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College Algebra 7th Edition Robert F Blitzer - Solutions
In Exercises 65–92, factor completely, or state that the polynomial is prime.x3 - 4x
In Exercises 67–82, find each product.(x2y2 - 3)2
In Exercises 73–80, perform the indicated operations. Simplify the result, if possible. y-1 (y + 5)-1 5
In Exercises 75–84, state the name of the property illustrated.6 + (-4) = (-4) + 6
In Exercises 67–82, find each product. (x - y)(x² + xy + y²)
In Exercises 75–81, find each product.(3x - 5)(2x + 1)
In Exercises 75–82, add or subtract terms whenever possible. 3V/24 + √81
In Exercises 67–82, find each product. (zh + kx − zx)(x + x)
In Exercises 73–80, perform the indicated operations. Simplify the result, if possible. y-¹ - (y + 2)-¹ 2
In Exercises 67–82, find each product. (3x + 5y) (3x - 5y)
In Exercises 75–82, add or subtract terms whenever possible. V/54xy³ - y√128x
In Exercises 75–84, state the name of the property illustrated.6 + (2 + 7) = (6 + 2) + 7
In Exercises 75–82, add or subtract terms whenever possible. V24xy³ - y√81x
In Exercises 77–86, write each number in scientific notation.32,000
In Exercises 73–80, perform the indicated operations. Simplify the result, if possible. 1 a³-b³ ac + ad 1 bc - bd c- d a² + ab + b² 2
In Exercises 75–81, find each product.(4x + 5)(4x - 5)
In Exercises 67–82, find each product. (7x + 3y)(7x - 3у)
In Exercises 75–84, state the name of the property illustrated.6 · (2 · 3) = 6 · (3 · 2)
In Exercises 65–92, factor completely, or state that the polynomial is prime.x2 + 36
In Exercises 77–86, write each number in scientific notation.64,000
In Exercises 75–81, find each product.(2x + 5)2
In Exercises 65–92, factor completely, or state that the polynomial is prime.x3 + 2x2 - 4x - 8
In Exercises 77–86, write each number in scientific notation.638,000,000,000,000,000
In Exercises 75–84, state the name of the property illustrated.(2 + 3) + (4 + 5) = (4 + 5) + (2 + 3)
In Exercises 65–92, factor completely, or state that the polynomial is prime.x3 + 2x2 - x - 2
In Exercises 75–81, find each product.(3x - 4)2
In Exercises 77–86, write each number in scientific notation.579,000,000,000,000,000
In Exercises 75–81, find each product.(2x + 1)3
In Exercises 83–90, perform the indicated operation or operations. (2x - 7)³ (2x - 7)³
In Exercises 83–90, perform the indicated operation or operations.(5x - 7)(3x - 2) - (4x - 5)(6x - 1)
The area of the rectangular piece of cardboard shown below is 216 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 224 cubic inches, find the length and width of the cardboard that must
You overhear a student talking about a property of logarithms in which division becomes subtraction. Explain what the student means by this.
In Exercises 87–90, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.The functions f(x) = (1/3)x and g(x) = 3-x have the same graph.
Use a graphing utility to graph y = ax2 + bx + c related to any five of the quadratic equations, ax2 + bx + c = 0, in Exercises 75–82. How does each graph illustrate what you determined algebraically using the discriminant?Taken Equations from Exercise 75-82 75. x² - 4x5=0 77. 2x² 11x + 3 =
In Exercises 142–143, find all integers b so that the trinomial can be factored.x2 + 4x + b
If bA = MN, bC = M, and bD = N, what is the relationship among A, C, and D?
In Exercises 144–147, determine whether each statement makes sense or does not make sense, and explain your reasoning.The humor in this cartoon is based on the fact that the football will never be hiked. HUTT ONE... HUTT TWO... HUTT THREE... ...POINT
In Exercises 73–80, perform the indicated operations. Simplify the result, if possible. ab a² + ab + b² ac ac bc + bda³-b³ a³ + b³ ad ad + bc - bd
In Exercises 75–82, add or subtract terms whenever possible. 8A+ZA
The rational expressiondescribes the cost, in millions of dollars, to inoculate x percent of the population against a particular strain of flu.a. Evaluate the expression for x = 40, x = 80, and x = 90. Describe the meaning of each evaluation in terms of percentage inoculated and cost.b. For what
The bar graph shows the estimated number of calories per day needed to maintain energy balance for various gender and age groups for moderately active lifestyles. (Moderately active means a lifestyle that includes physical activity equivalent to walking 1.5 to 3 miles per day at 3 to 4 miles per
In Exercises 75–82, add or subtract terms whenever possible. SIA + EA
In Exercises 67–82, find each product. (7xy² - 10y)(7xy² + 10y)
In Exercises 67–82, find each product. (3ху2 - 4у)(3ху2 + 4y)
In Exercises 75–84, state the name of the property illustrated.7 · (11 · 8) = (11 · 8) · 7
In Exercises 83–90, evaluate each expression without using a calculator. 36²
In Exercises 65–92, factor completely, or state that the polynomial is prime.y5 - 81y
The average rate on a round-trip commute having a one-way distance d is given by the complex rational expressionin which r1 and r2 are the average rates on the outgoing and return trips, respectively. Simplify the expression. Then find your average rate if you drive to campus averaging 40 miles per
