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Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 3DE
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6. When completely factored, the expression 48 – 3x² is written as () 3(16- к)(16+х) (3) 3(x-4)(x+4) (2) 3(x-16)(x+16) (4) 3(4–x)(4+x) 7. Which of the following represents the greatest common factor of the terms 4x²y® and 18xy³ ? (1) 36xy (3) 2.xy* (2) 4x²y³ (4) 2.x²y² 8. Which of the following is not a factor of 6x² – 18x ? (1) x – 3 (3) 12 (2) 2 (4) x 9. Which of the following prime numbers is not a factor of the integer 330? (1) 11 (3) 3 (2) 7 (4) 5 APPLICATIONS 10. The area of any rectangular shape is given by the product of its width and length. If the area of a particular rectangular garden is given by A=15x² – 35x and its width is given by 5x, then find an expression for the garden's length. Justify your response. 11. The volume of a particular rectangular box is given by the equation V = 50x – 2x. The height and length of the box are shown on the diagram below. Find the width of the box in terms of x. Recall that V = L ·W · H for a rectangular box. 2х x+5 ? 12. A projectile is fired from ground level such that its height, h, as a function of time, t, is given by h = -161 +801 . Written in factored form this equation is equivalent to (1) h=-16t(t+4) (3) h=-16t(t-5) (2) h=-8t(2t – 7) (4) h=-8t(t-5)
Transcribed Image Text:6. When completely factored, the expression 48 – 3x² is written as () 3(16- к)(16+х) (3) 3(x-4)(x+4) (2) 3(x-16)(x+16) (4) 3(4–x)(4+x) 7. Which of the following represents the greatest common factor of the terms 4x²y® and 18xy³ ? (1) 36xy (3) 2.xy* (2) 4x²y³ (4) 2.x²y² 8. Which of the following is not a factor of 6x² – 18x ? (1) x – 3 (3) 12 (2) 2 (4) x 9. Which of the following prime numbers is not a factor of the integer 330? (1) 11 (3) 3 (2) 7 (4) 5 APPLICATIONS 10. The area of any rectangular shape is given by the product of its width and length. If the area of a particular rectangular garden is given by A=15x² – 35x and its width is given by 5x, then find an expression for the garden's length. Justify your response. 11. The volume of a particular rectangular box is given by the equation V = 50x – 2x. The height and length of the box are shown on the diagram below. Find the width of the box in terms of x. Recall that V = L ·W · H for a rectangular box. 2х x+5 ? 12. A projectile is fired from ground level such that its height, h, as a function of time, t, is given by h = -161 +801 . Written in factored form this equation is equivalent to (1) h=-16t(t+4) (3) h=-16t(t-5) (2) h=-8t(2t – 7) (4) h=-8t(t-5)
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