Question
write the equation (11-4y=32 in mapping form
Answers
GPT-4o mini
To write the equation \(11 - 4y = 32\) in mapping form, we first need to isolate the variable \(y\).
1. Start by isolating \(4y\):
\[
11 - 4y = 32
\]
Subtract 11 from both sides:
\[
-4y = 32 - 11
\]
\[
-4y = 21
\]
2. Next, divide both sides by -4 to solve for \(y\):
\[
y = \frac{21}{-4} = -\frac{21}{4}
\]
Now, in mapping form, we can express the original equation, \(11 - 4y = 32\), in terms of a function. Let's say we want to express \(y\) as a function of another variable, typically \(x\).
The final mapping form of the equation could look like this:
\[
f(y) = 11 - 4y - 32 = 0
\]
or just the function relating \(y\) directly as a constant:
\[
y \mapsto -\frac{21}{4}
\]
If you want a specific relationship or function mapping, please provide more context, and I will be happy to assist!
1. Start by isolating \(4y\):
\[
11 - 4y = 32
\]
Subtract 11 from both sides:
\[
-4y = 32 - 11
\]
\[
-4y = 21
\]
2. Next, divide both sides by -4 to solve for \(y\):
\[
y = \frac{21}{-4} = -\frac{21}{4}
\]
Now, in mapping form, we can express the original equation, \(11 - 4y = 32\), in terms of a function. Let's say we want to express \(y\) as a function of another variable, typically \(x\).
The final mapping form of the equation could look like this:
\[
f(y) = 11 - 4y - 32 = 0
\]
or just the function relating \(y\) directly as a constant:
\[
y \mapsto -\frac{21}{4}
\]
If you want a specific relationship or function mapping, please provide more context, and I will be happy to assist!