Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1015229: Evaluate the function f(x)=x at the given values of the independent variable and simplify
___
/x/
f(5)
f(-5)
f(r2)
thanks very much
Click here to see answer by ikleyn(52775)

Question 1015390: The sum of the squares of 2 positive consecutive odd numbers is 130. Find the numbers.
Click here to see answer by macston(5194)

Question 1015503: Write a quadratic equation in standard form that has roots of -12 and 2.
Click here to see answer by Boreal(15235)

Question 1015504: The area of a rectangle is 35 yd2, and the length of the rectangle is
8 yd less than three times the width. Find the dimensions of the rectangle.
Click here to see answer by Boreal(15235)

Question 1015514: Find k if the roots of the equation (k+3)x^2 - 2(k+1)x - (k+1) = 0 are equal. If k is not equal to -3.
Click here to see answer by Boreal(15235)

Question 1015514: Find k if the roots of the equation (k+3)x^2 - 2(k+1)x - (k+1) = 0 are equal. If k is not equal to -3.
Click here to see answer by MathTherapy(10551)

Question 1015459: A rectangle has length 4 cm greater than its width. find its width given that its area is 96 cm2.

Click here to see answer by josgarithmetic(39616)

Question 1015459: A rectangle has length 4 cm greater than its width. find its width given that its area is 96 cm2.

Click here to see answer by MathTherapy(10551)

Question 1015614: 18. Use the discriminant to find the number of real solutions of the equation 3x2 � 5x + 4 = 0. Show your work.

Click here to see answer by Alan3354(69443)

Question 1015628: What is the simplest form of this equation? 3x^2 5x-14. Thank you
Click here to see answer by addingup(3677)

Question 1015628: What is the simplest form of this equation? 3x^2 5x-14. Thank you
Click here to see answer by Fombitz(32388)

Question 1015628: What is the simplest form of this equation? 3x^2 5x-14. Thank you
Click here to see answer by algebra hello(55)

Question 1015778: If you have a parabola with a height of 8m and a width of 24m. What's an equation you could use to descripe this parabola

Click here to see answer by ikleyn(52775)

Question 1015811: Suppose the roots of an equation 2x�+3px+5q differ by 1,find the equation connecting p and q
Click here to see answer by ikleyn(52775)

Question 1016189: Hello, I am having problems with a word problem and hope someone can help. William, a logistician, needs to route a freight train that is 20 feet at its tallest point and 10 feet at its widest point within 3 days. The most direct path includes a single-track tunnel that needs 24 hour notice prior to use. If the tunnel is roughly modeled by f(x)=-0.1x^2+3.2x-3.5, should william make arrangements for the train to use the tunnel? Show work that supports your conclusion. **I have x=-b/2a=-3.2/2(-0.1)=x=16 and then I took f(16) and substituted 16 in the equation for x and got 22.1. So, the height of the tunnel is 22.1 and the train is only 20 feet so it will fit, correct? Also, is the 22.1 the maximum height of the tunnel, I'm confused on the max and minimum. And, how do I figure the width of the tunnel to make sure the train will fit width-wise?? Thanks for any help!
Click here to see answer by ikleyn(52775)

Question 1016453: Use the quadratic formula to solve the equation x^2+7x+9=0.
The formula is: x=-b √b^2-4ac/2
please help
Click here to see answer by macston(5194)

Question 1016457: Use the quadratic formula to solve each equation please :)
(x+1)(x-2)=5

x^2+9x-2=-16
Click here to see answer by addingup(3677)

Question 1016499: I am not sure what I need to do to solve this equation:
3= 1/x+2 + 2/(x+2)squared
Click here to see answer by Alan3354(69443)

Question 1016552: The total area of two square windows is 1,025 in.2. Each side of the larger window is 5 in. longer than the sides of the smaller window. How long are the sides of the smaller window? A=s^2
Click here to see answer by josgarithmetic(39616)

Question 1016603: Find the quadratic function that includes the set of values below
(0,9), (2,15), (4,5)

Click here to see answer by Fombitz(32388)

Question 1016658: In a recent year, person A and person B had two concert tours, and together they generated $192.9 million in ticket sales. If person B took in $22.3 million less than person A, how many millions of dollars did each tour generate?
Click here to see answer by addingup(3677)

Question 1016955: (z)/(2)=(4z^2)-1
Click here to see answer by stanbon(75887)

Question 1016992: Please Help me I never was good at word problem. Please show all work.
Thanks in advance
The length of a rectangular garden is 7 feet longer than its width. If the garden's perimeter is 202 feet, what is the area of the garden in square feet?

Click here to see answer by Alan3354(69443)

Question 1017029: The trinomial x^2-6x+9 is of the form x^2+bx+c. What is the value of b in the trinomial x^2-6x+9?
Click here to see answer by macston(5194)

Question 1017055: A). x^2-4x+9=0
B). 1/(5x )-1/4x +1/3x=(-17)/60

need help with showing the steps to break the problem down to get the answer. thank you.

