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Graph the inequality. 325) y ? |x + 6| 326) (x + 3)2 + (y - 5) 2 ? 9 Determine the inequality which matches the calculator graph. Do not use your calculator. Instead, use your knowledge of the concepts involved in graphing inequalities. 327) A) y ? -3x + 1 B) y ? 3x +.
Solve the system. 31) A) {(-1, 3)} B) {(1, -3)} C) D) {(3, -1)} Use a graphing calculator to solve the system. Express solutions with approximations to the nearest thousandth. 32) ?2x - y = 7 100x + y = 9 A) {(0.020, 6.971)} B) {(0.157, -6.686)} C) {(0.154, -6.444)} D) {(0.158, -6.777)} 33) 9/7 x + y = 5 0.4x -.
Find the partial fraction decomposition for the rational expression. 243) A) B) C) D) 244) A) B) C) D) 245) A) B) C) D) 246) A) B) C) D) 247) A) B) C) D) .
Which method should be used to solve the system? Explain your answer, including a description of the first step. 308) -2x2+ 5y2= 4 -2x - 2y = -1 309) 7x2+ 8y2= 4 -2x2+ 7y2= 49 .
Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary. 26) 2x - y - 3 = 0 -4x +2y + 6 = 0 A) {(x, 4x - 3)} B) {(x, 3 - 2x)} C) ? D) {(x, 2x - 3)} Solve the system. 27) A) {(-9, 6)} B) {(6, -9)} C) {(7,.
Find the indicated matrix. 418) Let A = [-4 2] and B = [1 0]. Find 3A + 4B. A) [-7 4] B) [-12 4] C) [-8 6] D) [-1 2] The sizes of two matrices are given. Find the size of the product AB and the size of the product BA, if the given product.
Which method should be used to solve the system? Explain your answer, including a description of the first step. 305) x2+ y2= 25 -10x - 4y = -7 306) -3x2+ 10y2= 4 x - 5y = 1 307) -7x2+ y2= 64 -5x2+ 4y2= 100 .
Use a graphing calculator to solve the system. Express solutions with approximations to the nearest thousandth. 36) 1.2x + ?7y = -8 -4.5x - ?5y = 10 A) {(0.584, -3.290)} B) ? C) {(-0.929, -2.602)} D) {(4.808, -5.205)} Solve the system. 37) x + y + z = -4 x - y + 4z = 21 2x + y +.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the inequality. 310) -2x - 4y ? 8 311) 3x + 4y ? 12 312) -2x - 3y ? -6 313) x - y > -6 314) x + y < -4 .
Perform the operation or operations when possible. 409) [-3 7 4] - [4 3] A) [-7 4 1] B) [-7 7 1] C) [-7 4 4] D) They cannot be subtracted. 410) A) B) C) D) 411) A) B) C) D) 412) A) B) C) D) .
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 451) Which of the following properties do not hold for matrix multiplication? (i) Associative property (ii) Commutative property (iii) Distributive property (iv) Zero-factor property (If the product of two matrices is a zero matrix, then one of the factors must.
Determine the inequality which matches the calculator graph. Do not use your calculator. Instead, use your knowledge of the concepts involved in graphing inequalities. 330) A) y ? 2x - 3 B) y ? -2x - 3 C) y ? 2x - 3 D) y ? -2x - 3 331) A) y ? 3x - 2 B).
Graph the solution set of the system of inequalities. 350) 351) 352) 353) x ? 0 y ? 0 x2+ y2 ? 9 y + x ? -5 354) y ? -x2 y ? x + 1 y ? -5 x ? -4 .
Find the values of the variables for which the statement is true, if possible. 394) A) m = 7; n = 7; x = 2 B) m = 3; n = 11; x = 0 C) m = -11; n = -3; x = -2 D) m = 11; n = 3; x =.
Graph the solution set of the system of inequalities. 340) 3x - 2y ? 6 x - 1 ? 0 341) 3x - 2y ? -6 x - 1 < 0 342) x + 2y ? 2 x + y ? 0 343) x - 2y ? 2 x + y ? 0 344) x + 2y ? 2 x.
Graph the solution set of the system of inequalities. 355) 356) y ? 3x y ? 8 A) B) C) D) 357) 358) ?x? ? 5 y ? 3 y ? x2- 3 359) .
Perform the operation or operations when possible. 404) A) B) C) D) 405) A) B) C) D) 406) A) They cannot be added. B) C) D) 407) A) B) C) D) 408) A) B) C) D) .
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Which method should be used to solve the system? Explain your answer, including a description of the first step. 302) x2+ y2= 100 x + 5y = 2 303) x2- y2= 16 4x + y = -8 304) x2- 5y2=.
