Area=legnth times width
so multiply them together use distributive property
a(b+c)=ab+ac so
in this problem
(a+b)(c+d+e)=(a+b)(c)+(a+b)(d)+(a+b)(e)
so
x^2-2 times (2x^2-x+2)=(x^2)(2x^2-x+2)-(2)(2x^2-x+2)=(2x^4-x^3+2x^2)-(4x^2-2x+4)
add like terms
2x^4-x^3+(2x^2-4x^2)-2x+4
2x^4-x^3-2x^2-2x+4
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and 
- The composite function c(n(h)) is

- The value of c(n(100)) is

- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:

This gives


The function for number of systems is:


<u>(b) Function c(n(h))</u>
In (a), we have:


Substitute n(h) for n in 

Substitute 


<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:



<u>(d) Interpret (c)</u>
In (c), we have: 
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at:
brainly.com/question/10830110
Answer:
(a) $248.285
(b) $249.441
(c) I will prefer to buy the television from online store.
Step-by-step explanation:
The manufacturing price of a television is $170.
(a) The online retailer charges a standard makeup of 27% and an additional 15% charge for shipping and tax.
Therefore the final price will be $](https://tex.z-dn.net/?f=%5B170%281%2B%5Cfrac%7B27%7D%7B100%7D%29%5D%281%2B%5Cfrac%7B15%7D%7B100%7D%20%29)
= $(170 × 1.27 × 1.15)
= $248.285
(b) Now, the superstore has makeup of 34% and then 9.5% charges for state tax.
So, the final price becomes $](https://tex.z-dn.net/?f=%5B170%281%2B%5Cfrac%7B34%7D%7B100%7D%20%29%5D%281%2B%5Cfrac%7B9.5%7D%7B100%7D%29)
= $(170 × 1.34 × 1.095)
= $249.441
(c) So, I will prefer to buy the television from the online store because the final price is less and also the shipping charges are included in the final price. (Answer)
3 rows x 5 chocolates= 15 pieces per layer
15 pieces x 5 layers= 75 chocolates
Answer:
0.000456 in scientific notation
= 4.56 × 10-4
Step-by-step explanation:
Can I have brainliest?