Mathematics College

Is the following relation a function?


Yes

No

Is The Following Relation A Function?YesNo

Answers

Answer 1

Answer:

no

Step-by-step explanation:

Answer 2

Answer:

No

Step-by-step explanation:

The vertical line test can be used to decide whether a relation is a function. If you draw a vertical line x = a, the line will intersect the graph of the relation twice for all a > 0. This just means that there are values of x where there is more than one y value, so this is not a function.

Related Questions

Suppose a number is chosen at random from the set {0,1,2,3,...,497}.

What is the probability that the number is a perfect cube?

Answers

Answer: 4/249

===========================================================

Explanation:

Cube values in the set {0,1,2,3,...} until we reach a result larger than 497

0^3 = 01^3 = 12^3 = 83^3 = 274^3 = 645^3 = 1256^3 = 2167^3 = 3438^3 = 512

We stop here because 512 is larger than 497.

Or you could note that [tex]\sqrt[3]{497} = 497^{1/3} \approx 7.921[/tex] helping us see that we stop at 8.

The list of nonnegative perfect cubes less than 497 is {0,1,8,27,64,125,216,343}

There are 8 items in that set out of 498 items in the set {0,1,2,3,...,497}

So the probability of getting a perfect cube is 8/498 = 4/249

Function or not?? Please help

Answers

Answer:

not a function

Step-by-step explanation:

This would not pass the vertical line test, so it is not a function

Answer:

This not a function

Step-by-step explanation:

Name three Apex predators

Answers

Answer:

lions, tigers, and bears

Step by-step explanation:

They are apex predators because they are on top of the food chain.

89,659 to the nearest thosannd

Answers

Answer:

100,000

Step-by-step explanation:

90,000 is the answer

9.8x7.6 multiple I need help please

Answers

Answer:

74.48

Step-by-step explanation:

Just Multiply 9.8 and 7.6

Answer:

74.48

Step-by-step explanation:

9.8x7.6= 74.48

All you need to do is line up the numbers and multiply like normal if you get a ten or higher it will go to the next number up

what is 2,970,000 in scientific notation

Answers

Answer:

i think its 2.97 x 106

Step-by-step explanation:

hope its right/helps

you deposit 2000 each year into an account earning 3% interest compounded annually. How much will you have in the account in 15 years?

Answers

Answer:

It should be $2,900

Step-by-step explanation:

First you convert the percentage to decimal form out of 100

3%/100 = 0.03

A = P(1 + rt)

A = 2000(1 + 0.03 x 15)

Which you should get $2,900 or $2,900.00 (which is pretty much the same thing)

Hope this helps!

What is the scale factor of ABC to DEF?

A.6
B.8
C.1/8
D.1/6

Answers

Answer:

eight

Step-by-step explanation:

The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.

What is a scale factor?

The scale factor between two figures (any dimensions) is the scale to which the original figure (preimage) is multiplied to make the transformed figure (image).

How do we solve the given question?

In ΔABC and ΔDEF,

AB/DE = BC/EF = CA/FD (Corresponding sides of triangle are in ratio)

∴ ΔABC ~ ΔDEF (SSS axiom)

The scale factor = A side of ΔDEF/Corresponding side of ΔABC = DE/AB = 48/6 = 8.

∴ The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.

Learn more about the scale factor at

https://brainly.com/question/10253650

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When two dice are rolled, 36 equally likely outcomes are possible as shown below.
(1,1) (1,2) (1,3) (1.4) (1,5) (1,6)
(2, 1) (2, 2) (2,3) (2,4) (2,5) (2, 6)
(3, 1) (3, 2) (3,3) (3, 4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5, 1) (5,2) (5,3) (5, 4)
(5,5)
(5,6)
(6, 1) (6,2) (6,3) (6,4) (6,5)
(6,6)
Let x be the product of the numbers. Let P be the probability of the desired outcome. Compare the following charts and
determine which chart shows the probability distribution for the product of the two numbers.