A nonlinear system is given, along with the graphs of both equations in the system. Determine if the points of intersection specified on the graph are solutions of the system by substituting directly into both equations. 258) x2= y - 1 y = 2x + 16 A) Yes B) No 259) x2+ y2= 25 2y +.
Find the indicated matrix. 413) Let . Find 3A. A) B) C) D) 414) Let B = [-1 6 6 -3]. Find -4B. A) [-3 4 4 -5] B) [4 6 6 -3] C) [4 -24 -24 12] D) [-4 24 24 -12] 415) Let . Find ½ C. A) B) C) D) 416) Let and ..
Determine the system of inequalities illustrated in the graph. Write inequalities in standard form. 365) A) x - y < 4 x + y > 7 B) x - y < 4 x + y < 7 C) x - y > 4 x + y < 7 D) x - y > 4 x + y > 7 366) A).
Find the partial fraction decomposition for the rational expression. 238) A) B) C) D) 239) A) B) C) D) 240) A) 7 B) -7 C) -3 D) 3 241) A) B) C) D) 242) A) B) C) D) .
Determine the inequality which matches the calculator graph. Do not use your calculator. Instead, use your knowledge of the concepts involved in graphing inequalities. 335) A) y ? -2 B) x ? -2 C) x ? -2 D) y ? -2 336) A) x ? 2 B) x ? 2 C) y ? 2 D) y ? 2 Graph.
Find the matrix product when possible. 423) A) B) C) D) 424) A) B) C) D) 425) A) B) C) D) 426) A) B) C) D) They cannot be multiplied. 427) A) They cannot be multiplied. B) C) D) .
Solve the problem. 297) The sum of the squares of the digits of a positive two -digit number is 13, and the units digit is 1 more than the tens digit. Find the number. A) 32 B) 43 C) 34 D) 23 298) A rectangular plot has area 126 yd2 with a perimeter of 46 yd..
Graph the inequality. 315) x - y < -2 316) x ? -4 317) x ? 6 318) y ? -1 319) y ? -2 .
Solve the problem. 292) Find the dimensions of a rectangular enclosure with perimeter 40 yd and area 91 yd2. A) 13 yd by 7 yd B) 14 yd by 6 yd C) 16 yd by 7 yd D) 15 yd by 6 yd 293) The sum of the squares of the digits of a positive two.
Solve each problem. 442) Le Boulangerie, a bakery, sells four main items: sweet rolls, bread, cakes, and pies. The amount of each ingredient (in cups, except for eggs) required for these items is given by matrix A. Suppose a day?s orders consist of 20 dozen sweet rolls, 200 loaves of bread, 50.
Give all solutions of the nonlinear system of equations, including those with nonreal complex components. 268) x2+ y2= 36 x2- y2= 36 A) {(6, 0)} B) {(0, -6)} C) {(6, 0), (-6, 0)} D) {(0, 6), (0, -6)} 269) x2- 3y2= 1 4x2+ 3y2= 19 A) {(2, 1), (-2, -1)} B) {(-1, 2), (1, -2)} C) {(2, 1), (2, -1), (-2,.
Graph the solution set of the system of inequalities. 345) 2x + 3y ? 6 x - y ? 3 y ? 2 346) y - x ? 5 x + y ? 3 y - 3x ? -1 347) y ? -x2- 6x - 4 y ? x2+ 6x + 4 348) y ? - x2- 6x -.
The graph shows the region of feasible solutions. Find the maximum or minimum value, as specified, of the objective function. 375) objective function = 4x + 3y; maximum A) 13 B) 100 C) 29 D) 27 376) objective function = 7x + 3y; minimum A) 36 B) 0 C) 24 D) 16 Solve the linear programming problem. 377) The Acme Class Ring.
Find the matrix product when possible. 428) A) B) [54] C) [-10 0 -18] D) [-28] 429) A) B) [-64 58] C) D) 430) A) B) C) D) 431) A) B) C) D) 432) A) B) C) D) .
Give all solutions of the nonlinear system of equations, including those with nonreal complex components. 278) y = |x| 4x - y = -15 A) (-3, 3), - 5, 5 B) - 5, 5 C) (-3, 3), - 5, - 5 D) {(-3, 3)} 279) x2+ xy + y2= 19 x + y = 2 A) {(-3, 5)} B) {(5,.
Use a graphing calculator to solve the nonlinear system. Give x - and y-coordinates to the nearest hundredth. 283) y = log(x +7) y = x3 A) {(-1.83, 1.64), (1.68, 2.16)} B) {(-2.50, 1.49)} C) {(2.07, 0.69)} D) {(0.97, 0.90)} 284) y = e2x+3 2x + y = 3 A) {(0.75, -4.50)} B) {(-0.75, 4.50)} C) {(-0.75, -4.50)} D) {(0.75, 4.50)} 285) x2+.
