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Questions and Answers of College Algebra

Graph each horizontal parabola, and give the domain and range.x - 2 = (y - 4)2
Graph each horizontal parabola, and give the domain and range.x = (y + 1)2
Graph each horizontal parabola, and give the domain and range.x = (y - 3)2
Graph each horizontal parabola, and give the domain and range.x - 2 = y2
Graph each horizontal parabola, and give the domain and range.x + 4 = y2
For each parabola, give the vertex, focus, directrix, axis of symmetry, domain, and range. (y - 4)? = 12(x + 3) Vertex Focus -- Axis Directrix
For each parabola, give the vertex, focus, directrix, axis of symmetry, domain, and range. y (r – 2)? = 8( y + 1) Axis Focus Vertex | Directrix
Match each equation of a parabola in Column I with its description in Column II. П (a) y = 2x? + 3x + 9 (b) у%3D —3x2 + 4х — 2 (c) x= 2y2 – 3y+ 9 (d) x= -3y² – 4y + 2 A. opens right B.
Match each equation of a parabola in Column I with its description in Column II. П A. vertex (-2, 4); opens down (a) y – 2 = (x + 4)² (b) у — 4 — (х +2) (c) y - 2 = -(x + 4)² B. vertex
Solve each system using the inverse of the coefficient matrix.x + y = 5y - 2z = 23x + 3z = -27
Solve each system using the inverse of the coefficient matrix.2x + y = -63x - y = -29
Find the inverse, if it exists, for each matrix. 3 4 -2 -5 -7.
Find the inverse, if it exists, for each matrix. [ 4 12 [2 6]
Find the inverse, if it exists, for each matrix. -8 5 3 -2
Which of the following properties does not apply to multiplication of matrices?A. Commutative B. Associative C. Distributive D. Identity
Perform each operation, if possible. 2 -4 [3 5. 2.
Perform each operation, if possible. [2 1 5] -3 [ 4 0 -2] 2. 3.
Perform each operation, if possible. 2 8 2.
Perform each operation, if possible. -2 61 3 3 1 [5 -4 3 - 1 9. 8
The Schwab Company designs and sells two types of rings: the VIP and the SST. The company can produce up to 24 rings each day using up to 60 total hours of labor. It takes 3 hr to make one VIP ring
Find the value of each variable for which the statement is true. [5 x+6] 4 y – 2 4 - x w + 7| [0
Maximize the objective function 2x + 3y for the following constraints.x ≥ 0y ≥ 0x + 2y ≤ 243x + 4y ≤ 60
Graph the solution set.x - 3y ≥ 6y2 ≤ 16 - x2
Find two numbers such that their sum is -1 and the sum of their squares is 61.
Solve the nonlinear system of equations.x2 + y2 = 25x + y = 7
Solve the nonlinear system of equations.2x2 + y2 = 6x2 - 4y2 = -15
Find the partial fraction decomposition for each rational expression. x + 2 x3 + 2x? + x
Find the partial fraction decomposition for each rational expression. 9х + 19 х2 + 2х — 3
Use Cramer’s rule to solve the system of equations.x + y - z = -42x - 3y - z = 5x + 2y + 2z = 3
Use Cramer’s rule to solve each system of equations.2x - 3y = -334x + 5y = 11
Evaluate the determinant. 2 0 12 5 -3
Evaluate the determinant. 2.
A knitting shop orders yarn from three suppliers in Toronto, Montreal, and Ottawa. One month the shop ordered a total of 100 units of yarn from these suppliers. The delivery costs were $80, $50, and
Find the equation y = ax2 + bx + c of the parabola through the given points. (4, 11) 10 (1, 5) f(2, 3) 아 2
Use the Gauss-Jordan method to solve each system.3x - 4y + 2z = 152x - y + z = 13x + 2y - z = 5
Use the Gauss-Jordan method to solve each system.3x - 2y = 134x - y = 19
Use the substitution or elimination method to solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions,
Use the substitution or elimination method to solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions,
Use the substitution or elimination method to solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions,
Use the substitution or elimination method to solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions,
Use the substitution or elimination method to solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions,
Solve each system using the inverse of the coefficient matrix.x + y + z = 12x - y = -23y + z = 2
Solve each system using the inverse of the coefficient matrix.3x + 2y + z = -5x - y + 3z = -52x + 3y + z = 0
Solve each system using the inverse of the coefficient matrix.2x + y = 53x - 2y = 4
Solve each system using the inverse of the coefficient matrix.5x - 4y = 1x + 4y = 3
Find the inverse, if it exists, for each matrix. 3 5 -2 -3 -5 2 4. 2.
Find the inverse, if it exists, for each matrix. 07 -2 0
Find the inverse, if it exists, for each matrix. -4 2
Find the inverse, if it exists, for each matrix. [5 3.
Perform each operation, if possible. 3 2 1 -2 9 -4 10
Perform each operation, if possible. -2 5 -1 3 -4 -1,
Perform each operation, if possible. -2 1 -1 8 2.
