Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home. After 15 minutes he is 2 miles from home. Which equation models Ye's distance from home, y, in terms of minutes, x?

A. y = 5x - 0.2
B. y = 11/7x - 27/7
C. y = 0.2x
D. y = -0.2x + 5

Please show work.

Answers

Answer 1

The required equation for the given case is obtained as y = -0.2x + 5.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given problem can be solved as follows,

The general form of slope-intercept equation for a line is y = mx + c.    

From the given data the slope can be calculated as,

m = Difference of miles ÷ Difference of minutes  

   = (2 - 4) ÷ (15 - 5) = -1/5

Now, substitute m = -1/5 in y = mx + c to obtain,

y = -1/5x + c

Substitute y = 4 and x = 5 to get,

4 = -1/5 × 5 + c

=> c = 5

Thus, the required equation becomes as y = -1/5x + 5 or y = -0.2x + 5.

Hence, the equation that models Ye's distance from home, y, in terms of minutes, x is given as  y = -0.2x + 5.

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Related Questions

If you are looking for a braniliest, if you get this right I will give one.

The question is, what app always says “gg”or “:)”

Answers

Answer:

amoung us

Step-by-step explanation:

Answer:

among us

Step-by-step explanation:

A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed that: What is the probability that a designer does not prefer red? 1.00 0.77 0.73 0.23

Answers

The probability that a designer does not prefer red is 0.77.

Define the meaning of the term probability?Probability is synonymous with possibility. It is a mathematical branch that deals with both the occurrence of something like a random event. The value varies from 0 to one. Probability has just been introduced in mathematics to predict the likelihood of occurrences occurring.

Probability (event) = favorable outcome / total outcome

Total primary color designers = 400.

The number of opinions for red = 92

The probability for designer prefer red = 92 /100

The probability for designer prefer red = 0.23

Then, the probability that a designer does not prefer red = 1 - 0.23

The probability that a designer does not prefer red = 0.77

Thus, the probability that a designer does not prefer red color = 0.77.

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The correct question along with table is attached-

A study of interior designers' opinions with respect to the most desirable primary color for executive

What is (6×90180) ÷ ( 4÷6×2)?​

Answers

Answer: 405810

Step-by-step explanation:

Math

Answer:

608,715

Step-by-step explanation:

I used a calculator

is xy = 15 linear or non linear function

Answers

hi love ! it would be linear.

10 is 32% of what number?

a. ; 32
b. ; 31.25
c. ; 3.2
d. ; 312.5

Answers

ANSWER:

31.25

STEP-BY-EXPLANATION:

you take 32 percent of a number and get 10, then what is that number?

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:

you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:31.25

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

Answer:

b. 31.25

Step-by-step explanation:

\(\frac{10}{y} :\frac{32}{100}\)

y × 32 = 10 × 100

32y = 1000

32y ÷ 32 = 1000 ÷ 32

y = 31.25

Order -3, 5, -10, 16 from least to greatest. then order the same numbers from closest to zero to farthest from zero. next, describe how your lists are similar to each other. please answer the last part cause we are in need of help plllllllllllllllllleeeeeeeeeeeeeaaaaaaaaaaaaaaase.please thank you

Answers

The similarity lies in the fact that both lists contain the same set of numbers, but their order is determined by different criteria - one based on magnitude and the other based on distance from zero.

Let's order the numbers -3, 5, -10, and 16 as requested.

From least to greatest:

-10, -3, 5, 16

The ordered list from least to greatest is: -10, -3, 5, 16.

Now let's order the same numbers from closest to zero to farthest from zero:

-3, 5, -10, 16

The ordered list from closest to zero to farthest from zero is: -3, 5, -10, 16.

Regarding the similarity between the two lists, both lists contain the same set of numbers: -3, 5, -10, and 16. However, the ordering criteria are different in each case. In the first list, we order the numbers based on their magnitudes, whereas in the second list, we order them based on their distances from zero.

By comparing the two lists, we can observe that the ordering changes since the criteria differ. In the first list, the number -10 appears first because it has the smallest magnitude, while in the second list, -3 appears first because it is closest to zero.

Overall, the similarity lies in the fact that both lists contain the same set of numbers, but their order is determined by different criteria - one based on magnitude and the other based on distance from zero.

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The points are going up so the graph is______

Answers

increasing! hope this helped!

