A division problem that would lead to a division remainder of 400 is 2, 400 ÷ 500.
How to find the division problem ?You need to find a division problem where the quotient would be such that there would be a remainder of 400.
In that case, the first thing to do is to ensure that the divisor is greater than 400. If it is less, then the remainder cannot be 400.
We can the pick the next hundred after 400 which would be 500. Then, we need to find a number that when divided by 500, would result in 400 as a remainder.
This can be 900, 1, 400, 1, 900, 2, 400 etcetera.
The trick is to ensure that the number is 400 more than a multiple of 500.
Picking 2, 400, the division is therefore:
= 2, 400 ÷ 500
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Hallie completes 1 lap around the track every 90
seconds. Based on the information, what is her
running speed, in meters per hour?
Answer:
40 meters per hour.
Step-by-step explanation:
How many seconds are in an hour? 3600. Divide 3600 by 90 to get 40.
A positive integer is 1 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 2, then find the two integers.
The two integers are 1 and 2.
What do you mean by Integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Integer is a Latin word which means 'whole' or 'intact'. This means integers do not include fractions or decimals.
A number is positive if it is greater than zero, so they are positive integer.
A number is negative if it is less than zero, so they are negative integer.
A number line is a visual representation of numbers on a straight line. This line is used for comparison of numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally.
Given:
x be a positive number
x + 1 = y
The sum of reciprocal of the smaller and twice the reciprocal of the larger number
Substitute
[tex]\frac{1}{x} + \frac{2}{y} = 2[/tex]
[tex]\frac{1}{x} + \frac{2}{x + 1} = 2[/tex]
[tex]\frac{x+ 1 + 2x}{x(x +1)} = 2[/tex]
[tex]x + 1 + 2x = 2x^2 + 2x[/tex]
Subtracting 2x on both sides, we get
x + 1 + 2x - 2x = 2x² + 2x - 2x
x + 1 = 2x²
2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x(x - 1) + 1(x - 1) = 0
(2x + 1)(x - 1) = 0
x = -1/2 and x = 1
But x = -1/2 is not possible. Becuase x is a positive number.
So, x = 1
y = x + 1
y = 2
The two integers are 1 and 2.
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How many solutions does the system of equations have? y = −7/2 x + 11 7x + 2y = 20
1 solution no solution infinitely many solutions cannot be determined
Answer:
Step-by-step explanation:
To find the number of solutions for a system of linear equations, we can use the method of substitution or elimination. Here, we'll use the method of substitution.
We'll start by solving for x in one of the equations and then substitute that expression into the other equation. If the resulting equation has a unique solution, then the system has a unique solution. If the resulting equation has no solution, then the system has no solution. If the resulting equation has infinitely many solutions, then the system has infinitely many solutions.
Let's start by solving the first equation for x:
y = -7/2 x + 11
To solve for x, we'll isolate x by subtracting 11 from both sides of the equation:
y - 11 = -7/2 x + 11 - 11
y - 11 = -7/2 x
Next, we'll multiply both sides of the equation by -2/7 to cancel out the fraction on the right side:
-2/7 (y - 11) = -2/7 (-7/2 x)
-2/7 y + 22/7 = 7/2 x
Now, we have an expression for x in terms of y. We can substitute this expression into the second equation:
7x + 2y = 20
7 (-2/7 y + 22/7) + 2y = 20
Substituting -2/7 y + 22/7 for x, we get:
7 (-2/7 y + 22/7) + 2y = 20
Expanding the left side of the equation, we get:
-2y + 22 + 2y = 20
0y = -2
Since 0y is never equal to -2, this equation has no solution.
Therefore, the system of equations has no solution, and there are no values of x and y that satisfy both equations simultaneously.
So, the system of equations y = -7/2 x + 11 and 7x + 2y = 20 has no solutions.
Make T the subject of the relation T=1/p+1/Q
Answer: T=Q/p+1
Step-by-step explanation:
Rearrange
Dora is flying a kite at the park on a windy day. Juan is standing directly below the kite and is 77 feet away from Dora. If the kite forms a 80-degree angle with the ground, how high is the kite flying?
(Please use the exact ratio to calculate the missing side and round
your answer to the nearest hundredth.)
The kite is flying approximately 76.118 feet high.
What is ratio ?
Ratio can be defined as the given value divided by the total value.
We can use trigonometry to solve this problem.
Let's call the height of the kite h. Then, we have a right triangle, with one angle equal to 80 degrees and the adjacent side equal to 77 feet. We can use the sine function to find the height of the kite:
sin(80) = h/77
So, h = 77 * sin(80).
