Write in the missing angle measures of WXYZ and then find the sum of the interior angles.
Answers
Answer:
X = 50
Z = 50
W = 130
Y = 130
Sum of Interior Angles: 360 degrees
Step-by-step explanation:
We can infer from the diagram, X = 50, therefore Z must be as well. W is congruent to Y, so 260 / 2 = 130. Quadrilateral is equal to 360 degrees.
Related Questions
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
(a)
Compute the z-score corresponding to the individual who obtained miles per gallon. Interpret this result.
(b)
Determine the quartiles.
(c)
Compute and interpret the interquartile range, IQR.
(d)
Determine the lower and upper fences. Are there any outliers?
LOADING... Click the icon to view the data.
Answers
The table is given as,
Z- Score -0.299
Q₁ 36.47
Q₂ 38.45
Q₃ 41.2
IQR 4.25
Lower fourth 30.375
Upper fourth 47.375
What is z- score?An illustration of a standardised score is the z-score. A z-score calculates how far a data point deviates from the distribution's mean by standard deviation.
Given:
Sample Data = 31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7, 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3
(a) The value of z-score is calculated as follows,
μ =[tex]\sum_{i=1}^n X_i[/tex]/ n = 933.1 /24 = 38.88
σ = 3.61
z = X - μ / σ
= 37.8 - 38.88/3.61
= − 0.299
Therefore, the value of z-score is -0.299.
(b) Quartile:
Recalling the values: 31.5, 36, 37.8 ,38.5, 40.1 ,42.2, 34.2 ,36.2, 38.1, 38.7, 40.6 ,42.5, 34.7, 37.3 ,38.2, 39.5 ,41.4, 43.4, 35.6, 37.6 ,38.4 ,39.6 ,41.7, 49.3
Q₁ = ( n+1/4)th value
= (24+1/4)th value
= 6.25th value
= 36.2 + 0.25 x ( 37.3 − 36.2 )
= 36.47
and, M = ( n+1/2)th value
= (24+1/2)th value
= (24+1/4)th value
= 12.5 t h
= 38.4 + 38.5/2
= 38.45
Q₃ = 3( n+1/4)th value
= 3(24+1/4)th value
= 18.75 t h v a l u e
= 40.6 + 0.75 x ( 41.4 − 40.6 )
= 41.2
(c) Interquartile range = Q ₃ − Q ₁
= 41.2 − 36.47
= 4.25
Therefore, the IQR value is measure of spread of data, and here the value of IQR = 4.25.
(d) Lower fences = Q₁− 1.5 ( I Q R )
= 36.75 − 1.5 ( 4.25 )
= 30.375
Upper fences = Q ₃+1.5
= 41 + 1.5( 4.25 )
= 47.375
Hence, there is outliers since observations are not less than 30.375 and greater than 47.375.
Learn more about z score here
https://brainly.com/question/15016913
#SPJ1
discuss four contribution of the slave trade positive and negative effect
Answers
According to Eltis, the Atlantic economy became more beneficial to slavery as a result of the rising demand for commodities that could be produced at a low cost by slaves, such as sugar, coffee, tobacco, and cotton textiles.
What benefit did the slave trade provide? According to Eltis, the Atlantic economy became more beneficial to slavery as a result of the rising demand for commodities that could be produced at a low cost by slaves, such as sugar, coffee, tobacco, and cotton textiles.Afric a's impact of slavery.Competitors absorbed competitor states, destroying them utterly and decimating their populations.Towns and villages were depopulated, and millions of Africans were forcibly uprooted from their homes.During the slaving battles, many Africans died or remained in slavery in their native continent.The findings support the historical evidence by showing that the repercussions of the slave trades are seen in ethnic fragmentation, weakened governments, and a deterioration in the standard of domestic institutions.
To learn more about trade positive refer
https://brainly.com/question/15115779
#SPJ1
Find the distance between the following numbers on the real number line
a=-11, b=1
Answers
Answer:
Step-by-step explanation:
12.
