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Questions and Answers of College Algebra

Factor. C c³ + 27d³
Use the binomial theorem to expand each binomial. X 2 y 4
Write the first five terms of each geometric sequence. a₁ = 5, r = 1 5
Simplify. x² - 16 x² + 2x8 x-4 x + 7
Find the indicated term for each arithmetic sequence. a12 -45, a10 = -37; a₁
Write the first five terms of each geometric sequence.a1 = 4, r = 2
Find the indicated term for each arithmetic sequence. a10 = -2, a15 = 13; az
Determine an expression for the general term an of each sequence. 2 3 4 5 5'6'7'8'
Use the binomial theorem to expand each binomial. X 3 5 2y) ³
Simplify. 5 2 p2 + 3pp2 - 4р
Write the first five terms of each geometric sequence. a₁-4, r = 0.5 =
Evaluate each sum if it exists. 5 i=1 4
Determine an expression for the general term an of each sequence. 1234 2'3'4'5'
Find the indicated term for each geometric sequence.2, -6, 18, . . . ; a11
Simplify. 5√72-4√50
Write the first five terms of each geometric sequence. a1 -40, r = 0.25 =
Use the binomial theorem to expand each binomial. (x² + 1)4
Find the indicated term for each geometric sequence.a3 = 20, a5 = 80; a10
Evaluate each sum if it exists. 8 i=1 3 (-1)i
Use the binomial theorem to expand each binomial. (x3 + 2)4 y3
Find the number of terms in each arithmetic sequence.3, 5, 7, . . . , 33
Horacio borrows $1000 and agrees to pay $100 plus interest of 1% on the unpaid balance each month. Find the payments for the first six months and the remaining debt at the end of that period.
Find the number of terms in each arithmetic sequence.4, 8, 12, . . . , 204
Evaluate the sum of the terms of each geometric sequence. In Exercises give answers to the nearest thousandth. a₁ = -3, r = 4; Find S10-
Graph. x - 3y = 6
Use the binomial theorem to expand each binomial. (3x² - y²)3
Evaluate each sum if it exists. Σ ¹(²)′ i=1
Evaluate the sum of the terms of each geometric sequence. In Exercises give answers to the nearest thousandth. a₁ = -5, r = 7; Find So.
Graph. 4x - y < 4
Evaluate each sum if it exists. 00 Σ 2(3) i=1
Leslie is offered a new job with a salary of 20,000 + 2500n dollars per year at the end of the nth year. Write a sequence showing her salary at the end of each of the first 5 yr. If she continues in
Find the number of terms in each arithmetic sequence.-7, -13, -19,. . . , -157
Suppose that an automobile loses 1/5 of its value each year; that is, at the end of any given year, the value is 4/5 of the value at the beginning of that year. If a car costs $20,000 new, what is
Find the number of terms in each arithmetic sequence.4, 1, -2, . . . , -32
Use the binomial theorem to expand each binomial. (2p² - q²) ³ 2
Graph each hyperbola. y2 4 x2 25 = 1 ||
Write the center-radius form of each circle described. Center: (0, 0); radius: 7
Find the slope of the line passing through the points (2, 5) and (-4, 1).
Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these
Solve. 2(x² - 3)² 5(x²-3) = 12
Graph each generalized square root function. Give the domain and range. y = -3. 1 x² 25
Graph each system of inequalities. x² - y² = 9 x2 y2 16 + 9 VI 1
Write the center-radius form of the circle with the given equation. Give the center and radius.x2 + y2 - 2x + 4y - 4 = 0
Match each equation with the correct graph. A. C. # y H 3 y 0 X X B. D. y 0 #
Graph each inequality. y=x²-2
Without actually plotting points, match each function defined by the absolute value expression with its graph.
