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3 years ago

Which relation is a function?

Mathematics

2 answers:

Alja [10]3 years ago

3 0

Answer:

the answer is the first option.

miskamm [114]3 years ago

3 0

Answer:

Option A

Step-by-step explanation:

A) {(1, 3), (2, 6), (3, 9), (4, 12)} - Yes, all input-outputs are unique

B) {(1,4), (1, 3), (1, 2), (1, 1) - No, repeat inputs (1)

C) {(3, 4), (2, 4), (5, 1), (3,5)} - No, repeat inputs (3)

D) {(3, 4), (3, 3), (1, 2), (1,5)} - No, repeat inputs (1 and 3)

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Sabrina is ordering a custom circular glass table for her dining room the tables are ordered based on the area of the table top

geniusboy [140]

The circumference would be 30 ft, which comes from 6 people have 5ft of space each. 6 x 5 = 30. Which means the diameter is 9.55414013; Circumference divided by pi is the diameter. Once you divide the diameter by 2 for the radius, you get 4.777 which can be used to find the area of the table top. Area is pi x radius x radius = 3.14 x 4.777 x 4.777 =71.654 ft^2

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3 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

inn [45]

Answer:

Product A has a greater percentage change in price.

Step-by-step explanation:

Part A:

The price f product A, f (x) after x years is given by:

$f(x) = 0.69\cdot(1.03)^{x}$

After x = 0 years, the price of product A is:

$f(0) = 0.69\cdot(1.03)^{0}=0.69$

After x = 1 years, the price of product A is:

$f(1) = 0.69\cdot(1.03)^{1}=0.69\cdot (1+0.03)=0.69\cdot (1+3\%)$

After 1 year, the price of product A is 3% times more than the original price.

This means that after one year, the new price is 103% of the original price, which means the price product A is increasing by 3%.

Again after x = 2 years, the price of product A is:

$f(2) = 0.69\cdot(1.03)^{2}=[0.69\cdot (1+3\%)]\times (1.03)$

This implies that after 2 years, the price of product A is 103% of the price after year 1.

This implies that the price of product A is 3% more than the previous year.

Thus, the price of product A is increasing each year by 3%.

Part B:

The data for Product B is as follows:

Time (t) Price [f (t)]

1 10,100

2 10,201

3 10,303.01

4 10,406.04

Product B is clearly increasing in price.

Consider the changes in price of Product B in the following intervals of years:

Year 1 - Year 2:

Price in year 1 = $10,100

Price in Year 2 = $10,201

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10201-10100}{10100}=0.01=1\%$

Year 2 - Year 3:

Price in Year 2 = $10,201

Price in year 3 = $10,303.01

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10303.01-10201}{10201}=0.01=1\%$

Year 3 - Year 4

Price in year 3 = $10,303.01

Price in Year 4 = $10,406.04

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10,406.04-10303.01}{10303.01}=0.09999\approx 0.01=1\%$

It is quite clear that the price of product B increases by 1% each year.

Thus, Product A has a greater percentage change in price.

3 0

3 years ago

There are 48 cards in a pack and each card is either red or black.

Anon25 [30]

Answer:

Step-by-step explanation:

Red:black = 1:1

Red cards = x

Black cards =x

x + x = 48

2x = 48

x = 48/2

x = 24

No. of red cards = 24

No of black cards = 24

Now 8 red cards are removed

So, No. of red cards = 24 - 8 =16

Red: Black = 16:24

$=\frac{16}{24}=\frac{2}{3}$

Red: Black = 2:3

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Mumz [18]

In most cases, a private company is owned by the company's founders, management, or a group of private investors. A public company is a company that has sold all or a portion of itself to the public via an initial public offering.

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3 years ago

The graph below represents the dimensions of a rectangle. What type of variation do the adjacent side lengths exhibit?

schepotkina [342]

The answer is b because if you look there is no Direct variation

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4 years ago

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