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Questions and Answers of College Algebra

In Problems 1–16, graph each equation using the following viewing windows: y = x - 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
Problems 68–75 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
Lotto America is a multistate lottery in which 5 red balls from a drum with 52 balls and 1 star ball from a drum with 10 balls are selected. For a $1 ticket, players get one chance at winning the
In Problems 1–4, determine which of the given viewing rectangles result in a square screen. Xmin = 5 Ymin = −4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1
Problems 75–83 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
In Problems 1–4, determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume that the coordinates are integers. -6
In Problems 1–16, graph each equation using the following viewing windows: y = -x - 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–4, determine which of the given viewing rectangles result in a square screen. Xmin = 0 Ymin = –2 Xmax 16 Ymax = 8 Xscl = 4 Yscl = 2
In Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded to two decimal places.y = x2 + 4x + 2
In Problems 1–16, graph each equation using the following viewing windows: y = 2x + 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–4, determine which of the given viewing rectangles result in a square screen. Xmin = −10 Ymin -7 Xmax = 14 Ymax = 8 Xscl = 2 Yscl = 3
In Problems 5–10, determine the viewing window used. NORMAL FLOAT AUTO REAL RADIAN MP 6 0 16
In Problems 1–16, graph each equation using the following viewing windows: y = -2x + 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–16, graph each equation using the following viewing windows: y = 2x - 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–4, determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume that the coordinates are integers. -10 104 10
In Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded to two decimal places.y = x2 + 4x - 3
In Problems 5–10, determine the viewing window used. NORMAL FLOAT AUTO REAL RADIAN MP -3 2 43
In Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded to two decimal places.y = 2x2 + 4x + 1
In Problems 1–16, graph each equation using the following viewing windows: y = -2x - 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–16, graph each equation using the following viewing windows: y = x2 - 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–16, graph each equation using the following viewing windows: y = x2 + 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded to two decimal places.y = 3x2 + 5x + 1
In Problems 5–10, determine the viewing window used. NORMAL FLOAT AUTO REAL RADIAN MP 3 -6 16 0
In Problems 5–10, determine the viewing window used. NORMAL FLOAT AUTO REAL RADIAN MP 10- 32 0 9
In Problems 5–10, determine the viewing window used. NORMAL FLOAT AUTO REAL RADIAN MP -9 12 0 49
In Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded to two decimal places.y = 2x2 - 3x - 1
In Problems 1–16, graph each equation using the following viewing windows: y = -x2 - 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–16, graph each equation using the following viewing windows: y = -x2 + 2 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded to two decimal places.y = 2x2 - 4x - 1
In Problems 1–16, graph each equation using the following viewing windows: 3x + 2y = 6 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 5–10, determine the viewing window used. NORMAL FLOAT AUTO REAL RADIAN MP -22. -8 -10
In Problems 1–16, graph each equation using the following viewing windows: -3x + 2y = 6 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 7–12, use ZERO (or ROOT) to approximate the positive x-intercepts of each equation. Express each answer rounded to two decimal places. y = x3 + 3.2x2 - 16.83x - 5.31
In Problems 11–16, select a setting so that each of the given points will lie within the viewing rectangle. (5,0), (6,8), (-2, -3)
In Problems 11–16, select a setting so that each of the given points will lie within the viewing rectangle. (-10, 5), (3,-2), (4, -1)
In Problems 1–16, graph each equation using the following viewing windows: 3x - 2y = 6 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 7–12, use ZERO (or ROOT) to approximate the positive x-intercepts of each equation. Express each answer rounded to two decimal places.y = x3 + 3.2x2 - 7.25x - 6.3
In Problems 1–16, graph each equation using the following viewing windows: -3x - 2y = 6 (a) Xmin = –5 Ymin = -4 Xmax = 5 Ymax = 4 Xscl = 1 Yscl = 1 (b) Xmin = −10 Ymin = -8 Xmax = 10 Ymax =
In Problems 11–16, select a setting so that each of the given points will lie within the viewing rectangle. (-80, 60), (20, -30), (-20, -40)
In Problems 7–12, use ZERO (or ROOT) to approximate the positive x-intercepts of each equation. Express each answer rounded to two decimal places.y = x4 - 1.4x3 - 33.71x2 + 23.94x + 292.41
In Problems 11–16, select a setting so that each of the given points will lie within the viewing rectangle. (40, 20), (-20, -80), (10,40)
