The net income or loss is transferred from the income statement to the trial balance.
Income statement is referred to as the statements of the money one or an organization has earned in a month or more broadly in an year.
It is used in corporate sectors and also in the field of accounting.
Trial balance can be considered as the balance where all the records are maintained for further tally of the balance sheet. When we are preparing financial accounts, the trial balance is used to identify and repair problems in those accounting records. Generally , the trial balance is prepared at the end of an accounting period, such as a month or a year.
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What is the gradient of the line y 7x 3?
The given expression is of the form y=mx+c. Comparing, we get the slope as 7.
The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.
Given the expression is y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.
The complete question -
What is the gradient of the line y=7x+3?
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Write an equation in slope-intercept form for the line passing through the pair of points. (2, –6), (–4, 3) Question 1 options: y = x + 3 y = x – 3 y = x – 3 y = x + 3
Option 1 is Correct. For the line connecting the two locations, an equation in slope-intercept form is. y = x + 3
A line's slope and intercept give information on its steepness and the point at which it crosses an axis, respectively. The linear relationship between two variables is defined by the slope and intercept, which can be used to calculate the average rate of change.
When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
y=mx+c
y= (6+3)/(4+2)
y= 9/6
y= 3/2
equation = y+6 =3/2(x-2)
2y+12=3x-6
y=x-3
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Correct Question:
Write an equation in slope-intercept form for the line passing through the pair of points. (2, –6), (–4, 3) Question 1 options:
1. y = x + 3
2. y = x – 3
3. y = x – 3
4. y = x + 3
How do you solve natural log integrals?
7x2+6x+9
-(4x2+2x+1)
Answer:
[tex]3x^2+4x+8[/tex]
Step-by-step explanation:
To find the value of [tex]7x^2+6x+9-4x^2-2x-1[/tex]
We need to combine like terms by grouping
[tex]7x^2-4x^2+6x-2x+9-1[/tex]
= [tex]3x^2+4x+8[/tex]
Hope this helps :)
Have a great day!
A dozen eggs cost $3.84.at this rate , how much would 50 eggs cost?
Answer: $16
Hope this helps :)
Step-by-step explanation:
Find the unit rate and multiply by 50
1 Dozen=12 Eggs
1 Dozen= $3.84
3.84/12= .32 per egg
.32*50= 16
How do you write 5 is less than 10?
The answer of 5 less than 10 is 5.
The answer of 5 less than 10 is 5 which can be derived using simple mathematical calculations.
To find 5 less than 10, you can subtract 5 from the original number 10.
10 - 5 = 5
It's a simple arithmetic operation where you subtract a specific number, in this case, 5, from the original number.
An arithmetic operation is a mathematical process that combines two or more numbers to produce a new number. The most basic arithmetic operations are addition, subtraction, multiplication, and division.
Addition: It is the process of combining two or more numbers to find their sum. For example, 2 + 3 = 5 is an addition operation.
Subtraction: It is the process of finding the difference between two numbers. For example, 5 - 3 = 2 is a subtraction operation.
Multiplication: It is the process of finding the product of two or more numbers. For example, 3 x 4 = 12 is a multiplication operation.
Division: It is the process of finding the quotient of two numbers. For example, 12 ÷ 3 = 4 is a division operation.
Therefore, The answer of 5 less than 10 is 5.
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The horizontal asymptote determines the ________________ of the function.
A) holes.
B) domain.
C) range.
D) continuity.
the depth of a rain puddle d(t) is given in inches, and t is given in minutes. if the depth is changing with respect to time, which expression gives the rate at which the depth of the water is changing at 5 minutes?
The required expression gives the rate of change will be d'(5) at which the depth is changing at 5 minutes.
Let d(t) represent the depth of the rain puddle at any time t,
⇒ d(t) ....(i)
The depth is changing with respect to time, which is given in the question
Differentiate equation (i) with respect to t and we get
⇒δd(t)/δt = d'(t) ....(ii)
This is the rate of change in depth unit time:
As per the question, the depth is changing at 5 minutes
Substitute the value of t=5 in equation (ii), and we get
⇒ d'(5)
Therefore, the required expression gives the rate of change will be d'(5).
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For what value of K is a perfect square?
For r [tex]$\mathrm{k}=0$[/tex]or[tex]$\mathrm{k}=3$,[/tex] the given equation will be a perfect square.
