Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 921157: 4x^2+24x-13 converted into vertex form

Click here to see answer by Edwin McCravy(20054) About Me 

Question 917284: how many seconds after it was shot will the charge first be 2000 feet high?
how many seconds after it was shot will be charge next be 2000 feet high?
the equation is -16t^2 +1000t+50

Click here to see answer by srinivas.g(540) About Me 

Question 920628: y squared minus 8y minus 2 equals 0
Click here to see answer by srinivas.g(540) About Me 

Question 917992: solve each inequality. write solution in interval notation
x/5-x/4 < 1
-

Click here to see answer by srinivas.g(540) About Me 

Question 921164: (0,1) (2,3)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 920995: q^2-q-1 / q^3 - 2q^2+2q-1 / q^3
Trying to help my nephew, thank you

Click here to see answer by ewatrrr(24785) About Me 

Question 921023: Find 2 positive numbers whose sum is 300, and whose product is a maximum
Click here to see answer by ewatrrr(24785) About Me 

Question 921278: Explain how to solve x^2+6x-27=0
Click here to see answer by ewatrrr(24785) About Me 

Question 921337: Determine the quadratic equation if the difference of the squares of the roots is 95 and their difference is 5.
Click here to see answer by MathLover1(20849) About Me 

Question 921394: Hi would you please help me solve my homework problem.
Find the value of a so that the equation below will have exactly one rational solution. use quadratic formula
am^2+8m+1=0
My teacher said that the answer is a=16. Would you please show me the steps on how to solve this problem. Thank you.

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

Question 921395: Hi would you please help me solve my homework problem.
Use the quadratic formula to solve the following equation.
y=5(14-y)/3(y+1)
My teacher said the answer is : -4+ sqrt of 226/3 , -4- sqrt of 226/3
Would you please show me the steps on how to solve this problem. Thank you.

Click here to see answer by josgarithmetic(39617) About Me 
Question 921395: Hi would you please help me solve my homework problem.
Use the quadratic formula to solve the following equation.
y=5(14-y)/3(y+1)
My teacher said the answer is : -4+ sqrt of 226/3 , -4- sqrt of 226/3
Would you please show me the steps on how to solve this problem. Thank you.

Click here to see answer by lwsshak3(11628) About Me 

Question 921421: the square of a positive number exceeds itself by 56. what is the number?
Click here to see answer by josgarithmetic(39617) About Me 

Question 921453: Simplify 6 80 − 2 20
Click here to see answer by Alan3354(69443) About Me 

Question 921512: Hello!
I need to find algebraically the point where the curves cross. I don't understand how to do it. The functions I have are f'(x)= 12x-1 and g'(x) = 2x.
Thank you.

Click here to see answer by josgarithmetic(39617) About Me 

Question 921552: x2-2x=35
Click here to see answer by jim_thompson5910(35256) About Me 

Question 921556: x2-2x-35=0
Click here to see answer by MathLover1(20849) About Me 

Question 921554: x^2-2x-35=0
Click here to see answer by MathLover1(20849) About Me 

Question 921698: I would appreciate if someone could help me solve:
y^2 - 8^(1/2)*y = 18^(1/2)*y -1
Answer is supposed to be y = ( 5*2^(1/2) +/- 46^(1/2) ) / 2

Click here to see answer by MathLover1(20849) About Me 

Question 921788: Put the following equation into the form a(x+b)squared+c. 4xsquared+24x+31
Click here to see answer by MathLover1(20849) About Me 

Question 921859: The Hamilton transit system carries 24800 bus riders per day for a fare of $1.85. The city hopes to reduce car pollution by getting more people to ride the bus. while maximizing the transit system's revenue at the same time. A survey indicates that the number of riders will increase by 800 for every $0.05 decrease in fare. What fare will produce the maximum revenue?
Click here to see answer by MathTherapy(10551) About Me 

Question 922002: Find the formula for he parabola with the given point of (2,36) and the zeros (-4,0) and (5,0)
Click here to see answer by stanbon(75887) About Me 

Question 922003: Let f(x)=x^2 and let g(x)=(x-3)^2 +2
a.) Give the formula for g in terms of f, and describe the relationship between f and g in words.
b.) Is g a quadratic function? If so, find its standard form and the parameters a, b, and c.

