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.

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Related Questions

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 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:

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

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

Answers

Answer:

A.)

Step-by-step explanation:

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.

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.

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 :)


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:

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

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%

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Answers

Answer:wow this is hard

Step-by-step explanation:

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

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

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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

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.

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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]

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
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Answers

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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.

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Answers

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

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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:

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Answers

It's E. 19

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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

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Answers

Answer:

3

Step-by-step explanation:

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

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Answers

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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 width of a rectangle is three more than twice its length

Answers

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

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Step-by-step explanation:

YESS

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

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Keywords: Solving system of Equations

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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

Suppose -1 1 PLEASE PLEASE PLEASE PLEASE

Answers

What's the question?

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

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!!

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