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mathematics
college algebra
College Algebra 12th edition Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - Solutions
Solve each problem.Perimeter of a Rectangle The perimeter of a rectangle is 294 cm. The width is 57 cm. Find the length.
Solve each equation. 1/3 (x + 3)23 + (x + 3)3 – 6 = 0
Solve each equation.|5 - 3x| = 3
Identify each number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions will apply.)–4
Which one is not a linear equation?A. 5 x + 7(x - 1) = -3x B. 9x2 - 4 x + 3 = 0C. 7x + 8 x = 13x D. 0.04 x - 0.08 x = 0.40
Solve each equation. 'Зх — 8 %3D V9х + 4
Dimensions of a Rectangle Which one or more of the following cannot be a correct equation to solve a geometry problem, if x represents the length of a rectangle? A. 2 x + 2(x - 1) = 14 B. -2 x + 7(5 - x) = 52C. 5(x + 2) + 5 x = 10 D. 2 x + 2(x - 3) = 22
Solve each equation.|4x + 2| = 5
Decide whether each statement is true or false. If false, correct the right side of the equation.(5 + 3i)2 = 16
Solve the inequality. Give the solution set using interval notation.-5x - 4 ≥ 3(2x - 5)
Solve the inequality. Give the solution set using interval notation.11x ≥ 2(x - 4)
Solve the inequality. Give the solution set using interval notation.-9x + 3 < 4x + 10
Solve the equation. (x + 3)-2/3 – 2(x + 3)-1/3 = 3
Solve the equation.(2x + 3)2/3 + (2x + 3)1/3 - 6 = 0
Solve the equation. 1 x² + 6x + 8 x + 4
Solve the equation. х +++ 3 = x + 2 x2 + 2x х
Solve the equation.√x2 + 3x - 2 = 0
Solve the equation.3√6x + 2 - 3√4x = 0
Solve the equation.5√2x = 5√3x + 2
Solve the equation.√x + 3 - √3x + 10 = 1
Solve the equation.√5x - 15 - √x + 1 = 2
Solve the equation.√4x - 2 = √3x + 1
Solve the equation.√x - √x + 3 = -1
Solve the equation.√x + 2 - x = 2
Solve each equation.√2x + 3 = x + 2
Solve the equation.(x - 2)2/3 = x1/3
Solve the equation.(x2 - 6x)1/4 = 2
Solve the equation.(x - 4)2/5 = 9
Solve the equation.13/x2 + 10 = 2/x
Solve the equation.10/4x - 4 = 1/1 - x
Solve the equation.2 - 5/x = 3/x2
Solve the equation.2/x - 4/3x = 8 + 3/x
Solve the equation.x2 - 2x4 = 0
Solve each equation.4x4 + 3x2 - 1 = 0
The lengths of the sides of a right triangle are such that the shortest side is 7 in. shorter than the middle side, while the longest side (the hypotenuse) is 1 in. longer than the middle side. Find the lengths of the sides. x+ 1
The amount spent in billions of dollars by the U.S. government on medical care during the period1990–2013 can be approximated by the equationy = 1.016x2 + 12.49x + 197.8where x = 0 corresponds to 1990, x = 1 corresponds to 1991, and so on. According to this model, about how much was spent by the
To determine the appropriate landing speed of a small airplane, the formulaD = 0.1s2 - 3s + 22is used, where s is the initial landing speed in feet per second and D is the length of the runway in feet. If the landing speed is too fast, the pilot may run out of runway. If the speed is too slow, the
Paula plans to replace the vinyl floor covering in her 10-ft by 12-ft kitchen. She wants to have a border of even width of a special material. She can afford only 21 ft2 of this material. How wide a border can she have? 12 ft 10 ft 150
Zach went into a frame-it-yourself shop. He wanted a frame 3 in. longer than it was wide. The frame he chose extended 1.5 in. beyond the picture on each side. Find the outside dimensions of the frame if the area of the unframed picture is 70 in.2.
A projectile is fired straight up from ground level. After t seconds its height s, in feet above the ground, is given bys = -16t2 + 220t.At what times is the projectile exactly 750 ft above the ground?
