Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 132828: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?

Click here to see answer by checkley71(8403)

Question 132850: Rewrite the expression x^3-2x^2y+xy^2 so that it is easy to calculate the its value without a calculator when x=21 and y=19.
Click here to see answer by jim_thompson5910(28555)

Question 132853: What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.

Click here to see answer by stanbon(57307)

Question 132847: 3. The speed of sound in air is 1100 feet per second. The speed of sound in steel is 16500 per second. Robin, one ear pressed against the railroad track, hears a sound through the rail six seconds before hearing the same sound through the air. To the nearest foot, how far away is the source of that sound?
Click here to see answer by stanbon(57307)

Question 132874: Solve : 3(2^(2x)) - 2^(x+2) +1=0
I am having real trouble with this one , I hope someone can help me:)
Click here to see answer by stanbon(57307)

Question 132826: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

Click here to see answer by scott8148(6628)

Question 132911: Please help me solve these equations: .
.
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Question 132906: While I can solve basic quadratic equations I am having problems figuring out how to solve the equations where you complete the square when ax^2+bx+c is equal to a number other than 0. For example:
-2.2x^2-7.4x+0.7=0.8

Click here to see answer by edjones(7569)

Question 132889: Given a=x(^1/2)- 4x(^-1/2). What is the value of 1/a^-2??? I think the answer is x^2-8x+16/x , can someone please confirm ????
Click here to see answer by edjones(7569)

Question 132946: Determine whether the following equations have a solution or not? Justify your answer.
(7)1/2y2 - 6y - 13(7)1/2 = 0 Please help with this difficult question.
Click here to see answer by stanbon(57307)

Question 132944: Solve the following Quadratic equation
4x+x(x-3)=5 Please help me figure this ine out.
Click here to see answer by solver91311(16877)

Question 132985: 5. Solve using the quadratic formula:
x^2 – 3x = 4x – 1

Click here to see answer by jim_thompson5910(28555)

Question 132984: 6. Solve using the quadratic formula:
x^2 – 5x – 1 = -7

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Question 132899: A group of people want to share equally the cost of a $200,000 airplane. They want to find 5 more people to join their club so that the cost per person decreases by $2000. How many people are currently in the club?
Click here to see answer by checkley71(8403)

Question 132877: In 1990, Michael's college tuition was $1500. In 1995, tuition at the same college cost $3200. Assuming that an exponential model applies, how much will tuition cost in 2009?? I think the answer is $6837 ????????
Click here to see answer by checkley71(8403)

Question 132849: Robin is mowing a rectangular field that measures 24 yards by 32 yards, by pushing the mower around and around the outside of the plot. This creates a widening border that surrounds the unmowed grass in the center. During a brief rest, Robin wonders whether the job is half done yet. How wide is the uniform mowed border when Robin is half done?
Click here to see answer by checkley71(8403)

Question 132848: Sam is a guest on the TV show Math Jeopardy, and has just chosen the $300 question in the category "Quadratic Equations." The answer is "The solutions are x=3 and x=-2." What question could Sam ask that would win the $300? Is there more than one possible correct question? Explain.
Click here to see answer by checkley71(8403)

Question 132996: In a right triangle, find the length of the side not given.
One side is a; one side = 2 and the other side is sqrt (13);
What is the length of side a;
Click here to see answer by solver91311(16877)

Question 133001: Write a quadratic equation in the variable "x" having the given numbers as solutions. Type the equation in standard, ax^2 + bx + c = 0.
Solution: 8, only solution
I am having trouble backing into the equation. Can someone help explain to me.
Thank you.
Click here to see answer by solver91311(16877)

Question 133011: Hi.
Please help. I am lost-my mind is swimming with all the steps and I got lost twice-I need HELP!
The problem is: State the value of the discriminant and the number of real solutions. t^2+14t+49=0
Thank You.
Click here to see answer by jim_thompson5910(28555)

Question 132998: Television sets: What does it mean to refer to a 20-in TV set or a 25-in TV set? A 15-in TV set also has a width of 12-inches. What is its height?
I am stumped on how to set up the problem into an equation. Can someone help me?
Click here to see answer by stanbon(57307)

