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mathematics
college algebra
College Algebra 12th edition Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - Solutions
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.59/57
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.48/46
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.-b-4
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.-a-3
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.5t-3
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.4x-2
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.(5t)-3
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.(4x)-2
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.(4/3)-3
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.(1/3)-2
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.-7-2
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.(-5)-4
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.(-5)-2
Write the expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers.(-4)-3
Match each expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all.I.............................................II(a) 5-3.................................A. 125(b) -5-3...............................B. -125(c)
Match each expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all.I.............................................II(a) 4-2.................................A. 16(b) -4-2...............................B. 1/16(c)
Decide whether the statement is true or false. If false, correct the right side of the equation.(x + y)-1 = x-1 + y-1
Decide whether the statement is true or false. If false, correct the right side of the equation.m2/3 · m1/3 = m2/9
Decide whether the statement is true or false. If false, correct the right side of the equation.(3x2)-1 = 3x-2
Decide whether the statement is true or false. If false, correct the right side of the equation. -2 at
Decide whether the statement is true or false. If false, correct the right side of the equation.(2/3)2 = (3/2)2
In situations involving environmental pollution, a cost-benefit model expresses cost in terms of the percentage of pollutant removed from the environment. Suppose a cost-benefit model is expressed aswhere y is the cost in thousands of dollars of removing x percent of a certain pollutant. Find the
In situations involving environmental pollution, a cost-benefit model expresses cost in terms of the percentage of pollutant removed from the environment. Suppose a cost-benefit model is expressed aswhere y is the cost in thousands of dollars of removing x percent of a certain pollutant. Find the
The Nile River in Africa is about 4000 mi long. The Nile begins as an outlet of Lake Victoria at an altitude of 7000 ft above sea level and empties into the Mediterranean Sea at sea level (0 ft). The distance from its origin in thousands of miles is related to its height above sea level in
The Nile River in Africa is about 4000 mi long. The Nile begins as an outlet of Lake Victoria at an altitude of 7000 ft above sea level and empties into the Mediterranean Sea at sea level (0 ft). The distance from its origin in thousands of miles is related to its height above sea level in
Simplify the complex fraction. 2 (x + h)? + 16 x2 + 16
Simplify the complex fraction. (x + h)2 + 9 x² + 9
Simplify the complex fraction. -2 -2
Simplify the complex fraction. х+h х
Simplify the complex fraction. x + 4 3 х— 2 х х
Simplify the complex fraction. y + 3 4 y - 1 y y -1 y
Simplify the complex fraction. x2 – 25 х — 5
Simplify the complex fraction. 3 p? – 16 - 4
Simplify the complex fraction. y - y2 – 9 y + 3
Simplify the complex fraction. т т? — 4 т+2
Simplify the complex fraction. x3 – y3 x? – y?
Simplify the complex fraction. a³ + b3 a? + 2ab + b²
Simplify the complex fraction. 2 2 + х 2 1- x
Simplify the complex fraction. 1. 1- b
Simplify the complex fraction. x + 1
Simplify the complex fraction. y + 3 y y
Simplify the complex fraction. 2 2 y y
Simplify the complex fraction. 1+ х
Add or subtract, as indicated. 2p 2p? — 9р — 5 бр2 — р — 2 - Op – - 2
Find the domain of each rational expression. х3 — 1 х — 1
Find the domain of each rational expression. х? — 25 х — 5
Find the domain of each rational expression. x2 – 1 x + 1
Find the domain of each rational expression. 3 x2 — 5х — 6
Find the domain of each rational expression. 12 x2 + 5x + 6
Find the domain of each rational expression. 9х + 12 (2х + 3)(х — 5)
Find the domain of each rational expression. Зх + 7 (4х + 2)(х — 1)
Find the domain of the rational expression. 2х — 4 х
Find the domain of the rational expression. х+ 3 х — 6
Perform the indicated operation, and write each answer in lowest terms.