Answers

Answer: chart b

Step-by-step explanation:

2 is only a product of the outcomes 1/18 times

3 is only a product of the outcomes 1/18 times

4 is only a product of the outcomes 1/12 times

5 is only a product of the outcomes 1/18 times

6 is only a product of the outcomes 1/9 times

and so on

The chart that shows the probability distribution for the sum of the two numbers is chart B.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

When two dice are rolled, 36 equally likely outcomes are possible

The sum of the 36 outcomes are as follows: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12

The number of the sums are as follows:

n(2) = 1

n(3) = 2

n(4) = 3

n(5) = 4

n(6) = 5

n(7) = 6

n(8) = 5

n(9) = 4

n(10) = 3

n(11) = 2

n(12) = 1

The probability of the sums are given as follows:

p(2) = 1/36

p(3) = 2/36 = 1/18

p(4) = 3/36 = 1/12

p(5) = 4/36 = 1/9

p(6) = 5/36

p(7) = 6/36 = 1/6

p(8) = 5/36

p(9) = 4/36 = 1/9

p(10) = 3/36 = 1/12

p(11) = 2/36 = 1/18

p(12) = 1/36

Therefore, the chart that shows the probability distribution for the sum of the two numbers is chart B.

To learn more on probability click:

https://brainly.com/question/11234923

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WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the monthly demand for widgets. WidgCo's marketing department determines that p and x are related by the following demand equation: p(x) = 211 − 5x. The cost of producing x widgets is given by C(x) = 1,401 + 16x. Construct the revenue function, R(x). Find the production level that will result in the maximum revenue. Find the maximum monthly revenue. Enter your answer to part c in the box below. Round your answer to the nearest cent.

Answers

Answer:

The answer to this question can be defined as follows:

i) [tex]\bold{p(x)= -5x^2+ 217x- 1,401} \\[/tex]

ii) x=22 units

iii) Maximum profit: 953.45

Step-by-step explanation:

Given value:

p(x) = 211 − 5x \\

C(x) = 1,401 + 16x

The formula for calculating the profit function value:

[tex]\to \bold{P(x)= xp(x) - C(x)}[/tex]

             [tex]= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\[/tex]

The formula for calculating the value for maximum profit:

[tex]p'(x) = - 10x + 217 =0[/tex]

[tex]217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7[/tex]

So, the production level is 22 units

Maximum profit:

[tex]\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\[/tex]

           [tex]=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45[/tex]

The maximum monthly revenue of WidgCo is; $489

We are given;

price function; p(x) = 211 - 5x

Cost function; C(x) = 1401 + 16x

We know that revenue would be gotten by the formula;

Revenue = number of units sold × price per unit

Thus;

R(x) = x(211 - 5x)

Expanding this gives;

R(x) = 211x - 5x²

Maximum revenue will be the revenue for the number of widgets when R'(x) = 0. Thus;

R'(x) = 211 - 10x

At R'(x) = 0, we have;

211 - 10x = 0

x = 211/10

x = 21.1

x ≈ 21 widgets

Thus;

Maximum Revenue is;

R(20) = 195(21) - 1401 - 5(21)²

R(20) = $489

Read more about revenue function at; https://brainly.com/question/6394733

What is 0.4 as a percent?

Answers

Answer:40%

.4 is equal to 40%

Which theorem or postulate proves the two triangles are similar?
10
20
5
Not drawn to scale
SSS Theorem
AA Postulate
O AS Postulate
SAS Theorem

Answers

Answer:

sss i think

Step-by-step explanation:

uh im not 100% sure

How many times can 5 go into 33

Answers

Answer:

6 times

Step-by-step explanation:

33÷5

5×5= 25 too little

5×6=30 just right

5×7= 35 too much

Answer:

5,10,15,20,25,30,3- oh wait its only 6 mate... but for a full answer, it would be 6.2

Step-by-step explanation:

i think...

find the value of x.

Answers

Answer:

144

Step-by-step explanation:

Line l passes through the points (- 4, 3) and (2, 1) What is the slope of a line that is perpendicular l

Answers

Answer:

m=1

Step-by-step explanation:

The plots (-4,3) and (2,1) have a slope of -1. Perpendicular lines would mirror that, making it a positive 1

A recipe for homemade modeling clay includes 1/3 cup of salt for every cup of water. If there are 6 cups of salt, how many gallons of water are needed?