Question 132854: A rectangle has an area of 36 square meters. Its length is 2square-root of 3 meters. In exact form, what is the permieter of the rectangle?
A right triangle has a 24-cm perimeter, and its hypotenuse is twice as long as its shoter leg. To the nearest tenth of a cm, fnd the lengths of all three sides of this triangle.
Click here to see answer by nycsharkman(136)

Question 132825: I have to match each graph with the correct equation could you gave me a example of how to do this my email address is slimshadey10@aol.com
Click here to see answer by nycsharkman(136)

Question 133083: How can I Solve 25(2x+1)^2/9=0 ?
Click here to see answer by jim_thompson5910(28555)

Question 133084: How do you determine the min or max of -3x^2+24x?
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Question 133084: How do you determine the min or max of -3x^2+24x?
Click here to see answer by vleith(2825)

Question 133088: solve by completing the square 2m^2-m-15=0?
Click here to see answer by jim_thompson5910(28555)

Question 133089: Find the vertex and intercepts for h(x)= -x^2-2x+8 and sketch the graph?
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Question 132855: Find a quadratic equation of the form ax^2+bx+c=0 whose solutons are x=4+ or - square root of 11
Click here to see answer by Edwin McCravy(8908)

Question 132814: Evaluate (-2x)2 and -2x 2 when x = 3
Both of the second 2's in each problem is one of those little numbers which i believe mean to the 2nd power??
Click here to see answer by nycsharkman(136)

Question 133126: 1. Solve by factoring:
x^2 – 6x = -8

Click here to see answer by cngriffith(27)

Question 133154: Solve for x algebraically: 5^(2x)- 4(5)^x=-3
Click here to see answer by stanbon(57307)

Question 133101: Solve.

5x^2 = 15 Also, find the x-intercepts of f(x) = 5x^2 - 15
Thank you in advance for any help you can give me.
Click here to see answer by checkley71(8403)

Question 133135: The height h (in feet) above the ground of a baseball depends upon the time t (in seconds) it has been in flight. Cameron takes a mighty swing, but hits a bloop sinlge whose height is described approximately by the equation h=80t-16t^2. Ho long is the ball in the air? The ball reaches its maximum heght after how many seconds of light? What is the maximum height? How much time does it take for the ball to reach a hieght of 60 feet? On its way back down, the ball is again 60 feet above the ground; what is the value of t when this happens?
Click here to see answer by ankor@dixie-net.com(15649)

Question 133153: Solve for x: 9^(2x-1)= (81^(x+1))(27^-x)
Click here to see answer by Nate(3500)

Question 133184: If a pro-basketball player has a vertical leap of about 30 inches, what is his hang time? Use the hang time function? V = 48T^2
I come up with 5 seconds, would that be correct?
Click here to see answer by vleith(2825)

Question 133182: Solve.
x^2 + 6x -4 = 0
Here's what I think is the answer. Can someone tell me if I'm on the right track?
(-6 + sqrt (52)/2) (-6 - sqrt ( 52 )/2)
Click here to see answer by vleith(2825)

Question 132846: To accommodate the road beneath, the arch is 100 feet wide at its base, 20 feet high in the center, and parabolic in shape.
-The arch can be described by y=kx(x-100), if the origin is placed at the left end of the arch. Find the value of the coefficient k that makes the equation fit the arch.
-Is it possible to move a rectangular object that is 40 feet wide and 16.5 feet high (a wide trailer, for example) through the opening? Explain.
Click here to see answer by scott8148(6628)

Question 133133: To accommodate the road beneath, the arch is 100 feet wide at its base, 20 feet high in the center, and parabolic in shape. The arch can be described y y=kx(x-100), if the origin is placed at the left end of the arch. Find the value of the coefficient k that makes the equation fit the arch. Is it possible to move a rectangular object that is 40 feet wide and 16.5 feet high (a wide trailer, for example) through the opening? Explain
Click here to see answer by scott8148(6628)

Question 133262: Find the constant that must be added to each binomial expression to form a perfect-square trinomial.
x^2 +18x
Click here to see answer by vleith(2825)

Question 133262: Find the constant that must be added to each binomial expression to form a perfect-square trinomial.
x^2 +18x
Click here to see answer by stanbon(57307)

Question 133273: solve equation by completing the square
x^2 + 10x + 13 = 0
Click here to see answer by jim_thompson5910(28555)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250