1+|-11|=12
lol
There are 544 calories in eight ounces of a certain ice cream. How many calories are there in three pounds? 1
Answers
Answer:
Below
Step-by-step explanation:
Each pound has two 8 oz servings so three pounds is 6 servings
6 x 544 =3264 cal
You purchase 200 shares for $70 a share ($14,000), and after a year the price falls to $80. Calculate the percentage return on your investment if you bought the stock on margin and the margin requirement was (ignore commissions, dividends, and interest expense): 20 percent
Answers
Answer: First, calculate the total value of the shares after the price fall to $80:
value = 200 shares * $80/share = $16,000
Then, calculate the amount of money borrowed:
borrowed = $14,000 / (1 - margin requirement)
= $14,000 / (1 - 0.20)
= $14,000 / 0.80
= $17,500
Finally, calculate the percentage return on investment:
return = (value - borrowed) / borrowed * 100%
= ($16,000 - $17,500) / $17,500 * 100%
= -6.06%
The return on investment is -6.06%, meaning that the investment lost 6.06% of its value.
Step-by-step explanation:
) Write a system of equations to describe the situation below, solve using substitution, and
fill in the blanks.
D) Quinn has $625 in his retirement account, and Ryan has $627 in his. Quinn is adding $12
per day, whereas Ryan is contributing $10 per day. Eventually, the two accounts will contain
the same amount. What balance will each account have? How long will that take?
(0) Quinn and Ryan will each have a retirement account balance of $
days.
after
Answers
On solving the provided question, we can say that equation for Quinn = > 625 + 12x and equation for Ryan => 627 - 10x.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
Quinn has $625 in his retirement account, and Ryan has $627
Quinn is adding $12 per day
equation for Quinn = > 625 + 12x, x is no. of days
Ryan is contributing $10 per day
equation for Ryan => 627 - 10x, x is no. of days
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Please help ASAP
Find the area of the rectangle
What is the area of the rectangle?
Answers
The area of the rectangle is given by the equation A = ( 9x² - 64 ) yards²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the equation will be
Let the width of the rectangle be W = ( 3x - 8 ) yards
Let the length of the rectangle be L = ( 3x + 8 ) yards
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of Rectangle = ( 3x - 8 ) ( 3x + 8 )
On simplifying the equation , we get
Area of Rectangle = ( 3x )² - ( 8 )²
Area of rectangle A = ( 9x² - 64 ) yards²
Hence , the area of the rectangle is ( 9x² - 64 ) yards²
To learn more about area of rectangle click :
https://brainly.com/question/15225905
#SPJ1
If the test scores of a class of 36 students have a mean of 73.1 and the test scores of another class of 28 students have a mean of 67.4, then the mean of the combined group is
Answers
The mean of the combined group can be calculated as follows:
Calculate the total sum of test scores of both classes:
Class 1: 36 students * 73.1 mean = 2631.6
Class 2: 28 students * 67.4 mean = 1888.32
Total: 2631.6 + 1888.32 = 4519.92
Calculate the total number of students:
Total students = 36 + 28 = 64
Divide the total sum of test scores by the number of students to find the mean:
Mean = 4519.92 / 64 = 70.9375.
Therefore, the mean of the combined group of 64 students is 70.9375.
581 divided by 8 with remainder
Answers
Answer:
581 divided by 8 should be 72 with a remainder of 5
Step-by-step explanation:
to check if i was correct i did 72 times 8 plus 5 and got 581
Ergonomics Supply Inc., a wholesaler of office products, was organized on July 1 of the current year, with an authorization of 100,000 shares of 2% preferred stock, $40 par and 300,000 shares of $25 par common stock. The following selected transactions were completed during the first year of operations:
Answers
The journal entry for the issuing of 1, 000 shares of common stock as payment for legal fees is:
Date Account title Debit Credit
July 1 Organizational expenses $ 25, 000
Common stock $ 25, 000
How to record the transaction ?The first thing to do is to find the par value of the common stock that was exchanged. This amount is :
= 1, 000 x 25
= $ 25, 000
This amount will be debited to organizational expenses because expenses are debited when incurred. This same amount is to be credited to common stock to show that the attorney is now a shareholder in the firm.
Find out more on journalizing transactions at https://brainly.com/question/17201601
#SPJ1
The question is:
Jul. 1. Issued 1,000 shares of common stock at par to an attorney in payment of legal fees for organizing the corporation.
Graph 2, 1, and –1 on the number line.
