Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 325467: how do i solve this rational equation?
3x/(x-4) + x/(x+4) = 24/(x^2-16)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 325459: Write a quadratic equation with the only solution of 2.
Click here to see answer by Alan3354(69443) About Me 

Question 325540: Please help me solve y^3 - 7y^3/2 -8= 0
Click here to see answer by Fombitz(32388) About Me 

Question 325572: A boat went 10km upstream against the current then turned around and went 15km downstream with current. The current speed was 3km/hour and upstream trip took 30 minutes longer. What was the speed of the boat without the speed of the current?
Click here to see answer by mananth(16946) About Me 

Question 325620: The path of a ball projected in the air can be represented by the equation h=-16t^2+64t where h represents height, and t represents time. At what times is the ball 48 feet high?
a.)-1 second and -3 seconds
b.)1 second and 3 seconds
c.)1 second and 4 sesconds
d.)1 second and 2 seconds

Click here to see answer by AAfter Search(61) About Me 
Question 325620: The path of a ball projected in the air can be represented by the equation h=-16t^2+64t where h represents height, and t represents time. At what times is the ball 48 feet high?
a.)-1 second and -3 seconds
b.)1 second and 3 seconds
c.)1 second and 4 sesconds
d.)1 second and 2 seconds

Click here to see answer by juicystarr17(1) About Me 

Question 325626: what number is used to complete the sqaure for the equation x^2=20x
a.)-100
b.)-10
c.)10
d.)100

Click here to see answer by AAfter Search(61) About Me 
Question 325626: what number is used to complete the sqaure for the equation x^2=20x
a.)-100
b.)-10
c.)10
d.)100

Click here to see answer by JBarnum(2146) About Me 

Question 325777: What are the x intercepts of y + 12 = x2 + x?
Click here to see answer by nyc_function(2741) About Me 

Question 325821: Find the vertex of the parabola formed by the following quadratic function: y = -x2 – 4x – 9
Click here to see answer by solver91311(24713) About Me 

Question 325849: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equations in standard form, ax^2+bx+c=0.
Solution: 1, only solution. The equation is what =0?
Solution: 10, only solution. The equation is what =0?
-sqrt(6),6sqrt(6). The equation is what =0?

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Question 325846: Write a quadratic equation having the given numbers as solutions: -11 and -9. The quadratic equation is what =0?
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Question 325792: Could you help me please? If a pro basketball player has a vertical leap of about 20 inches, what is his hang time? Use the hang-time function V=48T^2. His hang time is how many seconds? Need to simplify answer and use a integer or a decimal rounded to the nearest tenth. Thank you.
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Question 325806: The flower garden has the shape of a right traingle. 51 ft. of a perennial border forms the hypotenuse of the traingle, and one leg is 21 ft. longer than the other leg. Find the lengths of the legs. What are the lengths of the legs in ft?
Click here to see answer by checkley77(12844) About Me 

Question 325887: . Four research participants take a test of manual dexterity (high scores mean better dexterity) and an anxiety test (high scores mean more anxiety). The scores are as follows.

Person Dexterity Anxiety
1 1 10
2 1 8
3 2 4
4 4 -2

Click here to see answer by stanbon(75887) About Me 

Question 325884: Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and waking—even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights on and off as
they wished. After a month in the room, each individual tended to develop a
steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23,
24, 25, 26, and 25. Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?) (a) Use the steps of hypothesis testing. (b) Sketch the distributions involved. (c) Explain your answer to someone who has never taken a course in statistics.

Click here to see answer by stanbon(75887) About Me 

Question 325958: Give an example of a quadratic equation with exactly one real solution
Click here to see answer by Edwin McCravy(20054) About Me 
Question 325958: Give an example of a quadratic equation with exactly one real solution
Click here to see answer by solver91311(24713) About Me 

Question 326122: Two airplanes are leaving O'Hare at the same time, on bound for New york and the other for california. The one heading to California has a tail wind and is thus going 25MPH faster than the one headed for New York. If after one hour they are 575 miles apart, what are their speeds?
Click here to see answer by solver91311(24713) About Me 

Question 326123: How many ounces of pure gold must be added to five ounces of something that is 1% gold in order that the mixture is 6% gold?

