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mathematics
college algebra graphs and models
Questions and Answers of
College Algebra Graphs And Models
In Exercises 57–64, factor using the formula for the sum or difference of two cubes.x3 - 64
Simplify each exponential expression in Exercises 23–64. 2\3 -15a4b2 5a¹06-3 ,10
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial.(5x2y - 3xy) + (2x2y - xy)
Simplify the radical expressions in Exercises 58–62. 416 + 5/2
Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. √(-3)4
In Exercises 59–72, simplify each complex rational expression. 1 + 3 1 X 1 X
In Exercises 61–66, evaluate each algebraic expression for x = 2 and y = -5. |x + yl
Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. √(-2) 4
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (4x²y + 8xy + 11) + (−2x²y + 5xy + 2)
In Exercises 57–64, factor using the formula for the sum or difference of two cubes.x3 - 27
Simplify each exponential expression in Exercises 23–64. 14 -30a¹4f8\3 10a¹76-2
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial.(-2x2y + xy) + (4x2y + 7xy)
Simplify the radical expressions in Exercises 58–62. √32x5 16x (Assume that x > 0.)
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (7x4y² - 5x²y² + 3xy) + (-18x¹y² − 6x²y² - xy) -
In Exercises 59–72, simplify each complex rational expression. 8+ 4 - 1 X 1 X
In Exercises 57–64, factor using the formula for the sum or difference of two cubes.8x3 - 1
In Exercises 61–66, evaluate each algebraic expression for x = 2 and y = -5. |x - yl
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (x³ + 7xy - 5y²) – (6x³ - - xy + 4y²)
Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. √(-3)5
Simplify each exponential expression in Exercises 23–64. 3a-52 12a3b-4 0
In Exercises 59–72, simplify each complex rational expression. 1 y x + y X
In Exercises 61–66, evaluate each algebraic expression for x = 2 and y = -5. [x] + [y]
In Exercises 63–68, evaluate each expression. 162
In Exercises 57–64, factor using the formula for the sum or difference of two cubes.27x3 - 1
Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. √(-2)5
Simplify each exponential expression in Exercises 23–64. 4a-563 12a³b-5 0
In Exercises 63–68, evaluate each expression. 1 25 2
In Exercises 61–66, evaluate each algebraic expression for x = 2 and y = -5. |x| - [y]
Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. 뚜A 32
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (r4 — 7xy — 5y3) — (6x4 - 3xy + 4y3) -
In Exercises 57–64, factor using the formula for the sum or difference of two cubes.64x3 + 27
In Exercises 59–72, simplify each complex rational expression. 1 ху 1 X
In Exercises 63–68, evaluate each expression. 1253
In Exercises 65–76, write each number in decimal notation without the use of exponents. 3.8 x 10²
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (3x4y² + 5x³y − 3y) - (2x4y² - 3x³y - 4y + 6x)
In Exercises 57–64, factor using the formula for the sum or difference of two cubes.8x3 + 125
In Exercises 59–72, simplify each complex rational expression. x X x + 3 x + 2
In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (5x4y² + 6x³y – 7y) - (3x4y² - 5x³y - 6y + 8x) -
In Exercises 61–66, evaluate each algebraic expression for x = 2 and y = -5. y ly|
Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. 64
In Exercises 59–72, simplify each complex rational expression. X x - 3 3 x - 2
Simplify the radical expressions in Exercises 67–74 if possible. √32
In Exercises 63–68, evaluate each expression. 27 -Im
In Exercises 65–92, factor completely, or state that the polynomial is prime.3x3 - 3x
In Exercises 61–66, evaluate each algebraic expression for x = 2 and y = -5. |x| ly| У
In Exercises 65–76, write each number in decimal notation without the use of exponents. 9.2 x 10²
In Exercises 59–72, simplify each complex rational expression. 3 x - 2 4 x + 2 7 x² - 4
In Exercises 63–68, evaluate each expression. IN 643
Simplify the radical expressions in Exercises 67–74 if possible. 150
In Exercises 65–92, factor completely, or state that the polynomial is prime.5x3 - 45x
