Jake starts the race and increases his speed. After 10 minutes, his bike tire goes flat, and he is unable
to continue in the race.
PLEASE HELP. I have no idea what to do
Answer:
What is it i can probably help
Step-by-step explanation:
\(since \to : x \sqrt[y]{ {n}^{z} } = x( {n}^{ \frac{z}{y} } ) \\ then \: lets \: solve \: both \: values \: separately \to : \\ \underline{ \boxed{solution \: to \: \boxed{a}}} \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} (40 \sqrt[6]{n} ) \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} \times 40 \sqrt[6]{n} \\ 120 \sqrt[3]{ {n}^{a} } = 120 (\sqrt{n} \times \sqrt[6]{n} ) \\ \sqrt[3]{ {n}^{a} } = (\sqrt{n} \times \sqrt[6]{n} ) \\ {n}^{ \frac{a}{3} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{6} } \\ \frac{a}{3} = \frac{1}{2} + \frac{1}{6} \\ \frac{a}{3} = \frac{4}{6} \\ 6a = 12 \\ a = \frac{12}{6} = 2 \\ \underline{ \boxed{a = 2 \:}} \\ \\ \: \underline{ \boxed{solution \: to \: \boxed{b}}} \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} (9 \sqrt[4]{n} ) \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} \times 9 \sqrt[4]{n} \\ 27 \sqrt[4]{ {n}^{b} } = 27 (\sqrt{n} \times \sqrt[4]{n} ) \\ \sqrt[4]{ {n}^{b} } = (\sqrt{n} \times \sqrt[4]{n} ) \\ {n}^{ \frac{b}{4} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{4} } \\ \frac{b}{4} = \frac{1}{2} + \frac{1}{4} \\ \frac{b}{4} = \frac{3}{4} \\ 4b = 12 \\ b = \frac{12}{4} = 3 \\ \underline{ \boxed{b = 3 \:}} \\ hence \to : \\ \underline{ \underline{\boxed{a = 2 \:}} \underline{ \boxed{b = 3 \:}}}\)
(t) dr. ringo star's biology class had a standard deviation on the final exam equal to 9.2. riff raff obtained a raw score on the final exam equal to 85 which corresponds to a z-score of 1.5 on the final exam. what was the mean of dr. ringo star's biology final exam (round to two decimal places)?
71.2 was the mean of dr. ringo star's biology final exam when z-score of 1.5 .
What does "z-score" mean?
The Z-score provides information on how far a given value deviates from the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations above or below the mean a specific data point falls. In essence, standard deviation represents the degree of variability present in a given data collection.How many standard deviations a given measurement deviates from the mean is shown by its Z-score (also known as standard score). In other words, your data are simply rescaled or standardized. Each observation in a distribution is assigned a Z-score to indicate its exact location.X - μ/σ = Z
85 - μ/9.2 = 1.5
μ = 85 - ( 1.5 * 9.2 )
μ = 71.2
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qual e a resposta , e como faço?
Answer:
EU ACHO QUE E A
E A IGUALDADE E FALSA POIS UM DOS MEMBROS E POSITIVO E O OUTRO NEGATIVO.
Step-by-step explanation:
POR FAVOR ME MARQUE BRAINLIEST
How to solve right triangles with no sides or angles given.
1. Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded
quarterly. Express his ending balance after one year algebraically
If Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.
Compound InterestGiven:
Rate= 2.11%
Now let express Mr Mady ending balance after one year algebraically by using this formula
A=P(1+r/n)^n
Where:
A = Future value
P=Principal
r= Rate
N=Number of period
Let plug in the formula
A = P(1 + 0.0411/4)^4
Therefore If Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.
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solve the following equation: 4(n+2)-2n=0
Answer:
Step-by-step explanation:4n+8-2n=0. 2n=-8. n=-4.