Answer:

increasing

plz let me know if this is not the answer you are looking for!!!

What is the variable expression that represents the word phrase.
The product of 2 and x is increased by 7

Answers

Answer:

2x + 7

Step-by-step explanation:

The product of 2 and x

Product means multiplication

The product of 2 and x means multiplication of 2 and x

Which is equivalent to

2 * x = 2x

The product of 2 and x is increased by 7

That is, 7 is added to the product of 2 and x

Here,

2x + 7

The variable expression that represent the word phrase "The product of 2 and x is increased by 7" is 2x + 7

A. Edmonds Community College is opening a five credit hour section of Business Pre-Calculus for thewinter quarter. An instructor and room for the quarter cost $12,700. Additionally, it costs $31.00 perstudent per quarter after the matching money from the state is considered. The college charges $83 per credit hour. Being a non-profit, they just need to break even in each class. What is the minimum numberof students they need to let the section run?Minimum Number of Students_____Round your answer UP to the nearest wholenumber.

Answers

Let's list down the given information in the question.

Instructor and a room = $12, 700

Cost per student = $31.00

Cost per credit hour = $83

If the charge per credit hour is $83 and the section to be run is for 5 credit hours then, total charge is $83 x 5 = $415. This means every student will have to pay $415 for the subject Business Precal.

On the other hand, the college spent $12700 for the instructor and the room as well as $31 per student.

Assuming that x = the number of students, then we can have the equation below:

\(12,700+31x\leq415x\)

where 31x is the cost per student per quarter and 415x is the charge per student for the subject Business Precal. The cost of the school must be less than or equal to its total charges to the school.

From that inequality, let's solve for x.

\(\begin{gathered} 12,700+31x\leq415x \\ \text{Subtract 31x on both sides.} \\ 12,700\leq384x \\ \text{Divide both sides by 384.} \\ 33.07\leq x \\ 34\leq x \end{gathered}\)

Hence, the minimum number of students they need to let the section is 34.

At 34 students, the school will be able to spend $13, 754 and its total charges to the student is $14, 110.

Whereas, at 33 students, the school will be able to spend $13, 723 but their total charges to the student is only $13, 695.

Hence, they need at least 34 students in order to run the section Business PreCal.

wich linear function has the same slope as tge one thatis reperswnted by the table?​

wich linear function has the same slope as tge one thatis reperswnted by the table?

Answers

Answer:

Answer: B

Step-by-step explanation: y=-1/5x+1/10

Three consecutive integers have a sum of 87. Find the integers.

Answers

Answer:

28, 29, and 30

Step-by-step explanation:

There's probably better ways but you can estimate by knowing 30*3=90 so it should be somewhere pretty close to 30. Guess and check with basic calculations to get 28, 29, and 30.

Which of the following statements about the box-and-whisker plot below is not true? 70 72 74 76 78 80 02 16 O The midrange of the data set shown is 85.5. O Both 72 and 99 are values in the set of data. The median of the data set shown is 81. 94 There are fewer data points in the lower two quartiles than in the upper two quartiles.​

Answers

The false statement regarding the box-and-whisker plot is given by:

There are fewer data points in the lower two quartiles than in the upper two quartiles.​

What is the missing information?

The box-and-whisker plot is not given for this problem, but from it, we have that:

The minimum value is 72.Q1: 75.Median: 81.Q3: 90.Maximum: 99.

What does a box-and-whisker plot shows?

A box and whisker plot shows five things:

The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.

The false statement is:

There are fewer data points in the lower two quartiles than in the upper two quartiles.​

Because 50% values are below the median and 50% are above, meaning that there is an equal number of data points in the lower two quartiles than in the upper two quartiles.​

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HELP ME QUICK I AM STUCK ON THIS PROBLEM

HELP ME QUICK I AM STUCK ON THIS PROBLEM

Answers

Answer:

3

Step-by-step explanation:

5<18 is 23 and 23 by 6 is 4 and 4 by 2 is 2 + 1 = 3

Plz hurry I will give Brainly


What is the value of x?
log3(x + 1) - 5=-5

Plz hurry I will give Brainly What is the value of x?log3(x + 1) - 5=-5

Answers

Answer:

c.-1

Step-by-step explanation:

log_3 (x+1)-5=-5

log_3 (x+1)=0

(x+1)^3=0

0 to the power of any number is 0 so x=-1

Answer:

A. 0

Step-by-step explanation:

log₃ (x + 1) - 5 = -5log₃ (x + 1) = 5 - 5log₃ (x + 1) = 0x + 1 = 3⁰x + 1 = 1x = 0

Correct choice is A

Lisa I think we should walk 6 blocks north and 5 blocks west to get to the store Kara says no I think it's shorter if we walk 3 blocks west 4blocks north 2blocks west and then 2 more block north Whose route is the shortest?

