All categories

3 years ago

Think about whether these ordered pairs represent a function. Then use the drop-

Mathematics

1 answer:

Lostsunrise [7]3 years ago

4 0

Answer: All x-coordinates are different, so this relation is a function.

Having the same y value more than once is not a problem for a function.

"This (does not/does) represents a function because different (x values/y values) can have the same (x values/y values)."

Step-by-step explanation:

You might be interested in

These figures are congruent. What is QR? If you put a link I WILL be reporting you!

Westkost [7]

46
I believe this is correct, if not lmk!

5 0

3 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

P(0) = 0 and P(50) = 1,500,000

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The integrating factor is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

4 years ago

19. Write an equation to represent the relationship

balandron [24]

Answer:

y = x +3

Step-by-step explanation:

When you examine the table, you see that each y-value is 3 more than the corresponding x-value. This is represented in the equation ...

y = x +3

8 0

2 years ago

Sutract 5a -3b +2b from a-4b -2c

Alborosie

Step-by-step explanation:

-4a-5b-2c I think that is the best answer

8 0

3 years ago

Read 2 more answers

Measurement of a circle (Giving brainliest for the correct answer)

docker41 [41]

Answer:

A. $\frac{5}{6}\pi x^2$

Step-by-step explanation:

Central angle of shaded part

$\theta = 360\degree-60\degree= 300\degree$

Radius (r) = x unit

Area of the shaded part of $\odot K$

$= \frac{\theta}{360\degree} \times \pi r^2$

$= \frac{300\degree}{360\degree} \times \pi x^2$

$= \frac{5}{6}\pi x^2$

7 0

3 years ago