Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 93432: Use synthetic division to divide x^4 + 4x^3 + 6x^2 + 4x + 1 by x + 1. can soemone help me please
Click here to see answer by jim_thompson5910(35256)

Question 93430: If x varies inversely as y and x = 2 when y = 8, find x when y = 15. PLEASE HELP
Click here to see answer by jim_thompson5910(35256)

Question 93430: If x varies inversely as y and x = 2 when y = 8, find x when y = 15. PLEASE HELP
Click here to see answer by Earlsdon(6294)

Question 93431: If y varies directly as x and inversely as z^2, and y = 3 when x = 2
and z = 4, what is the value of x when y = 9 and z = 4?
Click here to see answer by psbhowmick(878)

Question 93441: Use the quadratic formula to solve the following quadratic equation.
2x^2-5x=3
Click here to see answer by checkley75(3666)

Question 93439: Find to consecutive integers such that the sum of their squares is 85.
Click here to see answer by checkley75(3666)

Question 93439: Find to consecutive integers such that the sum of their squares is 85.
Click here to see answer by jim_thompson5910(35256)

Question 93437: Solve the equation for x.
2(x-5)^2=3
Click here to see answer by checkley75(3666)

Question 93446: Use synthetic division to find the value of f (-2) for f (x) =
x ^3 - 3x^2 - x - 9.
Click here to see answer by stanbon(75887)

Question 93440: A garden area is 30ft. long and 20ft. wide. A path of uniform width is set around the edge. If the remaining garden is 400ft.^2, what is the width of the path?
Click here to see answer by jim_thompson5910(35256)

Question 93435: Solve the quadratic equation by completing the square.
x^2-6x-3=0
Can you help me with this?
Click here to see answer by jim_thompson5910(35256)

Question 93436: Solve equation for x.
25x^2=13
Click here to see answer by checkley75(3666)

Question 93459: 1. The length of one leg of a right triangle is 6 cm more than the other. If the length of the hypotenuse is 18 cm, what are the lengths of the two legs? Please give the answer in ascending order rounded to the nearest tenth of a cm.
Click here to see answer by jim_thompson5910(35256)

Question 93461: 2. Suppose that a ball is thrown upward with an initial velocity of 22 ft/sec. If the ball is released at a height of 5 ft., the height equation may be written as h=-16t^2+22t+5 When, to the nearest thousandth of a sec., will the ball be at a height of 9ft. on the way up?
Click here to see answer by jim_thompson5910(35256)

Question 93468: 3. A projectile is fired upward from a platform in such a way that the object will miss the platform on the way down. If the height of the platform is 28 ft and the initial velcoity is 204ft/sec, the height is given by h=-16t^2+204t+28 When will the projectile hit the ground?
Click here to see answer by jim_thompson5910(35256)

Question 93477: 4. The demand equation for a certain computer chip is given by D=-15p+145 The supply equation is predicted to be S=-p^2+45p-270 Find the equilibrium price.
Click here to see answer by jim_thompson5910(35256)

Question 93496: question 93435 is similar but i don't understand the process.
question: x^2 + 4x - 12 = 0
no text available and no use of a calculator is allowed.
Click here to see answer by checkley75(3666)

Question 93534: I am in need of help
A rectangle garden is to be surrounded by a walkway of constant width. The gardens dimensions are 30ft by 40ft. The total area, garden plus walkway is 1800ft^2. What must be the width of the walkway to the nearest thousandth?
Thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 93535: I am in need of help
Solve by using the quadratic formula X^2=5x+8
Thank you
Click here to see answer by checkley75(3666)

Question 93535: I am in need of help
Solve by using the quadratic formula X^2=5x+8
Thank you
Click here to see answer by chitra(359)

Question 93571: Can you solve by factoring the quadratic
5y� + 34y� = 7y
and show every step?
Click here to see answer by stanbon(75887)

Question 93571: Can you solve by factoring the quadratic
5y� + 34y� = 7y
and show every step?
Click here to see answer by Edwin McCravy(20054)

Question 93574: Solve the quadratic equation by completing the square.
x^2-6x-3=0
Click here to see answer by jim_thompson5910(35256)

Question 93575: Use the quadratic formula to solve the following equation.
3x^2-2x+1=0
Click here to see answer by jim_thompson5910(35256)

Question 93573: Solve for x.
x^2+4x+4=7
Click here to see answer by jim_thompson5910(35256)

