Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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 find the expression for [tex]\( PS \)[/tex] given [tex]\( PR = 4x - 2 \)[/tex] and [tex]\( RS = 3x - 5 \)[/tex], follow these steps:

1. Understand that [tex]\( PS \)[/tex] is the sum of [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex].
2. Add the expressions for [tex]\( PR \)[/tex] and [tex]\( RS \)[/tex]:

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

3. Combine the like terms in the expression:

- Combine the [tex]\( x \)[/tex] terms: [tex]\( 4x + 3x = 7x \)[/tex].
- Combine the constant terms: [tex]\( -2 - 5 = -7 \)[/tex].

So, the expression for [tex]\( PS \)[/tex] will be:

[tex]\[ PS = 7x - 7 \][/tex]

Therefore, the correct expression that represents [tex]\( PS \)[/tex] is:

[tex]\[ 7x - 7 \][/tex]

Among the given options, the correct one is:

[tex]\[ 7x - 7 \][/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 choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.