document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604386>Question 604386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the type of equation 0 = 3x2 + y2 – 12x – 30y + 181.<BR>\n" );
document.write( "parabola<BR>\n" );
document.write( "circle<BR>\n" );
document.write( "ellipse<BR>\n" );
document.write( "hyperbola\r<BR>\n" );
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document.write( "Solve the following system of equations.<BR>\n" );
document.write( "x2 + y2 = 9<BR>\n" );
document.write( "x2 – 3y = 9<BR>\n" );
document.write( " (–3, 9)<BR>\n" );
document.write( "(–3, 9), (–3, 0)<BR>\n" );
document.write( "(–3, 0), (0, –3), (3, 0)<BR>\n" );
document.write( "(–3, 0), (3, 0), (–3, 9), (3, 9)\r<BR>\n" );
document.write( "\n" );
document.write( "Identify the number of possible real zeros of the function f(x) = x4 – 6x2 + 6.<BR>\n" );
document.write( "1<BR>\n" );
document.write( "2<BR>\n" );
document.write( "3<BR>\n" );
document.write( "4\r<BR>\n" );
document.write( "\n" );
document.write( "Given the function f(x) = x3 – 7x + 6 and one of its factors (x – 1), find all remaining factors.<BR>\n" );
document.write( "(x – 1)(x – 2)(x + 3)<BR>\n" );
document.write( "(x – 1)(x – 7)(x + 6)<BR>\n" );
document.write( "(x – 1)(x + 1)(x – 6)<BR>\n" );
document.write( "(x – 1)(x – 7)(x + 2)\r<BR>\n" );
document.write( "\n" );
document.write( "Identify all rational zeros of the polynomial function f(x) = 3x4 – 5x3 – 29x2 + 45x + 18.<BR>\n" );
document.write( "–6, –2/3, 6, 18<BR>\n" );
document.write( "–3, –1/3, 2, 3<BR>\n" );
document.write( "–2, 6<BR>\n" );
document.write( "1/3, 2/3\r<BR>\n" );
document.write( "\n" );
document.write( "Find f(g(2)) if f(x) = x2 + 3x and g(x) = 3 – x2.<BR>\n" );
document.write( "–2<BR>\n" );
document.write( "–7<BR>\n" );
document.write( "–97<BR>\n" );
document.write( "103\r<BR>\n" );
document.write( "\n" );
document.write( "If f(x) = x2 + 2, find f –1(3).<BR>\n" );
document.write( "11<BR>\n" );
document.write( "3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation.\r<BR>\n" );
document.write( "\n" );
document.write( "y = 0, x = 3, x = –2<BR>\n" );
document.write( "x = –2, y = 6<BR>\n" );
document.write( "x = –3, y = 0, x = 2<BR>\n" );
document.write( "y = 0, x = 6, x = 2\r<BR>\n" );
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document.write( "If y varies jointly as x and z, and y = 28 when x = 14 and z = 1, find the value of y when x = 7 and z = 4.<BR>\n" );
document.write( "7/4<BR>\n" );
document.write( "8<BR>\n" );
document.write( "14<BR>\n" );
document.write( "56\r<BR>\n" );
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document.write( "Simplify the following expression.\r<BR>\n" );
document.write( "\n" );
document.write( "1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve the following equation.\r<BR>\n" );
document.write( "\n" );
document.write( "–2, 5<BR>\n" );
document.write( "5, 3<BR>\n" );
document.write( "3, –2<BR>\n" );
document.write( "Ψ, no solution\r<BR>\n" );
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document.write( "Two pickup trucks have towing capacities in a ratio 5 to 4. The larger pickup truck can tow 800 lbs more than the smaller truck. What is the towing capacity of the larger truck?<BR>\n" );
document.write( "1,000 lbs<BR>\n" );
document.write( "2,400 lbs<BR>\n" );
document.write( "3,200 lbs<BR>\n" );
document.write( "4,000 lbs\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the equation 92x + 1 = 3x – 3.<BR>\n" );
document.write( "–4<BR>\n" );
document.write( "–5/3<BR>\n" );
document.write( "2/3<BR>\n" );
document.write( "3\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the equation log3 (3x + 4) = 1/3 log3 8.<BR>\n" );
document.write( "–2/3<BR>\n" );
document.write( "–4/9<BR>\n" );
document.write( "4/3<BR>\n" );
document.write( "2/3\r<BR>\n" );
document.write( "\n" );
document.write( "Find antilog 1.2, round your answer to the nearest hundredth.<BR>\n" );
document.write( "0.08<BR>\n" );
document.write( "0.18<BR>\n" );
document.write( "3.32<BR>\n" );
