The values of x where the function f(x) is not continuous are x = 2, and the discontinuity at x = 2 is a jump discontinuity.
The function f(x) is defined as:
f(x) = {1/2x+5, x<=2
{x+3, x>2
To find the values of x where f(x) is not continuous, we need to check for three types of discontinuities: removable, jump, and infinite.
Removable discontinuity: This occurs when a function has a hole at a certain point, but can be made continuous by defining or redefining the value of the function at that point. In order for a discontinuity to be removable, the limit of the function as x approaches that point must exist.
To check for removable discontinuity, we need to check if the limit of the function as x approaches a certain point exists, but the function value is different from the limit. In this case, we only need to check the function at x = 2.
lim x->2- f(x) = lim x->2- 1/2x+5 = 6
lim x->2+ f(x) = lim x->2+ x+3 = 5
Since the limits from both sides are not equal, there is a removable discontinuity at x = 2. We can redefine the value of f(x) at x = 2 as 6 to remove the discontinuity.
Jump discontinuity: This occurs when the function has two distinct finite limits from both sides of a point, but the limits are not equal.
To check for jump discontinuity, we need to check if the limit of the function as x approaches a certain point exists from both sides, but they are not equal. In this case, we only need to check the function at x = 2.
lim x->2- f(x) = lim x->2- 1/2x+5 = 6
lim x->2+ f(x) = lim x->2+ x+3 = 5
Since the limits from both sides are not equal, there is a jump discontinuity at x = 2.
Infinite discontinuity: This occurs when the function approaches infinity or negative infinity as x approaches a certain point.
To check for infinite discontinuity, we need to check if the limit of the function as x approaches a certain point approaches infinity or negative infinity. In this case, there is no such point where f(x) approaches infinity or negative infinity.
Therefore, the values of x where the function f(x) is not continuous are x = 2, and the discontinuity at x = 2 is a jump discontinuity.
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write the equation of a line which has slope of 6/5 and goes through the point (0,3)
The equation of the line with slope 6/5 that passes through the point (0,3) is y = (6/5)x + 3.
What is slope equation?The equation of a line with slope m that passes through the point (x₁, y₁) is given by:
y - y₁ = m(x - x₁)
In this case, we know that the slope is 6/5 and the line passes through the point (0,3), so we can substitute these values into the equation:
y - 3 = (6/5)(x - 0)
Simplifying:
y - 3 = (6/5)x
Multiplying both sides by 5 to eliminate the fraction:
5y - 15 = 6x
Adding 15 to both sides:
5y = 6x + 15
Dividing both sides by 5 to solve for y:
y = (6/5)x + 3
Therefore, the equation of the line with slope 6/5 that passes through the point (0,3) is y = (6/5)x + 3.
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Suppose we have a confidence interval for the population mean where the population standard deviation is 1.92, the sample size is 31, and the sample mean has a normal sampling distribution. We know the margin of error, M, is 0.708219250861584. What is the alpha for this confidence interval? Answer to 3 decimals.
Alpha for this confidence interval is approximately 0.021 when rounded to 3 decimals.
How to find the alpha for this confidence interval?We can follow these steps:
Determine the z-score that corresponds to the given margin of error.
Use the z-score to find the alpha level.
Step 1: Determine the z-score
We know the margin of error (M) formula is:
M = z * (population standard deviation / sqrt(sample size)).
We are given M = 0.708219250861584, population standard deviation = 1.92, and sample size = 31. We need to find the z-score.
0.708219250861584 = z * (1.92 / √(31))
To solve for z, divide both sides by (1.92 / √(31)):
z = 0.708219250861584 / (1.92 / √(31))
z ≈ 2.036
Step 2: Use the z-score to find the alpha level
A z-score of 2.036 corresponds to an alpha level of 0.042 (which you can find using a z-table). Since the confidence interval is two-tailed, we need to divide the alpha by 2:
Alpha (α) = 0.042 / 2
α ≈ 0.021
So, the alpha for this confidence interval is approximately 0.021 when rounded to 3 decimals.
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Karina is going to a theme park and will be splitting the cost of a hotel room with her friend. She will pay $38 for theme park admission plus $10 for lunch. She will also cover the cost of parking, which is $4 per hour. Write an expression to represent the cost of Karina's theme park trip if r represents the cost of the hotel room and h represents the number of hours they park. How much will Karina pay if they park for 7 hours and the hotel room costs $86?
