4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input 2 4 6 8
Output
(y)
1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 3x - 10. Which relation has a greater value when x = 8? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 80? (5 points)
(10 points)

Answers

Answer 1

Answer:

A: The data does represent a function because there are no repeating x values. a function can have repeating y values but cannot have repeating x values. Also, there is one value of y for every value of x.

B: f(x)=1/2x

f(x)= 3x-10

f(8)=1/2(8) ----> 4

f(8)=3(8)-10 ----> 14

f(x)=3x-10 has a greater value when x=8

C:  f(x)=1/2x

f(x) = 80

80=1/2x  

80*2=x

x=160

Step-by-step explanation:

Answer 2

The data in the table is a function. The relation has f(x) = 3x - 10 has greater value when x = 8. And the value of x is 30 when f(x) = 80.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Part A :

The table has the data values,

x : 2  4  6  8

y : 1  2  3  4

The given data represents a function, because elements in the domain (2, 4, 6 and 8) has only one image in the Range (1, 2, 3 and 4).

Part B :

f(x) = 3x - 10

x = 2, then f(x) = y = -4

x = 4, then f(x) = y = 2

x = 6, then f(x) = y = 8

x = 8, then f(x) = y = 14

The relation f(x) = 3x - 10 has the greater value when x = 8.

Part C :

f(x) = 80

3x - 10 = 80

3x = 80 + 10

3x = 90

x = 90 / 3

x = 30

Hence the relation in the table is a function. The second relation f(x) = 3x - 10 has the greater value when x = 10 after computing the values of both the relations.

To learn more about Functions, click :

https://brainly.com/question/6241820

#SPJ2


Related Questions

Construction of segments angles and bisectors

What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r?

Answers

Answer:

What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r? Drag the steps and drop them in order from start to finish. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

Step-by-step explanation:

Answer:

1. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

2. Place the point of the compass on point Y and draw an arc that intersects lines r and s. Label the intersections as points M and N.

3. Without changing the width of the compass opening, place the point of the compass on point X and draw an arc that intersects line s. Label the intersection as point P.

4. Place the point of the compass on point M and open it to width MN.

5. With the compass opening set to width MN, place the point of the compass on point P and draw an arc that intersects the arc that was drawn from point X. Label the intersection of the arcs as point Z.

6. Use the straightedge to draw XZ.

Step-by-step explanation:

Verified correct with test results!!

The coordinates for the vertices are A(1,3), B(4,0) ,C(1,-3) ,D(-2,0) what is the length of the AB

Answers

Answer: 3sqrt(2)

Step-by-step explanation:

d = sqrt[(3-0)^2 + (4-1)^2]

d = sqrt[9+9]

d = sqrt(18) = 3sqrt(2)

There are two approaches to solving the equation -3x + 10 = 4x - 20

Subtract 4x from both sides. OR Add 3x to both sides.

–7x + 10 = –20 OR 10 = 7x – 20

Solve the equation using both approaches.

What is the solution?

Answers

the same equation but subtract 2-9-/64/7-8

which statement is true and represent the correct form of scientific notation
A. 5.3 x [tex]10^{-2}[/tex] = -0.053
B. 2 x [tex]10^{4}[/tex] < 20,000
C.-74.308 < -0.74 x [tex]10^{3}[/tex]
D. 12,000,000 = 1.2 x [tex]10^{7}[/tex]

Answers

Step-by-step explanation:

let express them in the same form

5.3*1/100=0.053>-0.053 so A is false

2*10^4=2*10000=20,000 is equal to 20,000 so even B is false

-0.74*10^3=-0.74*1000=-740<-74.308 so even C is false

lets see D

1.2*10^7=12*10^6=12*1000000=12,000,000 which is equal to 12,000,000 so D is true

PLEASE HELP ME!!!!!!!!!!

Answers

Answer:

A.)

Step-by-step explanation:

I need help PLLS I'll give you the Brainliest

Answers

Answer:

C

Step-by-step explanation:

21 - (-5)     A negative minus a negitive turns into a +

21 + 5 = 26

A.  -21 + 5 = -16      NO

B.    21 - 5 = 16   NO

C. 21 + 5 = 26    YES

D. -21 - 5 = -26    NO

Answer:

C

Step-by-step explanation:

When subtracting a negative, the two negatives cancel out. The rule is that two like signs become positive.