Click here to see answer by ikleyn(52775)

Question 1017054: A). x^2-4x+9=0
B). 1/(5x )-1/4x +1/3x=(-17)/60

need getting the answer please show the steps. thank you.
Click here to see answer by ikleyn(52775)

Question 1017252: What is a quartic function with only the two real zeros given? �=4 and x= -1 how do u do this i try and try thank u.
Click here to see answer by ikleyn(52775)

Question 1017283: 38 of the students of a class opted for visiting an old age home. 16 students opted for nature walk. Square root of total number of students in the class opted for tree plantation in the school. The number of students who visited an old age home is same as the number of students who went for a nature walk and did tree plantation. Find total number of students?
Click here to see answer by macston(5194)

Question 1017282: The area of a rectangular wall of a barn is 54 square feet. its length is 12 feet longer than twice its width. Find the length and width of the wall of the barn.
Click here to see answer by Cromlix(4381)

Question 1017441: If 63 = length � 7,then length = _�_
Click here to see answer by fractalier(6550)

Question 1017694: A)4x^2 � 27 = 0
B) 4x^2 � 8x � 5 = 0
C) 4x^2 � 8x � 12 = 0
D) 4x^2 � 9x � 7 = 0
Can you please help me match up if (factoring, Square root property, Completing the square or Quadratic formula) go with A,B,C,D thank you. I need one for each equation.
Click here to see answer by Boreal(15235)

Question 1017786: Hi guys! So we have these quadratic equation word problems that we are solving right now. The problem I am about to list is one that I think I finished and got right, but I'm not entirely sure. Here is the problem and the answer that I got so you can check and help me:
You are trying to dunk a basketball. You need to jump 2.5 ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16(t)^2 + 12t. What is the maximum height that your feet will be above the ground? Will you be able to dunk the basketball?
I completed the square where I found a a new "c" (9/64) and once I squared it, I got 3 plus or minus 3 all over 8. So basically, 3+-3/8. I got 0 when I subtracted, making that an extraneous solution. When I added 3 with 3, I got 6/8 which becomes 3/4. Does that mean 3/4 of a foot like I think it does? Thank you!
Click here to see answer by KMST(5328)

Question 1017850: What percent of
200 Rs is 55 Rs
Click here to see answer by addingup(3677)

Question 1017822: Sketch the curve y=x^3-9x^2+15x-7 indicationg clearly it point of intercetion with the axes and its turning points.
THANK YOU
Click here to see answer by Alan3354(69443)

Question 1018089: Write the equation of the quadratic function with roots -2 and 4 and a vertex at (1, 9).
Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2).
Click here to see answer by Fombitz(32388)

Question 1018126: (10x-12-3x squared)-(18-4x squared+9x)
Click here to see answer by Boreal(15235)

Question 1017770: Find a quadratic model for the set of values (-2, -20)(0,-4) (4, -20) if u can, can u show your work please thnx so much, trying to see if i did it wright.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1018223: Find all numbers such that the square of the number is 48 more than double the number. If you find more than one, then list all the numbers you find in increasing order, separated by commas.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1018224: A monic quadratic is a quadratic in which the coefficient of the quadratic term is 1. For example, r^2 - 3r + 7 is a monic quadratic, but 3t^2 - 3t + 1 is not.
A teacher writes a monic quadratic on the board.
Joanie copies the quadratic onto her paper, but writes down the wrong constant term (but the correct quadratic and linear terms). She correctly factors the quadratic that she wrote down on her paper, and determines that her quadratic has roots -16 and 2.
Kelvin is factoring the same quadratic that the teacher wrote on the board. He also copies the quadratic onto his paper, but he writes down the wrong coefficient for the linear term (but the correct quadratic and constant terms). He correctly factors the quadratic that he wrote down, and determines that his quadratic has roots -36 and 2.
What are the roots of the quadratic that the teacher wrote on the board? (Write your answers in increasing order, separated by commas.)
Click here to see answer by Theo(13342)

Question 1018613: 2x^2+8x-7=-2

Click here to see answer by Boreal(15235)

Question 1018824: The addition of either -x8 or 5x7 will change the end behavior of y = -2x7 + 5x6 - 24.
Explain how each of the added terms above would change the graph
Click here to see answer by Boreal(15235)

Question 1018590: Solve the question
S^2-s=0
Click here to see answer by Fombitz(32388)

Question 1018990: the difference of two numbers is 2 and their product is 244. what are the numbers?
Click here to see answer by josgarithmetic(39616)

Question 1018861: The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution.

Click here to see answer by fractalier(6550)

Question 1019232: what is the area of length 8cm x width 3cm
Click here to see answer by Cromlix(4381)

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