We appreciate your visit to Select the correct answer For the next five years a dairy company wants to increase its daily milk processing capacity in gallons according to the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve how many years it will take for the dairy company to reach a processing capacity of 630 gallons per day, we need to find when the output of the given equation equals 630.
The equation given is:
[tex]\[ y = x^6 - 9x^4 + 70x^2 \][/tex]
We set this equation equal to 630, since we want to find the value of [tex]\( x \)[/tex] (number of years) when the output is 630 gallons:
[tex]\[ x^6 - 9x^4 + 70x^2 = 630 \][/tex]
To solve this, let's rearrange the equation:
[tex]\[ x^6 - 9x^4 + 70x^2 - 630 = 0 \][/tex]
This is a polynomial equation in terms of [tex]\( x \)[/tex]. Our goal is to find the values of [tex]\( x \)[/tex] that satisfy this equation, meaning we solve for [tex]\( x \)[/tex]:
1. Solve for the roots of the polynomial [tex]\( x^6 - 9x^4 + 70x^2 - 630 = 0 \)[/tex].
2. Check the real and non-negative roots to ensure they are suitable for our context, as years cannot be negative, and it must be a non-negative real number.
After solving, we find that:
- The real, non-negative root is [tex]\( x = 3 \)[/tex].
Thus, it will take 3 years for the dairy company to be able to process 630 gallons of milk in a day. Therefore, the correct answer is:
B. 3 years
The equation given is:
[tex]\[ y = x^6 - 9x^4 + 70x^2 \][/tex]
We set this equation equal to 630, since we want to find the value of [tex]\( x \)[/tex] (number of years) when the output is 630 gallons:
[tex]\[ x^6 - 9x^4 + 70x^2 = 630 \][/tex]
To solve this, let's rearrange the equation:
[tex]\[ x^6 - 9x^4 + 70x^2 - 630 = 0 \][/tex]
This is a polynomial equation in terms of [tex]\( x \)[/tex]. Our goal is to find the values of [tex]\( x \)[/tex] that satisfy this equation, meaning we solve for [tex]\( x \)[/tex]:
1. Solve for the roots of the polynomial [tex]\( x^6 - 9x^4 + 70x^2 - 630 = 0 \)[/tex].
2. Check the real and non-negative roots to ensure they are suitable for our context, as years cannot be negative, and it must be a non-negative real number.
After solving, we find that:
- The real, non-negative root is [tex]\( x = 3 \)[/tex].
Thus, it will take 3 years for the dairy company to be able to process 630 gallons of milk in a day. Therefore, the correct answer is:
B. 3 years
Thanks for taking the time to read Select the correct answer For the next five years a dairy company wants to increase its daily milk processing capacity in gallons according to the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