Question 93653: Solve the equation algebraically.
2x-x^2-18x+9=0
Click here to see answer by jim_thompson5910(35256)

Question 93691: A number is drawn at random from the numbers 1 through 20. The probability the number is a multiple of 3 is:

A box contains 4 red and 5 green balls. Three balls are drawn. The probability 2 red and 1 green are drawn is:

Click here to see answer by stanbon(75887)

Question 93698: 1) For the grouped data:

Score Frequency
90-100 8
80-89 12
70-79 26
60-69 14

An estimate of the mean is _____

2)The expected value of the following probability distribution is ___________.

xi 1 5 10 20 50
pi 0.30 0.40 0.10 0.15 0.05

3) Of 200 students surveyed 40 subscribe to Time Magazine, 65 subscribe to Sports Illustrated, and 10 subscribe to both. If a student is selected at random, what is the probability the student subscribes to Time Magazine or Sports Illustrated?
4) A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings.

Miles per Gallon Frequency
Less than 15 2
16-20 4
21-30 13
31-40 5
Over 40 1

What quantities can be obtained from the table?

Click here to see answer by stanbon(75887)

Question 93685: 1) The probability a basketball player makes a free throw is 0.60. Find the probability the player makes four out of 6.

2) In a binomial distribution, the probability of 25 successes, where n = 65 and p = 0.35 is
3) The probability that Andy studies math over break is 0.3 and the probability that Betty independently studies over break is 0.4. Find the probability Andy studies math over break and Betty doesn't.
4) The area under a normal curve between the scores for z = 2.20 and z = 0.85 is

Click here to see answer by stanbon(75887)

Question 94078: You know that subtracting 15 times a number from twice the square of the number results in an answer of -27. How do I write the equation to represent this?
Click here to see answer by checkley75(3666)

Question 94191: Given x^3 - 4x^2 + 2x + 1 =0
(a)How many possible positive roots are there?
(b)How many possible negative roots are there?
(c)What are the possible rational roots?
(d)Using synthetic substitution, which of the possible rational roots is
actually a root of the equation?
(e)Find the irrational roots of the equation. (HINT: Use the quardratic
formula to solve the depressed equation.)
(a)____________
(b)____________
(c)____________
(d)____________
(e)____________

Click here to see answer by stanbon(75887)

Question 94307: Solve 2x+5y=10 solve for y
Click here to see answer by stanbon(75887)

Question 94306: In an isosceles triangle, two sides are equal. The third side is 75% of the length of one of the equal sides. Find the length of each side when the perimeter is 165cm.
Click here to see answer by stanbon(75887)

Question 94325: I am not good at this and need some help
Identify the axis of summetry, create a suitable table of values and then sketch the graph (include the axis of summetry)
y=-x^2+3x-3
Thank you
Click here to see answer by stanbon(75887)

Question 94356: the problem is:
-3x(squared)+6x+23=0
I understand how to do the formula, but when I try to get my answers for x, they are different then the answer on the answer sheet. Can you break down the problem for me please?
Click here to see answer by jim_thompson5910(35256)

Question 94385: solve the equation by using the quadratic formula
3z^2-8z+2=0
Click here to see answer by jim_thompson5910(35256)

Question 94514: x^2-6x-3=0
Click here to see answer by checkley71(8403)

Question 94542: x^3-x^2-12x=0

I think the answer is x=0, x=4, x=-3, but I'm not really sure how I got that...
Click here to see answer by stanbon(75887)

Question 94542: x^3-x^2-12x=0

I think the answer is x=0, x=4, x=-3, but I'm not really sure how I got that...
Click here to see answer by jayanthihemkos@yahoo.com(87)

Question 94574: I am 32 and just now going back to college, so it has been um..oh about 15 years since I even did any type of algebra problem. This is all new territory for me. Here is the problem as it was presented to me.
Find k such that the equation x(2)^-kx+4=0 has a repeated real solution.
I am not understanding the concept of real solution, I think.
Erica
Click here to see answer by stanbon(75887)

Question 94565: An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork.
Click here to see answer by ankor@dixie-net.com(22740)

Question 94606: I need help solving these two problems.
x^2 � 3x = -6x � 1

x^2 � 10x � 1 = -10

Click here to see answer by checkley71(8403)

Question 94618: I am struggling with this problem I need to solve
it using quadratic formula. Any help would be
appreciated.
x� � 10x � 1 = -10
Click here to see answer by Edwin McCravy(20054)

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, 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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