If the hοtel rοοm fοr Karina and her friend cοsts $86 and they park fοr 7 hοurs, then she will pay $119.
What is the cοst?The cοst οf anything is the sum οf mοney οr resοurces that must be used up in οrder tο acquire οr manufacture it. It is a measurement οf the cοsts incurred tο attain a specific οbjective οr result.
The expressiοn tο represent the cοst οf Karina's theme park trip wοuld be:
38 + 10 + 4h + (1/2)r
This includes the $38 entry price, the $10 lunch expense, and the $4 per hοur parking expense fοr the 72 hοurs. Given that Karina and her friend are splitting the cοst οf the hοtel rοοm, the final phrase (1/2)r denοtes Karina's pοrtiοn οf the expense.
If the hοtel rοοm fοr Karina and her friend cοsts $86 and they park fοr 7 hοurs, we can change these values intο the fοrmula tο make it simpler:
= 38 + 10 + 4(7) + (1/2)(86)
= 38 + 10 + 28 + 43
= $119
Therefοre, Karina will pay $119 fοr her theme park trip.
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Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not at all important” and a rating of 10 means “very important.” Here is a dot plot of their responses.
Explain why a rating of 6 is not a good description of the center of this data set.
After answering the provided question, we can state that As a result, expression rather than a rating of 6, it would be more appropriate to use the median to describe the centre of this data set.
what is expression ?An expression in mathematics is a collection of interpretations, digits, and transnational corporations that resemble a causative link or regimen. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include extension, subtraction, rapid spread, separation, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.
Because the dot plot is not symmetrical and the distribution appears to be skewed towards higher ratings, a rating of 6 may not be a good description of the centre of this data set. The numbers 8, 9, and 10 are more common than the numbers 0-7, indicating that the data set has a right skew.
As a result, the centre of the data set may be better described by a measure of central tendency that accounts for data skewness, such as the median.
As a result, rather than a rating of 6, it would be more appropriate to use the median to describe the centre of this data set.
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Napoleon bonparte was born 1769 dies 1821 how many years did he live
Explanation:
To find how many years Napoleon Bonaparte lived, we can subtract his year of birth from his year of death:
Years lived = Year of death - Year of birth
Years lived = 1821 - 1769
Years lived = 52
Therefore, Napoleon Bonaparte lived for 52 years.
PLEASE HELP BOTTOM PROBLEM
Answer:
Step-by-step explanation:
h+f
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,600 was collected on the sale of 1,160 tickets. How many of each type of ticket were sold?
Answer:
360 adult tickets and 800 student tickets were sold.
Step-by-step explanation:
Let's use a system of equations to solve this problem.
Let x be the number of adult tickets sold, and y be the number of student tickets sold. We know that a total of 1,160 tickets were sold, so:
x + y = 1160
We also know that the total amount collected was $2,600. The amount collected from adult tickets is $5 times the number of adult tickets sold, and the amount collected from student tickets is $1 times the number of student tickets sold. So:
5x + 1y = 2600
Now we have a system of two equations:
x + y = 1160
5x + y = 2600
We can solve for one of the variables in terms of the other, and substitute into the other equation to solve for the remaining variable. For example, we can solve the first equation for y:
y = 1160 - x
Now substitute this expression for y into the second equation:
5x + (1160 - x) = 2600
Simplifying and solving for x:
4x + 1160 = 2600
4x = 1440
x = 360
So 360 adult tickets were sold. To find the number of student tickets sold, we can use either equation. Let's use the first equation:
x + y = 1160
360 + y = 1160
y = 800
So 800 student tickets were sold.
Therefore, 360 adult tickets and 800 student tickets were sold.
Determine the angle at which the ellipse x^2+3y^2=12 is seen from the point M (0,4)
Therefore, the angle at which the ellipse x² + 3y² = 12 is seen from the point M (0,4) is -30 degrees.
