Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Ask your questions and receive precise answers from experienced professionals across different disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

If [tex]\( PR = 4x - 2 \)[/tex] and [tex]\( RS = 3x - 5 \)[/tex], which expression represents [tex]\( PS \)[/tex]?

A. [tex]\( x - 7 \)[/tex]
B. [tex]\( x - 3 \)[/tex]
C. [tex]\( 7x - 7 \)[/tex]
D. [tex]\( 7x + 3 \)[/tex]

Sagot :

GinnyAnswer
To determine the expression for [tex]\( PS \)[/tex], we start by noting that [tex]\( PS \)[/tex] is the sum of [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex].

Given:
[tex]\[ PR = 4x - 2 \][/tex]
[tex]\[ RS = 3x - 5 \][/tex]

We are looking for:
[tex]\[ PS = PR + RS \][/tex]

Now, substitute the given expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex] into the equation for [tex]\( PS \)[/tex]:

[tex]\[ PS = (4x - 2) + (3x - 5) \][/tex]

Next, we simplify this expression by combining like terms:

1. Combine the [tex]\( x \)[/tex] terms:
[tex]\[ 4x + 3x = 7x \][/tex]

2. Combine the constant terms:
[tex]\[ -2 - 5 = -7 \][/tex]

So, the simplified expression for [tex]\( PS \)[/tex] is:
[tex]\[ PS = 7x - 7 \][/tex]

Thus, the expression that represents [tex]\( PS \)[/tex] is:
[tex]\[ \boxed{7x - 7} \][/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.