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

Question 922465: Find the zero of the function. Give exact answers.
f(x)=x^2-10x+34
the answer is -5+3i,-5-3i

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

Question 922463: Find the zero of the function. Give approximate solutions rounded to three decimal place when necessary.
f(x)=5x^2+6x-7
the answer is -1.927, 0.727

Click here to see answer by ewatrrr(24785) About Me 

Question 922555: What is the largest value of k such that the equation x2 – 5x + k has at least one real root?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 922555: What is the largest value of k such that the equation x2 – 5x + k has at least one real root?
Click here to see answer by josmiceli(19441) About Me 

Question 922443: Find the equation of a parabola with roots -3 and 6 and contains the point (1,10). I have tried using k- a( x-h)^2 but as I have no vertex???? I do think 1.5 is the x value of vertex.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 922652: x^2+2x=-3
Click here to see answer by srinivas.g(540) About Me 

Question 922793: write the equation of the quadratic equation whose graph passes through each set of points. (-3,2), (-1,0), and (1,6) using the elimination process. write in standard Form.
Click here to see answer by Fombitz(32388) About Me 

Question 922899: What multiplies to be -6 but adds to be 7?

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

Question 922931: For 2y = - 4 + 24x + 100
when y = a + bx + c
what is b?

Click here to see answer by MathLover1(20849) About Me 

Question 922972: For 2y = - 4 + 24x + 100
when y = a + bx + c
what is the x value of the vertex?

Click here to see answer by Hawksfan(61) About Me 

Question 922970: 9) Bart Simpson is sitting in a treehouse and fires a rock into the air with his (in)famous slingshot. While in flight, the rock’s distance above the ground is a quadratic function. At times 1,2, and 3 seconds after being fired, the rock is 68, 96, and 114 feet above the ground respectively.
​a) Write the quadratic equation describing the rocks height as a function of time since it was fired.

​b) What is the highest the rock will ever be above the ground?

​c) How long after being fired with the rock hit the ground (assuming Bart missed Homer, who he was aiming at)



Click here to see answer by josmiceli(19441) About Me 

Question 922994: Please help me solve this: +-x%5E2%2B8x-17+
I need to graph it and so far I've gotten that my y-intercept is (0,-17) and my x-intercepts would be (-8+2i,0) and (-8-2i,0) but I don't know how to graph that.Thank you.

Click here to see answer by rfer(16322) About Me 

Question 922697: If x-y=81 and x+y=721 then what is the value of Y?
Click here to see answer by Fombitz(32388) About Me 

Question 923584: How do I find the maximum value of Y=x^2-4 when working with quadratic functions
Click here to see answer by Alan3354(69443) About Me 

Question 923563: what is the quadratic equation in the form y=a%28x-h%29%5E2%2Bk when the parabola:
opens up, compressed by a factor of 2, with a vertex at (-1,3)

Click here to see answer by josmiceli(19441) About Me 

Question 923836: Suppose f(x) = (x-7)(x+4).
(a) For which values of x is the function f(x) positive? Enter your answer using inequalities.
help (inequalities)
(a) For which values of x is the function f(x) negative? Enter your answer using inequalities.
help (inequalities)

Click here to see answer by ewatrrr(24785) About Me 
Question 923836: Suppose f(x) = (x-7)(x+4).
(a) For which values of x is the function f(x) positive? Enter your answer using inequalities.
help (inequalities)
(a) For which values of x is the function f(x) negative? Enter your answer using inequalities.
help (inequalities)

Click here to see answer by rothauserc(4718) About Me 
Question 923836: Suppose f(x) = (x-7)(x+4).
(a) For which values of x is the function f(x) positive? Enter your answer using inequalities.
help (inequalities)
(a) For which values of x is the function f(x) negative? Enter your answer using inequalities.
help (inequalities)

Click here to see answer by josmiceli(19441) About Me 

Question 923838: my teacher gave me the expression .5(2x-14)=6x+28. i got the answer of x=-7...is that correct? and she told us to discuss the answer but i dont know how to do that.
Click here to see answer by rothauserc(4718) About Me 
Question 923838: my teacher gave me the expression .5(2x-14)=6x+28. i got the answer of x=-7...is that correct? and she told us to discuss the answer but i dont know how to do that.
Click here to see answer by ewatrrr(24785) About Me 

Question 923837: A right-angled triangle has an area of 30cm^2. The width of the triangle is n+3cm. The height is 4cm less than the width. Find the value of n.
Click here to see answer by MathLover1(20849) About Me 

Question 923844: a right-angled triangle has an area of 20cm^2.
The width of the triangle is n+5cm.
The height is 6cm less than the width.
FInd the value of n

Click here to see answer by Cromlix(4381) 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