HOPE THIS HELPSSSS!!!!!!!!!!!!!+
Answer:
-4
Step-by-step explanation:
4n+8-2n=0 2n=-8.n=-4
Please help :)
Chloe is an acrobat in a local circus. Her job is to move across a tightrope from point A to point B while blindfolded! She can only move using the distances that you tell her to move in your instructions. Chloe may go past the ladder. However, if she does, make sure she turns around and goes back toward the ladder.
Use the link: Link
Your Task: Work with your partner to find different combinations of the lengths given in parts (a) through (d) below that will allow Chloe to move from point A and end at point B (the end of the tightrope). You may use each length as many times as you like. .
1. For each crossing, look for at least three different ways to get the acrobat across. *Draw a diagram on your paper that shows the solution with the least amount of steps. *For the neither 2 write a number sentence/equation.
Explanation:
We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.
(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)
(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)
(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)
(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)
Hey guys I need help with this right quick...got some time to help????
Your teacher wants to use a point system to select the winning pet. She wants each pet to get a certain number of points for each 1st choice vote and a certain number of points for each 2nd choice vote.
Your teacher decides to use these rules for her point system:
Points need to be positive whole numbers
Points for a 1st choice vote have to be greater than or equal to the points for a 2nd choice vote.
Determine point values for the 1st and 2nd choice that would result in the turtle winning. Use words and numbers to explain how this point system results in the turtle winning
In the above case, the possible point system will be:
1st choice vote: 4 points
2nd choice vote: 2 points
What is the point system?In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:
The point got to be positive entire numbersThe point for a 1st choice vote need to be more noteworthy than or rise to to the focuses for a 2nd choice voteLets say:
1st choice vote: 4 points
2nd choice vote: 2 points
Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.
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one mile is equal to 5280 feet
Length of the golf club where Bruce plays = 7,040 yards
Solution:
1. Let's convert 7,040 yards to miles:
1 yard = 0.000568182 mile
Now, we can use Direct Rule of Three, as follows:
Yards Miles
1 0.000568182
7,040 x
2. Solve for x:
1 * x = 0.000568182 * 7,040
x = 4 miles
the mean number of pets owned by the population of students at a large high school is 3.2 pets per student with a standard deviation of 1.7 pets. a random sample of 16 students will be selected and the mean number of pets for the sample will be calculated.
1.3.2 Quiz: Income and Career
Question 2 of 10
Which of these is a pro of being a wage earner?
A. You usually do not get to choose which projects you work on.
B. Your wages, hours, and level of responsibility are up to someone
else.
C. You are usually not in charge.
D. Your type of employment is denendent on things you can control
??
(D) "Your type of employment is dependent on things you can control" is a pro of being a wage earner.
This is a pro of being a wage earner because, although you may not have complete control over your job responsibilities, you do have control over your skills and qualifications that can help you secure and maintain employment.
Additionally, being a wage earner often provides stability and benefits such as health insurance and retirement plans.
However, it is important to note that there are also potential cons to being a wage earner such as limited upward mobility and the potential for layoffs or job insecurity.
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use the intermediate value theorem to show that the polynomial has a real zero between the given integers? f(x)= x^3-x-4; between 1 and 7.
We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.
To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.
Let's evaluate f(1) and f(7) to determine their signs:
f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4
f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332
From the calculations, we can see that f(1) = -4 and f(7) = 332.
Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.
According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.
Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.
Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.
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Today, the waves are crashing onto the beach every 6 seconds. A person arrives at the shoreline at a randomly selected time. Round all answers to two decimal places. A. The mean of the distribution is B. The standard deviation is C. The probability that the next wave will crash at least 1 second after the person arrives at the shoreline is D. Suppose that the person has already been standing at the shoreline for 3 seconds without a wave crashing in. Find the probability that the person's total waiting time will be between 4 and 5 seconds. E. 15% of the time a person will wait at least how long before the wave crashes in? seconds.
The probability of the person's waiting time being between 4 and 5 seconds, given that they have already waited for 3 seconds, is 0.20. Additionally, 15% of the time a person will wait at least 10.80 seconds before a wave crashes.
To determine the mean of the distribution, we use the given information that waves arrive every 6 seconds. This means that on average, a person can expect to wait for 6 seconds before a wave crashes.
