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college algebra
Questions and Answers of
College Algebra
The velocity of an object, v, after t seconds is given by v = 3t2 - 18t + 24. Find the interval where the velocity is negative.
Complex numbers are used to describe current I, voltage E, and impedance Z (the opposition to current). These three quantities are related by the equation E = IZ, which is known as Ohm’s Law.Thus,
Write an equation stating that x2 - x is equal to the negative value found in Exercise 83, and solve it using the quadratic formula.To see how to solve an equation that involves the absolute value of
Solve each inequality. Give the solution set using interval notation.7x - 2(x - 3) ≤ 5(2 - x)
Suppose the velocity, v, of an object is given by v = 2t2 - 5t - 12, where t is time in seconds. (Here t can be positive or negative.) Find the intervals where the velocity is negative.
Complex numbers are used to describe current I, voltage E, and impedance Z (the opposition to current). These three quantities are related by the equation E = IZ, which is known as Ohm’s Law.Thus,
Write an equation stating that x2 - x is equal to the positive value found in Exercise 83, and solve it using the zero-factor property.To see how to solve an equation that involves the absolute value
Find each quotient. Write answers in standard form.5/9i
For x2 - x to have an absolute value equal to 6, what are the two possible values that it may be?To see how to solve an equation that involves the absolute value of a quadratic polynomial, such as
A baseball is hit so that its height, s, in feet after t seconds is s = -16t2 + 44t + 4. For what time period is the ball at least 32 ft above the ground?
Find each quotient. Write answers in standard form.2/3i
When humans breathe, carbon dioxide is emitted. In one study, the emission rates of carbon dioxide by college students were measured during both lectures and exams. The average individual rate RL (in
When humans breathe, carbon dioxide is emitted. In one study, the emission rates of carbon dioxide by college students were measured during both lectures and exams. The average individual rate RL (in
A projectile is fired straight up from ground level. After t seconds, its height above the ground is s feet, where s = -16t2 + 220t. For what time period is the projectile at least 624 ft above the
Find each quotient. Write answers in standard form.8/–i
When a model kite was flown in crosswinds in tests to determine its limits of power extraction, it attained speeds of 98 to 148 ft per sec in winds of 16 to 26 ft per sec. Using x as the variable in
The percent W of municipal solid waste recovered is shown in the bar graph. The linear model W = 0.33x + 33.1, where x = 1 represents 2008, x = 2 represents 2009, and so on, fits the data reasonably
Find each quotient. Write answers in standard form.–6/i
The industrial process that is used to convert methanol to gasoline is carried out at a temperature range of 680°F to 780°F. Using F as the variable, write an absolute value inequality that
Find each quotient. Write answers in standard form.–5/i
U.S. movie box office receipts, in billions of dollars, are shown in 5-year increments from 1993 to 2013. (Source: www.boxofficemojo.com)Year........................
Solve each rational inequality. Give the solution set in interval notation. (9x - 11)(2x + 7) (3x 8) >0
The temperatures on the surface of Mars in degrees Celsius approximately satisfy the inequality |C + 84| ≤ 56. What range of temperatures corresponds to this inequality?
Find each quotient. Write answers in standard form. -3 + 4i 2 - i
Dr. Tydings has found that, over the years, 95% of the babies he has delivered weighed x pounds, where|x - 8.2| ≤ 1.5.What range of weights corresponds to this inequality?
Solve each rational inequality. Give the solution set in interval notation. (2x - 3)(3x + 8) (x-6) 0=
Find each quotient. Write answers in standard form. 1 - 3i 1+ i
Solve each problem.Repeat Exercise 75, but let y = 10x + 2.Exercise 75Suppose that y = 5x + 1 and we want y to be within 0.002 unit of 6. For what values of x will this be true?
Find each quotient. Write answers in standard form. 4 - 3i 4 + 3i
Solve each rational inequality. Give the solution set in interval notation. (5r 3)3 (25 - 8x)
Solve each problem.Suppose that y = 5x + 1 and we want y to be within 0.002 unit of 6. For what values of x will this be true?
Solve each rational inequality. Give the solution set in interval notation. (5 — Зх)? ->0 (2х — 5)3
Find each quotient. Write answers in standard form. 2 - i 2 + i
Write each statement using an absolute value equation or inequality.q is no more than 8 units from 22.
Solve each rational inequality. Give the solution set in interval notation. 9x8 4x + 25
Find each quotient. Write answers in standard form. 14 + 5i 3 + 2i
Write each statement using an absolute value equation or inequality.r is no less than 1 unit from 29.
Solve each rational inequality. Give the solution set in interval notation. 2x - 3 x + 1 -0
Find each quotient. Write answers in standard form. 6 + 2i 1 + 2i
Write each statement using an absolute value equation or inequality.k is within 0.0002 unit of 10.
