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College Algebra 11th Edition Michael Sullivan, Michael Sullivan III - Solutions

In Problems 31–40, plot each point. Then plot the point that is symmetric to it with respect to (a) the x-axis; (b) the y-axis; (c) the origin. (-2,1)
In Problems 33–38, a point on a line and its slope are given. Find the point-slope form of the equation of the line. P = (1, 2); m = 3
The time t that it takes to get to school varies inversely with your average speed s. (a) Suppose that it takes you 40 minutes to get to school when your average speed is 30 miles per hour. Express the driving time to school in terms of average speed. (b) Suppose that your average speed
The volume V of a gas held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cm3) when the pressure is 150 millimeters of mercury (mm Hg), find the volume when the pressure is 200 mm Hg.
In Problems 25–32, graph the line that contains the point P and has slope m. P = (1,3);m = VÍN 2 5
In Problems 19–30, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts. 5x + 2y = 10
In Problems 39–46, find the midpoint of the line segment joining the points P1 and P2. P₁ = (-1,4); P₂ = (8,0)
In Problems 31–40, plot each point. Then plot the point that is symmetric to it with respect to (a) the x-axis; (b) the y-axis; (c) the origin. (5,-2)
The current i in a circuit is inversely proportional to its resistance Z measured in ohms. Suppose that when the current in a circuit is 30 amperes, the resistance is 8 ohms. Find the current in the same circuit when the resistance is 10 ohms.
In Problems 33–38, a point on a line and its slope are given. Find the point-slope form of the equation of the line. P = (2,1); m = 4
In Problems 19–32, find the distance d between the points P1 and P2. P₁ = (a,b); P₂ = (0,0)
In Problems 31–40, plot each point. Then plot the point that is symmetric to it with respect to (a) the x-axis; (b) the y-axis; (c) the origin. (5,3)
In Problems 56–59, solve each equation. 73|4x7 4 = =
In Problems 53–78, find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.Slope = -2; y-intercept = -2
In Problems 73–76, graph each equation. 3 y = x³
The Sunrise Kempinski Hotel in Beijing, China, is a vertically circular building whose outline is described by the equation x2 + y2 - 78y - 1843 = 0 if the center of the building is on the y-axis. If x and y are in meters, what is the height of the building?
In Problems 56–59, solve each equation.10x2 = 117 - 19x
In Problems 57–72, list the intercepts and test for symmetry. y = x² + 4
In Problems 57–72, list the intercepts and test for symmetry. У II 4x x² + 16
In Problems 57–72, list the intercepts and test for symmetry. y x² - 4 2x
In Problems 57–72, list the intercepts and test for symmetry. y = - x³ x²-9
In Problems 57–72, list the intercepts and test for symmetry. y 4+1 2r5
In Problems 53–78, find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. Perpendicular to the line y point (1, -2) 1 x + 4; containing the
In Problems 57–72, list the intercepts and test for symmetry. x² - y - 4 = 0
In Problems 57–72, list the intercepts and test for symmetry. 4x² + y² = 4
Poverty thresholds are determined by the U.S. Census Bureau. A poverty threshold represents the minimum annual household income for a family not to be considered poor. In 2009, the poverty threshold for a family of four with two children under the age of 18 years was $21,756. In 2017, the poverty
In Problems 57–72, list the intercepts and test for symmetry. 25x² + 4y² = 100
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the area and circumference of a circle of radius 13 cm.