What is ellipse?An ellipse is a geometric shape that resembles a stretched or squished circle. It can be defined as the set of all points in a plane, such that the sum of the distances from two fixed points, called the foci, is constant. An ellipse has two axes, a major axis and a minor axis, which intersect at the center of the ellipse. The length of the major axis is twice the distance from the center to one of the foci, while the length of the minor axis is twice the distance from the center to one of the points where the ellipse intersects the major axis. Ellipses have many applications in mathematics, physics, and engineering. They are used to model the orbits of planets and satellites, as well as the paths of objects in electric and magnetic fields. They are also used in optics to describe the shape of lenses and mirrors, and in statistics to model data distributions.
Here,
To determine the angle at which the ellipse x² + 3y² = 12 is seen from the point M (0,4), we first need to find the equation of the tangent line to the ellipse at the point (0,4).
To do this, we take the derivative of the equation of the ellipse with respect to x and evaluate it at the point (0,4):
d/dx (x² + 3y²) = 2x + 6y(dy/dx)
At the point (0,4), we have x = 0 and y = 4, so the equation becomes:
0 + 6(4)(dy/dx) = 0
Solving for dy/dx, we get:
dy/dx = 0
This means that the tangent line to the ellipse at the point (0,4) is a horizontal line passing through the point (0,4).
Now we can find the angle at which the ellipse is seen from the point M (0,4) by finding the angle between the horizontal tangent line and the line connecting the point M to the origin. This angle is given by:
tan θ = (y₂ - y₁)/(x₂ - x₁)
where (x₁, y₁) = (0,4) is the point M and (x₂, y₂) is the point where the tangent line intersects the x-axis.
Since the tangent line is horizontal, it intersects the x-axis at the point (±2√3, 4), which are the x-intercepts of the ellipse. Choosing the positive x-intercept, we have:
x₂ = 2√3
y₂ = 0
Substituting these values into the formula for the tangent, we get:
tan θ = (0 - 4)/(2√3 - 0) = -2/2√3 = -1/√3
Taking the inverse tangent of both sides, we get:
θ = -30 degrees
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Can you find the slope
The slope of the function is 1.
The whole function is simply f(x)=x+3
The Bermuda Triangle is a triangular-shaped region that has side lengths of 959 miles, 1,011 miles, and 1,033 miles.
Is the following statement True or False?
The Bermuda Triangle forms a right triangle.
Answer:
False.
Step-by-step explanation:
Use Pythagorean theorem.
919681+1022121=1067089
1941802≠1067089
so the triangle is acute, not right.
1. 08 similarity and the Pythagorean theorem
Answer: In any right angled triangle , the square of the length of the hypotenuse (longest side) is equal to the sum of square of length of the other two side (i.e. adjacent leg and opposite leg)
Solve (x-2)(2x-1) = 0
Answer:
x = 2 and x = 1/2.
Step-by-step explanation:
To solve (x-2)(2x-1) = 0, we need to find the values of x that make the left side of the equation equal to 0.
Using the zero product property, we know that if the product of two factors is equal to 0, then at least one of the factors must be equal to 0.
Therefore, we have two possible solutions:
1.x - 2 = 0, which gives us x = 2
2.2x - 1 = 0, which gives us x = 1/2
So, the solutions to the equation (x-2)(2x-1) = 0 are x = 2 and x = 1/2.
Alex did 9/12 of his homework problems. He did thirty. How many homework problems does alex have?
Convert 95°c to °F?
Answer:
Step-by-step explanation:
The Answer is 203 Fahrenheit.
(95 x 9/5) + 32 = 203
Find the volume of a silo formed by a cylinder with a height of 150 feet and half sphere with a radius of 35 feet.
Therefore, the volume of a cycle that is shaped like a cylinder with a height of 150 feet and a radius of 35 feet is 576975 ft^3.
Step-by-step explanation:They are asking us to calculate the volume of a cycle, formed by a cylinder (The cycle is shaped like a cylinder).
To calculate the volume, we apply the formula:
V = πr²hWe know that the height you have is 150 feet, and the radius is 35 feet, we solve:
V = 3.14 × (35 ft)² × 150 ft
V = 3.14 × 1225 ft² × 150 ft
V = 576975 ft³
Therefore, the volume of a cycle that is shaped like a cylinder with a height of 150 feet and a radius of 35 feet is 576975 ft^3.
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All exponential functions can be written in many forms. Write the function
f(t) = 750(0.65) ^t\35 in the form f(t) =ab^t. Round all coefficients to four decimal
places.
The final form of the exponential function is: f(t) = 750(0.8825)raise to the power t
what is exponential function?