Solve each rational inequality. Give the solution set in interval notation. x + 2 3 + 2x 5
Write each statement using an absolute value equation or inequality.p is within 0.0001 unit of 9.
Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%.(a) How much must she pay the bank in 18 months?(b) How
See Exercise 81. For what time period is the projectile at least 744 ft above the ground?Exercise 81A projectile is fired straight up from ground level. After t seconds, its height above the ground
Find each quotient. Write answers in standard form.12/–i
Solve each rational inequality. Give the solution set in interval notation. x + 3 x - 5 VI
Find each product. Write answers in standard form.(2 + i)(2 – i)(4 + 3i)
Write each statement using an absolute value equation or inequality.z is no less than 5 units from 4.
Solve each rational inequality. Give the solution set in interval notation. 4 2 x + 1 x + 3
Temperature in Haiti The average annual temperature in Port-au-Prince, Haiti, is approximately 28.1°C. What is the corresponding Fahrenheit temperature? (Source: www.haiti.climatemps.com)
Find each product. Write answers in standard form.–5i(4 –3i)2
Write each statement using an absolute value equation or inequality.m is no more than 2 units from 7.
Solve each rational inequality. Give the solution set in interval notation. 4 2 x IV 3 1 x
Temperature in South Carolina A record high temperature of 113°F was recorded for the state of South Carolina on June 29, 2012. What is the corresponding Celsius temperature? (Source: U.S. National
Find each product. Write answers in standard form.3i(2 – i)2
Write an equation involving absolute value that says the distance between r and s is 6 units.
Solve each rational inequality. Give the solution set in interval notation. -5 3x + 2 IV 5 X
Temperature at Soviet Antarctica Station A record low temperature of -89.4°C was recorded at the Soviet Antarctica Station of Vostok on July 21, 1983. Find the corresponding Fahrenheit temperature.
Find each product. Write answers in standard form.i(2 + 7i)(2 – 7i)
Write an equation involving absolute value that says the distance between p and q is 2 units.
Solve each rational inequality. Give the solution set in interval notation. 3 2x - 1 V -4 x
Temperature of Venus Venus is the hottest planet, with a surface temperature of 867°F. What is this temperature in Celsius? (Source: World Almanac and Book of Facts.)
Find each product. Write answers in standard form.i(3 – 4i)(3 + 4i)
Solve each equation or inequality.|4x + 3| > 0
Solve each rational inequality. Give the solution set in interval notation. 5 12 x + 1 x + 1 V
In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary.350°F
Find each product. Write answers in standard form.(√2 – 4i)(√2 + 4i)
Solve each equation or inequality.|3x + 2| > 0
Solve each rational inequality. Give the solution set in interval notation. x + 2 x + 2
In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary.100°F
Find each product. Write answers in standard form.(√6 + i) (√6 - i)
Solve each equation or inequality.|3x + 2| ≤ 0
Solve each rational inequality. Give the solution set in interval notation. 1 x + 2 3
In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary.77°F
Find each product. Write answers in standard form.(6 – 4i)(6 + 4i)
Solve each equation or inequality.|2x + 1| = 0
Solve each rational inequality. Give the solution set in interval notation. 10 3 + 2x 5
In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary.50°F
Find each product. Write answers in standard form.(–2 – 3i)(–2 + 3i)
Solve each equation or inequality.|1.5x - 14| < 0
Solve each rational inequality. Give the solution set in interval notation. -6 3x - 5 52
In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary.20°C
In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary.200°C
Find each product. Write answers in standard form.(5 + i) (5 – i)
Solve each equation or inequality.|4.3x + 9.8| < 0
Solve each rational inequality. Give the solution set in interval notation. -4 1-x
Find each product. Write answers in standard form.(3 + i)(3 – i)
Find each product. Write answers in standard form.(2 + i)2
Solve each rational inequality. Give the solution set in interval notation. 3 x-2
Solve each equation or inequality.|7 + 2x| = 0
Find each product. Write answers in standard form.(3 – 2i)2
Solve each equation or inequality.|5x + 2| - 2 < 3
Find each sum or difference. Write answers in standard form.(4 - i) + (8 + 5i)
Solve each equation for xax + b2 = bx - a2
Solve each equation or inequality.|12 - 9x| ≥ -12
Find each product. Write answers in standard form.(2 + i)(3 - 2i)
Solve each rational inequality. Give the solution set in interval notation. х — 3 х+ 5
Solve each equation for xa2x + 3x = 2a2
Solve each equation or inequality.|10 - 4x| ≥ -4
Solve each equation or inequality.|-5x + 7| - 4 < -6
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