Using a scientific calculator or a trigonometry table, we can find the value of sin(80) to be approximately 0.98
Therefore, the height of the kite is:
h = 77 * 0.98 = 76.11
Hence, The kite is flying approximately 76.118 feet high.
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I need answer please thanks
The total amount of the single payment will be $6,924.95.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The rate of interest is given as,
r = 0.0775 / 2
r = 0.03875
The amount for 2 years is given as,
A = $1,300 × (1 + 0.03875)⁴
A = $1513.52
The amount for 5 years is given as,
A = $3,700 × (1 + 0.03875)¹⁰
A = $5,411.43
The total amount of repayment is given as,
Total amount = $1513.52 + $5411.43
Total amount = $6,924.95
The total amount of the single payment will be $6,924.95.
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6. The third row of a stem-and-leaf chart appears as follows: 21 | 0 1 3 5 7 9. Assume whole
number values.
a. What is the "possible range" of the values in this row?
b. How many data values are in this row?
c. List the actual values in this row of data.
a. The possible range of values in this row is from 210 to 219, inclusive.
To see why, note that the stem value is 21, so each leaf represents a number that should be added to 21. The smallest possible value is when the leaf is 0, which gives 21 + 0 = 210. The largest possible value is when the leaf is 9, which gives 21 + 9 = 219.
b. There are 6 data values in this row.
c. The actual values in this row are 210, 211, 213, 215, 217, 219.
What is leaf?In statistics, a leaf is the last digit or digits of a data point in a stem-and-leaf plot. A stem-and-leaf plot is a graphical display of data that shows the distribution of values by separating each value into two parts: a stem, which consists of the leading digits of the value, and a leaf, which consists of the final digit or digits of the value. The stem values are listed in a vertical column, and the leaves are listed in a row next to the corresponding stem. This type of plot allows us to see the shape of the data and the distribution of values within it.
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Help me find the area of the regular polygon!!
The area of the polygon is 6x√3 / 3 units².
How to find the area of a polygon?The polygon above is a triangle. The polygon has three sides. Therefore, the area of the polygon can be calculated as follows:
area of the polygon = 1 / 2 pa
where
a = apothemp = perimeter of the polygonTherefore, the perimeter of the polygon is the sum of the whole sides. The sides of the polygon is the same. Hence, the perimeter is 3x.
where
x = side of the polygonarea of the polygon = 1 / 2 × 3x × 4√3 / 3
Hence,
area of the polygon = 3 / 2 x × 4√3 / 3
area of the polygon = 6x√3 / 3 units²
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Mr. Kelso went shopping for school supplies. He purchased white boards for $0.79 each, sharpies for $1.56 each and glue sticks for $0.85 each and spent a total of $91.92. If he purchased five times the number of white boards as glue sticks and 10 more sharpies than glue sticks, how many of each item did he purchase?
Help please!
Answer:
Let's call the number of white boards that Mr. Kelso purchased "W", the number of sharpies "S", and the number of glue sticks "G". We know the following information:
W = 5G
S = G + 10
And we also know the total cost of the items:
0.79W + 1.56S + 0.85G = 91.92
We can use the first equation to substitute for W in the second equation:
0.79(5G) + 1.56(G + 10) + 0.85G = 91.92
Expanding and simplifying the equation:
4.95G + 1.56G + 16.6 + 0.85G = 91.92
7.36G + 16.6 = 91.92
7.36G = 75.32
G = 10.25
So Mr. Kelso purchased 10 glue sticks. Using the first equation, we can find that he purchased 5 * 10.25 = 51 white boards. And using the second equation, we can find that he purchased 10.25 + 10 = 20.25 sharpies.
Since the number of each item must be a whole number, we round up or down to the nearest integer. In this case, it would make sense to round up the number of sharpies to 21. So Mr. Kelso purchased 51 white boards, 21 sharpies, and 10 glue sticks.
5/12+1/12 112
1 over 12
1/2
1 half
1/4
1 fourth
7/12
7/12 can be written as a mixed number as follows:
7/12 = 7 ÷ 12/12 = 0 and 7/12.
So 7/12 can be expressed as "zero and seven twelfths" or simply "seven twelfths."
Which of the following measure variability? Select all that apply.
a. mean
b. median
c. range
d. variance
e. standard deviation
f. interquartile range
(c) range, (d) variance, (e) standard deviation and (f) interquartile range measure variability.
Of the options provided, the measures that assess variability are:Range, The range is the difference between the largest and smallest values in a dataset, indicating how spread out the data are.
Variance, The variance measures how far a set of numbers is spread out from their average. It provides a measure of how much the individual data points deviate from the mean.
