based on the prime factors of 315. (HINT: prime factors = prime numbers
that are factors of that number).
Answer:
357
Step-by-step explanation:
Since the prime factors of 315 are 3, 5, 7.
Mr. Thornton moves horses from one stable to another using a trailer. The trailer can
hold no more than four horses, and it can support no more than a total of 4500
pounds.
Mr. Thornton loads his trailer with three horses that weigh 890 pounds, 1250 pounds,
and 940 pounds. He wants to load a fourth horse in his trailer.
Using w to represent the weight of the fourth horse, write an inequality to express
how many pounds the fourth horse could weigh. Use a number line to show all the
possible solutions in this real-world situation.
Explain in detail how you determined the possible weights of the fourth horse.
The inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.
What is inequality?
Inequality is a mathematical statement that compares two values or expressions and shows the relationship between them. It is used to express that one value is either greater than, less than, greater than or equal to, or less than or equal to another value. Inequalities can be represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), ≠ (not equal to).
We know that Mr. Thornton has already loaded three horses into his trailer with the following weights: 890 pounds, 1250 pounds, and 940 pounds. To load a fourth horse, we need to know the total weight of the trailer and the horses.
Total weight of the trailer = 890 + 1250 + 940 = 3,080 pounds
The trailer can support no more than 4500 pounds, so we need to make sure that the total weight of the trailer and the fourth horse does not exceed 4500 pounds.
Therefore, we can write the inequality:
3,080 + w <= 4500
This inequality tells us that the total weight of the trailer and the fourth horse (3,080 + w) must be less than or equal to 4500 pounds.
To graph the solutions of this inequality on a number line, we can start by plotting point 4500 on the number line. Since the inequality contains the "less than or equal to" sign, we need to shade everything to the left of 4500, including 4500.
The solutions to this inequality are all possible weights of the fourth horse that would not cause the total weight of the trailer and the horses to exceed 4500 pounds. The solutions are all real numbers between 0 and 420.
It's worth mentioning that the solution set is an interval [0,420] and it includes 0, but not 420. It means that the horse can weight 0 pounds (which is not possible) but it can't weight 420 pounds since it would exceed the maximum weight that the trailer can support.
Hence, the inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.
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What is the elapsed time between 10:50 a.m. and 3:45 p.m.?
Answer: 4 Hours & 55 Minutes
Step-by-step explanation:
10:50 to 11:50 (1 hour)
11:50 to 12:50 (1 hour)
12:50 to 1:50 (1 hour)
1:50 to 2:50 (1 hour)
2:50 to 3:50 = 1 hour
1 hour = 60 minutes
3:45 to 3:50 is five minute difference
60 - 5 = 55
Therefore, it would be 4 hours and 55 minutes.
HELP!
i need a quick answer
3(n + 1) = 5.4
3n + 3 = 5.4
3n = 5.4 - 3
3n = 2.4
n = 2.4/3
n = 0.8
To the nearest tenth of a second, how long after the pebble falls will it hit the ground? s.
The pebble will hit the ground 3.5 seconds after it has fallen. Using the principles of quadratic equations, this can be resolved.
A quadratic equation is what?
A quadratic equation makes up the second-degree equation. This suggests that at least one squared phrase is present in it. One of the most well-known equations to use when trying to solve a quadratic equation is ax2 + bx + c = 0, which uses constants or numerical coefficients for the variables a, b, and c. Here, the variable "x" is unknown.The principles of quadratic equations can be used to resolve the given issue.The height of an object after it deviates from the height h0 is represented by the function h(t) = - 4.9t2 + h0.Here, h0 equals 60 meters.
The quadratic equation is as follows:
h(t) = - 4.9t² + 60
When the pebble will hit the ground, then h(t) = 0
So the quadratic equation becomes:
0 = - 4.9t² + 60
or, 4.9t² = 60
or, t² = 12.24
or, t = 3.49 sec ≈ 3.5 sec
Therefore, after 3.5 seconds the pebble will hit the ground.