Perform the indicated operation, and write each answer in lowest terms. 2x 5 4
Perform the indicated operation, and write each answer in lowest terms. х —у х-у х 4,
Perform the indicated operation, and write each answer in lowest terms. 3
Perform the indicated operation, and write each answer in lowest terms. 8. 4
Perform the indicated operation, and write each answer in lowest terms. 2х 10 х
Fill in the blank(s) to correctly complete each sentence.A rational expression is in lowest terms when the greatest common factor of its numerator and its denominator is _______ .
Fill in the blank(s) to correctly complete each sentence.In the rational expression x + 1/x - 5, the domain cannot include the number _____.
Fill in the blank(s) to correctly complete each sentence.The domain of a rational expression consists of all real numbers except those that make the _______ equal to 0.
Fill in the blank(s) to correctly complete each sentence.The quotient of two polynomials in which the denominator is not equal to zero is a __________ .
The polynomial x6 - 1 can be considered either a difference of squares or a difference of cubes. Work Exercises in order, to connect the results obtained when two different methods of factoring are used.Factor x8 + x4 + 1 using the technique outlined in Exercise 128.Exercise 128. x* + x? + 1 = x* +
The polynomial x6 - 1 can be considered either a difference of squares or a difference of cubes. Work Exercises in order, to connect the results obtained when two different methods of factoring are used.How does the answer in Exercise 127 compare with the final line in Exercise 128?
The polynomial x6 - 1 can be considered either a difference of squares or a difference of cubes. Work Exercises in order, to connect the results obtained when two different methods of factoring are used.The polynomial x4 + x2 + 1 cannot be factored using the methods described in this section.
The polynomial x6 - 1 can be considered either a difference of squares or a difference of cubes. Work Exercises in order, to connect the results obtained when two different methods of factoring are used.Compare the answers in Exercises 125 and 126. Based on these results, what is the factorization
The polynomial x6 - 1 can be considered either a difference of squares or a difference of cubes. Work Exercises in order, to connect the results obtained when two different methods of factoring are used.Factor x6 - 1 by first factoring as a difference of cubes, and then factor further by using the
The polynomial x6 - 1 can be considered either a difference of squares or a difference of cubes. Work Exercises in order, to connect the results obtained when two different methods of factoring are used.Factor x6 - 1 by first factoring as a difference of squares, and then factor further by using
Find all values of b or c that will make the polynomial a perfect square trinomial.49x2 + 70x + c
Find all values of b or c that will make the polynomial a perfect square trinomial.100r2 - 60r + c
Find all values of b or c that will make the polynomial a perfect square trinomial.9p2 + bp + 25
Find all values of b or c that will make the polynomial a perfect square trinomial.4z2 + bz + 81
Factor each polynomial over the set of rational number coefficients. 121 -y+ 25 49x2
Factor each polynomial over the set of rational number coefficients. 25 9y2
Factor each polynomial over the set of rational number coefficients. 1 81y2. 49
Factor the polynomial over the set of rational number coefficients. 49x2 25
Explain how the figures give geometric interpretation to the formula x2 + 2xy + y2 = (x + y)2. х х х
Are there any conditions under which a sum of squares can be factored? If so, give an example.
Factor by any method.4z4 - 7z2 - 15
Factor by any method.(x + y)2 - (x - y)2
Factor by any method.(3a + 5)2 - 18(3a + 5) + 81
Factor by any method.144z2 + 121
Factor by any method.100r2 - 169s2
Factor by any method.216p3 + 125q3
Factor by any method.64 + (3x + 2)3
Factor by any method.q2 + 6q + 9 - p2
Factor by any method.125m6 - 216
Factor by any method.b2 + 8b + 16 - a2
Factor by any method.1000x3 + 343y3
Factor by any method.6p4 + 7p2 - 3
Factor by any method.4z2 + 28z + 49
Factor by any method.36a2 + 60a + 25
Factor by any method.p4(m - 2n) + q(m - 2n)
Factor by any method.8r2 - 3rs + 10s2
Factor by any method.x2 + xy - 5x - 5y
Factor by any method.(2y - 1)2 - 4(2y - 1) + 4
Factor by any method.4b2 + 4bc + c2 - 16
Factor the polynomial.10m4 + 43m2 - 9
Factor the polynomial.12t4 - t2 - 35
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