In Exercises 75–84, state the name of the property illustrated.2(-8 + 6) = -16 + 12
In Exercises 83–90, evaluate each expression without using a calculator. 121²
In Exercises 77–86, write each number in scientific notation.-5716
In Exercises 75–84, state the name of the property illustrated. 1 (x + 3) (x + 3) = 1, x = −3
In Exercises 65–92, factor completely, or state that the polynomial is prime.y5 - 16y
In Exercises 75–81, find each product.(5x - 2)3
In Exercises 82–83, perform the indicated operations. Indicate the degree of the resulting polynomial.(7x2 - 8xy + y2) + (-8x2 - 9xy - 4y2)
In Exercises 75–84, state the name of the property illustrated.-8(3 + 11) = -24 + (-88)
In Exercises 84–85, express the perimeter of each rectangle as a single rational expression. x x + 3 X x + 4
In Exercises 77–86, write each number in scientific notation.-3829
In Exercises 65–92, factor completely, or state that the polynomial is prime.20y4 - 45y2
In Exercises 83–90, evaluate each expression without using a calculator. 83
In Exercises 83–90, perform the indicated operation or operations.(3x + 4y)2 - (3x - 4y)2
In Exercises 82–83, perform the indicated operations. Indicate the degree of the resulting polynomial.(13x3y2 - 5x2y - 9x2) - (-11x3y2 - 6x2y + 3x2 - 4)
In Exercises 77–86, write each number in scientific notation.0.0027
In Exercises 65–92, factor completely, or state that the polynomial is prime.48y4 - 3y2
In Exercises 83–90, evaluate each expression without using a calculator. 273
In Exercises 83–90, perform the indicated operation or operations.(5x + 2y)2 - (5x - 2y)2
In Exercises 83–90, evaluate each expression without using a calculator. 2 1253
In Exercises 84–88, find each product.(x + 7y)(3x - 5y)
In Exercises 75–84, state the name of the property illustrated.(x + 4) + [-(x + 4)] = 0
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (3 x 104) (2.1 x 10³)
In Exercises 77–86, write each number in scientific notation.0.0083
In Exercises 65–92, factor completely, or state that the polynomial is prime.x2 - 12x + 36 - 49y2
In Exercises 84–88, find each product.(3x - 5y)2
In Exercises 83–90, evaluate each expression without using a calculator. गर 83
In Exercises 85–96, simplify each algebraic expression.5(3x + 4) - 4
In Exercises 77–86, write each number in scientific notation.-0.00000000504
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (2 × 104) (4.1 × 10³)
In Exercises 65–92, factor completely, or state that the polynomial is prime.x2 - 10x + 25 - 36y2
In Exercises 83–90, perform the indicated operation or operations.(3x + 5)(2x - 9) - (7x - 2)(x - 1)
In Exercises 83–90, evaluate each expression without using a calculator. 32
In Exercises 84–88, find each product.(3x2 + 2y)2
In Exercises 85–96, simplify each algebraic expression.2(5x + 4) - 3
In Exercises 77–86, write each number in scientific notation.-0.00000000405
What is a rational expression?
In Exercises 65–92, factor completely, or state that the polynomial is prime.9b2 x - 16y - 16x + 9b2 y
In Exercises 103–110, insert either , or = in the shaded area to make a true statement. |-6 -3|
In Exercises 83–90, perform the indicated operation or operations.(2x + 5)(2x - 5)(4x2 + 25)
Use Einstein’s special-relativity equationdescribed in the Blitzer Bonus on page 47, to solve this exercise. You are moving at 90% of the speed of light. Substitute 0.9c for v, your velocity, in the equation. What is your aging rate, correct to two decimal places, relative to a friend on Earth?
In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (1.6 x 10¹5) (4 x 10-11)
In Exercises 84–88, find each product.(7x + 4y)(7x - 4y)
In Exercises 85–96, simplify each algebraic expression.5(3x - 2) + 12x
In Exercises 133–136, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. V20 8 || V10 4
Exercises 115–117 will help you prepare for the material covered in the next section. In each exercise, replace the boxed question mark with an integer that results in the given product. Some trial and error may be necessary. (x+3)(x + ?) = x² + 7x + 12
In Exercises 101–108, simplify by reducing the index of the radical. √√√x4 X²
Explain how to determine which numbers must be excluded from the domain of a rational expression.
In Exercises 65–92, factor completely, or state that the polynomial is prime.16a2 x - 25y - 25x + 16a2 y
a. A mathematics professor recently purchased a birthday cake for her son with the inscriptionHow old is the son?b. The birthday boy, excited by the inscription on the cake, tried to wolf down the whole thing. Professor Mom, concerned about the possible metamorphosis of her son into a blimp,
In Exercises 137–138, fill in each box to make the statement true. (5+√) (5-√) = 22
In Exercises 83–90, perform the indicated operation or operations.(3x + 4)(3x - 4)(9x2 + 16)
In Exercises 133–140, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 5².5-2 > 25.2-5
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