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 :

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Related Questions

Help please! Please!

Answers

2) y = x - 5
3) y = x + 3

help with this question and i will do brainliest (if there are multiple answers)

Answers

So we have 2/3 s + 5/6 s
In order to simplify this, we need to get a common denominator and we can do this by multiplying 2/3 by 2, which yields 4/6 s.

Now, we add the two together:
4/6(s) + 5/6(s) = 9/6 (s) = 21

Finally, we can divide 21 by 9/6 which yields 126/9. This simplifies to 14.

S = 14

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT

Answers

Answer:

p = 45 - 2.5f

Step-by-step explanation:

5f + 2p = 90

just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying

5f + 2p = 90

-5f           -5f

2p = 90 - 5f

/2       /2

p = [tex]\frac{90 -5f}{2}[/tex]

p = 45 - 2.5f

What is the F(x) formula

Answers

Answer:


f (x) = mx + b. f (x) is the value of the function. m is the slope of the line. b is the value of the function when x equals zero or the y- coordinate of the point where the line crosses the y-axis in the coordinate plane. x is the value of the x-coordinate.

Why is 1 + (−5) equal to −4?


Because it is 5 units to the right of 1 on a horizontal number line

Because it is 5 units to the left of 0 on a horizontal number line

Because it is 5 units to the right of 0 on a horizontal number line

Because it is 5 units to the left of 1 on a horizontal number lin

Answers

Answer:

because its 5 units to the left on a horizontal number line

a football stadium, 55% of the crowd is cheering for Team A, and 48 % of the crowd is female . 19% of the crowd is cheering for Team A and female . What is the probability that a randomly selected Person from the crowd are cheering for Team A or female?

Answers

Answer:

67%

Step-by-step explanation:

I added 48%+19%

Jessie read three books in one week. At this rate, how many books will she read in 3 weeks?

Answers

Answer:

Jessie will read 9 books in 3 weeks.

Step-by-step explanation:

3 x 3 = 9

Answer: 9

Step-by-step explanation: If you need an equation, you can create one:

t = total number of books read

w = weeks

t = 3w

The 3 is there because she reads 3 books weekly, so you multiply the number of weeks by the number of books she reads.

Plug in 3 weeks:

t = 3(3)

t = 9 books

Jessie reads 9 books in 3 weeks.

Assignments due in 4 minutes. HELP

Answers

Answer:

(-1,4)

Step-by-step explanation:

Because you look at the (Y,X) line first and then you see the Y is -1 and the X line is 4 and that will give you an answer as (-1,4)

The Sum Of Two Numbers Is 18 And Their Difference Is 4

Answers

Answer:

The two numbers are 7 and 11.

[711?  Is this an ad?  ← :)]

Step-by-step explanation:

Let A and B stand for the two numbers.

We are told that:

1)  A+B=18, and

2)  A-B=4

Take the first expression and rearrange to isolate A:

A+B=18

A=18-B

Use this in the second expression:

(18-B)-B=4

-2B = -14

B = 7

From (1) we find A:  

A+B=18

A+7=18

A= 11

If A=11, then B=7 (from A+B=18)

CHECK:

Does A+B=18?

  11 + 7 = 18?  YES

Does A-B=4?

    11 - 7 = 4?  YES

14 boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.

Answers

Answer:

7

Step-by-step explanation:

GCF of 14 and 21 is 7

what does a “mirror view” mean

Answers

Answer:

In mirror view, when you look at your self-view video, your video appears as if you were looking at your reflection in a mirror. The left and right sides of your image appear to be reversed.

Answer:

It means when a person can only see straight and not on the sides. For example, when you are looking at the computer screen, you also see things around it on the sides. By if a person has mirror view, the he only see only the thing directly in front of him and nothing else.

Step-by-step explanation:

Which expression is equivalent to x^-5/3?

Answers

Answer:

The one you selected is true <3

Step-by-step explanation:

Answer:

The one you selected is true I agree! :D

Step-by-step explanation:

2x + 3y = 5x - y
Complete the missing value in the solution to the equation.
( ,0)

Answers

Answer:

0

Step-by-step explanation:

If you replace y with 0 (which you do since you are given y = 0 and you are trying to find x from the (_,0) point), you get [tex]2x = 5x[/tex]. The only way for x to satisfy this is x = 0.

It takes Susana 10 seconds to complete 5 math
problems. How many math facts can she complete
in 35 seconds?

Answers

Answer:

If you understand what I wrote you can get the answer.