Answers
Answer: 2 would be on the 3rd number on the number line, 1 would be before that, and negative one is 1 below 0 means it would be the one in between -2 and 0. Have a nice day ;)
The expression (5y + 2)(y - 3) is equivalent to:
Answers
The first question is about algebra with two variables. To calculate the algebra, sum up all the same variable and count the value.
We have an mathematical expression: (5y + 2)(y - 3).
Find the equivalent value!
The equivalent value is
= (5y + 2)(y - 3)
= 5y² + (-15y) + 2y - 6
= 5y² - 13y - 6
The expression of (5y + 2)(y - 3) is equivalent to 5y² - 13y - 6.
The second question is about length in coordinate plane. The following is the formula for the length in coordinate plane.
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
A line segment with endpoints (-6, 2) and (3, 1).
Find the length!
From the endpoints, we have
x₁ = -6y₁ = 2x₂ = 3y₂ = 1The length is
d = √[(3 - (-6))² + (1 - 2)²]
d = √[9² + (-1)²]
d = √[81 + 1]
d = √82
Hence,
The equivalent value is 5y² - 13y - 6.The line segment has a length of √82.Learn more about algebra here:
brainly.com/question/30430902
#SPJ1
I need help with this
Answers
And for 2012 t=12
P(t)=85400
In a random sample of 80 Americans, 36 wished that they were rich. In a random sample of 90 Europeans, 49 wished that they were rich. At α = 0.01, is there a difference in the proportions? Find the 99% confidence interval for the difference of the two proportions.
Answers
The difference between the percentage of Americans who want to be rich and the percentage of Europeans who want to be rich, according to our 95% confidence level, is between (-0.078, -0.101).
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
In statistics, confidence is another word for probability.
Given In a random sample of 80 Americans, 36 wished that they were rich. In a random sample of 90 Europeans, 49 wished that they were rich.
Let p₁ = probability of Americans wanting to rich
p₂ = probability of Europeans wanting to rich
p₁ = 36/80 = 0.45
p₂ = 49/90 = 0.54
so CI = (p₁ - p₂) ± z₁(p₁p₂/n₁ + p₁p₂/n₂)
CI = (0.45 - 0.54) ± 1.96(0.0236)(0.243)
CI = -0.09 ± 0.0112
(-0.078, -0.101)
Hence the difference of the two proportions is between (-0.078, -0.101).
Learn more about confidence interval;
https://brainly.com/question/28280095
#SPJ1
Which inequality represents the graph?
Answers
The inequality that represents the graph is option D: 13x - 3y - 14 < 0.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The x-intercept is a = 1.077
The y-intercept is b = -4.677
The equation of line having x-intercept a and y-intercept b is -
x/a + y/b = 1
The equation of line having x-intercept 1.077 and y-intercept -4.677 is -
x/1.077 + y/-4.677 = 1
y/-4.677 = 1 - x/1.077
y = (1 - x/1.077)-4.677
y = -4.677 + 4.677x/1.077
y = -4.677 + 4.342x
Multiply both sides by 3 -
3y = 3(-4.677 + 4.342x)
3y = -14.031 + 13.026x
Now, the line 3y = -14.031 + 13.026x divide the xy-plane in two regions and the region given in the graph is satisfied by the origin.
Also, the line 3y = 14.031 + 13.026x is dotted and not dark ,therefore, the points on the line are not included in the shaded region.
Therefore, the inequality that represents the shaded region is -
0 > - 3y - 14.031 + 13.026x ≈ 13x - 3y - 14 < 0
To learn more about inequality from the given link
https://brainly.com/question/11234618
#SPJ1
HELPP!!!!!!!!!!
