Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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].
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.