Answer:
A. 5
Step-by-step explanation:
The marginal benefit of an article, 
is calculated as:
Where 
is the change in the total benefit of the article, and 
is the change in the units of the article.
If we want to know the marginal benefit of watching the 3rd game, we need to use the information of total benefit of watching 2 games and 3 games.
In this case, the total benefit of watching 2 games is 120 and the total benefit of watching 3 games is 125, so and are equal to:
Then, the marginal benefit of watching the third game is:
Answer:
Mean: 6.25
Median: 5
Range: 15
Mode: 2, 5, each appeared 3 times
Step-by-step explanation:
Answer:
Increasing: 
Decreasing: 
Step-by-step explanation:
So when an equation has and odd degree, it will go in the opposite direction on both ends, so if y went towards infinity as x went towards infinity, then y would go towards negative infinity as x goes towards negative infinity. In this case, by looking at the graph it has an odd degree, due to opposite end behaviors, although on both ends it's increasing because even though it appears that it's going down on the left side, that's only if you start from the right and go towards the left. So it's really increasing from negative infinity to -1, and then it decreases from -1 to 2, until it once again starts increasing from 2 to infinity. This can be represented as (-infinity, -1) U (2, infinity) for increasing and (-1, 2) as decreasing
Answer: 
<u>Step-by-step explanation:</u>
(1, 2) and (4, -3)
First, find the slope (m): 
m = 
= 
Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)
y - 2 = (x - 1)
y - 2 = 
+ 
y = + 
Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):
y ___ +
8 ___ 
+
8 ___ 
8 >
so ≤ makes the statement False
⇒ y ≤ +
****************************************************************
If you need a "system" of inequalities, then you need another equation.
There are infinite possibilities. Graph the points to see what works.
y < 8 or x > -2 are two examples.
---> I just realized that the system can be simpler than what I did above:
9514 1404 393
Answer:
$67,516
Step-by-step explanation:
"Depreciates" means the value is getting smaller. The function that describes the situation is a <em>decay</em> function:
y= a(1-r)^x
Here, a=150000, r = 0.07, and x=11. The value is predicted to be ...
y = 150000(1 -0.07)^11 = 150000(0.93^11) = 67,515.53
The house is worth about $67,516 in 2013.