ASAPPP
Answers
Based on each given parallelogram, the correct answers are:
x = 9; y = 15m = 4; n = 10d = 126; z = 28unable to answer (not complete screenshot)∠B = 129°∠N = 85°LM = 13MN = 8.07LP = 7MQ = 16.4∠LMN = 80°∠NQL = 80°∠MNQ = 100°∠LMQ = 29°Let's try to solve each parallelogram problems
1. In paralellogram, each parallel sides have equal lengths; then:
x // 9; then x = 9
y // 15; then y = 15
2. In paralellogram, each parallel sides have equal lengths; then:
m + 1 // 5; then m + 1 = 5
m = 4
n // 10; then n = 10
3. In paralellogram, each parallel sides have equal lengths; then:
z - 8 // 20; then z - 8 = 20
z = 28
Opposite angles share the same size; then:
d - 21 = 105
d = 126
4. Uncomplete screenshot
5. In parallelogram, adjacent angles is supplementary to each other; then:
∠A + ∠B = 180°
51 + ∠B = 180°
∠B = 129°
6. In parallelogram, adjacent angles is supplementary to each other; then:
∠M + ∠N = 180°
95 + ∠N = 180°
∠N = 85°
In the given parallelogram LMNQ, the length of MP is 8.2 and PN is 7. Angle ∠MQN is 29° and ∠MLQ is 100°.
7. LM can be calculated by focusing on triangle MLQ. Under the Sinus Law, we can find that:
LM / sin LQM = MQ / sin MLQ
MQ is one of the parallelogram diagonal. MP is the mid point, then MQ is twice of MP.
MQ = 2(8.2) = 16.4
∠MLQ = 100°
∠LQN = 180° - 100°
∠LQN = 80°
∠LQN = ∠LQM + ∠MQN
80° = ∠LQM + 29°
∠LQM = 51°
LM / sin 51 = 16.4 / sin 100
LM / 0.78 = 16.4 / 0.98
LM = 12.9 = 13
8. LQ is parallel with MN; then they share the same length.
LQ = MN
MN can be calculated by focusing on triangle QMN. Under the Sinus Law:
MN / sin MQN = MQ / sin MNQ
∠MNQ is the opposite angle of ∠LMQ, then ∠MNQ = ∠LMQ = 100
MN / sin 29 = 16.4 / sin 100
MN = 8.07
9. LP = PN = 7
10. MQ = 2 x MP
MQ = 2(8.2)
MQ = 16.4
11. ∠LMN = ∠LQN = 80°
12. ∠NQL = 80°
13. ∠MNQ = ∠MLQ = 100°
14. ∠LMQ is the alternate interior angle of ∠MQN; then ∠LMQ = ∠MQN = 29°
Learn more about Parallelogram here: brainly.com/question/2914715156
#SPJ1
Match the following terms with the correct definitions
Answers
Answer: The space inside a figure -- Area
The sum of all sides in a figure -- Perimeter
The distance vertically in a triangle -- Height
The distance horizontally in a triangle -- Base
Please help ASAP
Find the area of the rectangle
use a table to find the product of (3x+4)(x^2+3x-2) how are the terns in the table arranged m
Answers
Answer:
3x²+9x²-6x and add this
4x²+12x-8
Kindly, find the solution on the attachment.
Degrees and Radians
any steps.
Answers
A coterminal angle is an angle that has the same initial point as another angle but has a different measure.
What is coterminal angle?A coterminal angle is an angle that has a different measure in degrees from another angle but the same initial point and direction. It is an angle that is similar to another angle in orientation but may be different in size. Coterminal angles are significant in trigonometry and have numerous uses in physics, engineering, and mathematics.
Angles are frequently measured in degrees in mathematics, and they can have a value between 0 and 360. It's crucial to remember that different measures might be assigned to the same angle based on the starting and finishing points. For instance, a 90-degree angle is one that begins at the positive x-axis and ends at the positive y-axis. Additionally, the same angle can be expressed as 450 degrees, -90 degrees, and so forth. These angles are all regarded as coterminal angles.
According to question:
1. Find a coterminal angle between 0 and 360:
a) -330 degrees: 330 + 360 = 690, or -330 + 360 * 2 = 360
b) -4350 degrees: 4350 + 360 * 12 = 180
c) 640 degrees: 640
d) -4420 degrees: 4420 + 360 * 12 = 280
2. Find a coterminal angle between 0 and 27:
a) 35TC: 35TC modulo 27 = 35 % 27 = 8
b) 12 MARX: not a valid angle
c) 18 degrees: 18
d) 14 34: not a valid angle
e) 13 x 1ST: not a valid angle
3. Find a positive and a negative coterminal angle for each given angle:
a) 257 degrees: 257, -103
b) 15 74: 74, 15 + 360 = 375, -285
c) 36 degrees: 36, -324
d) 12 degrees: 12, -348
To know more about coterminal angle visit:
https://brainly.com/question/29595158
#SPJ1
Gabriella went to Tiers of Joy Bakery to buy her mom’s birthday cake. The cake was $25.52, which left Gabriella with $24.48 to spend on her mom’s present. Let a be the amount of money Gabriella had before buying the cake. Write and solve an equation to find a.
