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4 years ago

14

The graph below shows the water level of a tank that is emptying over time.

1 answer:

Allisa [31]4 years ago

3 0

From inspecting the graph, you can identify the y-intercept and the slope of the line shown.

The y-intercept is 200 gallons.
The slope is

75-200
m = ------------- = -12.5 gallons/minute
10 - 0

Thus, y = 200 gallons - [12.5 gallons/minute ]t

To answer the 2nd question, let t = 12 minutes and calculate y(12).

To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.

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Write 44 as a product of prime factors.

Ann [662]

<u>Answer:</u>

Hence, 11 x 2 x 2 is the product of prime factors.

<u>Step-by-step explanation:</u>

<u>Let's divide by 2's.</u>

=> 44 = 22 x 2
=> 22 x 2 = 11 x 2 x 2

<em>Since 11 is a prime number, we cannot simplify it anymore. Hence, 11 x 2 x 2 is the product of prime factors.</em>

<em /> $BrainiacUser1357$ <em />

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I believe it is A.) 4 + (y / 11)

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Step-by-step explanation:

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Answer:

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Marty and Ethan both wrote a function, but in different ways.

lisabon 2012 [21]

Answer:

Marty's function has larger slope as compared to Ethan's slope.

Step-by-step explanation:

Marty function:

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Writing in mathematical form: $y+3=\frac{1}{3}(x+9)$

Marty has written expression in point-slope form: $y-y_1=m(x-x_1)$ where m is slope

So, comparing Marty's equation with general point-slope form equation we get slope $m=\frac{1}{3}\:or\: 0.3$

Now, Ethan has a table

x y

-4 9.2

-2 9.6

0 10

2 10.4

We can find slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Using any two points, we can find slope of Ethan's equation

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So, we get Marty's slope = 0.3

Ethan's slope = 0.2

So, Marty's function has larger slope as 0.3 is greater than 0.2

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