Answer: The answer is: f(x) = 2x^2 + 40x + 200
Explanation:
Given: x is the width of the Artwork
Let W be the Width of the Frame
Let L be the Length of the Frame
Width = x + 10
Length = Width * 2, so by substitution, Length = 2(x + 10)
Area = Width * Length
By substitution:
Area = (x + 10) * 2(x + 10)
f(x) = (x + 10) * (2x + 20)
f(x) = 2x^2 + 20x + 20x + 200
f(x) = 2x^2 + 40x + 200
To test this, if a picture 8" wide is put in this frame, the width would be 8+10 or 18 inches. The length would be twice the width, or 36 inches. The Area is 18 x 36 = 648.
Using the formula:
f(8) = (2 * 8^2) + (40 * 8) + 200
f(8) = (2 * 64) + 320 + 200
f(8) = 128 + 320 + 200
f(8) = 648
Effective decision-making means comparing the additional
costs of alternatives with the marginal benefits.
To add, <span>a </span>marginal benefit<span> is the additional satisfaction or utility that a
person receives from consuming an additional unit of a good or service.</span> It
is also the topmost amount he is willing to pay to consume that additional
unit of a good or service.
Answer:
Differential survival indicates that a particular advantageous trait is benefiting a species, allowing the species to survive and produce more offspring. In the case of the Fogg Dam toad, it is evident that they are highly invasive as a species because they have the beneficial traits of long legs and the ability to move both during the day and at night. They also move much faster per day than the established toads in this area. The species passed along these traits to their offspring, giving their babies the ability to run even faster to continue to survive the invasion.
Inheritable personality traits include:
*Smoking habits
*Overall addictions
Less heritable traits include:
*Happiness/angriness
*Learned behavior
Three environmental factors that may influence behavior are:
*Behavior of parents/guardians
*Housing community
*Acquaintances/friends
*Upbeat/peaceful cultural gatherings
Genetics play less of a part in the development of certain personality traits, especially when compared to the environment, because most of it comes from learned behaviors and the activities of other around us. Even things that we expect to be genetic, like eye color, are influenced by the environment (in a different way, of course).
Here's a nice paragraph for you:
A personality trait that is more inheritable than others is smoking/addiction patterns. A child whose mother or father (or both) smoke is much more likely to pick up on smoking than one whose parents don't. As for one that is less heritable, angriness is definitely more influenced by past experiences and the environment in general. Someone with generally angry parents could be the happiest person due to different experiences with life. A child who lives in an aggressive household is more likely to exude anger than one who lives in a happy and calm one. Thus, it is clear that the environment plays the greatest influence on the development of most traits. It even, under some circumstances, can determine the appearance of traits that we expect to be 100% caused by genetics -- even if only .1% is caused by [it].
I hope I helped! :)
I hope I helped! If I skipped a part of the prompt, just tell me and I will gladly answer it. :)
