We appreciate your visit to Select the correct answer A construction company is analyzing which of its older projects need renovation Building B was built two years before Building C. 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 the problem, we need to understand the ages of the buildings in relation to each other:
1. Define [tex]\( x \)[/tex] as the age of Building C.
2. Building B was built two years before Building C. Therefore, the age of Building B is [tex]\( x + 2 \)[/tex].
3. Building D was built two years before Building B. Therefore, the age of Building D is [tex]\( x + 4 \)[/tex].
The problem states that the product of the ages of Building B and Building D must be at least 195. This means:
[tex]\[
(x + 2)(x + 4) \geq 195
\][/tex]
Now, let's expand the left side of the inequality:
- Multiply [tex]\( x + 2 \)[/tex] and [tex]\( x + 4 \)[/tex]:
[tex]\[
(x + 2)(x + 4) = x^2 + 4x + 2x + 8
\][/tex]
Combine like terms:
[tex]\[
x^2 + 6x + 8
\][/tex]
So, the inequality representing the situation is:
[tex]\[
x^2 + 6x + 8 \geq 195
\][/tex]
Therefore, the correct answer is B. [tex]\( x^2 + 6x + 8 \geq 195 \)[/tex].
1. Define [tex]\( x \)[/tex] as the age of Building C.
2. Building B was built two years before Building C. Therefore, the age of Building B is [tex]\( x + 2 \)[/tex].
3. Building D was built two years before Building B. Therefore, the age of Building D is [tex]\( x + 4 \)[/tex].
The problem states that the product of the ages of Building B and Building D must be at least 195. This means:
[tex]\[
(x + 2)(x + 4) \geq 195
\][/tex]
Now, let's expand the left side of the inequality:
- Multiply [tex]\( x + 2 \)[/tex] and [tex]\( x + 4 \)[/tex]:
[tex]\[
(x + 2)(x + 4) = x^2 + 4x + 2x + 8
\][/tex]
Combine like terms:
[tex]\[
x^2 + 6x + 8
\][/tex]
So, the inequality representing the situation is:
[tex]\[
x^2 + 6x + 8 \geq 195
\][/tex]
Therefore, the correct answer is B. [tex]\( x^2 + 6x + 8 \geq 195 \)[/tex].
Thanks for taking the time to read Select the correct answer A construction company is analyzing which of its older projects need renovation Building B was built two years before Building C. 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
