Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 91120: Hello, my question is this: The length of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and width) of the rectangle?
I started with a sketch of the problem and came up with the equation
x^2+(x+1)^2=4^2
x^2+x^2+2x+1=16
2x^2+2x-15=0
Now I don't know where to go from here Help me please!
Click here to see answer by vertciel(183)

Question 91230: The value 'V'(in dollars per acre) of a wheat crop 'd' days after planting is given by V=12d-0.5d^2 for 20
Click here to see answer by stanbon(57347)

Question 91123: Hello, I need help with this question. The equation is h=-16t^2+112t this makes an equation of the height of an arrow shot upward with a velocity of 112ft/s t=the time the arrow leaves the ground. What is the time it takes for an arrow to reach a height of 180.
I got 180=-16t^2+112t
But I don't know where to go from here I am so confused.
Click here to see answer by ankor@dixie-net.com(15652)

Question 91300: The height h in feet of an object after t seconds is given by the function
h = –16t2 + 40t + 5. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Click here to see answer by stanbon(57347)

Question 91326: Lisa is conducting an expeeriment of tossing two ordinary dice and adding the two numbes. Determine the probability of her obtaining:
a) A sum of 5
b) A sum greater than or equal to 8
c) A sum less than 6
Click here to see answer by stanbon(57347)

Question 91359: A few years ago Portland instituted a new area code of 971 so that more phone numbers could be assigned. How many seven-digit phone numbers can be formed using this area code if the only restriction is that the first number cannot be 0 or 1?
Click here to see answer by stanbon(57347)

Question 91374: Lisa recently discovered that if a person is randomly selected from Marshall community the odds in favorof the person being over 25 years of age are 9to11.
a) What is the probability of a randomly choosen person will be over 25?
b) What are the odds against the person being over 25?
Click here to see answer by stanbon(57347)

Question 91429: factoring a quadratic with leading coefficient greater than one
z^2+12z+20
Click here to see answer by jim_thompson5910(28595)

Question 91443: factoring a quadratic with leading coefficient greater than one
w^2-7w+12
Click here to see answer by checkley71(8403)

Question 91428: Find two consecutive positve integers such that the sum of thier square is 85.
Click here to see answer by checkley71(8403)

Question 91456: The length of a rectangle is 1 cm more than 5 times its width. If the area of the rectangle is 89 cm2, find the dimensions of the rectangle to the nearest thousandth. I don't understand where to even start.
Click here to see answer by checkley71(8403)

Question 91465: I ask the wrong question, sorry
factoring a quadratic with leading cofficient greater than one
2z^2-z-6
Thank you for the help, I would never get these with out this help
Click here to see answer by stanbon(57347)

Question 91474: factoring a quadratic with leading coefficient greater than one
thank you I need 3 question answer, please help I need them before time runs out
6y^2+y-12
thank you so very much
Click here to see answer by jim_thompson5910(28595)

Question 91496: Hello out there to everyone,I need some help with some problems,the first one is,Solve:2n(n+5)=0.The next one is,Find the amount of money in a bank account if the initial deposit is $4,000 with an annual rate of 2.5% for 5 years.The third one is,Use the quadratic formula to solve:5x^2+12=-6x.And the last one is,Use the quadratic formula to solve:-x^2+7x negative10 =0.Thanks to whoever can help.
Click here to see answer by stanbon(57347)

Question 91600: I been trying but i dont understand can u help me please.??.

Click here to see answer by praseenakos@yahoo.com(507)

Question 91628: Lori wants to know which outcome (a or b) is more likely to occur: Assume there is one winning ticket in the box. Justify your answer.
a.) Ob6taining a winning ticket by drawing once from a box of 15 tickets.
b) Obtaining a winning ticket both times by drawing twice with replacement from a box of 4 tickets?
Click here to see answer by stanbon(57347)

Question 91627: Jessica has entered 2 participants from her youth group in a siging contest. Also entered in the contest are: 7 students from St. Michales, 3 from Trinity, 3 from Beautiful Savior and 6 from St. John's. In how many ways can the competition finish if we only consider the congregation of those who entered?
Click here to see answer by stanbon(57347)

Question 91656: I am having problem,s with this problem

Solve equations for X
x^2+4x+4=7
Thank a million for the help
Click here to see answer by stanbon(57347)

Question 91655: I am having problem,s with this problem
Solve the following equation by factoring or by any of the techniques.
4x^2-8x+3=5
Thank a million for the help
Click here to see answer by stanbon(57347)

Question 91699: decide all values of b in the following equations that will give one or more real number solutions.

a. 3x^2+bx-3=0
b. 5x^2+bx+1=0
c. -3x^2+bx-3=0
d. Write a rule for judging if an equation has solutions by looking at it in standard form.
Click here to see answer by jim_thompson5910(28595)

