The table shows the outputs y, for different inputs ,x

Input x: 3,7,11,15
Output y: 4,6,8,10

Part A: Do the data in this table represent a function? Justify your answer.

Part B: Compare the data in the table with the relation f(x) = 5x-21. Which relation has a greater value when x=11

Part C: Using the relation in part b, what is the value of x if f(x) =99

Answers

Answer 1

Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.

(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.

Part B: All we have to do is plug in 11 for x in the function given to find the answer:

In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.

Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:


Related Questions

Divide 3x2 − 11x − 4 by x − 4.

Answers

Answer:

3x+1

Step-by-step explanation:

Answer: 3x + 1

Step-by-step explanation:

Convert the numerator in factored form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

Square root both sides

therefore you must

Substitute

You are going to have a quiz with 5 true/false questions next Friday. You
want to find the probability of passing the quiz, if you guess on each
question.
Create a simulation that would represent this situation and complete 10
trials. Show all of your work for full credit.

Answers

If you have 10 choices. You have about a 50 50 of passing or failing. Your chances would be 5/10 Wich would simplify to 1/2

Based on the binomial probability principle, the probability of passing the quiz if all answers are guessed [tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]

Let :

Number of questions passed = kNumber of trials, n = 10Probability of success, p = 1/2 = 0.50q = 1 - p = 1 - 0.50 = 0.50

Using the binomial probability relation :

[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex]

x = k

Substituting the values into the relation :

[tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]

Hence, the required probability expression is [tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]

Learn more :https://brainly.com/question/23287510

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Answers

Answer:

easey, sub them

(x,y)

see if true

(0,1), 2(0)+1>-4, 1>-4, true

(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false

(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true

(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true

(-3,0), 2(-3)+0>-4, -6>-4, false

answers are

(0,1)

(5,-12)

(-1,-1)

Hopefully that helped you a little bit :)

PLEASE HURRY. I NEED THIS IS LIKE 20 MINUTES AT THE MOST. I GET AN F IF I DON'T HAVE AN ANSWER.

Which expression is equivalent to the expression shown below?


20 + 8y - 9y - 21


Select each correct answer.


2(10 + 4y - 7y - 19)


2(10 + 4y) - 3(3y - 7)


4(5 + 2y - 5y - 17)


4(5 + 2y) - 3(3y + 7)


-(y + 1)


-(1 - y)


y - 1

Answers

Answer:

4(5+2y)=3(3y+7)  and   -(y+1)

Step-by-step explanation:

You combine like terms

20-21 =-1

8y -9y = -1y

so your answer is anything that is the same as -1 - y

2(10+4y-7y-19) =2( -3y-9) = -6y-18    NO

2(10 +4y) - 3(3y-7) =   20 +8y - 9y +21  =    -y +41    NO

4(5+2y-5y-17)= 4(-3y -12) = -12y -48    NO

4(5+2y) - 3(3y+7) = 20 +8y - 9y -21  = -1 = y   YES

-(y+1)= -y-1   YES

-(1-y) = -1+y NO

Elena ran 20 meters in 5.2 seconds. Priya ran 20 meters in 4.8 seconds.
(Who ran faster? Explain how you know.

Answers

Answer:

Elena

Step-by-step explanation:

5.2 is bigger than 4.8

Answer:

Priya

Step-by-step explanation:

speed=D÷t

speed=Distance÷time

Elena=20÷5.2=3.8m/sec

Priya=20÷4.8=4.2m/sec

explain why a+b=b+a​

Answers

it would answer the same thing because as an example, 1+2=2+1 that would equal the same thing on both sides of the equation

Solve 5(w-2)=-2(1.5w+5) plz and thank you

Answers

Step-by-step explanation:

5(w-2)=-2(1.5w+5)

5w-10=-3w-10

8w=0

w=O

Answer:

W=0

Step-by-step explanation:

5(w-2)=-2(1.5w+5)

5w-10= -3w-10

5w+3w=-10+10

8w=0

W=0

So the value of w is 0

Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.

Answers

Answer:

The maximum amount of apples she could buy is 7

Step-by-step explanation:

3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.

Simplify
1203
52
4 100
551
044
5
421
50
0
127
152

Answers

Answer:

The answer is C

Step-by-step explanation:

I pick that answer because you have divide

PLEASE HELP!! NEEDS TO BE DONE TODAY!!
What are the domain and the range of the graph?

Answers

Answer:

The answer is the 3rd answer.

-19+-16
I know I can use my calculator I just need to know how to do this thanks.

Answers

Answer:

-35

Step-by-step explanation:

lol


can someone please help

Answers

Answer:

B

Step-by-step explanation:

Distribute the negative then simplify

please answer the question below

Answers

all of them i believe

PLEASE HELP! ILL GIVE BRAINLEST!
Question 1(Multiple Choice Worth 5 points)
(04.06A HC)

The table and the graph below each show a different relationship between the same two variables, x and y:

A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 3,180 and 4,240 and 5,300 and 6,360. On the right of this table is a graph. The x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis values on the graph are from 0 to 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2, 70 and 4, 140 and 6, 210 and 8, 280 is drawn.

How much more would the value of y be in the table than its value on the graph when x = 11?

110
150
215
275

Answers

Answer:

275

Step-by-step explanation:

calculator

Which graph shows the solutions for the inequality x>-2 ?

Answers

I think it’s c bc it’s asking for greater than or equal too

How do you do this question?

Answers

Answer:

y= 4x -5 x^-1

Step-by-step explanation:

xy'+y=8x

y' + y/x =8

linear DE

integrating factor = e^∫1/x dx = x

y = 1/x ( ∫8x dx +C)

y= 1/x (4x^2 +C)

y= 4x + C x^-1

C is any constant.. in this case -5 is satisfying equation

Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?