How to identify perfect square of equations?When a number's square root, which is the product of an integer and itself, is an integer, it is said to be a perfect square or a square number. 216's square root, as we all know, is roughly equal to 14.697. In this case, 216's square root is not an integer.When a number's square root, which is the product of an integer and itself, is an integer, it is said to be a perfect square or a square number. 216's square root, as we all know, is roughly equal to 14.697. In this case, 216's square root is not an integer. The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."[tex]$$(4-k) x^2+(2 k+4) x+8 k+1=0$$[/tex]
Here, [tex]$a=4+k, \quad b=2 k+4, \quad c=8 k+1$[/tex]
The given equation will be a perfect square, i.e., real and equal roots if
[tex]& \mathrm{D}=0 \\[/tex]
[tex]& \mathrm{~b}^2-4 \mathrm{ac}=0 \\[/tex]
[tex]& (2 \mathrm{k}+4)^2-4(4-\mathrm{k})(8 \mathrm{k}+1)=0 \\[/tex]
Then,
[tex]& 4 \mathrm{k}^2+16+16 \mathrm{k}-4\left(32 \mathrm{k}-8 \mathrm{k}^2+4-\mathrm{k}\right)=0 \\[/tex]
Simplifying,
[tex]& \mathrm{k}^2+4+4 \mathrm{k}-32 \mathrm{k}+8 \mathrm{k}^2-4+\mathrm{k}=0 \\[/tex]
[tex]& 9 \mathrm{k}^2-27 \mathrm{k}=0 \\[/tex]
[tex]& \mathrm{k}^2-3 \mathrm{k}=0 \\[/tex]
So,
[tex]& \mathrm{k}(\mathrm{k}-3)=0 \\[/tex]
Get,
[tex]& \mathrm{k}=0[/tex] or [tex]\mathrm{k}=3[/tex]
Hence for [tex]$\mathrm{k}=0$[/tex]or[tex]$\mathrm{k}=3$,[/tex] the given equation will be a perfect square.
The complete question is,
For what value of [tex]$\mathrm{k},(4-\mathrm{k}) \mathrm{x}^2+(2 \mathrm{k}+4) \mathrm{x}+(8 \mathrm{k}+1)=0$[/tex] is a perfect square:
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For k=0 or k=3, the given equation will be a perfect square.
4−k)x 2 +(2k+4)x+8k+1=0
Here, a=4+k,b=2k+4,c=8k+1
The given equation will be a perfect square, i.e., real and equal roots if
D=0
b2 −4ac=0
(2k+4) 2 −4(4−k)(8k+1)=0
4k 2 +16+16k−4(32k−8k 2+4−k)=0
k 2+4+4k−32k+8k 2−4+k=0
9k 2−27k=0
k 2−3k=0
k(k−3)=0
k=0 or k=3
Hence for k=0 or k=3, the given equation will be a perfect square.
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What decimal is equal to 38%
Answer:
0.38
Step-by-step explanation:
Percentage is number/100 = 38/100 = 0.38
Cheers
if heart disease death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people, how would the correlation r between wine consumption and heart disease death rate change?
The correlation coefficient, r, is a unitless measure and it is not affected by the units of measurement of the variables. Changing the units of measurement of one or both variables will not change the correlation coefficient.
If heart disease death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people, the correlation r between wine consumption and heart disease death rate would not change. The strength and direction of the linear link between two variables is measured by the correlation coefficient, or r.
The correlation coefficient is calculated by taking the covariance of the two variables and dividing it by the product of the standard deviations of the two variables. The covariance is a measure of how two variables vary together, and it is not affected by the units of measurement.
The standard deviation is also not affected by the units of measurement, as it is a measure of how much the data deviates from the mean.
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a regular tetrahedron is a triangular pyramid in which each face is an equilateral triangle. if the height of a regular tetrahedron is 20 inches, then what is the length of each edge of the tetrahedron? express your answer in simplest radical form.
If the height of a regular tetrahedron is 20 inches, the length of each edge of the tetrahedron is 10√2 inches. This can be found by using the Pythagorean theorem.
This can be found by using the Pythagorean theorem. The Pythagorean theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side. In this case, the hypotenuse of the right triangle is the height of the tetrahedron or 20 inches. The other two sides of the triangle, the base and the height of the triangle, will be equal since the triangle is equilateral, so each side is 10 inches.
The Pythagorean theorem can then be applied as follows: 10^2 + 10^2 = 20^2, or 100 + 100 = 400. This simplifies to 200 = 400, so the length of each side of the triangle is 10√2 inches. For a more visual explanation of this, imagine the height of the tetrahedron is a diagonal line going down the center of the triangle, dividing it into two equal right triangles. Since the triangle is equilateral, the base of each triangle will be 10 inches, and the height of the triangle will also be 10 inches.
