Answer:
its blurry for me.
Step-by-step explanation:
The value of p is 0.6
<h3>What is a binomial expression?</h3>
A binomial expression is an algebraic expression that contains only two terms.
Binomial expansions are used to expand exponents of two terms
The expression is given as:
![px^2(5 + px)^8](https://tex.z-dn.net/?f=px%5E2%285%20%2B%20px%29%5E8)
When the expression in bracket is expanded, one of its term is:
![px^2(5 + px)^8 = px^2 (..........70 \times p^4 \times x^4...........)](https://tex.z-dn.net/?f=px%5E2%285%20%2B%20px%29%5E8%20%3D%20px%5E2%20%28..........70%20%5Ctimes%20p%5E4%20%5Ctimes%20x%5E4...........%29)
So, we have:
![px^2(5 + px)^8 = px^2 (..........70 \times 5^4 \times (px)^4...........)](https://tex.z-dn.net/?f=px%5E2%285%20%2B%20px%29%5E8%20%3D%20px%5E2%20%28..........70%20%5Ctimes%205%5E4%20%5Ctimes%20%28px%29%5E4...........%29)
![px^2(5 + px)^8 = px^2 (..........70 \times 625 \times (px)^4...........)](https://tex.z-dn.net/?f=px%5E2%285%20%2B%20px%29%5E8%20%3D%20px%5E2%20%28..........70%20%5Ctimes%20625%20%5Ctimes%20%28px%29%5E4...........%29)
![px^2(5 + px)^8 = px^2 (..........43750 (px)^4...........)](https://tex.z-dn.net/?f=px%5E2%285%20%2B%20px%29%5E8%20%3D%20px%5E2%20%28..........43750%20%28px%29%5E4...........%29)
![px^2(5 + px)^8 = px^2 (..........43750 p^4x^4...........)](https://tex.z-dn.net/?f=px%5E2%285%20%2B%20px%29%5E8%20%3D%20px%5E2%20%28..........43750%20p%5E4x%5E4...........%29)
Expand the bracket, to get the coefficient of x^6
![px^2(5 + px)^8 = px^2 (..........43750 p^5x^6...........)](https://tex.z-dn.net/?f=px%5E2%285%20%2B%20px%29%5E8%20%3D%20px%5E2%20%28..........43750%20p%5E5x%5E6...........%29)
The coefficient equals 3402.
So, we have:
![43750p^5 = 3402](https://tex.z-dn.net/?f=43750p%5E5%20%3D%203402)
Divide both sides by 43750
![p^5 = 0.07776](https://tex.z-dn.net/?f=p%5E5%20%3D%200.07776)
Take the 5th root of both sides
![p = 0.6](https://tex.z-dn.net/?f=p%20%3D%200.6)
Hence, the value of p is 0.6
Read more about binomial expansions at:
brainly.com/question/13602562
Answer:
V=5,12
Step-by-step explanation:
answer:
483.5
step by step explanation:
2x-45y=22
2x-45(21)=22
2x-945=22
2x =22+945
2x=967
x=483.5
<span>The correct answer is the Option "A": Integer. Then, the text is: "Whenever the solution to a system does not have integer coordinates, it can be difficult or impossible to find the precise answer through graphing."
By definition, the numbers called "Integers" are all the positive numbers (which are known as</span> <span>"Natural numbers"), all the negative numbers and the zero (0) and they are identified with the letter "Z":
Z= </span>{-∞...-3,-2,-1,0,1,2,3...+∞}<span>
</span>