In Problems 57–72, list the intercepts and test for symmetry. y = x³ - 64
In Problems 57–72, list the intercepts and test for symmetry. 4 y = x − 1 -
Refer to Problem 64. Overlay a rectangular coordinate system on a Little League baseball diamond so that the origin is at home plate, the positive x-axis lies in the direction from home plate to first base, and the positive y-axis lies in the direction from home plate to third base. Data in
In Problems 53–78, find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.x-intercept = 2; y-intercept = -1
In Problems 53–78, find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.Slope undefined; containing the point (3, 8)
In Problems 53–78, find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.Horizontal; containing the point (-3, 2)
In Problems 39–46, find the midpoint of the line segment joining the points P1 and P2. P₁ = (2,-3); P₂ = (4,2)
In Problems 39–44, the slope and a point on a line are given. Use this information to locate three additional points on the line. Slope -2; point (-2, -3)
In Problems 39–46, find the midpoint of the line segment joining the points P1 and P2. P₁ (7,-5); P₂ = (9,1) =
In Problems 39–44, the slope and a point on a line are given. Use this information to locate three additional points on the line. Slope -1; point (4,1)
In Problems 39–46, find the midpoint of the line segment joining the points P1 and P2. P₁ = (-4,-3); P₂=(2, 2)
In Problems 39–44, find the standard form of the equation of each circle.Center (2, -4) and circumference 16π
In Problems 39–44, find the standard form of the equation of each circle.Center (-5, 6) and area 4π
In Problems 39–46, find the midpoint of the line segment joining the points P1 and P2. P₁ = (a,b); P₁₂ = (0,0)
In Problems 45–48, match each graph with the correct equation. (a) (x - 3)2 + (y + 3)2 = 9 (b) (x + 1)2 + (y - 2)2 = 4 (c) (x - 1)2 + (y + 2)2 = 4 (d) (x + 3)2 + (y - 3)2 = 9 NORMAL FLOAT AUTO REAL RADIAN MP 6.4+ 0 +6.4
In Problems 57–72, list the intercepts and test for symmetry. y = x² - 2x - 8
Problems 51–60 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Rationalize the denominator of 3 √1-2
In Problems 39–46, find the midpoint of the line segment joining the points P1 and P2. P₁ = (a, a); P₂ = (0,0) P1
In Problems 45–52, find an equation of the line L. y YA (-2, 1) 2 -2 (0,0) -1- 2 X L
In Problems 45–48, match each graph with the correct equation.(a) (x - 3)2 + (y + 3)2 = 9 (b) (x + 1)2 + (y - 2)2 = 4 (c) (x - 1)2 + (y + 2)2 = 4 (d) (x + 3)2 + (y - 3)2 = 9 NORMAL FLOAT AUTO REAL RADIAN MP 9.6+ -6 9.6
In Problems 45–52, find an equation of the line L. L (-1,3) -2 3 -1 (1, 1) 2 X
In Problems 45–48, match each graph with the correct equation.(a) (x - 3)2 + (y + 3)2 = 9 (b) (x + 1)2 + (y - 2)2 = 4 (c) (x - 1)2 + (y + 2)2 = 4 (d) (x + 3)2 + (y - 3)2 = 9 NORMAL FLOAT AUTO REAL RADIAN MP 6 9.6+ -6 ++9.6
In Problems 41–52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, the origin or none of these. -3 У 6 -6 3 X
In Problems 41–52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, the origin or none of these. y 40 VA -40 -6 X 6
In Problems 45–52, find an equation of the line L. (-1, 1) -2 YA 2 (2, 2) -1- 2 L X
The maximum safe load for a horizontal rectangular beam varies directly with the width of the beam and the square of the thickness of the beam and inversely with its length. If an 8-foot beam will support up to 750 pounds when the beam is 4 inches wide and 2 inches thick, what is the maximum safe
In Problems 41–52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, the origin or none of these. -3 У 3 -3 3 х
In Problems 41–52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, the origin or none of these. -3 У со -3 3X
Problems 51–60 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Add 5 x + 3 - + x - 2 x² + 7x + 12 and simplify the result.
In Problems 41–52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, the origin or none of these. NORMAL FLOAT AUTO REAL RADIAN MP -2b -8 $2 0
Problems 51–60 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Factor 3x³ + 25x² 12x - 100 completely. -
Problems 51–60 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Simplify: 43/2 25
In the early seventeenth century, Johannes Kepler discovered that the square of the period T of the revolution of a planet around the Sun varies directly with the cube of its mean distance a from the Sun. Research this law and Kepler’s other two laws. Write a brief paper about these laws and
The High Roller observation wheel in Las Vegas has a maximum height of 550 feet and a diameter of 520 feet, with one full rotation taking approximately 30 minutes. Find an equation for the wheel if the center of the wheel is on the y-axis.