Give all solutions of the nonlinear system of equations, including those with nonreal complex components. 273) y = x2- 8x + 16 x + y = 4 A) {(-3, 7), (-4, 8)} B) {(3, 7), (4, 0)} C) {(3, 1), (4, 0)} D) {(4, 0)} 274) 2x2- 3y2= 38 3x2+ 5y2= 95 A) {(5, 2), (2, 5), (-5, -2),.
Give all solutions of the nonlinear system of equations, including those with nonreal complex components. 263) x2+ y2= 1 x + y = 1 A) {(1, 0), (0, -1)} B) {(1, 0), (0, 1)} C) {(-1, 0), (0, 1)} D) {(-1, 0), (0, -1)} 264) x2+ y2= 25 x - y = 1 A) {(-4, -3), (-3, -4)} B) {(4,.
Find the values of the variables for which the statement is true, if possible. 389) A) x = 5; y = 5; z = 3 B) x = -3; y = -5; z = -5 C) x = 3; y = 5; z = 5 D) x = -3; y = 5; z =.
Graph the solution set of the system of inequalities. 360) y ? log x y ? ?x - 5? Use the shading capabilities of your graphing calculator to graph the inequality or system of inequalities. 361) y ? x2- 4 362) y ? x2+ 5 363) y ? 3 y ? 2x 364) y ? |x + 6| y.
Provide an appropriate response. 447) Describe the elements of a 3 × 3 zero matrix. A) Every element of the matrix is zero. B) The matrix has ones on the main diagonal, and all other elements are zeros. C) The matrix has zeros on the main diagonal, and there are no restrictions on the.
Determine the system of inequalities illustrated in the graph. Write inequalities in standard form. 370) A) x2+ y2? 16 y ? 0 B) x2+ y2? 16 x ? 0 C) x2+ y2? 16 x ? 0 D) x2+ y2? 16 x ? 0 371) A) x ? -2 x2+ y ? 4 B) y ? -2 x2+ y ? 4 C) y ? -2 x2+ y.
Solve the linear programming problem. 380) An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and.
Solve each problem. 437) Momma?s ice cream shop sells three types of ice cream: soft-serve, chunky, and nonfat. Location I sells 27 gal of soft-serve, 100 gal of chunky, and 30 gal of nonfat ice cream each day. Location II sells 15 gal of soft-serve and Location III sells 60 gal.
Provide an appropriate response. 384) You are graphing 2x2+ 3y2> 5. You have drawn the graph of 2x2+ 3y2= 5. What single point will allow you to determine the correct region? A) (3, 5) B) The origin C) (2, 3) D) (2, 385) Which one of the following is a description of the graph of the.
Solve the system by elimination. 21) A) B) ? C) D) Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary. 22) 8x - 10y = 1 -16x + 20y =1 A) ? B) C) D) 23) 2x + 8y = 7 4x + 16y = 5 A) B) C) {(0,.
Find the partial fraction decomposition for the rational expression. 253) A) B) C) D) 254) A) B) C) D) 255) A) B) C) D) 256) A) B) C) D) 257) A) B) C) D) .
Solve the problem. 433) Given , find A2. A) B) C) D) 434) Given , find A3. A) B) C) D) 435) Given and , find AB and BA. A) B) C) D) 436) Given , find AB and BA. A) B) C) D) .
Find the partial fraction decomposition for the rational expression. 248) A) B) C) D) 249) A) B) C) D) 250) A) B) C) D) 251) A) B) C) D) 252) A) B) C) D) .
Find the dimension of the matrix. 399) A) 3 × 2 B) 2 × 3 C) 6 D) 4, 9, -3, 1, 8, -8 400) [2 -7 -4] A) 3 × 1 B) 3 C) 2, -7, -4 D) 1 × 3 401) A) 2 × 2 B) 4 C) 7 × 7 D) 7 402) A) 9 B) 8 C) 3 × 0 D) 3 ×.
Use a graphing calculator to solve the nonlinear system. Give x - and y-coordinates to the nearest hundredth. 288) y = log(x +8) y = x2 A) {(-0.92, 0.85), (0.98, 0.95)} B) {(-1.38, 1.89), (1.50, 2.25)} C) {(-0.92, -0.85), (0.98, -0.95)} D) {(-1.38, -1.89), (1.50, -2.25)} 289) x2- y2= 7.82 x = 2y - 5 A) {(-2.97, 1.01), (6.31,.
Graph the inequality. 320) y ? 3x - x2 321) (x - 4)2 + (y + 3) 2 ? 16 322) x2+ (y + 3)2 ? 16 323) y ? -6x2- 3 324) y ? 3(x2- 1) – 1 .
