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Questions and Answers of College Algebra

Solve each inequality algebraically. (3x)³(2x + 1) x³ - 1 < 0
Solve each inequality algebraically. (2 - x)³ (3x - 2) x³ + 1
Solve each inequality algebraically. (x + 1)(x − 3)(x - 5) > 0 -
Solve each inequality algebraically. (2x - 1)(x + 2)(x + 5)
Solve each inequality algebraically.7x - 4 ≥ -2x2
Solve each inequality algebraically. x + 1 x - 3 ≤2
Solve each inequality algebraically. x - 1 x + 2 IV -2
Solve each inequality algebraically. 6x - 5 < 6 x 19 X
Solve each inequality algebraically. x + 12 X
Solve each inequality algebraically.x3 - x ≥ 0
Plot each point and form the triangle ABC.Verify that the triangle is a right triangle. Find its area. A = (-6, 3); B = (3,-5); C = (-1,5)
Find the real solutions, if any, of each equation. 2x 3 x 2 || 5 12
Find the real solutions, if any, of each equation. x(x - 1) = 6
Find the real solutions, if any, of each equation.x4 - 3x2 - 4 = 0
Find the real solutions, if any, of each equation. V2x 5 + 2 = 4
The solution set of the equation |x| = 5 is { ___________ }.
Find the real solutions, if any, of each equation. |2x - 3| + 7 = 10
Find the real solutions, if any, of each equation.3x3 + 2x2 - 12x - 8 = 0
Find the real solutions, if any, of each equation.3x2 - x + 1 = 0
Write -2/3 - i in the standard form a + bi.
The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $5 per pound with some Orange Pekoe tea that sells for $3
A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound, respectively.What amounts of each coffee should
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2x - 3 5 +2= x 2
The Gare Montparnasse train station in Paris has a high-speed version of a moving walkway. If he walks while riding this moving walkway, Jean Claude can travel 200 meters in 30 seconds less time than
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 5-x 3 VI 6x - 4 ≤ 6x
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -9 ≤ 2x + 3 -4 ≤7
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -4 < 2x - 2 3 < 6
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2 3 - 3x 12
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -3 ≤ 5 - 3x 2 VI 6
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. |3x + 4 < 1/1/2
A 39-ounce can of Hills Bros.® coffee requires 188.5 square inches of aluminum. If its height is 7 inches, what is its radius? The surface area S of a right cylinder is S = 2πr2 + 2πrh, where r is
In the 1984 Olympics, C. Lewis of the United States won the gold medal in the 100- meter race with a time of 9.99 seconds. In the 1896 Olympics,Thomas Burke, also of the United States, won the gold
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. |1 - 2x < 1/1 3
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. |2x - 5 ≥ 9
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. |3x + 1 ≥ 10
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2 + 2-3x ≤ 4
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1 2 + 2x - 3 1 < 1
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1-2-3x < -4
Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1 |2x - 1 3 < -2
Use the complex number system and write each expression in the standard form a + bi. (8 3i) + (6 + 2i)
Use the complex number system and write each expression in the standard form a + bi. 2(1 + i) 3(2-3i)
Use the complex number system and write each expression in the standard form a + bi. 4 2-i
A Gallup poll conducted May 20–22, 2005, found that Americans read an average of 13.4 books per year. Gallup is 99% confident that the result from this poll is off by fewer than 1.35 books from the
Use the complex number system and write each expression in the standard form a + bi.i29
If a > 0, show that the solution set of the inequalityconsists of all numbers x for which x2 < a
Use the complex number system and write each expression in the standard form a + bi.(3 - 2i)3
Show that a ≤ |a|.
If a > 0, show that the solution set of the inequalityconsists of all numbers x for which D < zx で
Translate the following statement into a mathematical expression:The perimeter p of a rectangle is the sum of two times the length l and two times the width ω.
A bank lends out $9000 at 7% simple interest.At the end of 1 year, how much interest is owed on the loan?
The intensity I (in candlepower) of a certain light source obeys the equation I = 900/x2, where x is the distance (in meters) from the light. Over what range of distances can an object be placed from
Two bees leave two locations 150 meters apart and fly, without stopping, back and forth between these two locations at average speeds of 3 meters per second and 5 meters per second, respectively. How
A Metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, an Amtrak train leaves on the same track, traveling at an average speed that is 50 miles per hour faster than the
An object is thrown down from the top of a building 1280 feet tall with an initial velocity of 32 feet per second. The distance s (in feet) of the object from the ground after t seconds is
The hypotenuse of a right triangle measures 13 centimeters. Find the lengths of the legs if their sum is 17 centimeters.