In Exercises 65–76, write each number in decimal notation without the use of exponents. 6 x 10-4
In Exercises 59–72, simplify each complex rational expression. x-2 3 x² - 4 + 1 +1
Simplify the radical expressions in Exercises 67–74 if possible. √x4
In Exercises 63–68, evaluate each expression. 27
In Exercises 65–76, write each number in decimal notation without the use of exponents. 7 x 10-5
In Exercises 65–92, factor completely, or state that the polynomial is prime.4x2 - 4x - 24
In Exercises 59–72, simplify each complex rational expression. 1 x + 1 1 x² - 2x - 3 + 1 x-3
In Exercises 67–82, find each product.(x + 5y)(7x + 3y)
Simplify the radical expressions in Exercises 67–74 if possible. SA
In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.2 and 17
In Exercises 65–76, write each number in decimal notation without the use of exponents. -7.16 x 106
In Exercises 69–71, simplify using properties of exponents. (*) (*)
In Exercises 65–92, factor completely, or state that the polynomial is prime.6x2 - 18x - 60
In Exercises 67–82, find each product.(x + 9y)(6x + 7y)
In Exercises 69–71, simplify using properties of exponents. 3 15x4 1 Sp
In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.4 and 15
In Exercises 65–76, write each number in decimal notation without the use of exponents. -8.17 x 106
In Exercises 65–92, factor completely, or state that the polynomial is prime.2x4 - 162
In Exercises 69–71, simplify using properties of exponents. (125x6)3
In Exercises 67–82, find each product.(x - 3y)(2x + 7y)
Simplify the radical expressions in Exercises 67–74 if possible. V12.4
In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.-2 and 5
In Exercises 59–72, simplify each complex rational expression. 1 (x + h)² h 1 X
In Exercises 65–92, factor completely, or state that the polynomial is prime.7x4 - 7
Simplify by reducing the index of the radical: y³.
In Exercises 65–76, write each number in decimal notation without the use of exponents. 7.9 x 10-¹
Simplify the radical expressions in Exercises 67–74 if possible. √64x6 √2x
In Exercises 59–72, simplify each complex rational expression. x + h x+h+1 x + 1 h X
In Exercises 65–92, factor completely, or state that the polynomial is prime.x3 + 2x2 - 9x - 18
In Exercises 65–76, write each number in decimal notation without the use of exponents. 6.8 x 10-1
In Exercises 67–82, find each product.(3xy - 1)(5xy + 2)
In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.-19 and -4
In Exercises 65–92, factor completely, or state that the polynomial is prime.x3 + 3x2 - 25x - 75
In Exercises 73–80, perform the indicated operations. Simplify the result, if possible. 2x + 3 x² + 4x + 4x - 5 x + 1 2x² + x - 3, 2 x + 2
In Exercises 65–76, write each number in decimal notation without the use of exponents. -4.15 x 10-3
In Exercises 67–82, find each product.(7x2y + 1)(2x2y - 3)
In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.-26 and -3
In Exercises 65–92, factor completely, or state that the polynomial is prime.2x2 - 2x - 112
In Exercises 73–74, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree.(-6x3 + 7x2 - 9x + 3) + (14x3 + 3x2 - 11x - 7)
In Exercises 67–82, find each product.(7x + 5y)2
Simplify the radical expressions in Exercises 67–74 if possible. 162x5 2x
In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.-3.6 and -1.4
In Exercises 65–76, write each number in decimal notation without the use of exponents. -3.14 x 10-3
In Exercises 75–82, add or subtract terms whenever possible. 6√3+2√3
In Exercises 65–92, factor completely, or state that the polynomial is prime.6x2 - 6x - 12
In Exercises 73–80, perform the indicated operations. Simplify the result, if possible. 2 6 x + 1 1 + 3 x-2
In Exercises 65–76, write each number in decimal notation without the use of exponents. -6.00001 x 10¹0
In Exercises 73–74, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree.(13x4 - 8x3 + 2x2) - (5x4 - 3x3 + 2x2 - 6)
In Exercises 67–82, find each product.(9x + 7y)2
In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.-5.4 and -1.2
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