Answers

Answer: lisa is faster

Step-by-step explanation:

in 2010 polls indicated that 73% of americans favored mandatory testing of students in public schools as a way to rate the school. this year in a poll of 1,000 americans 72% favor mandatory testing for this purpose. has public opinion changed since 2010?

Answers

The Correct option is Option A. Using hypothesis testing, The probability that Americans have changed their opinion on this issue since 2010 is 0.013.

Hypothesis testing:

Hypothesis testing is a form of statistical testing which uses data from a sample to determine population parameters or population probability distributions.

P stands for probability and measures the likelihood that each observed difference between groups is due to chance.

p-values are computed using the sampling distribution of the test statistic based on the null hypothesis, the sample data, and the type of test performed (bottom-tailed, top-tailed, or two-tailed).

The p-value for the lower tail test is given by: p-value = P(test statistic < observed test statistic | H 0 is true).

We have given that, In 2010 ,

americans favored mandatory testing of students in public schools as a way to rate the school = 73% = 0.73

In this year sample size= 1000

Sample proportion= 72% = 0.72

consider null hypothesis is true means there is a significant change in opinion of people's .

and alternative hypothesis implies there is no change in opinion of public .

Using the sample proportion in both year we see the test statistic value is greater than the observed test statistic value.

So, P -value is obtained about 0.013

and it gives null hypothesis can't be rejected.

Hence, the probability value 0.013 implies that a significant change in opinion of American public in this year since, 2010.

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Complete question :

In 2010 polls indicated that 73% of Americans favored mandatory testing of students in public schools as a way to rate the school. This year in a poll of 1,000 Americans 72% favor mandatory testing for this purpose. Has public opinion changed since 2010? We test the hypothesis that the percentage supporting mandatory testing is less than 73% this year. The p-value is 0.013.

Which of the following interpretation of this p-value is valid?

A) The probability that Americans have changed their opinion on this issue since 2010 is 0.013.

B) There is a 1.3% chance that the null hypothesis is true.

C) If 73% of Americans still favor mandatory testing this year, then there is a 1% chance that poll results will show 72% or fewer with this opinion .

Solve for n. (remember 2 steps)
The formula for the sum of the degree measures of the interior angles of a polygon
5 = 180(n - 2). Solve for n, the number of sides of the polygon, in terms of S.

Solve for n. (remember 2 steps)The formula for the sum of the degree measures of the interior angles

Answers

Answer:

2 + (S ÷ 180)

Step-by-step explanation:

S is the sum of the measure of the interior angle measures for a polygon, while n is the number of sides.

We are given the equation S = 180(n - 2). In order to solve for n in terms of S, we must isolate the n on one side.

S = 180(n - 2) ⇒ divide both sides by 180

S ÷ 180 = n - 2 ⇒ add 2 to both sides

2 + (S ÷ 180) = n

Therefore, n = 2 + (S ÷ 180)

Please help will give 5 stars on your answers.

Please help will give 5 stars on your answers.

Answers

Answer:

it's the third one

Step-by-step explanation:

( ) means multiple

$80 x 12months plus the original 375

I like you pf picture bye

Is 0.669429565254154... a rational number

Answers

Answer: I think so since it’s a decimal

Step-by-step explanation:

Abc company manufactures pesticides. the company has used a bright packaging color to distinguish it from other brands. the company does not display any warning label to inform the users about its fatal effects if accidentally consumed. which law does the company violate? a. truth in lending act b. federal food, drug, and cosmetic act c. sherman act d. poison prevention packaging act

Answers

Option D. The act that the company violates by not providing the right information about the fatal effects is the poison prevention packaging act.

What is the poison prevention packaging act?

