Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 169277: 30x^3 - 20x^2 = 10x
Click here to see answer by checkley77(12844) About Me 

Question 169350: During the first part of a trip, a canoeist travels 90 miles at a certain speed. The canoeist travels 16 miles on the second part or the trip at a speed 5 mph slower. The total time for the trip is 5 hours. What is the speed on each part of the trip?

Click here to see answer by scott8148(6628) About Me 

Question 169497: 5t^-10t=0 solve by factoring
Click here to see answer by checkley77(12844) About Me 

Question 169501: 5t^-10t=0 solve by factoring
Click here to see answer by checkley77(12844) About Me 

Question 169523: A sample of oxygen gas has a volume of 81.0 mL at a temperature of 100°C and a pressure of 590 Torr. What is its pressure if the temperature is raised to 320°C and its volume is decreased to 32.0 mL?
____Torr

Click here to see answer by jojo14344(1513) About Me 

Question 169642: When solving this equation i am lost on the last step.Use the quadratic formula to solve the equation; m%5E2-12=m.I have used the problem solver but it doesn't show the math involved between the last two steps. Please help I am in a distance course and do not have access to an instructor.
Click here to see answer by Alan3354(69443) About Me 

Question 169644: 3x%5E2=-12x-1 solve using the quadratic formula. I can do the first few steps. I am completely lost on the math involved between the last two steps.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 169644: 3x%5E2=-12x-1 solve using the quadratic formula. I can do the first few steps. I am completely lost on the math involved between the last two steps.
Click here to see answer by Alan3354(69443) About Me 

Question 169672: Hi, Here is my problem
Nancy walks 15 m diagonally across a rectangular field. She then returns to her starting position along the outside of the field. The total distance she walks is 36m. What are the dimensions of the field.
I have a good understanding of how to solve quadratic equations, but the word problems really confuse me. I made a diagram and used the pythagorean theorem to identify an equation, but it didn't factor in the end...Please help, if you could walk me through the steps that would be great
thanks

Click here to see answer by Mathtut(3670) About Me 
Question 169672: Hi, Here is my problem
Nancy walks 15 m diagonally across a rectangular field. She then returns to her starting position along the outside of the field. The total distance she walks is 36m. What are the dimensions of the field.
I have a good understanding of how to solve quadratic equations, but the word problems really confuse me. I made a diagram and used the pythagorean theorem to identify an equation, but it didn't factor in the end...Please help, if you could walk me through the steps that would be great
thanks

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

Question 169691: Find the minimum or maximum value of the quadratic function g(x)=2x^2+6x+3
Click here to see answer by scott8148(6628) About Me 

Question 169606: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of carboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corners?
Click here to see answer by scott8148(6628) About Me 

Question 169705: This is one main word problem/question broken down into several questions. Post a response to the following: How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate’s with one or two solutions with which they must create a quadratic equation.
Click here to see answer by solver91311(24713) About Me 

Question 169547: how to solve factoring method following equation
3x(x-2)=x(x+3)

Click here to see answer by checkley77(12844) About Me 

Question 169618: During the first part of a trip, a canoeist travels 37 miles at a certain speed. The canoeist travels 7 miles on the second part or the trip at a speed 5 mph slower. The total time for the trip is 4 hours. What is the speed on each part of the trip?
Click here to see answer by solver91311(24713) About Me 

Question 169848: Suppose a rock is dropped from a height of 100m on Mars and also on Venus.
On Mars .g=3.7 m/s2 and Venus,g = 8.9m/s2.How long does it take the rock to fall to a Height of 25 m on each Planet

Click here to see answer by Alan3354(69443) About Me 

Question 169875: a quadratic graph has minimum point (-1,2). find the equation of the graph
Click here to see answer by nerdybill(7384) About Me 

Question 169480: We are working on quadratic equations and I have no idea how to solve this. Here is the question: A rectangle has a perimiter of 52 feet and an area of 153 square feet. Find the dimensions fo the rectangle. I have tried to plug in the 2w+2L = 52. I factored out the 2 and divided it on both sides to get w=24-L. I tried to plug this in also. No luck. Please help me with a formula to solve.
Thanks
Shonnie

Click here to see answer by chiefman(11) About Me 

Question 169891: I need help solving this problem, please show me how you work this problem out... Thank you Happy Thanksgiving
Solve equation using the quadratic formula
4m^2 - 8m + 1 = 0

Click here to see answer by nerdybill(7384) About Me 

Question 169895: Please help show me how to work this problem out..Thank you...
solve equation using the quadratic formula
1/3x^2 + 2/9x - 1 = 0

Click here to see answer by stanbon(75887) About Me 
Question 169895: Please help show me how to work this problem out..Thank you...
solve equation using the quadratic formula
1/3x^2 + 2/9x - 1 = 0

Click here to see answer by Alan3354(69443) About Me 
Question 169895: Please help show me how to work this problem out..Thank you...
solve equation using the quadratic formula
1/3x^2 + 2/9x - 1 = 0

Click here to see answer by Earlsdon(6294) About Me 
Question 169895: Please help show me how to work this problem out..Thank you...
solve equation using the quadratic formula
1/3x^2 + 2/9x - 1 = 0