An exponential function is a mathematical function of the form f(x) = a to the power x, where "a" is a positive constant (called the base of the exponential function) and "x" is a variable that can take on any real number value.
The key property of an exponential function is that the output value (or "y" value) grows or decays at a constant rate as the input value (or "x" value) increases or decreases. This constant rate of growth or decay is determined by the base "a" of the function.
When the base "a" is greater than 1, the function represents exponential growth, where the output value increases rapidly as the input value increases. When the base "a" is between 0 and 1, the function represents exponential decay, where the output value decreases rapidly as the input value increases.
Exponential functions are commonly used to model natural phenomena such as population growth, radioactive decay, and compound interest. They also have many applications in science, engineering, economics, and finance.
Starting with the given exponential function:
f(t) = 750(0.65)raise to the power (t/35)
We can rewrite 0.65 as 0.65, and 35 as 5 * 7. Then we have:
f(t) = 750(0.65)raise to the power (t/(5*7))
Using the exponent rule that (a to the power b)to the power c = a to the power (bc), we can simplify the expression inside the parentheses:
f(t) = 750(0.65 to the power (t/5))⁷
Letting a = 750 and b = 0.65 to the power(1/5), we can write the function in the desired form:
f(t) = ab to the power , where a ≈ 750 and b ≈ 0.8825 (rounded to four decimal places)
Therefore, the final form of the exponential function is:
f(t) = 750(0.8825) to the power t
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$24700 at 11% compounded semiannually for 2 years
The final amount after 2 years of compounding semiannually at 11% is $31,909.52.
To solve this problemFirst we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where
A is the final amount P is the principal (initial amount) r is the annual interest rate (as a decimal)n is the number of times the interest is compounded per year t is the time in yearsPlugging in the given values, we get:
P = $24,700
r = 0.11 (11% annual rate as a decimal)
n = 2 (compounded semiannually, or twice per year)
t = 2 (2 years)
A = $24,700(1 + 0.11/2)^(2*2)
= $31,909.52
Therefore, the final amount after 2 years of compounding semiannually at 11% is $31,909.52.
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Solving In equality’s
The answer is in the picture
Draw the line of reflection that reflects
△
�
�
�
△ABCtriangle, A, B, C onto
△
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′
�
′
�
′
△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime.
The middle οf BC and B′C′ shοuld be crοssed by a line. This line serves as the triangle's reflectiοn line.
what is line ?A line is a straight, οne-dimensiοnal figure in geοmetry that can gο οn fοrever in bοth directiοns. It is frequently depicted as an infinitely lοng straight line with arrοws at bοth ends. Any twο οf its pοints, referred tο as a line's endpοints, are what characterize a line. Geοmetrical cοncepts like angles, planes, and shapes are defined in terms οf lines, which are fundamental geοmetrical οbjects. These can be depicted using mathematical sοftware οr a straightedge and pencil.
Finding the perpendicular bisectοr οf each pair οf related sides is necessary befοre we can cοnstruct the line οf reflectiοn that reflects triangle ABC οntο triangle A′B′C′. We will find the center οf reflectiοn at the pοint where these three perpendicular bisectοrs cοnnect.
Bypassing the intersectiοn οf AB and A′B′, draw a line. Identify this pοint as M.
The middle οf AC and A′C′ shοuld be crοssed by a line. Identify this pοint as N.
The middle οf BC and B′C′ shοuld be crοssed by a line. Identify this pοint as O.
Lοcate where the MN and MO lines cοnverge. Put a P after this place.
The middle οf BC and B′C′ shοuld be crοssed by a line. This line serves as the triangle's reflectiοn line.
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Complete Question:
Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'
Two triangles each have angles with measures x and yº. Complete the statement to show algebraically why a = b.
X
a
y
X
b
Tile1 180°
Tile3 b
Tiles Angle Addition
Theorem,x+y+a-180° and x+y+b=
By the
Subtract equal quantities from both sides to get a-
Tiles:
y
D
B.By substitution, x+y+a-
Tile2 x
Tile4 x+y+b
Tile6 Triangle Sum
k
с
By the Triangle Sum Theorem, x + y + a = 180° and x + y + b = 180°. By substitution, x + y + a = 180°. Subtract equal quantities from both sides to get a = b.