Click here to see answer by Fombitz(32388) About Me 

Question 326178: Write each statement using mathematical symbols
n is the product of the difference between n squared and seven, and n cubed

ten less than the quotient of n and the difference between n and six

Click here to see answer by stanbon(75887) About Me 

Question 326202: The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is 7 cm shorter than the longer leg. Fin the length of the longer leg of the triangle
Click here to see answer by solver91311(24713) About Me 

Question 326227: Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like the best? Why? What circumstances would cause you to use a different method?
Click here to see answer by solver91311(24713) About Me 

Question 326245: how would you write an quadratic equation if the answer is -6 and 6
Click here to see answer by stanbon(75887) About Me 

Question 326247: Determine what type of solutions the quadratic equation x˛+ 3x – 7 = 0 offers.
Click here to see answer by solver91311(24713) About Me 

Question 326283: 6x^2-4x+15 = 0
Click here to see answer by nyc_function(2741) About Me 

Question 326200: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 4 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 2 ft less than the length of the ladder?
Click here to see answer by Fombitz(32388) About Me 

Question 326355: how would you write a quadratic equation if the answer is

x = -4i

x = 4i

Click here to see answer by Fombitz(32388) About Me 

Question 326354: how would you write a quadratic equation if the answer is x=2 and x=-2
Click here to see answer by Fombitz(32388) About Me 

Question 326409: Determine the number of solutions of x2 - 5x + 40 = 0.
Click here to see answer by Fombitz(32388) About Me 

Question 326438: Complete the square x^2-20x=50. Not that brilliant when it comes to completing the square problems, None of the steps to do it makes any sense. Asking for it in a (x+y)^2 form i think.
Click here to see answer by Fombitz(32388) About Me 

Question 326433: r^2-9=0
how would you slove this?

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Question 326513: I need to create a quadratic equation that has solutions of x=6 and x=3. I'll provide what I have so far but it is still not coming out correctly. Could you please help? I have: x-6=0 and x-3=0, (x-6)(x-3)=0, x^2-6x-3x+18=0, x^2-3x+18=0. Please advise. Thank you.
Click here to see answer by solver91311(24713) About Me 

Question 326541: What are the major underlying assumptions of the biopsychological approach? What effect do these assumptions have on the field?
Click here to see answer by solver91311(24713) About Me 

Question 326590: Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).
Tickets=02.x^2+12+11
a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by solver91311(24713) About Me 

Question 326640: A golf ball is hit from the ground with an initial velocity of 208 feet per second. How long will it take the golf ball to hit the ground?
Click here to see answer by Alan3354(69443) About Me 

Question 326538: factor 2x^4y^4 + x^6u^8y^6
Click here to see answer by Fombitz(32388) About Me 

Question 326850: if the roots of a quadratic equation are (-3/2) and (4/5), find one possible equation
Click here to see answer by Fombitz(32388) About Me 

Question 326961: Provide your classmates with a quadratic equation to solve. Ask them which method should be used and why?
x^2+4x-4=0

Click here to see answer by stanbon(75887) About Me 

Question 326981: slove using the quadratic formula 6x˛ - 7x + 4 = 0
Click here to see answer by mananth(16946) About Me 

Question 326971: use the quadratic formula to solve the equation 3x˛ = 15
Click here to see answer by Fombitz(32388) About Me 

Question 326972: Use the quadratic formula to slove the equation 4k˛+ 8k - 6 = 0
Click here to see answer by Fombitz(32388) About Me 

Question 326938: what is the quadratic equation for the following? solve
x^2-x= -3

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Question 327046: I need to setup a quadratic expression and work it for this word problem. Could someone help me.
You have two rooms that are 12 x 24 that need wood flooring. Each box of wood flooring has 22.7 square ft in them. How many boxes would you have to have to finish both floors?

Click here to see answer by Theo(13342) About Me 

Question 326913: Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?
Click here to see answer by Fombitz(32388) About Me 

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, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240