Click here to see answer by gonzo(654) About Me 

Question 169893: Please help me with this problem and please show me how to solve it. Thank you
Solve equation using the quadratic formula
5z^2 = 2z + 3

Click here to see answer by nerdybill(7384) About Me 

Question 169894: Please help me .. Can u please show me the steps to getting this problem worked out??? Thank you!!!
Solve equation using thequadratic formula
27x^2 + 36x + 12 = 0

Click here to see answer by Alan3354(69443) About Me 

Question 169892: Please show me the steps to doing this problem...I can't figure this one out
Solve equation using the quadratic formula
4x^2 =2x + 1
Thank you very much

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

Question 169897: g(x)= x^3+4 what is the max number of zeros it can have and the max numberof turns
Click here to see answer by SAT Math Tutor(36) About Me 

Question 169520: What is the temperature, in K, of 30.0 g of N2 gas at 2.25 atm, contained in a 550 mL vessel? (VII-1)
____K

Click here to see answer by jojo14344(1513) About Me 

Question 169907: pleaseplease help with this question....i submitted this last night but had a few typos. ^2 means squared. i've tried putting these numbers into the quadratic formula but am having problems with coming up with a trinomial to start from
When an object is released and falls freely, its height, h meters, above the ground after t seconds is represented by the relation h = -0.5t^2g+d, where g is the acceleration due to gravity and d is the initial height of the object before it is released. Since the strength of gravity varies from planet tp planet, the value of g is specific to each planet. Supposed a rock is dropped from a height of 100m on Mars and also Venus. On Mars, g=3.7m/s^2 and on Venus, g=8.9m/s^2. How long does it take the rock to fall to a height of 25m on each planet.

Click here to see answer by Alan3354(69443) About Me 

Question 169908: (((75=(3.7t^2)/2}}} im not sure what this is supposed to mean...a tutor used it in one of my questions...ive been looking around the sight but it says the expression is unknown... ?
Click here to see answer by stanbon(75887) About Me 

Question 169929: Solve the quadratic equation by completing the square:
3x^2+6x-4=0

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

Question 169930: I can't seem to finish this problem :( Can someone plese help me so I can see what I am doing wrong??
Solve for x: (4/x^2-1)=(2/x-1)-(3/x+1)

Click here to see answer by Alan3354(69443) About Me 

Question 169926: Two pipes drain a waste holding tank in 8.00h. If used alone to empty the tank, one takes two hours longer than the other. How long does each take to empty the tank if used alone.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 169928: Perform the indicated operation:
a) ((x^2+x-2)/x )/ (x+2)/x^2
b) (1/x-3)+((x-1)/(x^2+3x+9))+(x^2+x-3)/(x^3-27)

Click here to see answer by maali40(13) About Me 

Question 169925: With an 18km/h tail wind a crow flies to a pond in 18 minutes. Find the crow's speed ( still in the air) if the return trip, with the head wind requires 46 minutes.
Click here to see answer by Alan3354(69443) About Me 

Question 169949: This is a word problem on a worksheet that I've been given.
Katy likes to catch butterflies. The equation b = -2(x-4)^2 + 25 models this habit, where b is the number of butterflies caught for the hour and x is the number of hours after she started catching. After how many hours will Katy catch the maximum amount?
I am stumped on this question. I don't even know where to start...
Please help, thanks.


I also have some questions on a form of quadratic function. I've only done quadratic functions that are in the form y= ax^2 + bx + c. So I'm not quite sure on these 3 multiple choice questions.

Here is the information:
One form of a quadratic function is f(x) = a(x-b)^2 + c.

Here are the questions:
1. If you wanted to shift the graph of the function up, what would you do?
A. increase a
B. decrease b
C. increase c
D. decrease a
2. If you wanted to shift the graph of the function left what would you do?
A. increase b
B. decrease b
C. increase c
D. decrease a
3. If you wanted to make the parabola wider, what would you do?
A. increase a
B. decrease b
C. increase c
D. decrease a
***Note:
For question 1 I chose letter c.
For question 2 I chose letter a.
For question 3 I chose letter d.

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

Question 169984: Can you please show me how to solve this problem using the Square Root Porperty
x^2 + 5 = 13

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

Question 169983: Can you please show me how to work this equation out using the quadratic formula.
w^2 - 5w + 5 = 0
Thank you very much

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

Question 169986: Can you please help show me how to solve this quadratic equation by completing the square
w^2 - 5w = 14

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

Question 169987: Can you please show me how to work this quadratic equation by completing the square
x^2 + 4x - 12 = 0

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

Question 169989: Can you please show me how to work this quadratic equation by completing the square
a^2 - 4a + 5 = 0

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

Question 169982: Can you please show me how to work this problem out, I am having trouble w / it.
Solve the equation using the quadratic formula
1 = 3q^2 + 4q
Thank you so very much

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

Question 169604: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by midwood_trail(310) About Me 

Question 170019: please help me solve this eqation 2x^2+11+5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 169481: During the first part of a trip, a canoeist travels 37 miles at a certain speed. The canoeist travels 7 miles on the second part or the trip at a speed 5 mph slower. The total time for the trip is 4 hours. What is the speed on each part of the trip?
Click here to see answer by ankor@dixie-net.com(22740) 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, 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, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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