What is a triangle?In Mathematics, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.
Furthermore, the sum of the angles in a triangle is equal to 180. This ultimately implies that, we would sum up all of the angles as follows;
x + y + b = 180°
By substitution, we have the following:
x + y + a = 180°
Next, we would subtract equation 1 from equation 2, we have:
a - b = 0
a = b (Prove).
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select all expressions that represent a correct solution to the equation 6(x+4)=20
Answer:
number A
Step-by-step explanation:
Answer:
I think the answer is x= -0.66 . .. and continuous more 6's
Step-by-step explanation:
I hope this helps. Have a good day!
what does water drain counterclockwise in the southern hemisphere
No, the idea that water always goes down the drain counterclockwise in the northern hemisphere and clockwise in the southern hemisphere is a myth.
The direction that water drains is actually determined by the shape of the sink or toilet bowl, as well as any other factors such as the water pressure and the motion of the water before it enters the drain. The Coriolis effect, which is often cited as the cause of the supposed clockwise/counterclockwise rotation, only affects large-scale phenomena like weather patterns and ocean currents, and is not noticeable in small-scale phenomena like draining water. So, in reality, the direction that water drains is not determined by the hemisphere in which you are located.
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Complete question
Does water go down the drain counterclockwise in the northern hemisphere and clockwise in the southern hemisphere?
suppose that iq scores have a bell-shaped distribution with a mean of 96 and a standard deviation of 17 . using the empirical rule, what percentage of iq scores are greater than 79 ? please do not round your answer.
Using the empirical rule, the percentage of IQ scores that are greater than 79 is 84%.
The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution:
Approximately 68% of the data falls within one standard deviation of the mean.Approximately 95% of the data falls within two standard deviations of the mean.Approximately 99.7% of the data falls within three standard deviations of the mean.Since we know that the mean is 96 and the standard deviation is 17, we can calculate how many standard deviations away from the mean an IQ score of 79 is:
(79 - 96) / 17 = -1
This means that an IQ score of 79 is one standard deviation below the mean. This also means that approximately 68% of the data falls between 79 and (96 + 17) = 113.
Meanwhile, approximately 32% of the data falls outside of one standard deviation. We can say that half of this 32% are scores less than 79 and the other half are scores greater than 113. So the percentage of IQ scores greater than 79 is:
100 - (1/2 of 32) = 84%
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7+3p2Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.
The degree of the polynomial is 2, and the leading coefficient is 3. The polynomial has two terms, so we classify it as a binomial.
What is the polynomial equation?
A polynomial equation is an equation in which the variable(s) are raised to non-negative integer powers and the coefficients are constants. In other words, it is an equation in which the terms involve only addition, subtraction, multiplication, and positive integer exponents.
Assuming that the expression is 7 + 3p²:
To write the polynomial in standard form, we need to arrange the terms in descending order of degree:
3p² + 7
hence, The degree of the polynomial is 2, and the leading coefficient is 3. The polynomial has two terms, so we classify it as a binomial.
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Amelia needs to buy some cat food at the nearest store three packs of cat food cost $14.25 how much would Amelia spend on five bags of cat food
Answer: It costs 23.75 for 5 bags of cat food.
Step-by-step explanation: If 3 bags of cat food costs 14.25 to figure out how much it costs. First thing to do is, divide the known number (14.25) or the costs by the amount of bags that made up to this price.
14.25 divided by 3 equals 4.75.
4.75 is the costs of 1 bag of cat foods. Now for the final step, multiply the cost of 1 bag (4.75) by 5 because we’re trying to see how much it costs for 5 bags of cat food.
4.75
x 5
= 23.75!
you’re welcome!!
a software developer wants to know how many new computer games people buy each year. assume a previous study found the variance to be 1.44 . she thinks the mean is 6 computer games per year. what is the minimum sample size required to ensure that the estimate has an error of at most 0.15 at the 99% level of confidence? round your answer up to the next integer.