One formula stating the relationship between the length l and width ω of a rectangle of “pleasing proportion” is l2 = w(l + w). How should a 4 foot by 8 foot sheet of plasterboard be cut so that
An inheritance of $900,000 is to be divided among Scott, Alice, and Tricia in the following manner: Alice is to receive 3/4 of what Scott gets, while Tricia gets 1/2 of what Scott gets. How much does
A group of 20 senior citizens can charter a bus for a one-day excursion trip for $15 per person. The charter company agrees to reduce the price of each ticket by 10¢ for each additional passenger in
Find the real solution(s) of each equation. V2x + 1 = 3
In a 100-meter race, Todd crosses the finish line 5 meters ahead of Scott. To even things up, Todd suggests to Scott that they race again, this time with Todd lining up 5 meters behind the start.(a)
Find the real solution(s) of each equation. |x - 2 = 1
Write the standard form of the equation and the general form of the equation of each circle of radius r and center (h, k).Graph each circle. r = 2; (h, k) = (0, 2)
Plot each point in the xy-plane.Tell in which quadrant or on what coordinate axis each point lies. (a) A = (-3,2) (b) B = (6,0) (c) C = (-2,-2) (d) D = (6,5) (e) E = (0, -3) (f) F = (6,-3)
Solve each inequality. Graph the solution set. |x - 2 ≤ 1
Write the standard form of the equation and the general form of the equation of each circle of radius r and center (h, k).Graph each circle. r = 3; (h, k) = (1,0)
Plot each point in the xy-plane.Tell in which quadrant or on what coordinate axis each point lies. (a) A = (1,4) (b) B= (-3,-4) (c) C = (-3, 4) (d) D = (4,1) (e) E = (0,1) (f) F = (-3,0)
Solve each inequality. Graph the solution set. £ < r + Z 1
Write the standard form of the equation and the general form of the equation of each circle of radius r and center (h, k).Graph each circle. r = 5; (h, k) = (4, -3)
Write the standard form of the equation and the general form of the equation of each circle of radius r and center (h, k).Graph each circle. r = 4; (h, k) = (2, -3)
Find the distance d(P1, P2) between the points P1 and P2. y VA 2 -P2 = (2,1) P1 = (0, 0) - -2 -1 2 x
Write the standard form of the equation and the general form of the equation of each circle of radius r and center (h, k).Graph each circle. r= 7; (h, k) = (-5,-2)
Find the distance d(P1, P2) between the points P1 and P2. P2 = (-2, 2) -2 VA 2 -1 P1 = (1,1) 2 x
Find the distance d(P1, P2) between the points P1 and P2. P₁ = (3, 4); P₂ = (5, 4)
Plot each pair of points and determine the slope of the line containing them. Graph the line.(-3, -1); (2, -1)
Find the distance d(P1, P2) between the points P1 and P2. P₁ = (-1,0); P₂ = (2,4)
Find the distance d(P1, P2) between the points P1 and P2. P₁ = (-3, 2); P₂ = (6,0)
Find the distance d(P1, P2) between the points P1 and P2. P₁ = (2,-3); P₂ = (4,2)
Find the distance d(P1, P2) between the points P1 and P2. P₁ = (4, -3); P₂ = (6,4)
Find the distance d(P1, P2) between the points P1 and P2. P₁ = (-4, −3); P₂ = (6,2) P2
Find the distance d(P1, P2) between the points P1 and P2. P₁ = (a, b); P₂ = (0,0) P2
Find the distance d(P1, P2) between the points P1 and P2. P₁ = (a, a); P₂ = (0,0)
Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area. A = (-5,3); B = (6,0); C = (5,5)
Find the midpoint of the line segment joining the points P1 and P2. P₁ = (4, -3); P₂ = (6, 1)
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, or the origin. -3 У 6 -6 3 x
Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range(b) The intercepts, if any(c) Any symmetry with respect to
The intercepts of the equation x2 + 4y2 = 16 are ________________ .
Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range(b) The intercepts, if any(c) Any symmetry with respect to
Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range(b) The intercepts, if any(c) Any symmetry with respect to
Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range(b) The intercepts, if any(c) Any symmetry with respect to
Determine whether each relation represents a function. For each function, state the domain and range. Person Elvis Colleen Kaleigh Marissa Birthday Jan. 8 Mar. 15 Sept. 17
Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range(b) The intercepts, if any(c) Any symmetry with respect to
Determine whether each relation represents a function. For each function, state the domain and range. Father Bob John Chuck Daughter Beth Diane Linda Marcia
Determine whether each relation represents a function. For each function, state the domain and range. Hours Worked 20 Hours 30 Hours 40 Hours Salary $200 $300 $350 $425
(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain? f(x) = 2x 1 if x #
(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain? f(x) = 3x 4 if x ≠
(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain? f(x) -2x + 3 3x -
(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain? f(x) √x + 3 -2x -
(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain? f(x) = x + 3 5 -x +
(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain? f(x) 2x +
Determine algebraically whether each function is even, odd, or neither.f(x) = 4x3

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