Answers
Answer: $50
Step-by-step explanation:
Let's denote the amount of money Gabriella had before buying the cake as "a". Then we can write an equation to find "a":
a - $25.52 = $24.48
Adding $25.52 to both sides:
a = $25.52 + $24.48
So,
a = $50
Therefore, Gabriella had $50 before buying the cake.
Six players on the Sluggers baseball team are pitchers. The pitchers make up 25% of the
team. How many players are on the Sluggers baseball team
Answers
Answer:
24
Step-by-step explanation:
If there are 6 pitchers on the Sluggers and they make up 25% or 1/4th of the team, you can just add 6 (1/4th) to itself to 3 more times to gett 100% or 4/4ths.
6+6+6+6 (or 6×4) is 24.
The value of log 3 5 × log 25 9 is
Answers
The value of [tex]log_35 \times log_{25}9[/tex] is 1.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]log_35 \times log_{25}9[/tex]
[tex]log_ab = \frac{logb}{loga}[/tex]
So,
= log 5 / log 3 x log 9 / log 25
= log 5 / log 3 x log 3² / log 5²
[tex]logm^n = n~logm[/tex]
So,
= log 5 / log 3 x log 3² / log 5²
= (log 5 / log 3) x (2 log 3 / 2 log 5)
= (log 5 / log 3) x (log 3 / log 5)
= 1
Thus,
1 is the value.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
How many digits do you need to number all 178 buildings on a street?
Answers
The number of digits which one would need to number all 178 buildings on a street is 426 numbers.
What is a Digit?This is referred to as a single symbol used alone or in combinations, to represent numbers in a positional numeral system.
1-9 = 1 × 9 = 9
10-99 = 90 × 2 = 180
100-178 = 79 × 3 = 237
The total = 9 + 180 + 237 = 426 numbers.
Read more about Digits here https://brainly.com/question/24491627
#SPJ1
Land O' Lake's average annual household income in 2021
A) ~$62,000
B) ~$84,000
C) ~$96,000
D) ~$71,000
Answers
According to statistics, Land O' Lake's 2021 average annual household income was given at $84,146. Thus, the correct answer is Option B which indicates that the amount is approximately $84,000.
What is Average Annual Household Income?Average Annual Household Income is the average amount of money earned annually by a household, calculated by dividing the total household income by the number of households. It provides a measure of the economic well-being of a particular group or population.
Average Annual Household Income is useful because it provides a broad overview of the economic well-being of a population and can be used to compare the standard of living across different regions, demographic groups, and over time. It is an important indicator of the economy's health and the distribution of wealth.
Learn more about Average Annual Household Income:
https://brainly.com/question/17100688
#SPJ1
Most jobs pay you per day.
A) True
B) False
Answers
Answer:
B) False
In most job, you will get paid on a weekly basis, usually on a Friday.
Step-by-step explanation:
Hope it helps! =D
Question
Each side of the base of a square pyramid measures 10 inches. The height of each lateral face of the pyramid is also 10 inches.
What is the surface area of the pyramid?
Enter your answer in the box.
in²
Answers
The surface area of the pyramid that has these measures is given as 300 inches square
How to solve for the surface area of the pyramidThe surface area of a square pyramid is the sum of the area of the base and the areas of the lateral faces.
The area of the base of the square pyramid is given by the formula for the area of a square:
A = s^2, where s is the length of one side of the square.
In this case, each side of the base measures 10 inches, so the area of the base is:
A = 10^2 = 100 square inches.
The lateral faces of the pyramid are triangles, and the surface area of each lateral face can be found using the formula:
A = (1/2)bh, where b is the length of the base and h is the height.
In this case, the height of each lateral face is 10 inches, and the base is a side of the square base, which measures 10 inches.
So the surface area of each lateral face is:
A = (1/2)(10)(10) = 50 square inches.