The minimum sample size required to ensure that the estimate has an error of at most 0.15 at the 99% level of confidence = 426
Here, the population variance is σ² = 1.44
The mean is [tex]\bar{x}[/tex] = 6
And the margin of error is E = 0.15
The standard deviation is given by,
⇒ σ = [tex]\sqrt{1.44}[/tex]
⇒ σ = 1.2
Here, the confidence level is 99%
So, the level of signoficance would be,
⇒ α = (100 - 99)%
⇒ α = 0.01
From the normal distribution table the critical value would be,
[tex]z_{\alpha /2}[/tex] = 2.58
Now we find the sample size :
[tex]n=(\frac{z_{\alpha /2}\times \sigma}{E} )^2\\\\n=(\frac{2.58 \times 1.2}{0.15} )^2[/tex]
n = 426
Therefore, the sample size is 426
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On a recent quiz, the class mean was 77 with a standard deviation of 2. Calculate the z-score (to 2
decimal places) for a person who received score of 72.
Z-score:
Is this unusual?
O Not Unusual
O Unusual
The answer is that the z score is unusual. We can calculate it in the following manner.
To calculate the z-score for a score of 72, we can use the formula:
z = (x - μ) / σ
where x is the individual score, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
z = (72 - 77) / 2 = -2.5
Rounding to two decimal places, the z-score is -2.50.
To determine if this z-score is unusual, we need to compare it to a standard normal distribution. In a standard normal distribution, about 95% of the data falls within 2 standard deviations of the mean (i.e., between a z-score of -2 and +2). A z-score beyond this range is generally considered unusual.
Since the z-score for a score of 72 is beyond this range (i.e., it is less than -2), it is considered unusual.
Therefore, the answer is:
Unusual
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1. Leveled Practice Draw the image of
AABC after a dilation with center (0, 0)
and scale factor
Find the coordinates of each point in the
original figure.
A: (
B: (
C: (
Multiply each coordinate by
Find the coordinates of each point in
the image:
A': (
B': (
). (
0.0
). (
Graph the image.
), (
C': (
6
4
Ay
8
-2₁
6
4
2
-2
B
4
6
-8
2
4
6
8
ordinates 0(4, 5),
Answer:
The problem seems to be missing some important information such as the scale factor and the coordinates of the points in the original figure. Without this information, I cannot provide a complete solution to the problem. Please provide me with the missing information so I can help you better.
Step-by-step explanation:
The table shows the temperature of a pizza over four-minute intervals after it is removed from the oven.
Time, (x) 0 4 Temperature, (y) 450 340
Create a model describing the data and use it to predict the temperature after 20 minutes
The temperature of the pizza after 20 minutes will be 25 degrees.
Define the term slope?the slope refers to the measure of the steepness or inclination of a line.
We can create a linear model to describe the relationship between time and temperature.
So, slope (m) = [tex]\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Using the temperature and time values from the first and last data points:
m = [tex]\frac{(145 - 450)}{(16 - 0)}[/tex]
m = -305/16
Using the point-slope form of the equation of a line, we can now ascertain the equation of the line:
y - y₁ = m(x - x₁)
Using the first data point (0, 450);
y - 450 = (-305/16)(x - 0)
Simplifying, y = (-305/16)x + 450
To predict the temperature after 20 minutes, we can plug in x = 20 and solve for y:
y = (-305/16)(20) + 450
y = -950/16 + 450
y = 25
Therefore, we can predict that the temperature of the pizza after 20 minutes will be approximately 25 degrees.
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The equation shows the average cost, y, in dollars, of
electricity per kilowatt hour (kWh) used, x, for homes in
the state of Missouri in 2011.
Based on the equation what would be the cost, in dollars,
for a home using O kWh of electricity in 2011?
1
y= X
10
After answering the presented question, we can conclude that As a equation result, in 2011, the cost of a residence utilising 0 kWh of power would be zero dollars.
What is equation?In mathematics, an equation is a proposition that states the equivalence of two expressions. An equation consists of two sides separated by a system of equations (=). For instance, the statement "2x + 3 = 9" states that the word "2x Plus 3" equals the integer "9". The goal of solving equations is to find the value or amounts of the variable in the model) that will permit the calculation to be accurate. Mathematics can be simple or complex, linear or nonlinear, and contain one or more parts. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the power of 2. Lines are used in many areas of mathematics, including algebra, arithmetic, and geometry.
y = x/10 is the provided equation.
If a residence uses 0 kWh of power (x=0), the cost of electricity is as follows:
y = x/10 = 0/10 = $0 per kWh.
As a result, in 2011, the cost of a residence utilising 0 kWh of power would be zero dollars.
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