Standard deviation, The standard deviation is the square root of the variance and is also a measure of how much the individual data points deviate from the mean. It is a widely used measure of variability, particularly in statistical analysis.
Interquartile range, The interquartile range (IQR) is the difference between the third and first quartiles of a dataset. It gives an idea of the spread of the middle 50% of the data and can help identify outliers.
The mean and median are measures of central tendency and do not directly measure variability.
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The circle graph shows the contents of one brand of peanut butter. How much protein is in 838g of peanut butter? Contents of peanut butter: 35% Carbohydrates - 25% Protein - 40% Fat
The amount of protein in Peanut butter is 209.5g.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find the amount of protein in 838g of peanut butter.
Contents of peanut butter: 35%
Carbohydrates - 25%
Protein - 40% Fat
Now 25% of protein in 838g.
25/100×838
0.25×838
209.5 g of protein in peanut butter
Hence, 209.5 g of protein in peanut butter
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What fraction of an inch is 1 millimeter? Show reasoning
The fraction of an inch in 1 millimeter is given by 1mm = 0.03937008 inches.
How to convert inch to millimeter?One inch is equivalent to 25.4 millimeters internationally.
Expressing this relationship as a formula is as follows.
1 inch = 25.4mm
This official, standardized measurement has been used in international records since 1959.
Both inches and millimeters are units of measurement. Inches belong to the British system of units, and millimeters belong to the metric system of units.
Inches are used in the United States, but it is often necessary to convert this unit of measurement to a metric unit of measurement, such as "millimeters." for scientific purposes. Conversely, there are 0.0393700787402 inches in millimeters.
Thus , the fraction of an inch in 1 millimeter is given by 1mm = 0.03937008 inches.
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GIVING BRAINLIEST
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which of the following lists the range and IQR for this data?
The range is 12, and the IQR is 5.
The range is 12, and the IQR is 10.
The range is 5, and the IQR is 12.
The range is 5, and the IQR is 10.
Answer: D Im doing the quiz
Answer:D:the range is 5, and the IQR is 10.
Step-by-step explanation:
It takes Ross traveling at 36 miles per hour 10 minutes longer to go a certain distance than it takes Maria traveling at 45 miles per hour find the distance traveled
On solving the provided question, we can say that the equation will be distance = distance 36t + 18 = 63t distance = 63t = 63(2/3) = 42 miles
What is equation?A mathematical equatiοn is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equation in algebra. Fοr instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relatiοnship between the two sentences οn either side of a letter is described by a mathematical fοrmula. Often, there is οnly one variable, which also serves as the symbοl. for instance, 2x – 4 = 2.
the equatiοn will be
distance = distance
36t + 18 = 63t
27t = 18
t = 18/27 = 2/3 hr
distance = 63t = 63(2/3) = 42 miles
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What is the solution to the equation 16^2x-3 . 4^-2x = 4^2
The solution to the equation 16^{2x - 3} · 4^{-2x} = 4^2 include the following: C. x = 4.
What are the laws of indices?In Mathematics, laws of indices can be defined as the standard principles or rules that are used for simplifying an equation or expression that involves powers (exponents) of the same base.
By rewriting the mathematical expression and applying the multiplication law of indices, we have the following:
16^{2x - 3} · 4^{-2x} = 4^2
4^2{2x - 3} · 4^{-2x} = 4^2
2{2x - 3} + {-2x} = 2
4x - 6 - 2x = 2
2x = 2 + 6
2x = 8
x = 8/2
x = 4.
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New home sales declined 0.3% in October, according to a government report released Wednesday. Despite the monthly drop, sales were still up 17% from a year earlier. New houses sold at an annual rate of 368,000 in the month, down from 369,000 in September, according to a report from the U.S. Census Bureau and the Department of Housing and Urban Development. http://money.cnn.com/2012/11/28/real_estate/new-home-sales/index.html
Find the percentage decrease from 369,000 to 368,000. Your answer should be in PERCENT FORM rounded to TWO DECIMAL PLACES. Don't forget to include the percent symbol.
The percentage decrease for the sale of the house is 0.27%.
What are the nearest two places?
The second place to the right of the decimal point, or the hundredth place, is used to round a decimal number to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.
Given that the initial cost of a home is 369,000.
The cost of a house decreases from 369,000 to 368,000.
The formula of percentage change is
(Final value - initial value)/ initial value × 100
= [(368,000 - 369,000)/369,000] × 100
= (-1000)/369,000 × 100
= 0.27
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Which of the following WAS NOT an impact of the crusades?
A. Change in culture in Europe
B. End of the Roman Empire
C. Monarchs grew more powerful
D. Many Christians were killed or badly injured
One thing that was not an impact of the Crusades was B. End of the Roman Empire.