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For full question- refers to following image
Answer:
3.5
Step-by-step explanation:
on edge
PLEASE HELP NEED ANSWER AND STEPS
The expected answer is AD.
Parts of a segment.A segment has a unique property of having two end points such that it can be differentiated from a ray or line. A given segment can be divided into a required number of parts, so that addition or subtraction operations can be performed on some or all parts of the segment.
In the given question, we have;
AE = AB + BC + CD + DE
AC = AB + AC
CE = CD + DE
BD = BC + CD
BE = BD + DE etc.
Therefore, the appropriate answer after showing the steps is;
AC + CD = AD
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Four friends plan to meet at the top of the Eiffel Tower. Each arrives
about the time the tower opens and starts climbing the stairs to
the top. The graphs show the number of stairs each has climbed, s,
in the m minutes since the tower opened. Tell how many solutions
each system has. What does each solution mean in this context?
a.
b.
Stairs
600
400
200
0
0
S
Jayden
Elizabeth
m
10 20
Minutes After Open
5
Stairs
600
400
200
0
S
Robert
0
Mei
m
10 20
Minutes After Open
Weidman discovered the exact answer to the equation in the form of an exponential function that nearly resembles the geometry of the upper part of the tower.
What is the solution mean of Eiffel tower ?The Eiffel Tower's summit is where four pals intend to meet. Each person arrives about the time the tower opens and begins ascending to the top. The graphs display how many steps each person has ascended in the past m minutes since the tower opened. In honor of their achievements, the Eiffel Tower has 72 names of French mathematicians, engineers, and scientists inscribed on it.
Because he was concerned about the protests against the tower, Gustave Eiffel selected this "invocation of science." The Esplanade, the first floor, the second floor, and the summit of the Eiffel Tower are its many levels. While there are 1,665 stairs in the Tower from the ground to the top, only 674 can be climbed to reach the second floor (327, then 347 steps). From the second story, you cannot ascend the steps all the way to the top since it is unsafe for visitors to enter this area.
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Yesterday the temperature at noon was 22.2°F. By midnight, it had decreased by 30.9°F. What was the temperature at midnight?
Answer:
-8.7 degrees
Step-by-step explanation:
22.2-30.9=-8.7
scott solves the equation when he checks his work he realizes that he made a mistake identify scotts error and find the correct solution
y-(-9)= -2 check: 7 (-9) = -2. 16= -2
y- (-9) + 9 = -2+9
y=7
Based on the given task content; Scott error was adding 9 to both sides of the equation and the correct solution is y = -11
How to correctly solve an equation?Scott solution:
y-(-9)= -2
check:
7 (-9) = -2.
16= -2
y- (-9) + 9 = -2+9
y=7
Correct solution:
y-(-9)= -2
y + 9 = -2
Subtract 9 from both sides
y = -2 - 9
y = -11
Check:
y-(-9)= -2
-11 - (-9) = -2
-11 + 9 = -2
-2 = -2
In conclusion, the solution to Scott's equation is y = 11
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Each month, a shopkeeper spends 5x + 17 dollars on rent and electricity. If she spends 3x -4 dollars on rent, how much does he spend on electricity? Use pencil and paper. For which value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you found the value(s).
Answer:
If 5x+17 is rent and electricity combined, and 3x-4 is just rent, then to find electricity, you need to subtract 3x-4 from 5x+17 to get just rent. (5x+17)-(3x-4) = 2x + 21. So he spends 2x +21 dollars on electricity. To find the value of x when the shopkeeper spends less than $100 on electrcity, make the equation for electricity equal 100. 100 = 2x +21, then solve for x. 79 = 2x. x = 39.5 All of the values of x would be under 39.5. x>39.5
Which of the following systems of linear inequalities has a solution 3 2?
The solution of this system of linear inequalities is (x,y) = (4,2).
The system of linear inequalities that has a solution 3 2 is given by the following equations:
x + 2y ≥ 3
2x + y ≤ 6
From the first equation, we can express y in terms of x:
y ≥ 3 - (1/2)x
Substituting this expression for y in the second equation, we get:
2x + (3 - (1/2)x) ≤ 6
Solving this equation for x, we get x = 4.