This creates the right triangle that the Pythagorean theorem can be applied. The Pythagorean theorem will then tell us that the hypotenuse of the triangle is 10√2 inches. Since the hypotenuse of the right triangle equals the height of the tetrahedron, the length of each edge of the tetrahedron is 10√2 inches.
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Which linear system is Mcq?
A : y [ n ] = x [ n ] x x [ n - 1]
B : y [ n ] = x [ n ] + x [ n - 10]
C : y [ n ] = x 2 [ n ]
D : (a) and (c)
This is a linear system since it is a linear combination of the inputs x[n] and x[n-1].
A: y[n] = x[n] x x[n-1]
This is a linear system since it is a linear combination of the inputs x[n] and x[n-1]. We can represent this equation as:
y[n] = a * x[n] + b * x[n-1]
where a and b are constants.
For example, if x[n] = 2 and x[n-1] = 3 then y[n] = 2 x 3 = 6.
C: y[n] = x2[n]
This is also a linear system since it is a linear combination of the input x[n] and its squared value x2[n]. We can represent this equation as:
y[n] = c * x[n] + d * x2[n]
where c and d are constants.
For example, if x[n] = 2 then y[n] = c * 2 + d * 2² = c * 2 + d * 4.
Therefore, the correct answer is D: (a) and (c).
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When a line segment is divided in the ratio 2/3 How many parts is it divided into?
The line segment which is divided into the ratio 2 : 3 represents that line is divided into 5 equal parts.
As given in the question,
Let the given line segment be represents as AB .
And point C be the points which divide AB in the ratio 2 : 3.
The given ratio represents from AC is divided into 2 equal parts.
And BC is divided into 3 equal parts.
Total number of parts AB is divided into the ratio 2 : 3 is equal to
= 2 + 3
= 5 equal parts
Therefore, the line segment divided into the ratio 2 : 3 represents 5 equal parts.
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Henry has worked for a factor for 31 years and will be retiring. He earned salaries over the past 4 years of $38433, $37776, $39125, and $38782. His employer calculates pension by finding the average of his last 4 years’ salaries and will give him 1. 9% of that average for each year he worked. Calculate his pension
After calculating the average of his last 4 years’ salaries and will give him 1. 9% of that average for each year he worked, the total pension is $2928.204.
In the given question, we have to calculate Henry pension.
Henry has worked for a factor for 31 years and will be retiring.
He earned salaries over the past 4 years of $38433, $37776, $39125, and $38782.
His employer calculates pension by finding the average of his last 4 years’ salaries and will give him 1.9% of that average for each year he worked.
His earning over the past 4 years = $38433, $37776, $39125, $38782
The average of Henry earning = Sum of his earning over 4 years / number of years
The average of Henry earning = ($38433 + $37776 + $39125 + $38782)/4
The average of Henry earning = $154,116/4
The average of Henry earning = $38,529
Hence, the average of Henry last 4 years’ salaries is $38,529.
The pension is 1.9% of the average salary. So,
Pension = $38,529×1.9%
Pension = $38,529×0.019
Pension = $732.051
He worked for total 4 years. So,
Total pension = $732.051×4
Total pension = $2928.204
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How do you know if an ordered pair is a solution to a linear equation by looking at the graph?
If the ordered pair is located on the graph of the linear equation, then it is a solution to the equation.
If you are looking at the graph of a linear equation, you can determine whether an ordered pair is a solution by seeing if the point representing the ordered pair is on the line of the equation. If the point is on the line, then the ordered pair is a solution to the equation. If the point is not on the line, then it is not a solution to the equation. The line of the equation will pass through all of the points that are solutions to the equation and all other points will not be on the line. This means that if you have an ordered pair and you want to know if it is a solution, you can look at the graph and see if it is on the line. If it is on the line, then it is a solution.
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A company is opening and expanding a new headquarters in a region over the next three years. The region had 6,240 households just before the opening. If the region grows r% annually for this period, the number of households H after t years is H(r)=6,240(1+r100)t. Find and interpret the inverse function r(H). What annual growth rate will increase the number of households to 7,800 after three years? Explain how to find your answer and provide the annual growth rate as a percentage, rounded to two decimal places. Can someone help me with these questions?
The growth rate of [tex]r=100\left[\left(\frac{H(r)}{6240}\right)^{1 / t}-1\right][/tex] the number of households is increasing.
Compound growth is the average rate of growth that an investment experience over a number of years. When contemplating the investing landscape, one way to think about the compound growth rate is that it accounts for all the hills and valleys.
The % increase is simply divided by N, the number of years, to get the yearly percentage growth rate.