In Problems 41–52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, the origin or none of these. NORMAL FLOAT AUTO REAL RADIAN MP 0
Problems 51–60 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Evaluate c² - 6² ac - 2b (ca) for a = 3, b = 2, and c = 5.
If a circle of radius 2 rolls along the x-axis in quadrants I and II, what is an equation for the path of the center of the circle?
In Problems 53–78, find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.Slope = 2; containing the point (4, -3)
Located in Al Raha, Abu Dhabi, the headquarters of property developing company Aldar is a vertically circular building with a diameter of 121 meters. The tip of the building is 110 meters aboveground. Find an equation for the building’s outline if the center of the building is on the y-axis.
In Problems 56–59, solve each equation. 6х 2(x - 4) = 24
In Problems 57–72, list the intercepts and test for symmetry. y² = x + 16
In Problems 56–59, solve each equation. || I
The stress in the material of a pipe subject to internal pressure varies directly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the pipe. The stress is 100 pounds per square inch when the diameter is 5 inches, the thickness is 0.75 inch,
In Problems 45–48, match each graph with the correct equation.(a) (x - 3)2 + (y + 3)2 = 9 (b) (x + 1)2 + (y - 2)2 = 4 (c) (x - 1)2 + (y + 2)2 = 4 (d) (x + 3)2 + (y - 3)2 = 9 NORMAL FLOAT AUTO REAL RADIAN MP 6.4+ +6.4
The figure illustrates the net sales growth of Costco Wholesale Corporation from 2013 through 2017. Use the midpoint formula to estimate the net sales of Costco Wholesale Corporation in 2015. How does your result compare to the reported value of $113.67 billion? Net Sales ($
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve the equation: V2x² + 3x - 1 = x + 1
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Multiply (3x - 2) (x2 - 2x + 3). Express the answer as a polynomial in standard form.
In Problems 73–76, graph each equation. У X
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Aaron can load a delivery van in 22 minutes. Elizabeth can load the same van in 28 minutes. How
In Problems 73–76, graph each equation. y = √x
Problems 77–86 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Determine the domain of the variable x in the expression: 3x + 1 2x - 5
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find the quotient and the remainder: 8x³10x² + 2x³ + 11x² − 16x + 7 divided by 2x²-3
Problems 77–86 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the value of x² − 3xy + 2 5x - 2y if x = 4 and y = 7.
In Problems 79–98, find the slope and y-intercept of each line. Graph the line. y = 2x + 3
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Factor completely: 12x15x + 84x³. - 105x²
Problems 77–86 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Express (5x - 2) (3x + 7) form. as a polynomial in standard
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Simplify: 405x¹¹y 20
Problems 77–86 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Reduce the rational expression to lowest terms: 3x² + 7x + 2 3x² - 11x 11x - 4
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.y = -3x + 4
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.A square with an area of 64 square meters is inscribed inside a circle. What are the circumference and
Problems 73–82 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.How much pure antifreeze must be added to 2 liters of a 40% solution of antifreeze to obtain a 75%
For a nonzero constant a, find the intercepts of the graph of (x2 + y2 )2 = a2 (x2 - y2). Then test for symmetry with respect to the x-axis, the y-axis, and the origin.
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve: V2x + 5 - 1 = x
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.x + 2y = 4
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Factor 3x2 - 30x + 75 completely.
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Simplify: (2x2 y3)3 (3x3 y)2
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.x + y = 0
In Problems 79–98, find the slope and y-intercept of each line. Graph the line. 2y - 3x = 0
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Use synthetic division to find the quotient and remainder when 2x4 - 7x3 + 7x + 6 is divided by x
In Problems 79–98, find the slope and y-intercept of each line. Graph the line. 3x + 2y = 0
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve the inequality 1 < 3(4 - x) - 5 ≤ 19. Express the solution using interval notation.
In Problems 115–118, write an equation of each line. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. NORMAL FLOAT AUTO REAL RADIAN MP NA 2 13 0

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