Since there are 4 lateral faces on a square pyramid, the total surface area of the lateral faces is 4 * 50 = 200 square inches.
Finally, the surface area of the pyramid is the sum of the surface area of the base and the lateral faces:
A = 100 + 200 = 300 square inches.
Read more on surface area of a pyramid here:
https://brainly.com/question/22744289
#SPJ1
Answer:
180 hope this helps!
Step-by-step explanation:
a parcel can be sent by a frieghter at a cost of MVR 20 per kg .The same parcel can be sent by cargo boat at a cost of MVR 280 per parcel . If the weight of the parcel is 13kg,which option is cheaper ti choose ?
Answers
The better option to choose is MVR 20 per kg
How to find the weight of the parcel?A parcel can be sent by a freighter at a cost of MVR 20 per kg . The same parcel can be sent by cargo boat at a cost of MVR 280 per parcel .
The weight of the parcel is 13 kg. Let's find the better options as follows:
Therefore, let's convert
Hence, the cost of using cargo boat is MVR 280 per parcel.
Recall
1 parcel = 13 kg
This means the cargo ship cost MVR 280 for 13 kilograms of the goods.
Therefore, the better option is the cost of MVR 20 per kg .
learn more on weight here: https://brainly.com/question/28983595
#SPJ1
Carry your intermediate computations
to at least four decimal places, and round your answer to at least one decimal place.
Answers
The mean of the histogram is 904.8
How to determine the mean of the histogramThe mean of the histogram is calculated as
Mean = Sum of the product of carrying load and frequency/Sum of frequency
Using the above as a guide, we have the following:
Mean = (870 * 5 + 890 * 7 + 910 * 8 + 930 * 4 + 950 * 3)/(5 + 7 + 8 + 4 + 3)
Evaluate
Mean = 904.8
Hence, the mean is 904.8
Read more about mean at
https://brainly.com/question/14532771
#SPJ1
Which of the following functions is most likely to have the smallest value for y if x is large? (Assume k is positive.) a. a direct variation function with a small value for k c. an inverse variation function with a small value for k b. a direct variation function with a large value for k d. an inverse variation function with a large value for k
Answers
An inverse variation function with a small value for k. Therefore, option C is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The association between x and y can be classified in two ways, as follows:
Direct proportional: when the input x increases, the output y also increases.
Inverse proportional: when the input x increases, the output y decreases.
For this problem, we need an inverse proportional function, that has the following format:
y = k/x.
The lower the value of k, the lower the value of y when x goes to infinity.
Therefore, option C is the correct answer.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ1
Use the graph or table to find the equation that represents the relationship.
Answers
The equations that represent each line are, respectively:
y = - 3 · x + 5 y = x - 4 y = 2 · x - 1 y = (4 / 5) · x - 4How to determine the equations of the line
According to Euclidean geometry, we can generate any line from two distinct points on a plane. Herein we find two tables and two Cartesian representations of the lines, of which we must construct the corresponding line equations, whose definition is shown below:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.The slope can be found by secant line formula:
m = Δy / Δx
Now we proceed to determine each equation of the line:
Case 1
Slope
m = [- 34 - (- 10)] / (13 - 5)
m = - 24 / 8
m = - 3
Intercept
b = y - m · x
b = - 10 - (- 3) · 5
b = - 10 + 15
b = 5
Equation of the line
y = - 3 · x + 5
Case 2
Slope
m = [- 3 - (- 11)] / [1 - (- 7)]
m = 8 / 8
m = 1
Intercept
b = y - m · x
b = 3 - 1 · 7
b = 3 - 7
b = - 4
Equation of the line
y = x - 4
Case 3
Slope
m = [0 - (- 1)] / (0.5 - 0)
m = 2
Intercept
b = y - m · x
b = - 1 - 2 · 0
b = - 1
Equation of the line
y = 2 · x - 1
Case 4
Slope
m = [0 - (- 4)] / (5 - 0)
m = 4 / 5
Intercept
b = y - m · x
b = - 4 - (4 / 5) · 0
b = - 4
Equation of the line
y = (4 / 5) · x - 4
To learn more on equations of the line: https://brainly.com/question/29774095
#SPJ1