Answers

Answer:

Step-by-step explanation:

If for a cup of water, 1/3 cup of salt is needed, to get the number of gallons of water needed for 6 cups of salt, we will use the following equation;

1/3 cup of salts = 1 cup of water

6 cups of salt = x cups of water

cross multiply

1/3 * x= 6*1

x/3 = 6

multiply both sides by 3

x/3 * 3 = 6*3

x = 18

Hence 6 cups of salt will need 18 gallons of water

Jonas wants to serve serve 48 people one cup of tea each. How many gallons of tea must he prepare?

Answers

Answer:

3 gallons

Step-by-step explanation:

1 gallon=16 cups

48÷16=3

3 gallons makes 48 cups

Please help me asap

Answers

Answer:

-8d - 3 + 6 +d

you can't subtract 2d and 3 so you bring what's outside the parenthesis to inside the  parenthesis

If a car travels 82 miles in 1.5 hours, how far will it travel in 6 hours

Answers

Should be 327.6 miles
328 miles in 6 hours because 1.5 x 4 = 6 so 6x82=328

I need help with answering this equation -2x = -16

Answers

Answer:

x= 8

Step-by-step explanation:

Divide -2 on both sides to solve for x

x=8

Answer:

x=8

Step-by-step explanation:

Divide each term by -2 and simplify.

Hope this helps. Plz give brainliest.

An Integrated Circuit (IC) chip is declared as "good" if it passes the quality acceptance test. Otherwise, the chip is declared as "bad". A mechanical machine produces two IC chips in pairs. Tests show that the first chip is good with probability 3/5. When the first chip is good, the probability that the second chip is good is 4/5. When the first chip is bad, the probability that the second chip is good is 2/5. a) What is the probability that both chips are good? b) What is the probability that both chips are bad? c) What is the probability that exactly one chip is good?

Answers

Answer:

a) The probability of both chips being good = 0.48

b) The probability of both chips being bad = 0.24

c) The probability of one chip being good = 0.60

Step-by-step explanation:

Probability of first chip being good = 3/5 = 0.60

Probability of second chip being good = 4/5 = 0.80

Probability of first chip being bad = 0.40 or 2/5 (1 - 3/5)

Probability of second chip being good if the first is bad = 2/5 = 0.4

Therefore, the probability of it being bad = 0.60 (1 - 0.40)

For both chips to be good, the probability = 0.60 * 0.80 = 0.48

For both chips to be bad, the probability = 0.60 * 0.40 = 0.24

If Maggie has 6 feet of ribbon how many sections of ribbon can she cut that are 2/3 of a foot in length

Answers

Answer:

9 sections

Step-by-step explanation:

6÷2/3

6/1×3/2

18/2

9

You can walk 1 1/12 miles in 1/2 hour.

What is your average speed?

Answers

Answer:

3 miles per hour

Step-by-step explanation:

there are (2) 1/2 hours in an hour (I hope that made sense) so multiply 1 1/2 by 2 to get 3

Hope this helps :-)

Chris pays $19.60 for a packof 4 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.

Answers

Answer:$4.90

Step-by-step explanation:

A right rectangular prism is packed with cubes of side length Fraction 1 over 6 inch. If the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?

Answers

a right rectangular cause they 9 cancels the 5

Cuánto es 5 2/3 - 11/12=

Answers

Answer:

4.75

Step-by-step explanation:

Which of the following statements best describes our Sun?

Answers

Answer:

the sun is the closest star to earth.

Answer:

the sun is the closet sun to the earth

Step-by-step explanation:

2) The foundations of any Euclidean geometry, at their most basic, exist on the principal concepts of which of
the following?
a) Undefined terms
c) Postulates
b) Theorems
d) Assumptions

Answers

answer is b- Theorems

Answer:

c im pretty sure but not 100%

Step-by-step explanation:

edge

please solve thanks​

Answers

12x^4y^16 could be wrong not sure
This is the answer I got

Find the product of -5.3(-0.5)

A. 4.1
B. 2.65
C. 2.75
D. 3.45

Answers

Answer: is B 2.65

Step-by-step explanation:

The answer would be B
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