Chapter 11: Q. 188 (page 1147)

In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = 2 x + 2 \\ y = - x^{2} + 2 \end{cases}$

Short Answer

Expert verified

The solution of the system is $(- 2, - 2) and (0, 2)$ .

Step by step solution

Step 1. Given Information

The given system of equations is $\{\begin{cases} y = 2 x + 2 \\ y = - x^{2} + 2 \end{cases}$ .

Step 2. Graph the Functions

Plot the graph of $y = 2 x + 2 and y = - x^{2} + 2$ on the same graph.

The blue line represents the first equation and the red line represents the second equation of the system.

Step 3. Determine the point of intersection

From the graph, it is observed that the functions intersect at $(- 2, - 2) and (0, 2)$ .
So, the solution of the system is $(- 2, - 2) and (0, 2)$ .

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In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = 2 x + 2 \\ y = - x^{2} + 2 \end{cases}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graph the Functions

Step 3. Determine the point of intersection

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In the following exercises, solve the system of equations by using graphing.y=2x+2y=-x2+2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graph the Functions

Step 3. Determine the point of intersection

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Discrete Mathematics

Calculus

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = 2 x + 2 \\ y = - x^{2} + 2 \end{cases}$