Therefore, +(+) =+ and -(-) = +  

So, the equation would be 21 + 5.

Suppose -1 1 PLEASE PLEASE PLEASE PLEASE

Answers

What's the question?

I don't quite understand what you're asking.

HELP PLEASE TO CONFUING FOR ME

Answers

Answer:wow this is hard

Step-by-step explanation:

What’s the slope for this chart?

Answers

Answer:

3

Step-by-step explanation:

The slope of the chart, (the change of y over x) is 3

Given the expression 2m - 7x + 6 + 3x - 4 what are the CONSTANTS?

Answers

4 and 6 are constants

Answer:

The constants are 6 and 4

Step-by-step explanation:

They don’t have variables next to them

a shop is recording the queuing time of its customers and produces the cumulative frequency graph shown below.
a) how many customers queued for more than 20 minutes?
b) Find the median queuing time .

Answers

Answer:

11 customers

11 minutes

Step-by-step explanation:

Answer:

A) 11 Customers

B) 11 Minutes

Step-by-step explanation:

Select the fraction that is equivalent to A. 1 9 B. 1 2 C. 1 22 D. 2 9

Answers

2/9 hope this helps luv

63.2g of sugar is needed to make 8 cakes how much sugar is needed for 12

Answers

Answer: 94.8

Step-by-step explanation:

To find this, you need half of 63.2 which is 31.6. Then add that to 63.2 and bam, your answer.

Answer:

94.8g of sugar

Step-by-step explanation:

Set up a ratio- [tex]\frac{63.2}{8} =\frac{?}{12}[/tex]

cross multiple- [tex]12*63.2=8*?[/tex]

solve- [tex]758.4 = 8*?[/tex]

divide by 8- [tex]758.4/8 = 94.8[/tex]

A submarine that is 245 feet below sea level descends 83 feet and then ascends 103 feet. What is the location of the submarine compared to sea level?​

Answers

The starting number is 245.So it’s already pretty deep in the water,then it goes down 83 feet MORE.so that’s 245+83=328 feet. Then the submarine goes UP 103 feet from that point,so 328-103=225 feet,so its closer to the surface than at the beginning(245ft)

A line has a slope of 1/4 and passes through the point (0.2. 4/5).
Find the value of b, the y-intercept.
b=

Answers

Answer:

The value of the y-intercept b is 0.75

Step-by-step explanation:

Here, we want to find the value of the y-intercept

The equation of the line can be written as;

y = mx + b

where m is slope and b is the y-intercept

so y = 1/4x + c

To get the value of b , we substitute for x and y using the given point

4/5 = 1/4(0.2) + c

Multiply

0.8 = (0.25)(0.2) + b

0.8 = 0.05 + b

b = 0.8 - 0.05 = 0.75

Answer:

b=0.75

Step-by-step explanation:

i did it on edge

The ratio of juniors to seniors on the track team is 6:7. How many juniors are on the track team if there are 21 seniors on the team?


answer: 18

Answers

Answer:

There are 18 juniors on the track team

Answer:

There are a total of 18 juniors on the track team.

Step-by-step explanation:

Apply the following ratio to the quantity by multiplying.

6:7 = 6 to 7 or 6/7

6/7 × 21 = 126/7 = 18

Use the graph shown to complete the following sentence.
when x = 1, then y = ___​

Answers

Answer:

-2

Step-by-step explanation:

On the graph when the X value is equal to 1, the Y value is equal to -2.

The amount of Social Security benefits received by an individual that he or she must include in gross income:


a. May not exceed the portion contributed by the employer.

b. May be zero or as much as 85% of the Social Security benefits received, depending upon the taxpayer's Social Security benefits and other income.

c. May not exceed 50% of the Social Security benefits received.

d. Is computed in the same manner as an annuity [exclusion = (cost/expected return) × amount received].

e. None of these choices are correct.

Answers

Answer:

b. May be zero or as much as 85% of the Social Security benefits received, depending upon the taxpayer's Social Security benefits and other income.

Step-by-step explanation:

Social security measures an organization to guarantee individuals against certain risks (social risks). Social security is made up of a set of institutions whose function is to protect individuals from the consequences of various events or situations, generally referred to as social risks.