The standard deviation is calculated as 0.00 seconds because the waves arrive with a fixed interval of 6 seconds, resulting in no variability in the waiting times.
To find the probability that the next wave will crash at least 1 second after the person arrives, we calculate the proportion of the 6-second interval after the person's arrival time. In this case, it is 1 second divided by 6 seconds, resulting in a probability of 0.17.
Given that the person has already been waiting for 3 seconds without a wave crashing in, we want to find the probability that their total waiting time will be between 4 and 5 seconds. We subtract the probability of waiting less than 4 seconds (3 seconds) from the probability of waiting less than 5 seconds (4 seconds) to obtain the desired probability of 0.20.
To determine the waiting time where a person will wait at least 15% of the time before a wave crashes, we find the corresponding value on the cumulative distribution function (CDF). By identifying the value on the CDF where the probability is 0.15, we can conclude that a person will wait at least 10.80 seconds before a wave crashes 15% of the time.
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Can Someone Please Answer Question #23 for me make sure u show work. Thank you
Answer: x= 16
Step-by-step explanation:
2x+ 36 + 7x = 180
9x= 144
x= 16
Evaluate the following expression. 5^-1/5^0
Answer: 0.2
Step-by-step explanation:
Ratio of AC:CB???
.———.—————.
Answer:
2:3 I think
Step-by-step explanation:
15x+23+6-8x ? what is the answer
Answer:
7x+29
Step-by-step explanation:
Solve the system of equations
ax+y=2a
x+ay=1+a^2
Answer:
x = 1; y = a
Step-by-step explanation:
ax+y=2a
x+ay=1+a^2
-a²x-ay=-2a²
x+ay=1+a^2
(1 - a²)x = 1 - a²
x = (1 - a²)/(1 - a²)
x = 1
a + y = 2a
1 + ay = 1 + a²
a = y
x = 1; y = a
Hey what's the answer ?
\(( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )\)
Answer: \(y^4\) + \(\frac{-73}{35}y^2\)- \(2\)
Step-by-step explanation:
Use FOIL:
\(y^4\) + \(\frac{-14}{5}y^2\) + \(\frac{5}{7}y^2\) + \(\frac{-70}{35}\)
Make \(\frac{-14}{5}y^2\) and \(\frac{5}{7}y^2\) have the same numerator:
\(\frac{-14*7}{5*7}y^2 =\frac{-98}{35}y^2\)
\(\frac{5*5}{7*5} y^2=\frac{25}{35} y^2\)
Then add like terms and simplify:
\(y^4\) + \(\frac{-98}{35}y^2\) + \(\frac{25}{35} y^2\) + \(\frac{-70}{35}\)
\(y^4\) + \(\frac{-73}{35}y^2\)- \(2\)
\(\implies {\blue {\boxed {\boxed {\purple {\sf { {y}^{4} - \frac{73 }{ 35} y² - 2}}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)
\( = ( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )\\\)
\( = {y}^{2} ( {y}^{2} - \frac{14}{5} ) + \frac{5}{7} ( {y}^{2} - \frac{14}{5} )\\\)
\(= {y}^{2 + 2} - ( \frac{14}{5} ) {y}^{2} + ( \frac{5}{7} ) {y}^{2} - \frac{5 \times 14}{7 \times 5}\\ \)
\(= {y}^{4} - \frac{14 \: {y}^{2} }{5} + \frac{5 \: {y}^{2} }{7} - 2\\\)
\( = {y}^{4} - \frac{14 \: {y}^{2} \times 7}{5 \times 7} + \frac{5 \: {y}^{2} \times 5}{7 \times 5} - 2\\\)
\( = {y}^{4} - \frac{ 98 \: {y}^{2} + 25 \: {y}^{2} }{35} - 2\\ \)
\( = {y}^{4} - \frac{73 }{ 35} y² - 2\\\)
\(\boxed{ OR }\)By using the identity \((x + a)(x - b) = {x}^{2} + (a - b)x - ab\),
where \(x=y²\), \(a=\frac{5}{7} \) and \(b= \frac{14}{5}\)
\( = ( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )\\\)
\( = ({ {y}^{2} })^{2} + ( \frac{5}{7} - \frac{14}{5} ) {y}^{2} - \frac{5}{7} \times \frac{14}{5}\\ \)
\( = {y}^{4} + (\frac{5 \times 5}{7 \times 5} - \frac{14 \times 7}{5 \times 7} ) {y}^{2} - 2\\\)
\( = {y}^{4} + ( \frac{25 - 98}{35} ) {y}^{2} - 2\\\)
\( = {y}^{4} - \frac{73}{35} {y}^{2} - 2\\ \)
\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}\)
The angle of elevation from point A to the top of a hill is 49°. If point A is 400 feet from the base of the hill, how high is the hill? Round to the nearest tenth.