Question 91684: As Gina was working in her new yard, she decided she needed a little more color. When she went to the garden center at Costco, she spotted 2 azalea, 1 rhododendron and 2 daphne that she liked. If an experiment consits of her choosing 2 of the above ploants,
a) What is the sample space of this experiment?
b) What is the probability of selecting two plants not of the same type?
Click here to see answer by stanbon(57347)

Question 91743: I am having problems with figuring this problem out and need some help
Number problem: Find two consecutive positive integers. Such that the sum of thier squares is 85.
Thank a million

Click here to see answer by Earlsdon(6287)

Question 91744: I am having some problems solving these problems
Use the quadratic formula to solve each of the quadratic equations
2x^2-5x=3
and also 3x^2-2x+1=0
Thank you
Click here to see answer by Earlsdon(6287)

Question 91654: I am having problems with these problems.
solve the following equations by factoring or by any of the techniques.

(x-1)^2=7 and also X^2-9x-4=6

Thanks a million

Click here to see answer by tutorcecilia(2152)

Question 91763: I am not that good with word problems and I am having problems solving this problem

A garden area is 30 ft long and 20 ft wide. A path of iniform width is set around the edge. If the remaining garden area is 400 ft^2, What is the width of the path?
Thanks a million for the help
Click here to see answer by ankor@dixie-net.com(15652)

Question 91671: I need some help
Solve the following equations by factoring or by any of the techniques:
(x-1)^2=7
and also x^2-9x-4=6
Thanks
Click here to see answer by mathispowerful(115)

Question 91877: I need help with this problem:
Find (construct) a quadratic equation that has the roots x=5 and x = -3 m knowing that all the coefficients (a,b,c) are integers.
Thanks so much!
Click here to see answer by scott8148(6628)

Question 91762: this is formula for trapezoid A=h/2(b+c) whats the formula for h? is it :
A/2(b+c)=h ? or 2(b+c)/A= h, or b+c/A= h/2
this is from algebra 1 review handout i got not in a book.
note: all email i get other than this problems answers or other related mail to math will be reported as spam.

Click here to see answer by ankor@dixie-net.com(15652)

Question 91979: I am having a problem with this problem,
Find the x-intercepts
Y=x^2+x-6
Thanks a million
Click here to see answer by stanbon(57347)

Question 91979: I am having a problem with this problem,
Find the x-intercepts
Y=x^2+x-6
Thanks a million
Click here to see answer by jim_thompson5910(28595)

Question 91978: I am having a problem with this word problem, I am not good at them and need some help.
Business and finance : The demand eqaurion for a certain type of printer is given by D=200p+35000.
The supply equation is predicted to be S= -P^2+400p-20000
Find the equalibrium price.
Thanks a million
Click here to see answer by stanbon(57347)

Question 91956: Okay - this is very weird -
I have three sets of ordered pairs:
(0,0) (432.57,0) (225, 190)
(0,0) (40.16,0) (21,11)
(0,0) (104,84,0) (58,64)
I need to go to "QuadReg" (???) and get the quadratic equations!!
I have been working and just can't get it - can someone oh please give me the equations!!!
Thank you
LLo

Click here to see answer by stanbon(57347)

Question 90609: Determine if the relation is a function.

Click here to see answer by mathispowerful(115)

Question 91977: I am having a problem with this word problem, I am not good at them and need some help.
Geometry: The length of a rectangle is 1 cm longer than its width. If the diagonial of the rectangle is 4cm what are the dimensions of the rectangle?
Thanks a million
Click here to see answer by scott8148(6628)

Question 92073: Find a quadratic equation with roots ( 4 + i ) and (4 - i ). PLEASE!!!
Click here to see answer by scott8148(6628)

Question 92079: please help me solve this problem using the quadratic formula.
5x^2 - 3x - 3 = 0
Click here to see answer by funmath(2925)

Question 92079: please help me solve this problem using the quadratic formula.
5x^2 - 3x - 3 = 0
Click here to see answer by jim_thompson5910(28595)

Question 92077: please help me solve this problem 3(x - 2)^2 = 48

Click here to see answer by funmath(2925)

Question 92078: please help me solve this quadratic equation, Solve using completing the square, 3x^2 - 6x = 27

Click here to see answer by jim_thompson5910(28595)

Question 92100: I am not ggod at word problems and I am having trouble on this one

The eqaution H=-16t^2+112t gives the height of an arrow, shot upward from the ground with initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. find the time it takes for the arrow to reach a height of 180ft.

Thanks a million
Click here to see answer by stanbon(57347)

Question 92099: I am totally lost and need some help on theses problems
For each eqaution identify the axis of symmetry, creat a suitable table of value and sketch a gragh
Y=X^2-5x+3
and also Y=X^2+6x-2
Thanks a million
Click here to see answer by stanbon(57347)

Question 92075: can someone help me,i dont get this!!! Find the dimensions of a rectangle a with the greatest area whose perimeter is 30 feet. i dont get this!!!
Click here to see answer by mathispowerful(115)

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