Complete the table for the given values of x. Then use the table to solve the given equation numerically. Complete the table below. X 0. 1 4. - 4x + 12 = 4 4x+ 12 12 - The solution is x =
Complete the table for the given values of x. Then use the table to solve the given equation numerically. Complete the table below. X 0. 1 4. - 4x + 12 = 4 4x+ 12 12 - The solution is x =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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![### Solving Linear Equations Using a Table
In this exercise, we solve the linear equation \(-4x + 12 = 4\) numerically by completing a table for the given values of \(x\). Follow the steps below to fill in the table and find the solution for \(x\).
#### Equation to Solve:
\[
-4x + 12 = 4
\]
#### Steps:
1. Substitute different values of \(x\) into the equation.
2. Record the results in the provided table.
3. Identify the value of \(x\) that satisfies the equation.
#### Table to Fill:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 \\
\hline
-4x + 12 & 12 & \_ & \_ & \_ & \_ \\
\hline
\end{array}
\]
#### Detailed Explanation:
- For \(x=0\):
\[
-4(0) + 12 = 12
\]
Next, calculate the values for \(x=1, 2, 3, 4\):
- For \(x=1\):
\[
-4(1) + 12 = 8
\]
- For \(x=2\):
\[
-4(2) + 12 = 4
\]
- For \(x=3\):
\[
-4(3) + 12 = 0
\]
- For \(x=4\):
\[
-4(4) + 12 = -4
\]
#### Completed Table:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 \\
\hline
-4x + 12 & 12 & 8 & 4 & 0 & -4 \\
\hline
\end{array}
\]
#### Identify the Solution:
Now, look for the value in the table where \(-4x + 12 = 4\):
- When \(x = 2\), \(-4x +](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81d8afae-a4b5-4c3e-b6a2-80b9ed54a305%2Fd7eedc05-ecbb-425f-9448-fc3e786bbddf%2Fgdpv5h8_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Linear Equations Using a Table
In this exercise, we solve the linear equation \(-4x + 12 = 4\) numerically by completing a table for the given values of \(x\). Follow the steps below to fill in the table and find the solution for \(x\).
#### Equation to Solve:
\[
-4x + 12 = 4
\]
#### Steps:
1. Substitute different values of \(x\) into the equation.
2. Record the results in the provided table.
3. Identify the value of \(x\) that satisfies the equation.
#### Table to Fill:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 \\
\hline
-4x + 12 & 12 & \_ & \_ & \_ & \_ \\
\hline
\end{array}
\]
#### Detailed Explanation:
- For \(x=0\):
\[
-4(0) + 12 = 12
\]
Next, calculate the values for \(x=1, 2, 3, 4\):
- For \(x=1\):
\[
-4(1) + 12 = 8
\]
- For \(x=2\):
\[
-4(2) + 12 = 4
\]
- For \(x=3\):
\[
-4(3) + 12 = 0
\]
- For \(x=4\):
\[
-4(4) + 12 = -4
\]
#### Completed Table:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 \\
\hline
-4x + 12 & 12 & 8 & 4 & 0 & -4 \\
\hline
\end{array}
\]
#### Identify the Solution:
Now, look for the value in the table where \(-4x + 12 = 4\):
- When \(x = 2\), \(-4x +
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