This was an act that was enacted by the congress of the United States in the year 1970. The goal of the act is to reduce all forms of unintentional poisoning that can be caused by medications as well as certain home products when they are used by the consumers.

It was signed into law by Richard Nixon in this year. Given that the company, has not distinguished it from other brands, the poison prevention packaging act is what has been violated.

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question in the screenshot

question in the screenshot

Answers

Answer:

15.42

Step-by-step explanation:

The formula for finding the perimeter of a semicircle: r(π+2)

Therefore, 3(π+2)

9.42+6 = 15.42

15.42 is the answer….

Can y’all help me find the width

Can yall help me find the width

Answers

Answer:

Step-by-step explanation:

To find the width, you have to divide the height and length by the volume

find the angle abc in the given figure​

find the angle abc in the given figure

Answers

Answer:

∠ ABC = 50°

Step-by-step explanation:

∠ ABC and 130° are a linear pair and sum to 180° , that is

∠ ABC + 130° = 180° ( subtract 130° from both sides )

∠ ABC = 50°

To solve the equation 2x - 1 - 7 = 9,
first
DO
write each side with base 2
add 7 to each side
divide both sides by 2

Answers

D ON EDGE
2^x-1 = 2^4 Step-by-step explanation

To solve the equation \(2^{x-1} - 7 = 9\), we add 7 to both sides make the bases the same, and equate the exponents.

What are some rules of exponents?

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An exponential expression

\(2^{x-1} - 7 = 9\).

\(2^{x -1} = 9 + 7.\)

\(2^{x-1} = 16.\)

\(2^{x-1} = 2^4\).

x - 1 = 4.

x = 5.

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Express the equation x+y=200 in the form ax+by+c= 0

Answers

Answer:

x+y-200=0

Step-by-step explanation:

ax = x

by = y

c = 200 but we convert it to negative 200 after moving it from the RHS to LHS

So x+y=200 will be x+y-200=0 in the form ax + by + c =0

Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph that they felt best fit the data.

Answers

Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.

After plotting the data points, each of them independently drew a line on the graph that they believed best represented the relationship between car weight and mileage. Drawing a line on the graph is a way to visually approximate a trend or pattern in the data. Each line likely represents their interpretation of the general trend or correlation between car weight and mileage. It's important to note that the lines drawn by Sylvia and Patrick are subjective and based on their own perception or understanding of the data. The accuracy of their lines as a representation of the actual relationship between weight and mileage would depend on the quality and quantity of the data gathered and the methodology used to analyze it.

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if the output and input of a linear equation are proportional, whare will the graph of the equation cross the x axis

Answers

Answer:

  at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

  y = kx

The equation of a straight line is ...

  y = kx +b . . . . . for some y-intercept b

Comparison to general line

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

__

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

the mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. what is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second? 103 millibars

Answers

The approximate air pressure at the center of a hurricane is 910 millibars.

Given,

The mean sustained wind velocity equation, v = 6.3 × √(1013 - p)

p is the air pressure in millibars

The mean sustained wind velocity - 64 meters per second.

We have to find the approximate air pressure.

Here,

The equation for wind velocity ;

v = 6.3 × √(1013 - p)

v is given 64

Then substitute;

64 = 6.3 × √1013 - p

64/6.3 = √1013 - p

10.16 = √1013 - p

Square both sides

(10.16)² = (√1013 - p)²

We get,

103.23 = 1013 - p

p = 1013 - 103.33 = 909.67 ≈ 910 millibars

That is,

The approximate air pressure at the center of a hurricane is 910 millibars.

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change 4x - 5y = 10 into slope intercept form and graph

Answers

Answer:

Slope intercept form: y = 4/5x - 2

Step-by-step explanation:

(subtract 4x from both sides) -5y = -4x + 10

(divide everything by -5) y = 4/5x - 2

To graph, place a point at (0,-2), and then travel up 4 and over right 5 (or down 4 and to the left 5) to place the next point, then draw a line through the points

Find the coordinate of a point that partitions the segment AB, where A (0, 0) & B(6, 9) into a ratio of 2:1

Answers

let's call that point C, thus we get the splits of AC and CB

\(\textit{internal division of a line segment using ratios} \\\\\\ A(0,0)\qquad B(6,9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(0,0)=2(6,9)\)