1. 460.1 ft
2. 301.9 ft
3. 262.4 ft
4. 459.3 ft
The height of the hill for the given angle of elevation through which the given condition is satisfied is 460.1 ft
What about angle of elevation?
The angle of elevation is the angle between the horizontal plane and the line of sight or the direction of the observer's line of sight above the horizontal plane. It is measured upwards from the horizontal plane to the object being viewed. The angle of elevation is typically used in trigonometry and geometry to calculate the height, distance, or length of an object or location.
According to the given information:
Given, The given angle of elevation from point A to the top of a hill is \(49^{0}\).
As, we know tan (x) = \(\frac{perpendicular}{base}\)
tan \(49^{0}\) = \(\frac{unknown}{400}\)
1.15 x 400 = unknown
So, the unknown = 460.1 ft
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Pls help me out with this!!!
The correct formula for the expression is,
⇒ f (x) = - 6 cos (π/4.5x - 2π) + 2
Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a function:
f(x) = a cos(bx + c) + d
Here a is the amplitude:
Since, The value of d is the average of maximum and minimum.
Hence, d = (9 - 5)/2 = 4/2 = 2
And, The value of 'a' is the difference between the maximum value and d.
Hence, a = -4 -(2) = - 6
Here, the half-period is,
= π - 3π/4) = π/4
= b = 2π/9 = π/4.5
The value of c is the value makes the cosine zero at x= 9
⇒ (π/4.5)(9) +c = 0
⇒ c = -2π
Hence, Function is,
f (x) = - 6 cos (π/4.5x - 2π) + 2
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Answer:
The correct answer would be:
f (x) = - 6 cos (π/4.5x - 2π) + 2
Determine f(-2) for
(image of problem below)
A: -1
B: -6
C: 8
D: 9
The correct answer is a and b
What is the Argument of a function?A function argument is a value supplied to acquire the function's output. Another name for it is an independent variable.The definition of a mathematical function specifies one or more independent variables as arguments, each of which may also include parameters.In contrast to the parameters, the independent variables are indicated in the list of arguments the function accepts.Calculation
Given f(x)= -2
put x= -2 in the equation \(x^{3}\), where x<-3⇒\(x^{3}\)
= -2 * -2 * -2
= 4 *(-2)
= -8
put x= -2 in the equation \(2x^{2} -9\), where -3 ≤ x <4⇒\(2x^{2} -9\)
= \(2(-2)^{2} -9\)
= 2 * 4 -9
= -1
put x = -2 in the equation 5x+4, where x ≥ 4⇒5x+4
= 5*(-2) + 4
= -10 +4
= -6
From the above evaluation, only options a and b are matching
Hence, options a and b are correct.
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The correct answer is a and b
What is the Argument of a function?A function argument is a value supplied to acquire the function's output.Another name for it is an independent variable.The definition of a mathematical function specifies one or more independent variables as arguments, each of which may also include parameters.In contrast to the parameters, the independent variables are indicated in the list of arguments the function accepts.Given f(x)= -2
put x= -2 in the equation , where x<-3
⇒ \(x^{3}\)
= -2 * -2 * -2
= 4 *(-2)
= -8
put x= -2 in the equation , where -3 ≤ x <4
⇒\(2x^{2} -9\)
= \(2(-2^{2} )\)-9
= 2 * 4 -9
= -1
put x = -2 in the equation 5x+4, where x ≥ 4
⇒5x+4
= 5*(-2) + 4
= -10 +4
= -6
From the above evaluation, only options a and b are matching
Hence, options a and b are correct.