document.write( "15.85\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the equation ln (x + 2) = 3. Round your answer to the nearest hundredth.<BR>\n" );
document.write( "1.00<BR>\n" );
document.write( "18.09<BR>\n" );
document.write( "22.09<BR>\n" );
document.write( "998.00\r<BR>\n" );
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document.write( "Solve the equation 47x – 2 = 17x + 1. Round your answer to the nearest thousandth.<BR>\n" );
document.write( "0.489<BR>\n" );
document.write( "0.816<BR>\n" );
document.write( "1.386<BR>\n" );
document.write( "2.833\r<BR>\n" );
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document.write( "Find the 4 arithmetic means between the numbers 45 and 80.<BR>\n" );
document.write( "50, 55, 60, 65<BR>\n" );
document.write( "52, 57, 62, 67<BR>\n" );
document.write( "50, 57, 64, 71<BR>\n" );
document.write( "52, 59, 66, 73\r<BR>\n" );
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document.write( "Find the sum of the following arithmetic series.\r<BR>\n" );
document.write( "\n" );
document.write( "120<BR>\n" );
document.write( "120 ½<BR>\n" );
document.write( "124<BR>\n" );
document.write( "124 ½\r<BR>\n" );
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document.write( "Identify the twelfth term in the geometric sequence in which a1 = 10, r = 2.<BR>\n" );
document.write( "110<BR>\n" );
document.write( "1,280<BR>\n" );
document.write( "20,480<BR>\n" );
document.write( "5,242,940\r<BR>\n" );
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document.write( "Find the sum of the following geometric series.\r<BR>\n" );
document.write( "\n" );
document.write( "55,986<BR>\n" );
document.write( "19,530<BR>\n" );
document.write( "9,330<BR>\n" );
document.write( "3,905\r<BR>\n" );
document.write( "\n" );
document.write( "Find the sum of the infinite geometric series 100 + 90 + 81 + 72.9 + 65.61 . . .<BR>\n" );
document.write( "750<BR>\n" );
document.write( "12.456<BR>\n" );
document.write( "1000<BR>\n" );
document.write( "1245.0435\r<BR>\n" );
document.write( "\n" );
document.write( "Identify the binomial expansion of (x + 4y)4.<BR>\n" );
document.write( "x4 + 256y4<BR>\n" );
document.write( "x4 + 8x2y2 + 16y4<BR>\n" );
document.write( "x4 + 12x3y + 96xy3 + 256y4<BR>\n" );
document.write( "x4 + 16x3y + 96x2y2 + 256xy3 + 256y4\r<BR>\n" );
document.write( "\n" );
document.write( "Find the number of 7-digit phone numbers that can be formed if the first three digits come from the numbers 1 to 3 and the last four digits come from the numbers 1 to 9.<BR>\n" );
document.write( "5,040<BR>\n" );
document.write( "177,147<BR>\n" );
document.write( "362,886<BR>\n" );
document.write( "823,543\r<BR>\n" );
document.write( "\n" );
document.write( "Find the number of ways eight people can be seated in an eight-passenger van.<BR>\n" );
document.write( "8<BR>\n" );
document.write( "216<BR>\n" );
document.write( "40,320<BR>\n" );
document.write( "16,777,216\r<BR>\n" );
document.write( "\n" );
document.write( "Find the number of ways 4 bikes can be placed on a bike rack with 12 spots.<BR>\n" );
document.write( "24<BR>\n" );
document.write( "495<BR>\n" );
document.write( "11,880<BR>\n" );
document.write( "479,001,600\r<BR>\n" );
document.write( "\n" );
document.write( "A meal at a certain restaurant consists of 3 entrιes chosen from group of 15 possible entrιes. Find the number of possible meal combinations.<BR>\n" );
document.write( "6<BR>\n" );
document.write( "455<BR>\n" );
document.write( "2,730<BR>\n" );
document.write( "217,945,728,000\r<BR>\n" );
document.write( "\n" );
document.write( "Find the probability of rolling a die three times and rolling a ’2’ each time.<BR>\n" );
document.write( "34/100<BR>\n" );
document.write( "139/2500<BR>\n" );
document.write( "1/216<BR>\n" );
document.write( "1667/1000\r<BR>\n" );
document.write( "\n" );
document.write( "If the Independent Party has lost 10 of the last 15 elections, find the odds against an Independent victory in the next election.<BR>\n" );
document.write( "1 to 2<BR>\n" );
document.write( "2 to 1<BR>\n" );
document.write( "1 to 3<BR>\n" );
document.write( "3 to 1\r<BR>\n" );
