Explanation Given: The set of inequality is { x 2 + y 2 ≤ 1 y − x 2 > 0 Graph: Consider, the provided inequalities { x 2 + y 2 ≤ 1 y − x 2 > 0 . Rewrite the corresponding equationsby substituting “equal to” symbol in the place of inequality symbols as shown below: x 2 + y 2 = 1 y − x 2 = 0 First, consider the equation x 2 + y 2 = 1 and put y = 0 in the equation to compute the value of x -intercept as shown below: x 2 + 0 = 1 x 2 = 1 x = ± 1 Thus, the obtained coordinates are ( 1 , 0 ) , ( − 1 , 0 ) . Now, put x = 0 in the equation to find the value of y -intercept as shown below: x 2 + y 2 = 1 y 2 = 1 y = ± 1 Thus, the obtained coordinates are ( 1 , 0 ) , ( − 1 , 0 ) . This is an equation of circle with radius 1centeredat ( 0 , 0 ) . Consider the equation y − x 2 = 0 and put y = 0 in the equation to compute the value of x -intercept as shown below: 0 − x 2 = 0 x = 0 Thus, the obtained coordinates are ( 0 , 0 )

Algebra And Trigonometry 6th. Edition Annotated Instructor's Copy Blitzer

6th Edition

ISBN: 9780134466088

Author: Blitzer

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 8.5, Problem 53E

To determine

To graph: The sketch of the solution set of the inequalities {x2+y2≤1y−x2>0 or indicate that the system has no solution.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.5, Problem 52E

Chapter 8.5, Problem 54E

Students have asked these similar questions

Name: Tay Jones Level Two Date: Algebra 3 Unit 3: Functions and Equations Practice Assessment Class: #7-OneNote 1. The function f(x) = x² is transformed in the following functions. List the vertex for each function, circle whether the function opens up or down, and why. All three parts must be correct to receive Level 2 points. You can receive points for a, b, and c. a) g(x) = -2(x+5)² Vertex: Opens Up Opens Down Why? ais negative -2 Vertex: b) g(x) = (x + 2)² - 3 c) g(x) = -4(x + 2)² + 2 Opens Up Opens Down Vertex: Opens Up Opens Down Why? 4 Ca is negative) Why? his positive 2. The graph of the function f(x) is shown below. Find the domain, range, and end behavior. Then list the values of x for which the function values are increasing and decreasing. f(x) Domain: End Behavior: As x → ∞o, f(x) -> -6 As x, f(x) -> Range: Where is it Increasing? (002] Where is it Decreasing? (1,00)

Show what to do on the graph visually please!

The county's new asphalt paving machine can surface 1 km of highway in 10 h. A much older machine can surface 1 km in 18 h. How long will it take them to surface 21 km of highway if they start at opposite ends and work day and night?

Chapter 8 Solutions

Algebra And Trigonometry 6th. Edition Annotated Instructor's Copy Blitzer

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

To graph: The sketch of the solution set of the inequalities { x 2 + y 2 ≤ 1 y − x 2 > 0 or indicate that the system has no solution.

Solution Summary: The author explains how to graph the solution set of the inequality cx2+y

Videos

To graph: The sketch of the solution set of the inequalities {x2+y2≤1y−x2>0 or indicate that the system has no solution.

Want to see the full answer?

Chapter 8 Solutions

To graph: The sketch of the solution set of the inequalities { x 2 + y 2 ≤ 1 y − x 2 &gt; 0 or indicate that the system has no solution.

Solution Summary: The author explains how to graph the solution set of the inequality cx2+y

Videos

To graph: The sketch of the solution set of the inequalities {x2+y2≤1y−x2>0 or indicate that the system has no solution.

Want to see the full answer?

Chapter 8 Solutions

To graph: The sketch of the solution set of the inequalities { x 2 + y 2 ≤ 1 y − x 2 > 0 or indicate that the system has no solution.