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Questions and Answers of College Algebra

Expand each expression using the Binomial Theorem.(x + 1)5
Expand each expression using the Binomial Theorem.(x - 1)5
Expand each expression using the Binomial Theorem.(x - 2)6
Expand each expression using the Binomial Theorem.(x + 3)5
Prove each statement.If x 1, then xn > 1.
Find each sum. 50 Σ (34) _k=1
Prove each statement.If 0 < x < 1, then 0 < xn < 1.
Find the indicated term in each arithmetic sequence.90th term of 1, -2, -5, . . .
Find each sum. 30 Σκ k=1 2
Expand each expression using the Binomial Theorem.(√x - √3)4
Find each sum. 30 Σ (3k – 9) k=1
Find each sum. 40 Σ (−2k + 8) k=1
Find each sum. 7 k=1 -1 k
Find each sum. 10 Σ(-2)* k=1
Find the indicated term in each arithmetic sequence.70th term of 2√5, 4√5, 6√5, . . .
Find the nth term an of each geometric sequence.When given, r is the common ratio.7, 14, 28, 56, . . .
Find each sum.2 + 4 + 6 + . . . + 2n
Find each sum. - 4 + 4 + 4 + 23 + ... + 2n-1 4
Find the nth term an of each geometric sequence.When given, r is the common ratio.a6 = 243; r = -3
Find each sum.2 + 4 + 6 + . . . + 70
Find each sum. 3 + 9 + 33 9 + + 3″ 9
Find each sum.1 + 3 + 5 + . . . + 59
Find each sum. n k=1 3 k
Find each sum.5 + 9 + 13 + . . . + 49
Find each sum. n Σ4.3k-1 k=1
Find each sum. -1-2-4-8-.. - (2n-1)
Find each sum.2 + 5 + 8 + . . . + 41
Find each sum. 2+ 665 + 18 25 + n-1 · + 2(3)
Use a graphing utility to find the sum of each geometric sequence. 214 4 + + + + +
Find each sum.4 + 4.5 + 5 + 5.5 + . . . + 100
Find each sum. 1 3 8 + 8 +8=+8+9+ +50 4 2 4
Find each sum. 80 Σ(2n – 5) n=1
Find each sum. 90 Σ(3 – 2n) n=1
Find each sum. 100 n=1 1 6 5-½/n) 2
Find each sum. 80 1 Σ ( ² n + ² ) n=1 2
Express each sum using summation notation. + + 314 + + 13 13 + 1
Express each sum using summation notation. 1 3 + - 12/17 + - + (-1) ₁ ( 2² ) 9 36
Express each sum using summation notation.13 + 23 + 33 + . . . + 83
Express each sum using summation notation. 2 4 8 + 3 9 27 t + (-1) ¹2 11
Express each sum using summation notation. 3+ + ... 3n n
Express each sum using summation notation. 1 e + + +
Find the sum of each sequence. 40 Σ5 k=1
Find the sum of each sequence. 50 Σ8 k=1
Find the sum of each sequence. 40 Σκ k=1
Find the sum of each sequence. 24 Σ(-x) k=1
Find the sum of each sequence. 20 Σ (5k + 3) k=1
Find the sum of each sequence. 26 Σ (3k – 7) k=1
Find the sum of each sequence. 60 Σ (24) k=10
Solve: 3x2 - 2x = -1
Solve: |x - 4| ≤ 0.01
Use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places. Sy = x²/3 { y = ex
Graph the equation: y + 4 = x2
Use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places. [y = x³/2 y = ex
Use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places. [x² + y² = 2 x³y = 4
Graph each system of inequalities. Jy≤ x² [xy ≤ 4
Graph each system of inequalities. [x² + y² = 1 [x² + y² ≤ 4
Write each expression as a sum and/or difference of logarithms. Express powers as factors.log7 x5
The graph of a function f is given.Use the horizontal-line test to determine whether f is one-to-one. -3 y 3 -3- I 3 X
The graph of a function f is given.Use the horizontal-line test to determine whether f is one-to-one. -3 -3- 3X
The graph of a function f is given.Use the horizontal-line test to determine whether f is one-to-one. -3 у, 3- -3 3 x
The graph of a function f is given.Use the horizontal-line test to determine whether f is one-to-one. -3 2 3 X
The graph of a function f is given.Use the horizontal-line test to determine whether f is one-to-one. -3 3 3 x
The graph of a function f is given.Use the horizontal-line test to determine whether f is one-to-one. -3 y 3 3 x
Write each expression as a sum and/or difference of logarithms. Express powers as factors.log5(25x)
Write each expression as a sum and/or difference of logarithms. Express powers as factors.log2 z3
Write each expression as a sum and/or difference of logarithms. Express powers as factors. In- X
Write each expression as a sum and/or difference of logarithms. Express powers as factors. X 5 In
Write each expression as a sum and/or difference of logarithms. Express powers as factors. log₂ 1-³ x - 3 x > 3
Write each expression as a sum and/or difference of logarithms. Express powers as factors.ln(xex)
Write each expression as a sum and/or difference of logarithms. Express powers as factors. log [x(x + 2)] (x + 3)² x > 0
Write each expression as a sum and/or difference of logarithms. Express powers as factors. In 2 - x - 2 (x + 4)² 11/3 x > 2
Write each expression as a sum and/or difference of logarithms. Express powers as factors. In (x-4)²72/3 2-1 x > 4
Write each expression as a sum and/or difference of logarithms. Express powers as factors. In 5x V1 + 3x (x-4)³ x > 4
Write each expression as a sum and/or difference of logarithms. Express powers as factors. In 5r211 - x 4(x + 1)² 0 < x < 1
(a) graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any. (b) Determine the domain
(a) graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any. (b) Determine the domain
Solve each inequality algebraically.x3 - 4x2 > 0
Solve each inequality algebraically.x3 + 8x2 < 0
Solve each inequality algebraically.2x3 > -8x2
Solve each inequality algebraically.3x3 < -15x2
Solve each inequality algebraically.x4 > x2
Solve each inequality algebraically.x4 < 9x2
Solve each inequality algebraically.x4 > 1
Solve each inequality algebraically. x + 1 x - 1 0 <
Solve each inequality algebraically.x3 > 1
Solve each inequality algebraically. (x - 1)(x + 1) X ≤0
Solve each inequality algebraically. (x − 3)(x + 2) x-1 ≤0
Solve each inequality algebraically. (x - 2)² x² - 1 ≥ 0
Solve each inequality algebraically. (x + 5)² x² - 4 ≥ 0
Solve each inequality algebraically. x + 4 x-2 VI 1
Solve each inequality algebraically. x + 2 x - 4 ≥ 1
Solve each inequality algebraically. 3x - 5 X + 2
Solve each inequality algebraically. x - 4 2x + 4 ≥ 1 Z
Solve each inequality algebraically. 1 x - 2 2 3x - 9
Solve each inequality algebraically. 5 x - 3 3 x + 1
Solve each inequality algebraically. x²(3 + x)(x + 4) (x + 5)(x - 1) ≥ 0
Solve each inequality algebraically. x(x² + 1)(x - 2) (x - 1)(x + 1) ≥ 0
Solve each inequality algebraically. (3x)³(2x + 1) x³ - 1 < 0
Solve each inequality algebraically. (2 - x)³ (3x - 2) x³ + 1
Solve each inequality algebraically. (x + 1)(x − 3)(x - 5) > 0 -

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