IF you look at the table you can see f(x) =g(x) when x is -1 f(x) = 2 and g(x)=2.
The same goes for -2.
The answers therefor are -1 and -2
Answer:
9.5 inches per month
Step-by-step explanation:
Given the information about the depth of the pond:
Month 1: 93 in
Month 2: 98 in
Month 3: 112 in
From month 1 to month 3, the average rate of change of the depth of the pond, in inches per month can be calculated using formula

Hence, from month 1 to month 3, what is the average rate of change of the depth of the pond, in inches per month is

At the end of three days,
% of the original amount of liquid remains in Kyle's container .
<u>Step-by-step explanation:</u>
Here we have , Every day 10% of the liquid present in the morning in Kyle's open container will evaporate. At the end of three days, We need to find what percent of the original amount of liquid remains in Kyle's container . Let's find out:
Let's suppose initially we have 100% of liquid present so ,
<u>At day 1:</u>
10% of the liquid present(100%) in the morning in Kyle's open container will evaporate , So left is :
⇒ 
⇒ 
⇒
%
<u>At day 2:</u>
10% of the liquid present(90%) in the morning in Kyle's open container will evaporate , So left is :
⇒ 
⇒ 
⇒
%
<u>At day 3:</u>
10% of the liquid present(81%) in the morning in Kyle's open container will evaporate , So left is :
⇒ 
⇒ 
⇒
%
Therefore , At the end of three days,
% of the original amount of liquid remains in Kyle's container .
Answer:

Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to
and
(doesn't matter which you assign) and use the slope formula:

Let:

The slope is equal to:

Therefore, the slope of this line is -1. In slope-intercept form
,
represents slope, so one of the lines must have a term with
in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

Using the slope formula:

Thus, the slope of the line is 1/3 and the other line must have a term with
in it, eliminating answer choice C and leaving the answer 
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into 