High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
1st Edition
ISBN: 9780133185614
Author: Prentice Hall
Publisher: Prentice Hall
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Textbook Question
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Chapter 9.3, Problem 39P

Writing Explain how the number of solutions for a quadratic equation relates to the graph of the function.

Expert Solution & Answer
Check Mark
To determine

To Find:

The relation between the number of solutions from a quadratic equation and a graph of the function.

Explanation of Solution

If the graph of the quadratic function touches the x-axis at two points then it has two solutions.

If the graph of the quadratic function touches the x-axis at one point then it has one solution.

If the graph of the quadratic function does not meet the x-axis then it has no real solution.

Therefore, the number of solution of the quadratic equation relates to the graph of the function in this manner.

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Chapter 9.3, Problem 38P
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Chapter 9 Solutions

High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9

Ch. 9.1 - Identify the vertex of each graph. Tell whether it...Ch. 9.1 - Identity the vertex of each graph. Tell whether it...Ch. 9.1 - Identify the vertex of each graph. Tell whether it...Ch. 9.1 - Graph each function. f(x)=3x2Ch. 9.1 - Graph each function. f(x)=2.5x2Ch. 9.1 - Graph each function. f(x)=15x2Ch. 9.1 - Order each group of quadratic function from widest...Ch. 9.1 - Order each group of quadratic functions from...Ch. 9.1 - Order each group of quadratic function from widest...Ch. 9.1 - Order each group of quadratic functions from...
Ch. 9.1 - Graph each function. f(x)=x2+1Ch. 9.1 - Graph each function. f(x)=x22Ch. 9.1 - Graph each functions. f(x)=2x2+1Ch. 9.1 - Graph each functions. f(x)=12x2+5Ch. 9.1 - Graph each function. f(x)=3x24Ch. 9.1 - Graph each function. f(x)=5x210Ch. 9.1 - For a physics experiment, the class drops a golf...Ch. 9.1 - A relief organization flew over a village and...Ch. 9.1 - Identify the domain and range of each function....Ch. 9.1 - Identify the domain and range of each function....Ch. 9.1 - Identify the domain and range of each function....Ch. 9.1 - Identify the domain and range of each function....Ch. 9.1 - Use a graphing calculator to graph each function....Ch. 9.1 - Use a graphing calculator to graph each function....Ch. 9.1 - Use a graphing calculator to graph each function....Ch. 9.1 - Writing Discuss how the function y=x2+4 differs...Ch. 9.1 - Writing Explain how you can determine if the...Ch. 9.1 - For Exercises 1-4, choose the correct letter. What...Ch. 9.1 - For Exercises 1-4, choose the correct letter....Ch. 9.1 - For Exercises 1-4, choose the correct letter....Ch. 9.1 - For Exercises 1-4, choose the correct letter. What...Ch. 9.1 - A ball fell off a cliff into the river from a...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Find the equation of the axis of symmetry and the...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - A punter kicked the football into the air with an...Ch. 9.2 - A disc is thrown into the air with an upward...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Graph each function. Label the axis of symmetry...Ch. 9.2 - Open-Ended For Exercises 24-26, given an example...Ch. 9.2 - Open-Ended For Exercises 24-26, given an example...Ch. 9.2 - Open-Ended For Exercises 24-26, given an example...Ch. 9.2 - A fountain that is 5 feet tall sprays water into...Ch. 9.2 - The parabola shown at the right is of the form...Ch. 9.2 - For Exercises 1-5, choose the correct letter....Ch. 9.2 - For Exercises 1-5, choose the correct letter. What...Ch. 9.2 - For Exercises 1-5, choose the correct letter. What...Ch. 9.2 - For Exercises 1-5, choose the correct letter.Ch. 9.2 - For Exercises 1-5, choose the correct letter....Ch. 9.2 - A golf ball is driven in the air toward the hole...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Solve each equation by graphing the related...Ch. 9.3 - Model each problem with a quadratic equation. Then...Ch. 9.3 - Model each problem with a quadratic equation. Then...Ch. 9.3 - Model each problem with a quadratic equation. Then...Ch. 9.3 - Model each problem with a quadratic equation. Then...Ch. 9.3 - Model each problem with a quadratic equation. Then...Ch. 9.3 - Mental Math Tell how many solutions each equation...Ch. 9.3 - Mental Math Tell how many solutions each equation...Ch. 9.3 - Mental Math Tell how many solutions each equation...Ch. 9.3 - Solve each equation by finding square roots. If...Ch. 9.3 - Solve each equation by finding square roots. If...Ch. 9.3 - Solve each equation by finding square roots. If...Ch. 9.3 - Solve each equation by finding square roots. If...Ch. 9.3 - Solve each equation by finding square roots. If...Ch. 9.3 - Solve each equation by finding square roots. If...Ch. 9.3 - Find the value of n such that the equation x2n=0...Ch. 9.3 - Find the value of x for the square and triangle....Ch. 9.3 - Find the value of x for the square and triangle....Ch. 9.3 - Writing Explain how the number of solutions for a...Ch. 9.3 - For Exercises 1-7, choose the correct letter. What...Ch. 9.3 - For Exercises 1-7, choose the correct letter. What...Ch. 9.3 - For Exercises 1-7, choose the correct letter. What...Ch. 9.3 - For Exercises 1-7, choose the correct letter. What...Ch. 9.3 - For Exercises 1-7, choose the correct letter. What...Ch. 9.3 - For Exercises 1-7, choose the correct letter. What...Ch. 9.3 - For Exercises 1-7, choose the correct letter. What...Ch. 9.3 - A ball is dropped from the top of a building that...Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - Solve by factoring. n2+2n15=0Ch. 9.4 - Solve by factoring. a215a+56=0Ch. 9.4 - Solve by factoring. z210z+24=0Ch. 9.4 - Solve by factoring. 8x2+10x+3=0Ch. 9.4 - Solve by factoring. 3b2+7b6=0Ch. 9.4 - Solve by factoring. 5p29p2=0Ch. 9.4 - Solve by factoring. w2+w=12Ch. 9.4 - Solve by factoring. s2+12s=32Ch. 9.4 - Solve by factoring. d2=5dCh. 9.4 - Solve by factoring. 3j220j=12Ch. 9.4 - Solve by factoring. 12y2+40y=7Ch. 9.4 - Solve by factoring. 27r2+69r=8Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - Use the Zero-Product Property to solve each...Ch. 9.4 - The volume of a sandbox shaped like a rectangular...Ch. 9.4 - The area of the rubber coating for a flat roof was...Ch. 9.4 - Ling is cutting carpet for a rectangular room. The...Ch. 9.4 - Write each equation in standard form. Then solve....Ch. 9.4 - Write each equation in standard form. Then solve....Ch. 9.4 - Find the value of x as it relates to each...Ch. 9.4 - Find the value of x as it relates to each...Ch. 9.4 - Find the value of x as it relates to each...Ch. 9.4 - Find the value of x as it relates to each...Ch. 9.4 - Reasoning For each equation, find k and the value...Ch. 9.4 - Reasoning For each equation, find k and the value...Ch. 9.4 - Reasoning For each equation, find k and the value...Ch. 9.4 - Writing Explain how you solve a quadratic equation...Ch. 9.4 - Solve each exercise and enter your answer on the...Ch. 9.4 - Solve each exercise and enter your answer on the...Ch. 9.4 - Solve each exercise and enter your answer on the...Ch. 9.4 - Solve each exercise and enter your answer on the...Ch. 9.4 - Solve each exercise and enter your answer on the...Ch. 9.5 - Find the value of c such that each expression is a...Ch. 9.5 - Find the value of c such that each expression is a...Ch. 9.5 - Find the value of c such that each expression is a...Ch. 9.5 - Find the value of c such that each expression is a...Ch. 9.5 - Find the value of c such that each expression is a...Ch. 9.5 - Find the value of c such that each expression is a...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - Solve each equation by completing the square. If...Ch. 9.5 - The rectangle shown at the right has an area of 56...Ch. 9.5 - What are all of the values of c that will make...Ch. 9.5 - What are all of the values of c that will make...Ch. 9.5 - Solve each equation. If necessary, round to the...Ch. 9.5 - Solve each equation. If necessary, round to the...Ch. 9.5 - Solve each equation. If necessary, round to the...Ch. 9.5 - Solve each equation. If necessary, round to the...Ch. 9.5 - Solve each equation. If necessary, round to the...Ch. 9.5 - Solve each equation. If necessary, round to the...Ch. 9.5 - Solve each equation. If necessary, round to the...Ch. 9.5 - Solve each equation. If necessary, round to the...Ch. 9.5 - Writing Discuss the strategies of graphing,...Ch. 9.5 - The height of a triangle is 4x inches and the base...Ch. 9.5 - The formula for finding the volume of a...Ch. 9.5 - Writing In order to solve a quadratic equation by...Ch. 9.5 - For Exercises 1-6, choose the correct letter. What...Ch. 9.5 - For Exercises 1-6, choose the correct letter. What...Ch. 9.5 - For Exercises 1-6, choose the correct letter....Ch. 9.5 - For Exercises 1-6, choose the correct letter....Ch. 9.5 - For Exercises 1-6, choose the correct letter. The...Ch. 9.5 - For Exercises 1-6, choose the correct letter. A...Ch. 9.5 - The area of a rectangular television screen is...Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - Use the quadratic formula to solve each equation....Ch. 9.6 - A basketball is passed through the air. The height...Ch. 9.6 - Which method (s) would you choose to solve each...Ch. 9.6 - Which method (s) would you choose to solve each...Ch. 9.6 - Which method (s) would you choose to solve each...Ch. 9.6 - Which method (s) would you choose to solve each...Ch. 9.6 - Which method (s) would you choose to solve each...Ch. 9.6 - Which method (s) would you choose to solve each...Ch. 9.6 - Writing Explain how the discriminant can be used...Ch. 9.6 - Find the number of real-number solutions of each...Ch. 9.6 - Find the number of real-number solutions of each...Ch. 9.6 - Find the number of real-number solutions of each...Ch. 9.6 - Find the number of real-number solutions of each...Ch. 9.6 - Find the number of real-number solutions of each...Ch. 9.6 - Find the number of real-number solutions of each...