The number of households initially =P=6240
We have the value of Time period = t=3 years
As after three years the total number of households becomes =A=7800
Now
[tex]$$\begin{aligned}7800 & =6240\left(1+\frac{r}{100}\right)^8 \\\frac{7800}{6240} & =\left(1+\frac{r}{100}\right)^3 \\\left(1+\frac{r}{100}\right) & =\sqrt[3]{\frac{7800}{6240}}=1.0772 \\\frac{r}{100} & =1.0772-1=0.0772 \\\end{aligned}$$[/tex]
r =7.72% per year
Further solving we can write it as:
[tex]$$\begin{aligned}& H(r)=6240\left(1+\frac{r}{100}\right)^t \\& \left(\frac{H(r)}{6240}\right)^{1 / t}=\left(1+\frac{r}{100}\right) \\& \left(\frac{H(r)}{6240}\right)^{1 / t}-1=\frac{r}{100} \\& r=100\left[\left(\frac{H(r)}{6240}\right)^{1 / t}-1\right]\end{aligned}$$[/tex]
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12y-2x=12 i need helpppp
Answer:
[tex]y=\frac{1}{6}x + 1[/tex]
Step-by-step explanation:
12y - 2x= 12
12y= 2x + 12
/12 /12
y = 1/6x +1
A cell phone tower in a field casts a shadow of 100 ft. at the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. find the height of the tower in feet. (hint: make a drawing) a. 145 ft c. 100 ft b. 76 ft d. 135 ft
Answer: d 135 ft
Step-by-step explanation:
Draw a square with side length 7 cm
Answer:
u draw a square
Step-by-step explanation:
What is a quotient formula?
Dividend ÷ Divisor = Quotient and Remainder
When a dividend is divided by a divisor, we get the value of the quotient in the result.
The result of dividing one integer by another is the quotient. For example, in 8 ÷4 = 2, the division result is 2, hence the quotient is 2. The dividend is eight, while the divisor is four.
The derivative of a quotient is the denominator times the numerator's derivative minus the numerator times the denominator's derivative, all divided by the denominator's square, according to the Quotient Rule.
When dividing one exponential equation by another, we use this rule. We must subtract the exponent in the denominator from the exponent in the numerator using the quotient formula, but the bases must be the same.
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Adeleye buys a television set which costs $400.he pay a deposit of 30%.how much does he still have to pay
Answer:
$280
Step-by-step explanation:
30% of 400=120, 400-120=280
How do you find the distance between L1 and L2?
The distance between the lines L1 and L2 given by √293/7.
What is the minimum distance between two lines?The distance is the angular separation between any two points on one line. Eventually, the smallest distance between these lines is zero. The distance between the lines is the same length as the perpendicular between them.
Finding two locations P1 and P2 on L1 and L2 separately will help us determine the shortest path between them. We then need to project P1P2 in the direction n that is perpendicular to both L1 and L2 to arrive at the answer. To put it another way, L1 - L2 distance = COMPN (P1P2).
Let the two points be
[tex]$$\begin{aligned}& \vec{r}=\hat{1}+2 \hat{j}-4 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k}) \\& \vec{r}=3 \hat{i}+3 \hat{j}-5 \hat{k}+\mu(2 \hat{i}+3 \hat{j}+6 \hat{k})\end{aligned}$$[/tex]
These two lines pass through the points having position vectors [tex]$\overrightarrow{a_1}=\hat{i}+2 \hat{j}-4 \hat{k}$[/tex]and [tex]$\overrightarrow{a_2}=3 \hat{i}+3 \hat{j}-5 \hat{k}$[/tex] are parallel to the vector [tex]$\vec{b}=2 \hat{i}+3 \hat{j}+6 \hat{k}$[/tex]
Now, [tex]$\overrightarrow{a_2}-\overrightarrow{a_1}=3 \hat{i}+3 \hat{j}-5 \hat{k}-\hat{i}-2 \hat{j}+4 \hat{k}=2 \hat{i}+\hat{j}-\hat{k}$[/tex] and [tex]$\left(\overrightarrow{a_2}-\overrightarrow{a_1}\right) \times \vec{b}=(2 \hat{i}+\hat{j}-\hat{k}) \times(2 \hat{i}+3 \hat{j}+6 \hat{k})$[/tex]
[tex]$$\begin{aligned}& =\left|\begin{array}{ccc}\hat{i} & \hat{j} & \hat{k} \\2 & 1 & -1 \\2 & 3 & 6\end{array}\right| \\& =\hat{i}(6+3)-\hat{j}(12+2)+\hat{k}(6-2) \\& =9 \hat{i}-14 \hat{j}+4 \hat{k}\end{aligned}$$[/tex]
[tex]$$\left|\left(\overrightarrow{a_2}-\overrightarrow{a_1}\right) \times \vec{b}\right|=\sqrt{9^2+(-14)^2+4^2}=\sqrt{81+196+16}=\sqrt{293}$$\pi[/tex]
and [tex]$|\vec{b}|=\sqrt{2^2+3^2+6^2}=\sqrt{4+9+36}=7$[/tex]
The shortest distance between the two lines exists given by [tex]$\frac{\left|\left(\overrightarrow{\mathrm{a}_2}-\overrightarrow{\mathrm{a}_1}\right) \times \overrightarrow{\mathrm{b}}\right|}{|\overrightarrow{\mathrm{b}}|}=\frac{\sqrt{293}}{7}$[/tex]
Therefore, the distance between the lines L1 and L2 given by √293/7.