What did the Crusades lead to ?The Crusades were a series of religious wars fought between Christians and Muslims in the 11th, 12th, and 13th centuries. The main objective of the Crusades was to recapture the Holy Land, which was considered the birthplace of Christianity, from Muslim rule.
The Crusades had a significant impact on the medieval world, but the end of the Roman Empire was not one of them. The Roman Empire ended several centuries before the start of the Crusades in the 11th century.
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4 24 18 39
What is the next number in this sequence?
The next number in this sequence is 63, which is the result of multiplying the previous number (39) by 2 and then adding 6.
Need help would be much appreciated.
a. The composite function is N(T(t)) = 290t² - 380t + 386.44
b. the number of bacteria after 5.3 hours is 6519 bacteria.
What is a function?A function is a mathematical equation that shows the relationship between two variables.
What is a composite function?A composite function is a function which contains another function.
How to find the composite function?Since the number of bacteria in a refrtgerated food product is given by N(T) = 29T² - 76T + 30 , 3 < T < 33 where T is the temperature of the food.
Also, when the food is removed from the refrigerator, the temperature is given by T(t) = 5t + 1.4 where t where t is the time in hours.
So, to find the composite function N(T(t)), we substitute T(t) into N(T).
So,
N(T) = 29T² - 76T + 30
N(T(t)) = 29(5t + 1.4)² - 76(5t + 1.4) + 30
Expanding the brackets, we have that
N(T(t)) = 29(10t² + 14 + 1.96) - 76(5t + 1.4) + 30
N(T(t)) = 290t² + 406 + 56.84 - 380t - 106.4 + 30
N(T(t)) = 290t² - 380t + 406 + 56.84 - 106.4 + 30
N(T(t)) = 290t² - 380t + 386.44
So, the function is N(T(t)) = 290t² - 380t + 386.44
b. How to find the number of bacteria after 5.3 hours?Since N(T(t)) = 290t² - 380t + 386.44 is the number of bacteria after t hours.
To find the number of bacteria after 5.3 hours, we substitute t = 5.3 into the equation.
So,
N(T(t)) = 290t² - 380t + 386.44
N(T(5.3)) = 290(5.3)² - 380(5.3) + 386.44
N(T(5.3)) = 290(28.09) - 380(5.3) + 386.44
N(T(5.3)) = 8146.1 - 2014 + 386.44
N(T(5.3)) = 6518.54
N(T(5.3)) ≅ 6519 bacteria
So, the number of bacteria after 5.3 hours is 6519 bacteria.
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The expression (ax3 + bx2 - 5x + 2a) is exactly divisible by (x2 - 3x - 4). Calculate the value of 'a' and 'b' and factorise the expression completely.
If the expression be x² - 3x - 4 then the factorize term be (x - 4)(x + 1).
What is meant by expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
If the expression, ax³ + bx² - 5x + 2a is exactly divisible by x² - 3x - 4, then it is also divisible by both x - 4 and x + 1
If f(x) = ax³ + bx² - 5x + 2a, then f(4) = f(-1) = 0 by the factor theorem.
Hence, a(4)³ + b(4)² - 5(4) + 2a = 0 and
a(-1)³ + b(-1)² - 5(-1) + 2a = 0
⇒ so, 66a + 16b = 20 and a + b = -5
33a + 8b = 10 ...(1)
a + b = -5 ...(2)
simplifying the above (1) and (2), we get
33a + 8(-5 - a) = 10
i.e. 25a - 40 = 10
so, a = 2 ⇒ b = -7
Therefore, the function be f(x) = 2x³ - 7x² - 5x + 4
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Organizar la riqueza a través de la pro-
ducción de bienes y servicios es una
característica de la empresa que se
relaciona con su
A) fin lucrativo.
B) fin mercantil.
C) fin económico.
D) responsabilidad social.
E) responsabilidad económica.
Organizar la riqueza a través de la pro- ducción de bienes y servicios es una característica de la empresa que se relaciona con su A) fin lucrativo.
What is the profit about?Las empresas tienen como objetivo principal la maximización de sus ganancias y el crecimiento económico a través de la producción y venta de bienes y servicios. La obtención de ganancias es el fin lucrativo de la empresa y es a través de él que se organiza la riqueza generada por la empresa.
Sin embargo, las empresas también tienen una serie de responsabilidades sociales y éticas, por lo que pueden combinar su fin lucrativo con una cierta responsabilidad social o económica.
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Dodi has 2 cups of liquid starch and will use the entire amount. She plans to store the slime in containers that each hold a maximum of 6 fluid ounces how many containers will she need (hint 2 cups = 16 fluid ounces
The number of containers needed is given as follows:
3 containers.