Match each equation with the correct graph. A. C. # y H 3 y 0 X X B. D. y 0 #
Solve each system. y = x² - 84 4y = 20x
Graph. 4x² +9y² = 36
Write the center-radius form of each circle described. Center (-2, 4); radius: 3
Graph each hyperbola. y² 9 x² 4 1
How is the graph ofobtained from the graph of 1 f(x) = ₁ = 3 + x - +2
Graph each inequality. y>x² - 1
Write the center-radius form of each circle described. Center (4, 2); radius: 6
Solve each system. x2 — ху — y2 = −5 x² - y² = -3
Graph each hyperbola. x² 25 y² 36 1
Graph. 16y² - 4x² = 64
How is the graph ofobtained from the graph of f(x) = 1 x + 5 - 3
Solve each system. 3x - y = 12 2x+3y=-3
Find the equation of the line passing through the point (-3, -2) and perpendicular to the graph of 2x - 3y = 7.
Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these
Graph. || 1
Graph each inequality. 2y² ≥8-x²
Write the center-radius form of each circle described. Center: (-5, 0); radius: V2
Solve each system. x + y2z = 9 2x + y + z = 7 z = 13 3x y - N
Graph each hyperbola. x2 49 y2 16 || 1
Write the center-radius form of the circle with the given equation. Give the center and radius. x² + y² + 6x - 4y - 3 = 0
Graph each inequality. y² ≤4-2x²
Suppose that a nonlinear system is composed of equations whose graphs are those described, and the number of points of intersection of the two graphs is as given. Make a sketch satisfying these
Graph each function. Give the domain and range. f(x) = x + 1|
Solve each system using the substitution method. y = 4x² - x y = x
Find the center and radius of each circle. Then graph the circle.x2 + y2 = 4
Solve each system. xy = -5 2x + y = 3
Graph each hyperbola. 10 x2 99 = 1
Graph each function. Give the domain and range. f(x) = |x-1|
Graph each inequality. x²>4-y²
Find the center and radius of each circle. Then graph the circle.x2 + y2 = 1
Write the center-radius form of the circle with the given equation. Give the center and radius. x² + y² - 8x - 2y + 13 = 0
Identify the graph of each equation as a parabola, hyperbola, ellipse, or circle.6x2 + 4y2 = 12
Graph each inequality. x² ≤ 16-y² ,2
Graph each hyperbola. y² 16 x² 16 || 1
Solve each system using the substitution method. y = x² + 6x 3y = 12x
Graph each function. Give the domain and range. f(x) = 1 - +1 X
Find the center and radius of each circle. Then graph the circle.x2 + y2 = 81
Write the center-radius form of the circle with the given equation. Give the center and radius. 2x² + 2y² + 4x + 20y = -34
Find the center and radius of each circle. Then graph the circle. (x - 5)² + (y + 4)² = 49
Identify the graph of each equation as a parabola, hyperbola, ellipse, or circle.16x2 = 144 + 9y2
Graph each inequality. 9x² 16y²+144
Perform the indicated operations. (5y - 3)²
Solve each system using the substitution method. y = x² + 6x + 9 x+y = 3
Graph each function. Give the domain and range. f(x) = 1 X 1
Al and Bev traveled from their apartment to a picnic 20 mi away. Al traveled on his bike while Bev, who left later, took her car. Al’s average rate was half of Bev’s average rate. The trip took
Write the center-radius form of the circle with the given equation. Give the center and radius. 4x² + 4y2 24x + 16 = 48 -
Find the center and radius of each circle. Then graph the circle.x2 + y2 = 36
Identify the graph of each equation as a parabola, hyperbola, ellipse, or circle.y2 = 20 - x2
Perform the indicated operations. 8x4 4x³ + 2x² + 13x + 8 2x + 1
Solve each system using the substitution method. y = x² + 8x + 16 x - y = -4
Graph each function. Give the domain and range. f(x)=√x-2
Find the center and radius of each circle. Then graph the circle. (x + 2)² + (y- 5)² = 16
Identify the graph of each equation as a circle or an ellipse. (a) x² + y² = 121 y² x² (c) + 16 25 1 (b) x² + 4y² = 4 (d) 3x² + 3y² = 300

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