Social Security is a public service of the State, ensuring all the social risks of workers, employees, liberal professions, self-employed, and non-salaried workers. Social Security provides the benefits provided by the Social Security Code. However, the amount of Social Security benefits received by an individual that they must include in gross income may be zero or as much as 85% of the Social Security benefits received, depending upon the taxpayer's Social Security benefits and other income.

Hannah makes $1,500 per month. She spends $450 on groceries and
eating out. What percentage of her budget is spent on food?

Answers

100 dollars I think
Answer: 30%

Explanation

450 divided by 1500 is 0.3

0.3 multiplied by 100 is 30

Answer is 30%

One night a theater sold 548 movie tickets. An Adult’s ticket costs $6.50 and a child’s ticket cost $3.50. In all $2881 was taken in. How many of each kind of ticket were sold?​

Answers

Step-by-step explanation:

let x be the number of adults and y the number of childrens

x+y=548 people because thats the whole number of sold tickets

and

6.50*x+3.50*y=2881 dollars in total

let separate x from the first formula

x=548-y

and replace it at the second equation

6.50*(548-y)+3.50y=2881

6.50*548-6.50y+3.50y=2881

3562-3y=2881

3y=681

y=227

so x=548-y=548-227=321

there were sold 321 adult tickets and 227 child's tickets.

BRAINLIEST!!!!!! easy question

Answers

Answer:

Draw a line that intersects the first line using a straightedge

The first answer

Answer:

second option: Draw a ray that intersects the frist line at a right angle using a straightedge

Step-by-step explanation:

Can someone tell me the answer plz I’ll give you brainlist and points only if you get it right

Answers

It's E. 19

19+4=23

hope this helps!

Answer:

Should be E.

Step-by-step explanation:

if u add and if u subtract 4 from both sides u get 1x=19,divide frmo both sides and x=19

Need help ASAP plzzz and thank you :)

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

to get the exponent number, you count however many times the number is being multiple by itself

5-y=-3x in standard form

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

The linear formula follows this general form: y = mx + c

Hence, to put 5-y=-3x in standard form, you would rearrange it

-y = -3x - 5

y = 3x + 5

Answer:

3x-y=-5

Step-by-step explanation:

standard form is Ax + By = C

5-y=-3x      move the y to the other side by adding it to the -3x

-3x+y=5     The x cant be negative so switch all the signs

3x-y=-5

Solve this system of equation without graphing.
5x + 2y = 29
5x - 2y = 41

Answers

Answer: Solving  we get x=7 and y= -3

Step-by-step explanation: We need to solve the following systems of equations:

Let:

Adding eq(1) and eq(2)

So, value of x=7

Putting value of x in eq(1) to find value of y:

So, value of y = -3

So, Solving  we get x=7 and y= -3

Keywords: Solving system of Equations

Learn more about Solving system of Equations at:

brainly.com/question/2115716

#learningwithBrainly


An item is priced at $13.51. If the sales tax is 7%, what does the item cost including sales tax? please help ‍♀️‍♀️

Answers

Answer:

14.45

Step-by-step explanation:

The width of a rectangle is three more than twice its length

Answers

yes it is! great job on coming up with that conclusion!

Answer:you have to add find the side length add 3 and double it and that’s the width. I don’t have measurements so I can’t fully help you.

Step-by-step explanation:

YESS

THE FIRST PERSON TO GET IT RIGHT GET BRAINLIEST!!!!!!! Plzzz hurry I need to double check my answers.

Answers

its b because like its -2 to the power of 5 which is 0.04=1/25 i think so lol

Answer:

0.04 or 1/25

Step-by-step explanation:

If x = -2, then the equation is f(-2) = 5^-2

5^-2 is 0.04 so,

f(-2) = 0.04 or 1/25

I hope this helps :)

can someone tell me what's happening here? jk don't just help me answer this plzzzzz

7x+4-2x=6(x+1)-x

Answers

Answer:

the sides are not equal

Step-by-step explanation:

7x + 4 - 2x = 6(x + 1) - x     expand

7x + 4 - 2x = 6x + 6 - x      combine similar terms

7x - 6x - 2x + x = 6 - 4

                  0 = 2    ------ no solution

Solution for y = 3x -1

Answers

well this is the form for slope so what you would do is graph this and make sure you have a solid line
X= 1/3 or x=3 or x0.3
Other Questions
Does Civil Law necessarily need to involve criminal acts? A box contains 6 blue pens and 10 red pens. What is the ratio of red pens to total pens as a fraction PLEASE HELPRewrite the following sentences to change the underlined singular text to plural text.9. Je connais un garon franais._____________. .10. Tu connais la fille franaise._______________. Give the feminine plural form of the following sentences:11. Ils sont srieux.12. Il est stress et impoli.13. Il est mchant et laid.Give the masculine plural form of the following sentence:14. Elles sont sympathiques et sportives. . 2. Cell division by mitosis produces:A. Two cells identical to each other but not to the parent cellB. Two cells identical to each other and to the parent cellC. Two cells with half the amount of DNA as the parent cellD. Two cells with twice the amount of DNA as the parent cellPlease hurry !! Q: Why is Thomas Hobbes important to theideas of government? Which practices were central to the Acadian economy in Canada? Check all that apply.Need help fast In a wrinkle In time what does Meg got that IT hasnt got someone help me!!!?? -Everyone loved Mother teresa 8At a child's lemonade stand, p pitchers of lemonadeare made by adding m packets of lemonade mixto cold water. If m=2p+4, how many morepackets of lemonade mix are needed to make eachadditional pitcher of lemonade?A) OB) 1C) 2D) 4 Plz help!The Gazelle football team made 5 plays in a row where they gained 3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started? oxygen gas is made of molecules like the one this model shows, which chemical formula, most likely describes oxygen gas?A.O100B.OOC.OgD.O2 ........ is the average pitch at which a person speaksArticulationOral cavity InflectionCircumflex KeyLarynx Diaphragm A local sporting goods store is planning to hire up to 24 temporary employees for its annual Black Friday Sale. Experienced workers (x) will be paid $20 per hour and produce 1.5 times the profit that an inexperienced worker produces. Inexperienced workers (y) get hired at $15 per hour. The store can pay up to $400 per hour for the temporary employees. How many of each type of worker can be hired to maximize profit? Read the excerpt from Narrative of the Life of Frederick Douglass.She was entirely unlike any other white woman I had ever seen. I could not approach her as I was accustomed to approach other white ladies. My early instruction was all out of place. The crouching servility, usually so acceptable a quality in a slave, did not answer when manifested toward her.Which sentence from this excerpt best illustrates Frederick Douglasss use of strong adjectives and verbs?The crouching servility, usually so acceptable a quality in a slave, did not answer when manifested toward her.My early instruction was all out of place. She was entirely unlike any other white woman I had ever seen.I could not approach her as I was accustomed to approach other white ladies. How did the Umayyads come to power? What caused Dr.Ride's training to be protracted? Write 2/5 as a decimal. 6 is added to the square of a number High Tech Manufacturing manufactures 256GB SD cards (memory cards for mobile phones, digital cameras, and other devices). Price and cost data for a relevant range extending to 200,000 units per month are as follows: Sales price per unit: (current monthly sales volume is 120,000 units) $25Variable costs per unit: Direct materials 6.60Direct labor 7.70Variable manufacturing overhead 2.40 Variable selling and administrative expenses 1.90Monthly fixed expenses: Fixed manufacturing overhead 241,900Fixed selling and administrative expenses 327,900Required: a. What is the company's contribution margin per unit? Contribution margin percentage? Total contribution margin? b. What would the company's monthly operating income be if the company sold 160,000 units? c. What would the company's monthly operating income be if the company had sales of d. What is the breakeven point in units? In sales dollars? e. How many units would the company have to sell to earn a target monthly profit of $260,100? f. Management is currently in contract negotiations with the labor union. If the negotiations fail, direct labor costs will increase by 10% and fixed costs will increase by S22,500 per month. If these costs increase, how many units will the company have to sell each month to break even? g. Return to the original data for this question and the rest of the questions. What is the company's current operating leverage factor (round to two decimals)? h. If sales volume increases by 7%, by what percentage will operating income increase? i. What is the company's current margin of safety in sales dollars? What is its margin of safety as a percentage of sales?