document.write( "\n" );
document.write( "Suppose that you are drawing cards from a set of 6 cards, the colors of which are red, blue, orange, yellow, pink, and green. What is the probability of drawing a red card followed by a blue card without replacement?<BR>\n" );
document.write( "1/3<BR>\n" );
document.write( "1/15<BR>\n" );
document.write( "1/30<BR>\n" );
document.write( "1/36\r<BR>\n" );
document.write( "\n" );
document.write( "Find the probability of drawing a spade or a face card from a standard deck of cards.<BR>\n" );
document.write( "11/26<BR>\n" );
document.write( "25/56<BR>\n" );
document.write( "22/56<BR>\n" );
document.write( "15/56\r<BR>\n" );
document.write( "\n" );
document.write( "For questions 37–39, use the data in the stem-and-leaf plot.\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "Determine which of following best describes 64.<BR>\n" );
document.write( "64 is the range of the data<BR>\n" );
document.write( "64 is the mode of the data<BR>\n" );
document.write( "64 is the mean of the data<BR>\n" );
document.write( "64 is the median of the data\r<BR>\n" );
document.write( "\n" );
document.write( "Find the quartiles of the data.<BR>\n" );
document.write( "61, 67, 78<BR>\n" );
document.write( "39, 64, 74.71<BR>\n" );
document.write( "12, 67, 93<BR>\n" );
document.write( "28, 65.45\r<BR>\n" );
document.write( "\n" );
document.write( "How many outliers do the data have?<BR>\n" );
document.write( "1<BR>\n" );
document.write( "2<BR>\n" );
document.write( "3<BR>\n" );
document.write( "none\r<BR>\n" );
document.write( "\n" );
document.write( "Find cot A, sec A, and csc A.\r<BR>\n" );
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document.write( "cot A = 4/3, sec A = 3/5, csc A = 4/5<BR>\n" );
document.write( "cot A = 3/4, sec A = 5/4, csc A = 5/3<BR>\n" );
document.write( "cot A = 3/4, sec A = 5/3, csc A = 5/4<BR>\n" );
document.write( "cot A = 4/3, sec A = 4/5, csc A = 3/5\r<BR>\n" );
document.write( "\n" );
document.write( "Which trigonometric function should be used to solve for x?\r<BR>\n" );
document.write( "\n" );
document.write( "sine<BR>\n" );
document.write( "cosine<BR>\n" );
document.write( "tangent<BR>\n" );
document.write( "cosecant\r<BR>\n" );
document.write( "\n" );
document.write( "Find the values of side c and angle B. Round to the nearest hundredth.\r<BR>\n" );
document.write( "\n" );
document.write( "c = 5.60, B = 45°<BR>\n" );
document.write( "c = 11.95, B = 49°<BR>\n" );
document.write( "c = 10.87, B = 195°<BR>\n" );
document.write( "c = 13.24, B = 65°\r<BR>\n" );
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document.write( "The pilot of a hot air balloon approaching a mountain peak measures that its altitude above sea level is 10,000 ft. If the mountain peak is 5 mi (26,400 ft) away and is 5,000 ft above sea level, what is the angle of depression from the balloon to the mountain peak? Round to the nearest hundredth degree.\r<BR>\n" );
document.write( "\n" );
document.write( "8.34°<BR>\n" );
document.write( "10.72°<BR>\n" );
document.write( "11.31°<BR>\n" );
document.write( "79.08°\r<BR>\n" );
document.write( "\n" );
document.write( "Find the measure of angles B and C using the law of sines. Round to the nearest hundredth.\r<BR>\n" );
document.write( "\n" );
document.write( "B = 100.27°, C = 42.73°<BR>\n" );
document.write( "B = 27.89°, C = 115.11°<BR>\n" );
document.write( "B = 84.88°, C = 58.12°<BR>\n" );
document.write( "B = 45.76°, C = 97.24°\r<BR>\n" );
document.write( "\n" );
document.write( "Using the law of cosines, find the angle measures of triangle with sides 55, 75, and 80. Round to the nearest degree.<BR>\n" );
document.write( "74°, 64°, 41°<BR>\n" );
document.write( "59°, 95°, 25°<BR>\n" );
document.write( "70°, 74°, 35°<BR>\n" );
document.write( "24°, 65°, 91° </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381151 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=381151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Read the instructions before posting. One question per post. </SPAN>\n" );
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