Which best describes the composition of two functions

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly a

denpristay [2]

As the liquid gets closer to the same temperature as the room, it cools down slower. If you put an glass of hot cocoa in a really cold room, it'll decrease really fast until it's around the same temperature as the room

3 0

3 years ago

Write equation of the line below

vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

(0,0)
(5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Since we have two given points, we can substitute them in the formula.

$\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }$

2. Form an equation.

Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

$\large \boxed{y = mx + b}$

Where m = slope and b = y-intercept. We substitute m = 4/5.

$\large{y = \frac{4}{5} x + b}$

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

$\large \boxed{y = \frac{4}{5} x}$

3. Answer

Therefore the equation of the line is y = 4x/5.

6 0

3 years ago

Jake wants to distribute 543 marbles equally among 7 of his friends . In what place is the first digit of the question?

GrogVix [38]

I don't know if I understand this question that well, but if I am right, the first digit of the question you are asking is 5, and it is in the hundreds place. If this is not what you mean, then can you put more description in this question please?

3 0

3 years ago

10x +7 = -3х – 3 help guys

Pepsi [2]

Answer:

x = -10/13

Step-by-step explanation:

10x + 7 = -3x - 3

Add 3x to both sides

10x + 3x + 7 = -3x + 3x - 3

13x + 7 = 0x - 3

13x + 7 = -3

Subtract 7 from both sides

13x + 7 - 7 = -3 - 7

13x + 0 = -10

13x = -10

Divide both sides by 13

13x ÷ 13 = -10 ÷ 13

1x = -10/13

x = -10/13

6 0

3 years ago

Divide. Write the quotient in the lowest terms.

oee [108]

Answer:

$12/1\frac{1}{5}$ $= 10$

8 0

3 years ago

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