Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Which function has the same graph as [tex]x + y = 11[/tex]?

A. [tex]f(x) = -y + 11[/tex]
B. [tex]f(x) = -x + 11[/tex]
C. [tex]f(x) = x - 11[/tex]
D. [tex]f(x) = y - 11[/tex]

Sagot :

GinnyAnswer
To determine which function has the same graph as the equation [tex]\( x + y = 11 \)[/tex], we will rewrite the equation in a more familiar form.

1. Start with the given equation:
[tex]\[ x + y = 11 \][/tex]

2. Solve for [tex]\( y \)[/tex] to express the equation in the form [tex]\( y = \text{something} \)[/tex]:
[tex]\[ y = -x + 11 \][/tex]

3. Now, let's compare this with the given options:
- Option A: [tex]\( f(x) = -y + 11 \)[/tex]
- Option B: [tex]\( 1(x) = -x + 11 \)[/tex]
- Option C: [tex]\( f(x) = x - 11 \)[/tex]
- Option D: [tex]\( f(x) = y - 11 \)[/tex]

4. Looking at these options, the function that matches the form [tex]\( y = -x + 11 \)[/tex] is:
- Option B: [tex]\( 1(x) = -x + 11 \)[/tex]

Therefore, the function that has the same graph as [tex]\( x + y = 11 \)[/tex] is:

Option B: [tex]\( 1(x) = -x + 11 \)[/tex].
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.