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Is a conditional equation , an identity or a contradiction ?
A conditional equation is neither an identity nor a contradiction. It is a statement that is only true under certain conditions.
A conditional equation is an equation that expresses a condition. It has two parts: a hypothesis (or antecedent) and a conclusion (or consequent). The hypothesis states that a certain condition must be met in order for the conclusion to be true. For example, the equation "if x = 4, then x + 1 = 5" is a conditional equation. If the condition (x = 4) is true, then the conclusion (x + 1 = 5) is also true. However, if the condition is false, then the conclusion is also false. Therefore, a conditional equation is neither an identity nor a contradiction, but rather a statement that is only true under certain conditions.
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find the area inside the loop of the limacon given by r=7−14sinθ
The area inside the loop of the limacon given by r=7−14sinθ is 49π square units.
How to find area ?To find the area inside the loop of the limacon given by the polar equation r=7−14sinθ, we can use the following steps:
Find the points where the curve intersects the x-axis by setting r=0:
0 = 7 - 14sinθ
sinθ = 1/2
θ = π/6 or 11π/6
Find the limits of integration for θ by noting that the loop starts at θ=0 and ends at θ=2π:
θ limits: 0 ≤ θ ≤ 2π
Use the formula for the area of a polar region:
A = 1/2 ∫[a,b] r(θ)² dθ
where r(θ) is the polar equation and a and b are the limits of integration.
Rewrite the polar equation in terms of sinθ and cosθ:
r(θ) = 7 - 14sinθ
r(θ)² = (7 - 14sinθ)² = 49 - 196sinθ + 196sin²(θ)
= 196cos²(θ) - 196cos(θ) + 49
Substitute the limits of integration and evaluate the integral:
A = 1/2 ∫[0,2π] (196cos²(θ) - 196cos(θ) + 49) dθ
= 1/2 (98π)
Simplify the result to get the final answer:
A = 49π
Therefore, the area inside the loop of the limacon given by r=7−14sinθ is 49π square units.
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What is 9.55 as fraction?
rationalise the denominator
\( 1\div 7 + 3 \sqrt{2} \)
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.
To rationalize the denominator 1/7 + 3√2,
A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.
Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.
Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).
Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).
Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!
The final answer is (1 + 21√2)/(21√2).
The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.
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g (r)=-5r+13
g(3) Evaluate Functions
Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …
Step-by-step explanation: sorry if this does not helps please give me brainly
Graph the equation by making a table
y=3x
The graph of y = 3x is a straight line that passes through the origin (0,0) and has a slope of 3.
What is graph?In computer science, a graph is a collection of nodes or vertices, connected by edges or arcs, which represents a set of pairwise relationships between the nodes. Graphs are widely used in computer science and related fields as a way of representing complex networks or relationships between different entities.
Graphs can be directed or undirected. In a directed graph, each edge has a direction and represents a relationship between two nodes that is one-way. In an undirected graph, each edge represents a two-way relationship between two nodes.
Graphs can also be weighted or unweighted. In a weighted graph, each edge has a numerical weight assigned to it, which represents the strength or importance of the relationship between the two nodes it connects. In an unweighted graph, all edges have the same weight.
Graphs can be used to model a wide variety of systems and processes, including social networks, computer networks, transportation systems, and many others. They are also used in many algorithms and data structures, including shortest path algorithms, network flow algorithms, and data mining algorithms.
by the question.
Let's choose some values for x and use the equation to find the corresponding values for y:
x y
-2 -6
-1 -3
0 0
1 3
2 6
Now we can plot these points on a graph and connect them with a straight line:
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