Answers

Answer: f(2) is a relative minimum

This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.

Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].

find the number for which 200% is b mins PLZ HELP QUICK

Answers

Answer:

200

Step-by-step explanation:

Read the excerpt from "Healthy Eating." "Cherish the season," is her motto. If kids want something out of season, it's OK to buy frozen. Then steel yourself for some complaining and use the opportunity to convey a larger lesson. "It's important to teach children that you don't always get what you want," she said. Which statement best describes the author’s argument in this part of the article? Frozen foods are a necessary part of a balanced diet. Frozen foods can be a good substitute for fresh foods. Parents should do what they can to please picky eaters. Children often request foods that are unhealthy for them.

Answers

Answer:

its c

Step-by-step explanation:

Answer:

B (Frozen foods can be a good substitute for fresh foods.)

Step-by-step explanation:

because in the text: cherish the season," is her motto. If kids want something out of season, it's OK to buy frozen. Then steel yourself for some complaining and use the opportunity to convey a larger lesson. so i think its be because there kind of saying that its ok to have frozen food in the winter because its expensive to get fresh food in winter.

Graph the line of the equation x−2y=6 using its slope and y-intercept.

Answers

Step-by-step explanation:

take x and subtract it over to the other side you should get Negative two y equals negative x + 6 then divide it all by -2 and you should get y equals 1/2 x - 3

Before multiplying fractions change any mixed numbers to
[A] decimals
[B] estimated numbers
[C] percent
[D] improper fractions

Answers

D improper fractions my brain said so

9514 1404 393

Answer:

  [D] improper fractions

Step-by-step explanation:

The usual recommendation for doing much of anything with mixed numbers is to change them to improper fractions.

__

However, that isn't always necessary. If you're doing the arithmetic with a calculator, it can be helpful to convert them to decimal numbers.* Sometimes, you can work with mixed numbers by working with the integer and fractional parts separately.

Sometimes a simple rewrite makes working with mixed numbers easier. (That is, converting part of the integer portion to a fraction may be useful in some cases.

Example:

  (29 1/3) × (1/2) = (28 4/3) × (1/2) = 14 2/3

_____

* Some calculators will do arithmetic directly with mixed numbers and/or fractions. If yours doesn't, it can be helpful to memorize the decimal equivalents of a few common fractions: 1/3, 2/3, 1/6, 1/7, 1/9, 1/11 for example. This will help you convert the decimal result back to a mixed number.

can u pls help me with this question ​

Answers

Answer:

Step-by-step explanation:

45 chairs in 3 rows

1 row = 45 /3 = 15 chairs in each row

Answer:

15

Step-by-step explanation:

15 x 3 is 45.

-8x+44\geq 60 \quad \maroonC{\text{ AND}} \quad -4x+50 -2x>−2x, is greater than, minus, 2 (Choice B) B x\leq -2x≤−2x, is less than or equal to, minus, 2 (Choice C) C x=-2x=−2x, equals, minus, 2 (Choice D) D There are no solutions (Choice E) E All values of xxx are solutions

Answers

Answer:

Use a website named  to get math equation answers

Step-by-step explanation:

wuieufheufheufhieuhdsjjdhfjdhjshkjhdjkhjdhfjkdhsjfhjdhskjfds

Name the image of C(6,-4) under a rotation 90° about the origin. PLEASE HELP ME :)

Answers

Answer:

(4, 6)

Step-by-step explanation:

90 degree goes counterclockwise so

(6,-4) becomes( 4, 6)

(x,y) rotation 90 or -270 is (-y,x)

A rectangular prism is completely packed with 180 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?​

Answers

Answer:

180 x 1/3 = 60 rhe answer is 60

Answer: 60

Step-by-step explanation:

what is the factor form of x^12^18+1

Answers

Answer:

2

6

6

2

3

3

3

3

2

8

0

8

8

5

2

4

3

9

0

4

+

1

Step-by-step explanation:

Answer:  

2 6 6 2 3 3 3 3 2 8 0 8 8 5 2 4 3 9 0 4 + 1

Step-by-step explanation:

In Tyra’s class the ratio of boys to girls is 15 to 8. If there are 16 girls in her class then how may boys are there?



Answers

Answer:

9?

Step-by-step explanation:

im just guessing tho sorry if im wrong

My name is Tyra
Boys girls: 15:8

?:16

The answer is 30.



There are p marbles in a bag.

18 of the marbles are red.

Mary takes at random 40 marbles from the bag.

6 of these 40 marbles are red.

Work out an estimate for the value of p.

Answers

i think it would be 120 but i’m not 100% sure

Amir ran the first 200-meter leg of the relay race with a speed of 8,260 millimeters per second. Ryder ran the last 200-meter leg with an average speed of 930 centimeters per second. Who ran the race faster, and how much faster was that person’s speed to the nearest meter per second?
A. Amir ran approximately 1 meter per second faster than Ryder.
B. Ryder ran approximately 1 meter per second faster than Amir.
C. Amir ran approximately 104 meters per second faster than Ryder.
D. Ryder ran approximately 104 meters per second faster than Amir.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The first person to solve this correctly gets 40 points and brainliest!!!

Answers

Answer:

0.36363.....

repeating

Step-by-step explanation:

given :

total songs downloaded = 44

total favorite band songs = 16

number of favorite songs out of total songs downloaded

= total favorite band songs ÷ total songs downloaded

= 16 ÷ 44

= 0.3636363636363636363...  (answer for part A)

by observation, we can see that the decimals 36 repeats over and over again and never stops. Hence we can say that the decimal is repeating (Answer for part B)

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