Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
To determine which algebraic expression has a factor of 5, let's analyze each option:
Option A: [tex]\( 5(y - 6) \)[/tex]
This expression is a product where [tex]\( 5 \)[/tex] is multiplied by [tex]\( (y - 6) \)[/tex]. Clearly, [tex]\( 5 \)[/tex] is a factor of this expression.
Option B: [tex]\( -2y + 5 + 3 \)[/tex]
This expression can be simplified by combining like terms:
[tex]\[ -2y + 5 + 3 = -2y + 8 \][/tex]
Here, [tex]\( -2y + 8 \)[/tex] does not have a factor of [tex]\( 5 \)[/tex].
Option C: [tex]\( 3y + 1 \)[/tex]
This expression is already simplified and does not have [tex]\( 5 \)[/tex] as a factor.
Option D: [tex]\( 5y - 7 \)[/tex]
This expression shows [tex]\( 5 \)[/tex] multiplied by [tex]\( y \)[/tex] (since [tex]\( 5 \)[/tex] is the coefficient of [tex]\( y \)[/tex]). Therefore, [tex]\( 5 \)[/tex] is a factor.
So, the expressions with a factor of 5 are:
- Option A: [tex]\( 5(y - 6) \)[/tex]
- Option D: [tex]\( 5y - 7 \)[/tex]
The number of algebraic expressions with a factor of 5 is:
[tex]\[ \boxed{2} \][/tex]
Option A: [tex]\( 5(y - 6) \)[/tex]
This expression is a product where [tex]\( 5 \)[/tex] is multiplied by [tex]\( (y - 6) \)[/tex]. Clearly, [tex]\( 5 \)[/tex] is a factor of this expression.
Option B: [tex]\( -2y + 5 + 3 \)[/tex]
This expression can be simplified by combining like terms:
[tex]\[ -2y + 5 + 3 = -2y + 8 \][/tex]
Here, [tex]\( -2y + 8 \)[/tex] does not have a factor of [tex]\( 5 \)[/tex].
Option C: [tex]\( 3y + 1 \)[/tex]
This expression is already simplified and does not have [tex]\( 5 \)[/tex] as a factor.
Option D: [tex]\( 5y - 7 \)[/tex]
This expression shows [tex]\( 5 \)[/tex] multiplied by [tex]\( y \)[/tex] (since [tex]\( 5 \)[/tex] is the coefficient of [tex]\( y \)[/tex]). Therefore, [tex]\( 5 \)[/tex] is a factor.
So, the expressions with a factor of 5 are:
- Option A: [tex]\( 5(y - 6) \)[/tex]
- Option D: [tex]\( 5y - 7 \)[/tex]
The number of algebraic expressions with a factor of 5 is:
[tex]\[ \boxed{2} \][/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.