In Problems 7–12, use ZERO (or ROOT) to approximate the positive x-intercepts of each equation. Express each answer rounded to two decimal places.y = x4 + 1.2x3 - 7.46x2 - 4.692x + 15.2881
In Problems 11–16, select a setting so that each of the given points will lie within the viewing rectangle. (0, 0), (100, 5), (5, 150)
In Problems 7–12, use ZERO (or ROOT) to approximate the positive x-intercepts of each equation. Express each answer rounded to two decimal places.y = x3 + 19.5x2 - 1021x + 1000.5
In Problems 7–12, use ZERO (or ROOT) to approximate the positive x-intercepts of each equation. Express each answer rounded to two decimal places.y = x3 + 14.2x2 - 4.8x - 12.4
In Problems 11–16, select a setting so that each of the given points will lie within the viewing rectangle. (0, -1), (100, 50), (-10, 30)
In Problems 1 and 2, list the first five terms of each sequence. {$n} = n + 8
In Problems 1–4, list the first five terms of each sequence. {en} = 27 n
In Problems 1–4, list the first five terms of each sequence. {an} n+ - { (-1)^(^² + 2)}
In Problems 3 and 4, expand each sum. Evaluate each sum. 3 Σ(-1)*+1 k=1 k + 1 k? 2
In Problems 1–4, list the first five terms of each sequence. a₁ = 3; an 2 3 an-1
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1 3 + 4 + 5 + + (n + 2) = n(n+ 5) 2 ·
Write the following sum using summation notation. 2 3 + 5 6 4 7 . + 11 14
In Problems 3 and 4, expand each sum. Evaluate each sum. NIC - k
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n.2 + 4 + 6 + .... + 2n = n(n + 1).
In Problems 1 and 2, list the first five terms of each sequence.a1 = 4, an 3an -1 + 2
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 2+5+8+.. 1 +(3n-1) 1) = zn (3n+1)
In Problems 5–16, evaluate each expression. n زر 3
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n.1 + 5 + 9 + .... + (4n - 3) = n(2n - 1)
In Problems 5–16, evaluate each expression.
In Problems 5–16, evaluate each expression. 5
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1+4+7+ + (3n - 2) = |zn(3n — 1)
In Problems 5–16, evaluate each expression.
In Problems 6–11, determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference and the sum of the first n terms. If the
In Problems 1–4, list the first five terms of each sequence.a1 = 2; an = 2 - an-1
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n.3 + 5 + 7 + ... + (2n + 1) = n(n + 2)
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {n} = {4"}
In Problems 5–16, evaluate each expression. 50 49
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1+ 4+4² + .. +4"-1 || 1 3 (4"-1)
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1+ 3 + 3² + ... + 3²²-1 1 z (3" - 1)
In Problems 6–11, determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference and the sum of the first n terms. If the
In Problems 5–16, evaluate each expression. 100 98
In Problems 6–11, determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference and the sum of the first n terms. If the
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {n} = {(-5)"}
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {an} = 30
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1 +5+52 + + 5-1 || 1 (5"-1)
In Problems 5–16, evaluate each expression. 1000 1000
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1 1.2 + 1 2.3 + 1 3.4 + 1 n(n + 1) n n+1
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n.1 + 2 + 22 + ... + 2n-1 = 2n - 1
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {bn} = {.(})}
In Problems 5–16, evaluate each expression. (1000)
In Problems 7–12, determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference and the sum of the first n terms. If the
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1 1.3 1 + 3.5 1 5.7 + 1 (2n-1) (2n + 1) n 2n + 1
In Problems 7–12, determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference and the sum of the first n terms. If the
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {Cn} 2"-1 4
In Problems 5–16, evaluate each expression. 55 23
In Problems 13–16, find each sum. 30 Σ (k' + 2) k=1
In Problems 13–16, find each sum. 40 Σ(-2k + 8) k=1
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {en} = {7¹"¹/4}
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {dn} 3″
In Problems 5–16, evaluate each expression. 47 25
In Problems 5–16, evaluate each expression. 60 20,
In Problems 13–16, find each sum. 7 k=1 k
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {fn} = {3²"}
In Problems 1–22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 1 1·2+3.4+ 5.6 + ··· + (2n − 1) (2n) = n(n .. (n+1)(4n-1)
In Problems 5–16, evaluate each expression. 37 19,
In Problems 17–19, find the indicated term in each sequence. 1 1 11th term of 1,- '10' 100'
In Problems 13–16, find each sum. 10 Σ(-2)* k=1
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms 3n-1 2⁰² :}
In Problems 9–18, show that each sequence is geometric. Then find the common ratio and list the first four terms. {Un} 2² 3"-1

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