Perform each operation, if possible. -2 3 2 6. _4 0 3 1
Perform each operation, if possible. 2 4 3 0 -1 -6 5
Perform each operation, if possible. -1 -3 2 5. 2 8.
Perform each operation, if possible. -3 4 -1 2 8. 2 5
Perform each operation, if possible. 2 5 8 1 9 2 3
Perform each operation, if possible. 3 -4 2 -1 6] -3 2 10 4, 4,
Perform each operation, if possible. 3 -4 2.
Find the values of the variables for which each statement is true, if possible. 3 3 – 2k 5 8p 5r] ба 5 -6 + k a + y 2r -2 + т Зр | 2m 11 5 -35]
Find the values of the variables for which each statement is true, if possible. Зх — 1 [ 5y 5 х+2 -бу
Solve the problem.A 4-H member raises only geese and pigs. She wants to raise no more than 16 animals, including no more than 10 geese. She spends $5 to raise a goose and $15 to raise a pig, and she
Solve the problem.Certain laboratory animals must have at least 30 g of protein and at least 20 g of fat per feeding period. These nutrients come from food A, which costs $0.18 per unit and supplies
Determine the system of inequalities illustrated in the graph. Write each inequality in standard form. -2 4.
Maximize the objective function 2x + 4y for the following constraints.x ≥ 0y ≥ 03x + 2y ≤ 125x + y ≥ 5
Graph the solution set of the system of inequalities. - 2 3 у? — 16 — х?
Graph the solution set of the system of inequalities.x + y ≤ 62x - y ≥ 3
Solve the problem.Find the equation of the line passing through the points of intersection of the graphs of x2 + y2 = 20 and x2 - y = 0.
Solve the problem.Do the circle x2 + y2 = 144 and the line x + 2y = 8 have any points in common? If so, what are they?
Solve the problem.Find all values of b such that the straight line 3x - y = b touches the circle x2 + y2 = 25 at only one point.
Solve the nonlinear system of equations.2x2 - 3y2 = 182x2 - 2y2 = 14
Solve the nonlinear system of equations.x2 + 2xy = 15 + 2xxy - 3x + 3 = 0
Solve the nonlinear system of equations.x2 + 2xy + y2 = 4x - 3y = -2
Solve each nonlinear system of equations.xy + 2 = 0y - x = 3
Solve each nonlinear system of equations.xy = -10x + 2y = 1
Solve each nonlinear system of equations.2x2 + 3y2 = 30x2 + y2 = 13
Solve each nonlinear system of equations.x2 + y2 = 172x2 - y2 = 31
Solve each nonlinear system of equations.x2 = 2y - 3x + y = 3
Solve each nonlinear system of equations.y = 2x + 10x2 + y = 13
Find the partial fraction decomposition for each rational expression. x3 + 2x2 – 3 x4 – 4x2 + 4 х
Find the partial fraction decomposition for each rational expression. 5 – 2x (x² + 2)(x – 1)
Find the partial fraction decomposition for each rational expression. 11 – 2x x2 – 8x + 16
Find the partial fraction decomposition for each rational expression. 2 Зx2 — 5х + 2
Solve the equation. 6х = 2x 3 2 -1 2.
Solve each equation. Зх 7 = 8 4 —х
Use Cramer’s rule to solve each system of equations. If D = 0, use another method to determine the solution set.5x - 2y - z = 8-5x + 2y + z = -8x - 4y - 2z = 0
Use Cramer’s rule to solve each system of equations. If D = 0, use another method to determine the solution set.x + y = -12y + z = 53x - 2z = -28
Use Cramer’s rule to solve each system of equations. If D = 0, use another method to determine the solution set.3x + 2y + z = 24x - y + 3z = -16x + 3y - z = 12
Use Cramer’s rule to solve each system of equations. If D = 0, use another method to determine the solution set.6x + y = -312x + 2y = 1
Use Cramer’s rule to solve each system of equations. If D = 0, use another method to determine the solution set.3x + y = -15x + 4y = 10
Use Cramer’s rule to solve each system of equations. If D = 0, use another method to determine the solution set.3x + 7y = 25x - y = -22
Evaluate the determinant. -3 6 -4 -14 2.
Evaluate the determinant. 2 3 -1 4 5 -1
Evaluate the determinant. -2 4 3 0 2 -1 3
Evaluate the determinant. x 4x 2x 8x
Evaluate the determinant. -2 4
Evaluate each determinant. 9.
One refrigerator sells for $700 and uses $85 worth of electricity per year. A second refrigerator is $100 more expensive but costs only $25 per year to run. Assuming that there are no repair costs,
During the period 1975–2012, the numbers of master’s degrees awarded to both males and females grew, but degrees earned by females grew at a greater rate. If x = 0 represents 1975 and x = 37
Solve each problem using the Gauss-Jordan method to solve a system of equations.A 5% solution of a drug is to be mixed with some 15% solution and some 10% solution to make 20 ml of 8% solution. The

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