Evaluate the discriminant for the equation. Then use it to determine the number and type of solutions.25x2 + 110x + 121 = 0
Evaluate the discriminant for the equation. Then use it to determine the number and type of solutions.x(9x + 6) = -1
Evaluate the discriminant for the equation. Then use it to determine the number and type of solutions.16x2 + 3 = -26x
Evaluate the discriminant for the equation. Then use it to determine the number and type of solutions.-8x2 + 10x = 7
Evaluate the discriminant for the equation. Then use it to determine the number and type of solutions.8x2 = -2x - 6
Evaluate the discriminant for each equation. Then use it to determine the number and type of solutions.-6x2 + 2x = -3
See Exercise 47.(a) Which equations have only one distinct real solution?(b) Which equation has two nonreal complex solutions?Exercise 47Which equation has two real, distinct solutions? Do not actually solve.A. (3x - 4)2 = -9 B. (4 - 7x)2 = 0C. (5x - 9) (5x - 9) = 0 D. (7x + 4)2 = 11
Which equation has two real, distinct solutions? Do not actually solve.A. (3x - 4)2 = -9 B. (4 - 7x)2 = 0C. (5x - 9) (5x - 9) = 0 D. (7x + 4)2 = 11
Solve the equation.(x + 4) (x + 2) = 2x
Solve the equation.x2 - √5 x - 1 = 0
Solve the equation.√2 x2 - 4x + √2 = 0
Solve the equation.(2x + 1) (x - 4) = x
Solve each equation.-x(3x + 2) = 5
Solve the equation.-2x2 + 11x = -21
Solve the equation.12x2 = 8x - 1
Solve the equation.2x2 + x - 15 = 0
Solve the equation.(2 - 3x)2 = 8
Solve the equation.(x + 7)2 = 5
Simplify the power of i.1/i17
Simplify the power of i.i -27
Simplify the power of i.i110
Simplify the power of i.i1001
Simplify each power of i.i60
Simplify each power of i.i11
Perform the operation. Write answers in standard form.-7 + i/-1 - i
Perform the operation. Write answers in standard form.-12 - i/-2 - 5i
Perform the operation. Write answers in standard form.4i(2 + 5i) (2 - i)
Perform the operation. Write answers in standard form.-5i(3 - i)2
Perform the operation. Write answers in standard form.(4 - 3i)2
Perform the operation. Write answers in standard form.(5 - 11i) (5 + 11i)
Perform the operation. Write answers in standard form.(-8 + 2i) (-1 + i)
Perform the operation. Write answers in standard form.(5 - i)(3 + 4i)
Perform the operation. Write answers in standard form.-6 + 4i - (8i - 2)
Perform the operation. Write answers in standard form.15i - (3 + 2i) - 11
Perform the operation. Write answers in standard form.(-11 + 2i) - (8 - 7i)
Perform each operation. Write answers in standard form.(6 - i) + (7 - 2i)
The U.S. population, in millions, for selected years is given in the table. The bar graph shows the percentages of the U.S. population that lived in New York State during those years.Year............................................................U.S. Population(in
U.S. minimum hourly wage, in dollars, for selected years from 1956–2009 is shown in the table. The linear modely = 0.1132x + 0.4609approximates the minimum wage during this time period, where x is the number of years after 1956 and y is the minimum wage in dollars.(a) Use the model to approximate
Projected e-commerce sales (in billions of dollars) for the years 2010–2018 can be modeled by the equation y = 40.892x + 150.53,where x = 0 corresponds to 2010, x = 1 corresponds to 2011, and so on. Based on this model, what would expected retail e-commerce sales be in 2018?
As directed by the “Safe Drinking Water Act” of December 1974, the EPA proposed a maximum lead level in public drinking water of 0.05 mg per liter. This standard assumed an individual consumption of two liters of water per day.(a) If EPA guidelines are followed, write an equation that models
Two chemical plants are releasing toxic waste into a holding tank. Plant I releases waste twice as fast as Plant II. Together they fill the tank in 3 hr. How long would it take the slower plant to fill the tank working alone?
Mary Lynn left by plane to visit her mother in Louisiana, 420 km away. Fifteen minutes later, her mother left to meet her at the airport. She drove the 20 km to the airport at 40 km per hr, arriving just as the plane taxied in. What was the speed of the plane?
A realtor borrowed $90,000 to develop some property. He was able to borrow part of the money at 5.5% interest and the rest at 6%. The annual interest on the two loans amounts to $5125. How much was borrowed at each rate?
Alan wishes to strengthen a mixture that is 10% alcohol to one that is 30% alcohol. How much pure alcohol should he add to 12 L of the 10% mixture?
Becky can ride her bike to the university library in 20 min. The trip home, which is all uphill, takes her 30 min. If her rate is 8 mph faster on her trip there than her trip home, how far does she live from the library?
Solve the equation.A = 1/2 r2 θ, for r
Find the values of a, b, and c for which the quadratic equationax2 + bx + c = 0has the given numbers as solutions.i, -i
Find the values of a, b, and c for which the quadratic equationax2 + bx + c = 0has the given numbers as solutions.1 + √2, 1 - √2
Find the values of a, b, and c for which the quadratic equationax2 + bx + c = 0has the given numbers as solutions.-3, 2
Find the values of a, b, and c for which the quadratic equationax2 + bx + c = 0has the given numbers as solutions.4, 5
Is it possible for the solution set of a quadratic equation with real coefficients to consist of one real number and one nonreal complex number?
Is it possible for the solution set of a quadratic equation with integer coefficients to consist of a single irrational number?
Show that the discriminant for the equationis 49. If this equation is completely solved, it can be shown that the solution set isWe have a discriminant that is positive and a perfect square, yet the two solutions are irrational. Does this contradict the discussion in this section? V2x? + 5x – 3V2
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.)8x2 - 72 = 0
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.)3x2 = 4x - 5
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.)9x2 + 11x + 4 = 0
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.)2x2 + 4x + 1 = 0
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.)4x2 = -6x + 3
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.)8x2 = -14x - 3
Evaluate the discriminant for the equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.)3x2 + 5x + 2 = 0
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