The equation should be: how many people * daily trash * 365 days in a year = kilograms of trash was thrown away in the United States in 2013
so enter your givens and it's now (we'll use
4.5 × 10–1 kg * 3.2 × 106 * 365=14.4x10^5x365
5256x10^5
525600000
The composite function of the paintings Jenny completes in a year is
![P(J(y))=\frac{1}{2}J(y)+1](https://tex.z-dn.net/?f=P%28J%28y%29%29%3D%5Cfrac%7B1%7D%7B2%7DJ%28y%29%2B1)
<h3>What is a composite function?</h3>
A composite function is a function made of other functions, where the output of one function is the input to the other function.
An example of the composite functions 2x+3 and
together make the composite function ![(2x+3)^{2}](https://tex.z-dn.net/?f=%282x%2B3%29%5E%7B2%7D)
We have ![P(w)=\frac{1}{2}w+1](https://tex.z-dn.net/?f=P%28w%29%3D%5Cfrac%7B1%7D%7B2%7Dw%2B1)
Here, P(w) represents the number of paintings Jenny completes in some w weeks. and
J(y) represents the number of weeks per year.
As J(y) is the number of weeks spent per year in painting, we can calculate the paintings completed in a year by substituting
w as J(y) in the equation we have
Then the equation becomes:![P(J(y))=\frac{1}{2}J(y)+1](https://tex.z-dn.net/?f=P%28J%28y%29%29%3D%5Cfrac%7B1%7D%7B2%7DJ%28y%29%2B1)
Hence this is the composite function that would represent the number of paintings Jenny completes in a year.
Learn more about composite functions here:
brainly.com/question/10687170
#SPJ4
Use associativity and distributivity properties:
![7x^8 + 8x^6 - 2x + 9 - (4x^8 + 3x^7 + 3)=(7-4)x^8-3x^7+8x^6-2x\\+(9-3)\\=3x^8-3x^7+8x^6-2x+6](https://tex.z-dn.net/?f=7x%5E8%20%2B%208x%5E6%20-%202x%20%2B%209%20-%20%284x%5E8%20%2B%203x%5E7%20%2B%203%29%3D%287-4%29x%5E8-3x%5E7%2B8x%5E6-2x%5C%5C%2B%289-3%29%5C%5C%3D3x%5E8-3x%5E7%2B8x%5E6-2x%2B6)
We are done.
Answer:
255
Step-by-step explanation:
(1-15%)a=300
a=255