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - Use any method to solve each equation. If...Ch. 9.6 - The weekly profit of a company is modeled by the...Ch. 9.6 - Reasoning The equation 4x2+bx+9=0 has no...Ch. 9.6 - Open-Ended Describe three different methods to...Ch. 9.6 - For Exercises 1-6, choose the correct letter....Ch. 9.6 - For Exercises 1-6, choose the correct letter. What...Ch. 9.6 - For Exercises 1-6, choose the correct letter. What...Ch. 9.6 - For Exercises 1-6, choose the correct letter....Ch. 9.6 - For Exercises 1-6, choose the correct letter. How...Ch. 9.6 - For Exercises 1-6, choose the correct letter. The...Ch. 9.6 - The fight of a baseball that has been hit when it...Ch. 9.7 - Graph each set of points. Which model is most...Ch. 9.7 - Graph each set of points. Which model is most...Ch. 9.7 - Graph each set of points. Which model is most...Ch. 9.7 - Graph each set of points. Which model is most...Ch. 9.7 - Graph each set of points. Which model is most...Ch. 9.7 - Graph each set of points. Which model is most...Ch. 9.7 - Graph each set of points. Which model is most...Ch. 9.7 - Graph each set of points. Which model is most...Ch. 9.7 - Which type of function best models Is the data in...Ch. 9.7 - Which type of function best models Is the data in...Ch. 9.7 - Which type of function best models Is the data in...Ch. 9.7 - Which type of function best models the ordered...Ch. 9.7 - Which type of function best models the ordered...Ch. 9.7 - Which type of function best models the data in...Ch. 9.7 - Which type of function best models the data in...Ch. 9.7 - Which type of function best models the data in...Ch. 9.7 - Which type of function best models the data in...Ch. 9.7 - Which type of function best models the data in...Ch. 9.7 - Which type of function best models the data in...Ch. 9.7 - Which type function best models the data in each...Ch. 9.7 - Which type function best models the data in each...Ch. 9.7 - Which type function best models the data in each...Ch. 9.7 - Which type function best models the data in each...Ch. 9.7 - Which type function best models the data in each...Ch. 9.7 - Which type function best models the data in each...Ch. 9.7 - The population of a city for years since 2000 is...Ch. 9.7 - For Exercises 1-4, choose the correct letter....Ch. 9.7 - For Exercises 1-4, choose the correct letter....Ch. 9.7 - For Exercises 1-4, choose the correct letter. What...Ch. 9.7 - For Exercises 1-4, choose the correct letter. The...Ch. 9.7 - The data in the table show the population growth...Ch. 9.8 - Solve each system by graphing. y=x2+2 y=x+2Ch. 9.8 - Solve each system by graphing. y=x2 y=2xCh. 9.8 - Solve each system by graphing. y=x25 y=x3Ch. 9.8 - Solve each system by graphing. y=x2+1 y=x+1Ch. 9.8 - Solve each system by graphing. y=x24x2 y=x2Ch. 9.8 - Solve each system by graphing. y=x26x7 y=x+1Ch. 9.8 - Solve each system by graphing. y=x2 y=x+2Ch. 9.8 - Solve each system by graphing. y=x24 y=x2Ch. 9.8 - Solve each system by graphing. y=x22x+2 y=2x2Ch. 9.8 - Solve each system by graphing. y=x2+4x3 y=x+1Ch. 9.8 - Solve each system by graphing. y=x2+2x+4 y=x+4Ch. 9.8 - Solve each system by graphing. y=x2x6 y=2x2Ch. 9.8 - The weekly profits of two different companies...Ch. 9.8 - The populations of two different cities are...Ch. 9.8 - Solve each system using substitution. y=x2+x60...Ch. 9.8 - Solve each system using substitution. y=x23x+7...Ch. 9.8 - Solve each system using substitution. y=x22x5 y=x5Ch. 9.8 - Solve each system using substitution. y=x22x4...Ch. 9.8 - Solve each system using substitution. y=x2+6x xy=4Ch. 9.8 - Solve each system using substitution. y=x2+4x15...Ch. 9.8 - Solve each system using substitution. y=x2+5x+13...Ch. 9.8 - Solve each system using a graphing calculator....Ch. 9.8 - Solve each system using a graphing calculator....Ch. 9.8 - Solve each system using a graphing calculator....Ch. 9.8 - Solve each system using a graphing calculator....Ch. 9.8 - Solve each system using a graphing calculator....Ch. 9.8 - Reasoning What are the solutions of the system...Ch. 9.8 - Writing Explain why a system of linear and...Ch. 9.8 - Reasoning the graph at the right shows a quadratic...Ch. 9.8 - For Exercises 1-4, choose the correct letter....Ch. 9.8 - For Exercises 1-4, choose the correct letter. What...Ch. 9.8 - For Exercises 1-4, choose the correct letter. What...Ch. 9.8 - For Exercises 1-4, choose the correct letter. An...Ch. 9.8 - Graph the following system of equations. How many...

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