The complete question is;
Find the distance between the lines L1 and L2 given by
[tex]$$\vec{r}=\hat{1}+2 \hat{j}-4 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k}) \text { and } \vec{r}=3 \hat{i}+3 \hat{j}-5 \hat{k}+\mu(2 \hat{i}+3 \hat{j}+6 \hat{k})$$[/tex]
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What is the measurement of angle y??
Answer:
y = 154°
Step-by-step explanation:
Because angle z is a straight angle it is 180°.
26° + y = 180°
subtract 26.
y = 154°
Look at problem 3. What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing? Explain your answer.
Step-by-step explanation:
1 gallon = 3.785411784... liters
so, you can pour 3 whole liters into the container.
it you pour 4 liters, the container will overflow.
1 gallon is more than 3 liters, but less than 4 liters.
6 x 6 x 6 x 6 × 6 written in exponential form
Does (3, 3) make the equation y = –2x + 3 true?
yes
no
Answer:
yes
Step-by-step explanation:
replace both x and y in the equation with 3 and solve, you will get 3=3 so its true
Answer:
No
Step-by-step explanation: x y
First thing you have to do is plug y in for y. (3,3)
y= -2x+3
3= 2x+3
Then plug in x for x.
3 = -2(3) +3
Then solve the problem.
3= -6+3
3 = -3
From there we can tell that negative 3 is not the same as positive 3. Another thing you can do is go to desmos graphing calculator and type the equation in and see where the point (3,3) is located and notice that it does not go through the line from the equation.
Solve the system
xe^y+2e^y= 0
x² − 3x + y² = 19
please help
The solution to the system of equations is x = −2, y = ±√23.
What is equation?Equation is a math statement that expresses two expressions with an equal sign. It is used to find the value of an unknown variable or unknowns. Equations are used in many branches of mathematics and science. For example, equations are used to calculate the force of gravity, the speed of light, the temperature of a gas, and the area of a triangle. Equations are also used to solve problems in physics, chemistry, engineering, and other disciplines. Equations are written in symbols and often involve multiple equations.
This system can be solved by solving the two equations separately.
For the first equation, xe^y+2e^y= 0, we can rearrange it to get xe^y = −2e^y. We can then divide both sides by e^y to get x = −2.
For the second equation, x² − 3x + y² = 19, we can plug in the value of x that we found previously, x = −2, and rearrange the equation to get y² = 23, and then solve for y by taking the square root of both sides, giving y = ±√23.
Therefore, the solution to the system of equations is x = −2, y = ±√23.
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HELPPPPPPP
Robert pays for his family to go to the fair. He pays an initial entrance fee and an additional cost per ride as shown on the graph.
your answer is in given picture just go through them
1. What set of and y creates the Pythagorean triple 12, 35, and 37? Use the polynomial identity (z² + y²)² = (x² - y²)² + (2xy)².
x = 2 and y = 6
x = 5 and y = 2
x= 6 and y = 1
x = 4 and y = 3
PLEASE ITS DUE
Answer:
(c) x = 6 and y = 1
Step-by-step explanation:
You want to know the values of x and y that make the set {2xy, x²-y², x²+y²} equal to the set {12, 35, 37}.
CluesThere are two clues that help you here:
The even number is 12, so 12 = 2xy, meaning xy = 6. There is only one answer choice that has a product of 6: x=6, y=1.The difference between (x²+y²) and (x²-y²) is 2y². The corresponding difference between the two odd numbers is 37-35 = 2, so 2y²=2, meaning y=1. There is only one answer choice like that: x=6, y=1.The values of x and y are (x, y) = (6, 1).