College Algebra
College Algebra
1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: OpenStax
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Textbook Question
Chapter 2, Problem 1RE

For the following exercises, find the x-intercept and the y-intercept without graphing.

1. 4 x 3 y = 12

Expert Solution & Answer
Check Mark
To determine

To Calculate:

The intercepts on the coordinate axes of the straight line with the given equation4x3y=12

Answer to Problem 1RE

  xintercept=3yintercept=4

Explanation of Solution

Given Information:

The equation4x3y=12

Concept used:

If a straight line passes through the points(a,0)(on thex-axis) and(0,b)(on they-axis) , we say that thexintercept isaand theyintercept isb.

Thexintercept is found by settingy=0and solving fora; similarly, theyintercept is found by settingx=0and solving forb.

Calculation:

For the given equation4x3y=12

  y=04x=12xintercept=3;x=03y=12yintercept=4

Conclusion:

For the given line,xintercept=3andyintercept=4

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Chapter 2 Solutions

College Algebra

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State the excluded values.Ch. 2.2 - Solve the rational equation: 2x2+1x+1=1x2x2.Ch. 2.2 - Find the slope of the line that passes through the...Ch. 2.2 - Given m=4 , find the equation of the line in...Ch. 2.2 - Find the equation of the line in standard from...Ch. 2.2 - Find the equation of the line passing through...Ch. 2.2 - Graph the two lines and determine whether they are...Ch. 2.2 - Find the equation of the line parallel to 5x=7+y...Ch. 2.2 - What does it mean when we say that two lines are...Ch. 2.2 - What is the relationship between the slopes of...Ch. 2.2 - How do we recognize when an equation, for example...Ch. 2.2 - What does it mean when we say that a linear...Ch. 2.2 - When solving the following equation: 2x5=4x+1...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, graph the pair of...Ch. 2.2 - For the following exercises, graph the pair of...Ch. 2.2 - For the following exercises, graph the pair of...Ch. 2.2 - For the following exercises, graph the pair of...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, express the equations...Ch. 2.2 - For the following exercises, express the equations...Ch. 2.2 - For the following exercises, express the equations...Ch. 2.2 - Starting with the point-slope formula yy1=m(xx1) ,...Ch. 2.2 - Starting with the standard form of an equation...Ch. 2.2 - Use the above derived formula to put the following...Ch. 2.2 - Given that the following coordinates are the...Ch. 2.2 - Find the slopes of the diagonals in the previous...Ch. 2.2 - The slope for a wheelchair ramp for a home has to...Ch. 2.2 - If the profit equation for a small business...Ch. 2.2 - For the following exercises, use this scenario:...Ch. 2.2 - For the following exercises, use this scenario:...Ch. 2.2 - For the following exercises, use this scenario:...Ch. 2.3 - Find a linear equation to solve for the following...Ch. 2.3 - Find a linear equation to model this real-world...Ch. 2.3 - On Saturday morning, it took Jennifer 3.6 h to...Ch. 2.3 - Find the dimensions of a rectangle given that the...Ch. 2.3 - A game room has a perimeter of 70 ft. The length...Ch. 2.3 - To set up a model linear equation to fit...Ch. 2.3 - Use your own words to describe tins equation...Ch. 2.3 - If the total amount of money you had to invest was...Ch. 2.3 - If a man sawed a 10-ft board into two sections and...Ch. 2.3 - If Bill was traveling v mi/h, how would you...Ch. 2.3 - For the following exercises, use the information...Ch. 2.3 - For the following exercises, use the information...Ch. 2.3 - For the following exercises, use the information...Ch. 2.3 - For the following exercises, use this scenario:...Ch. 2.3 - For the following exercises, use this scenario:...Ch. 2.3 - For the following exercises, use this scenario:...Ch. 2.3 - For the following exercises, use this scenario:...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For exercises 17 and 18, use this scenario: A...Ch. 2.3 - For exercises 17 and 18, use this scenario: A...Ch. 2.3 - For exercises 17 and 18, use this scenario: A...Ch. 2.3 - Ben starts walking along a path at 4 mi/h. One and...Ch. 2.3 - Fiora starts riding her bike at 20 mi/h. After a...Ch. 2.3 - A chemistry teacher needs to mix a 30% salt...Ch. 2.3 - Paul has $20,000 to invest. 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Subtract 2+5ifrom34i .Ch. 2.4 - Find the product: 12(52i).Ch. 2.4 - Multiply: (34i)(2+3i) .Ch. 2.4 - Find the complex conjugate of 3+4i .Ch. 2.4 - Evaluate: i18Ch. 2.4 - Explain how to add complex numbers.Ch. 2.4 - What is the basic principle in multiplication of...Ch. 2.4 - Give an example to show that the product of two...Ch. 2.4 - What is a characteristic of the plot of a real...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, plot the complex...Ch. 2.4 - For the following exercises, plot the complex...Ch. 2.4 - For the following exercises, plot the complex...Ch. 2.4 - For the following exercises, plot the complex...