\((\stackrel{x}{0}~~,~~ \stackrel{y}{0})=(\stackrel{x}{12}~~,~~ \stackrel{y}{18}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{0 +12}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{0 +18}}{2+1} \right)} \\\\\\ C=\left( \cfrac{ 12 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies C=(4~~,~~6)\)

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Which groups united to defeat the Taiping Rebellion? who must verify that all tests have been conducted and that all procedures In most big-city police departments, which branch is tasked with investigating charges of wrongdoing involving members of the department?. Accessing a struct's data members. Write a statement to print the data members of InventoryTag. End with newline. Ex: if itemID is 314 and quantityRemaining is 500, print: Inventory ID: 314, Qty: 500 1 test passed All tests passed 1 #include 2 3 typedef struct InventoryTag_struct { 4 int itemID; 5 int quantityRemaining; } InventoryTag; 2 8 int main(void) { 9 InventoryTag redSweater; 10 11 scanf("%d", &redSweater.itemID); 12 scanf("%d", &red Sweater quantityRemaining); 13 \* Your solution goes here */ 15 16 return 0; 17 } Run Feedback? How was this section? t Provide feedback Amari is standing 50 feet from the base of a building. From where he stands, the angle formed between the top of the building and the ground at his feet is 60. Amari is standing 50 feet from the base of a building. From where he stands, the angle formed between the top of the building and the ground at his feet is 60 degrees. The angle between the building and the ground is a right angle. How tall is the building? 50 ft StartFraction 50 StartRoot 3 EndRoot Over 3 EndFraction ft 50 StartRoot 3 EndRoot ft 100 ft. Name the values of the 9s in the number 1,998. What innovation or discovery had the greatest impact on the development of Louisiana'smodern economy?O automation of coal miningO discovery of oil in the stateO construction of the SuperdomeO invention of the cotton gin Apply concepts from pages 6-1 through 6-4 and page 6-7 of the VLN to answer the following: The company sales were $500,000 they had $10,000 in sales discounts and cost of good sold of $320,000 and operating expenses totaling $120,000. What is the company's gross profit ratio? Carry it out to 1 decimal place. Do not include the % sign in your answer. _% Find the equation of a line parallel to 5x + y = -6 that passes through the point(-3,2).A: y+2=(x-3)B: y-2= (x+3)C: y-2=-5 (x+3)D: y-2=-5 (x 3) question at position 4 true or false: one study is never enough to fully answer a question in the complex field of nutrition. Explain your thoughts concerning Socrates' views on the "just" person and the well-ordered soul. As part of it, explain your response to Socrates ' point regarding freedom , the soul, and lawlessness . Do you agree? Why, or why not? Texas is the ________________ largest state in the country Which of the following is NOT a classification of microorganisms?A. SpoilageB. PathogenicC. BeneficialD. Antigenic Determine the resulting pressure of this gas in atm: A gas in a cylinder is at a temperature of 133.1 K. The gas has a pressure of 7.99 atm. Then, the temperature of the gas is changed to 414.3 K. The volume of the gas does not change. At the grocery store last week, SuperSugarSweet candy bars were priced at 4 bars for 5$. This week, they are on sale at 5 bars for 4$. What is the percent change in the price per candy bar this week as compared to last week? if you dont mind can u do this why must you be careful not to touch the filter paper with your fingers except along the edges? A suspected terrorist is arrested in connection with an imminent terror threat. A bomb has been discovered at a local shopping center.The timer shows that the bomb will detonate in 2 hours. The man in custody is believed to be the bomb maker and the only person who knows how to disable the bomb. You and your partner are brought in to interrogate the suspect. An hour passes, and you havent made any progress. Your partner unplugs all of the recording equipment and asks you to leave the room. Twenty minutes later the officer exits the room with the code to deactivate the bomb. You look inside the room to find the suspect unconscious and his face covered in blood. Your partner asks you to back up his story that the suspect became aggressive during the interrogation and that he was simply defending himself. There is no tape to challenge your version of the events. It would be the terrorists word against yours.Would you follow your partners instructions? Why or why not? Be sure to include in your answer the ethical and legal consequences of your decision. if this is question can be answered as soon as possible that would be spending Which parent function is represented by the graph? 10 X -10 10 -10 A. Absolute value parent function B. Linear parent function O c. Quadratic parent function D. An exponential parent function SUBMIT + PREVIOUS DELL