Substituting x = 4 in the expression for y, we get y = 2.
Therefore, the solution of this system of linear inequalities is (x,y) = (4,2).
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How can the product of 7 and 0.2 be determined using this number line? Enter your answers in the boxes.
Make__jumps that are each__unit long. You end at__, which is the product of 7 and 0.2.
Answer: Make 7 jumps that are each 0.2 units long. You end at 1.4, which is the product of 7 and 0.2.
I NEED HELP ASAP
PLSSS
The length of FM in the triangle is 2.8
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
FG is the congruent side of FM
FG=FM
The length of FG is 2.8
So 2.8=FM
Hence, the length of FM in the triangle is 2.8
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16. which best describes the rainfall trend between thirty and sixty degrees latitude? select rainfall decreases as latitude increases select your current choice: none of these select rainfall is approximately equal for these latitudes select rainfall increases as latitude increases
Rainfall decreases as latitude increases between thirty and sixty degrees latitude is the best description of the rainfall trend.
At thirty degrees latitude, the Intertropical Convergence Zone (ITCZ) is located, which is a band of low pressure that circles the Earth near the equator.
This zone experiences high precipitation due to the rising and falling of air masses caused by the warm equatorial waters. As we move away from the equator towards sixty degrees latitude, the ITCZ shifts northward and the land and sea temperatures decrease, resulting in less precipitation and less humidity.
This trend is known as the latitudinal rainfall gradient, which states that precipitation decreases as latitude increases. This can be observed in the subtropical regions such as the Mediterranean, the western United States, and the southern parts of Africa, among others.
Also, the trade winds blowing from east to west towards the equator, which are prevailing winds in the tropics, push the clouds and precipitation towards the equator, this is why the equatorial regions receive more rainfall than the regions located away from the equator.
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What is the average speed of the car if it covers 300 km in 5 hours?
An object's average speed is a measurement of how quickly it moves over a predetermined amount of time. The calculation is done by dividing the overall distance travelled by the overall travel time. In other words, it reveals the average amount of distance an object has travelled per unit of time.
In the case provided, we can apply the following calculation to get the average speed of the car:
average speed = total distance / total time
In this instance, a total of 300 kilometers was travelled while 5 hours were expended.
so, average speed = 300 km / 5 hours
= 60 km/h.
This indicates that the car travels at an average speed of 60 kilometers per hour. This represents the average speed of the car's five-hour journey. Although the car may have gone faster or slower at various points throughout the course of the five hours, on average, it was moving at a speed of 60 kilometers per hour.
Therefore, the average speed of the car is 60km/h .
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Shaylynn has a square poster of a puppy on her bedroom wall. The width is one-third the length of the picture. If the width is 21 inches, write and solve an equation to determine the length. 3L = 21; L = 7 inches 3 + L = 21; L = 18 inches L − 3 = 21; L = 24 inches L over 3 equals 21; L = 63 inches
pls help im ina rush lol
An equation to determine the length would be L = 63 inches.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements
Given, The width is one-third the length of the picture and the width is 21 inches.
Assuming the length of the rectangle to be 'L'.
Therefore, An equation to determine the length would be,
(1/3)×L = 21.
L = 63.
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Solve for c 89=8c+25
Answer: c is 8
Step-by-step explanation: c has to multiply 8 into 89-25 which is 64. 64/8 equals 8
Answer:
c=8
Step-by-step explanation:
i hope this helps have a good day!
FOLLOW UP #3 (STILL UNIT-6 LIKE THE PREVIOUS OTHER 2!) 8-11 questions (HELP it'a due tomorrow i'm getting a head start today!) (QUESTIONS 12-15 WILL BE POSTED SO LOOK AT MY POST TO HELP ME PLEASE :) !) (it would help out a lot<3)
The range of the given graph of the function is y ≤ 0. The correct option is A.
What are a domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The range of the function will be the y value of the function. here in the graph, the y value is varying from 0 to negative infinite value which means that the y value will ranges from 0 and less than zero.
y ≤ 0
The correct option would be A.
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