Step-by-step explanation:

First find how long it takes her for each problem which is 10 seconds / 5 problems = 2 seconds per problem. Then take 35 seconds and divide it by 2 seconds which gives the number of problems she did in 35 seconds.

5. a. After receiving a 3 % raise, Randy's salary is now $4 120. What was her
original salary? Her original salary was $

Answers

Answer:

$4000.

Step-by-step explanation:

Let x = original salary

x * 1.03 = $4,120.

x = 4000

Phil would like to make a profit of $250 this summer mowing his grandfather’s lawn. If he plans to mow 20 times and estimates that his fuel costs will be $30 for the entiresummer,which equation could be used to determine how much should he charge for each mowing?

Answers

Answer:

which principle prevents a brach from abusing  its power

Step-by-step explanation:

which principle prevents a brach from abusing  its power

Answer:

20x - 30 = 250

Step-by-step explanation:

20x - 30 = 250

20x = 280

x = 14

i give new question for not so many points. 44+4

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

44+4=48

yeah basic answer

A​ company's stock began the day at ​$36.66 per share. That price drops by ​$1.69 each hour.
a. What is the price per share after 6 ​hours?

Answers

Answer:

vwhich principle prevents a brach from abusing  its power

Step-by-step explanation:

Any help on this please ?

Answers

Answer:

(0,-5), I believe.

Step-by-step explanation:

Answer:

It would be -5

Step-by-step explanation:

You have to plug in 0 into the function so it would look like

g(0)= (2/5 )(0) -5

g(0)= 0 -5

g(0)= -5

Easy question the first person to answer it right gets 10 points: 1+2+3+4+5+6+7+8+9+10=?

Answers

Answer:

55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Find the measures of the sides of triangle DEF, then classify it by its sides. YOU MUST SHOW WORK TO GET CREDIT!

D(-2, 3), E(5, 5), F(-4, 10)

Answers

Answer:

FE = 10.30

ED = 7.62

FD = 7.28

Step-by-step explanation:

First, use coordinate system to draw a square that each angle of triangle reach the sides of the square, then use Pythagoras theory to find the length of the sides(c^2=a^2+b^2)

FE = root(9^2+5^2) = root(106) = 10.30

ED = root(3^2+7^2) = root(58) = 7.62

FD = root(2^2+7^2) = root(53) = 7.28

Sarah makes a party punch that requires 1 gallon of orange juice for every 2.5 gallons of lemonade. Dean's favorite punch recipe calls for a gallons of orange juice
for every 1 gallon of pineapple juice. What would the ratio of orange juice to lemonade or pineapple juice be for 4 batches of each punch recipe?

Answers

Answer

10

Step-by-step explanation:

4x2.5=10

80 inches of snow over 10 days what is the rate and unit rate

Answers

Answer:

The rate is 80 in. : 10 days

The unit rate is 8 in. : 1 day

Step-by-step explanation:

Divide 80 by 10, you get 8 which is the amount of snow you would get in 1 day.

f(x)=4x+2
g(x)=x^2-1
Find (f+g)(-4)

Answers

(4x+2+x^2-1)(-4)=(x^2+4x+1)(-4)=(-4)^2+4(-4)+1

=16-16+1

=1

Riley was scuba diving 12 feet below sea level. She dove 8 feet further down what now what is the expression.

Answers

Answer:

-12+(-8)=-20

-20 is the answer

Solve for y: 6x + 2y = 12

PLEASE SHOW STEPS.
(Brainliest is going to be given once 2 people answer.)
# 12 Points

Answers

solve for y first

2y=12-6×

divide each term by 2 and simplify

y=6-3x

Answer:

y=6-3x

Step-by-step explanation:

6x+2y=12

6x+2y=12 divide all by 2

3x+y=6 subtract 3x from both sides

y=6-3x

Ben can type 153 words in 3 minuets. At this rate, how many words can he type in 10 minuets?

Answers

Answer:

510

Step-by-step explanation:

153/3=51 (words per min)

51x10=510 (words per 10 min)

Answer:510

Step-by-step explanation:

Find 152.875 + 35.4. Express your answer in decimal form.

Answers

Answer:

188.275

Step-by-step explanation:

152.875

 35.4

---------------------

 1   8    8   .  2 57

LINE UP THE DOT

HOPE THIS HELPS!!!!

Graph the function f(x) = -x-8x-13

Answers

Answer:

the answer is there...

A
B
C С
1. How many blue rhombus blocks does it take to build a scaled copy of Figure A:
a. Where each side is twice as long?
b. Where each side is 3 times as long?
c. Where each side is 4 times as long?
Can some plz help me

Answers

Answer:

c

Step-by-step explanation:

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