How to obtain the number of containers needed?The number of containers needed is obtained applying the proportions in the context of this problem.
She has 2 cups, hence the number of fluid ounces that she has is given as follows:
16 fluid ounces.
Each container holds a total of 6 fluid ounces, hence the number of containers needed is given as follows:
16/6 = 3 containers.
(rounding up).
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Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
1
2345
y
4
-5
-14
-23
-32
The data in the table represents a linear function, as when x is increased by one, y is subtracted by a constant amount of 9.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
For this problem, the function is classified as linear, as the difference between consecutive terms is 9, while the ratios are different.
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8.The side lengths of the smaller hexagon were increased by a factor of √2 to make the larger hexagon. If the area of the smaller hexagon is 9√3 square units, what is the area of the larger hexagon?
a. 36√3 square units
b. 18√3 square units
c. 18√6 square units
d. 9√6 square units
The area of the larger hexagon in discuss as required in the task content is; Choice B; b. 18√3 square units.
What is the area of the larger hexagon?It follows from the task content that the area of the larger hexagon be determined.
Recall from the concept of similar shapes; if the ratio of side lengths of two similar shapes is; k, therefore the ratio of their perimeters is k and the ratio of their areas is; k².
On this note, since the larger hexagon is √2 times the side length of the smaller hexagon;
It follows that the area of the lager hexagon is (√2)² times the area of the smaller one.
Therefore, Area of larger hexagon = √2² × 9√3
= 18 √3.
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What is the slope of the line that contains the points (-1, 8) and (5,-4)?
A1/2
B.-1/2
C. -2
D. 2
Answer:
Step-by-step explanation:
(-4 - 8)/(5 + 1)= -12/6 = -2
Option C
Someone help me with Quadratic Functions.
The graph of the quadratic function y = x² - 5 is given by the image presented at the end of the answer.
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The parent function is given as follows:
y = x².
Which is concave up with vertex at the origin.
The translated function is given as follows:
y = x² - 5.
Meaning that the function was translated 5 units down, hence the vertex is at (0,-5) and the roots are plus/minus square root of 5.
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help pls i will give brainliest to correct answer
The length of segment YS within the square QRST is equal to 6.
How to determine the length of a line segment within a diagonal in a square
Squares are quadrilaterals with four sides of equal length and two diagonals of equal length, in that order, diagonals QS and RT are the diagonals of square QRST. Besides, we have the following information:
VY = 13, RV = 19
The length of segment YS can be found by means of the following formula:
RV = VY + YS
YS = RV - VY
YS = 19 - 13
YS = 6
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Can someone help me in steps to simplify one of these difference quotients?
We can see here that simplifying, we have:
a. h²
b. h³
c. 1/(1 + h)
d. 3h
e. 3h/(64 + 4h)
f. h/(4h + 2h²)
What is simplification?Simplification is the process of reducing something to its most basic form or removing any unnecessary complexity.
In mathematics, simplification is often used to make equations or expressions easier to work with, solve, or understand. This can involve combining like terms, cancelling out common factors, or using rules of exponents and logarithms to simplify an expression.
We see here that the below gives us the workings:
a. (5 + h)³ - 125/ h = h³ + 5³ - 125/h = h²
b. [tex]\frac{(3 + h)^{4} - 81 }{h} =\frac{ 3^{4} + h^{4} - 81}{h} = \frac{ h^{4} + 81 - 81}{h} = h^{3}[/tex]
c. (1/1+h) - 1/h = 1/1+h - 1 ÷ h = 1/1+h
d. 3(1 + h)² -3/h = 3h² + 3 - 3/h = 3h²/h = 3h
e. [(3/4+h) - 3/4]/4 = (3/4+h - 3/4) ÷ 4 = 3h/64+4h
f. (-1 + 2 + h) + 1/2 ÷ h = h/4 + 2h × 1/h = h/4h + 2h²
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Which set of ordered pairs does NOT represent a function? Responses A (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9) B (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8) C (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2,5) D (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2) E (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4) PLEASE HELP and please dont give me a answer id you really dont know.
The set of ordered pairs of option A does not represent a function. The solution has been obtained using the properties of function.
What is a function?
A relationship between a number of inputs and one output per input is referred to as a function. Typically, a function is denoted by the notation f(x), where x is the input. Typically, a function is represented as y = f(x).
We know that for one input, a function can have only one output.
But, in option A, for the same input value 2, there are two output values 2 and 7. Whereas in other options, each input has only one output.
Hence, the set of ordered pairs of option A does not represent a function.
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