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - 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The cost function for a certain company is...Ch. 2.5 - A falling object travels a distance given by the...Ch. 2.5 - A vacant lot is being converted into a community...Ch. 2.5 - An epidemiological study of the spread of a...Ch. 2.6 - Evaluate 6413.Ch. 2.6 - Solve the equation x32=125 .Ch. 2.6 - Solve: (x+5)32=8 .Ch. 2.6 - Solve by factoring: 12x4=3x2 .Ch. 2.6 - Solve the radical equation: x+3=3x1Ch. 2.6 - Solve the equation with two radicals: 3x+7+x+2=1.Ch. 2.6 - Solve the absolute value equation: |14x|+8=13 .Ch. 2.6 - Solve using substitution: x48x29=0 .Ch. 2.6 - Solve: (x5)24(x5)21=0.Ch. 2.6 - Solve 3x+2x2+1x=2x22x.Ch. 2.6 - In a radical equation, what does it mean if a...Ch. 2.6 - Explain why possible solutions must be checked in...Ch. 2.6 - Your friend tries to calculate the valut? 932 and...Ch. 2.6 - Explain why |2x+5|=7 has no solutions.Ch. 2.6 - Explain how to change a rational exponent into the...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - 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For the following exercises, solve for the unknown...Ch. 2.6 - For the following exercises, solve for the unknown...Ch. 2.6 - For the following exercises, solve for the unknown...Ch. 2.6 - For the following exercises, solve for the unknown...Ch. 2.6 - For the following exercises, use the model for the...Ch. 2.6 - For the following exercises, use the model for the...Ch. 2.6 - For the following exercises, use a model for body...Ch. 2.6 - For the following exercises, use a model for body...Ch. 2.7 - Use interval notation to indicate all real numbers...Ch. 2.7 - Express all real numbers less than —2 or greater...Ch. 2.7 - Solve: 3x21Ch. 2.7 - Solve: 4x+72x3 .Ch. 2.7 - Solve the inequality and write the answer using...Ch. 2.7 - Solve the inequality and write the answer in...Ch. 2.7 - Solve the compound inequality: 42x810.Ch. 2.7 - Solve the compound inequality: 3y45y5+3y .Ch. 2.7 - Describe all x-values within a distance of 3 from...Ch. 2.7 - Solve 2|k4|6Ch. 2.7 - When solving an inequality, explain what happened...Ch. 2.7 - When solving an inequality, we arrive at: x+2x+3...Ch. 2.7 - When writing our solution in interval notation,...Ch. 2.7 - When solving an inequality, we arrive at: x+2x+3 ....Ch. 2.7 - Describe how to graph y=|x3|Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, describe all the...Ch. 2.7 - For the following exercises, describe all the...Ch. 2.7 - For the following exercises, describe all the...Ch. 2.7 - For the following exercises, describe all the...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, write the set in...Ch. 2.7 - For the following exercises, write the set in...Ch. 2.7 - For the following exercises, write the set in...Ch. 2.7 - For the following exercises, write the set in...Ch. 2.7 - For the following exercises, write the interval in...Ch. 2.7 - For the following exercises, write the interval in...Ch. 2.7 - For the following exercises, write the interval in...Ch. 2.7 - For the following exercises, write the interval in...Ch. 2.7 - For the following exercises, write the set of...Ch. 2.7 - For the following exercises, write the set of...Ch. 2.7 - For the following exercises, write the set of...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - Solve 3x+1=2x+3Ch. 2.7 - Solve x2x12Ch. 2.7 - 61. x5x+70,x7Ch. 2.7 - p=x2+130x3,000 is a profit formula for a small...Ch. 2.7 - In chemistry the volume for a certain gas is given...Ch. 2.7 - A basic cellular package costs $20/mo. for 60 min...Ch. 2 - For the following exercises, find the x-intercept...Ch. 2 - For the following exercises, find the x-intercept...Ch. 2 - For each of the following exercises, solve for y...Ch. 2 - For each of the following exercises, solve for y...Ch. 2 - For the following exercises, find the distance...Ch. 2 - For the following exercises, find the distance...Ch. 2 - For the following exercises, find the distance...Ch. 2 - For the following exercises, find the coordinates...Ch. 2 - For the following exercises, find the coordinates...Ch. 2 - For the following exercises, construct a table and...Ch. 2 - For the following exercises, construct a table and...Ch. 2 - For the following exercises, solve for x. 12....Ch. 2 - For the following exercises, solve for x. 13....Ch. 2 - For the following exercises, solve for x. 14....Ch. 2 - For the following exercises, solve for x. 15....Ch. 2 - For the following exercises, solve for x. 16....Ch. 2 - For the following exercises, solve for x. State...Ch. 2 - For the following exercises, solve for x. 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The longest...Ch. 2 - Solve for x. Write the answer in simplest radical...Ch. 2 - Solve: 3x84.Ch. 2 - Solve: 2x+35.Ch. 2 - Solve: 3x24.Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the equation of...Ch. 2 - For the following exercises, find the real...Ch. 2 - For the following exercises, find the real...
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