Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 748392: There are two factors of -36 such that one factor is 11 less than half of the other factor. Choose all the pairs of these factors.
the choices are
-2 and 18,
-6 and 6,
3 and -12,
4 and -9

Click here to see answer by MathTherapy(10552) About Me 

Question 748709: -x^2-x+12=0
Click here to see answer by stanbon(75887) About Me 

Question 749074: x squared-8x+3=0 completing the square, quadratic formula or square root property
Click here to see answer by solver91311(24713) About Me 

Question 749162: Determine the quadratic equation for the parabola:
maximum value: 9; zeros of f: -6 and 0


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

Question 749163: Determine the quadratic equation for the parabola:
maximum value: 9; zeros of f: -6 and 0



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

Question 749246: Have a project with Angry Birds where you have to find the equation of a parabola for the bird's flight path in various situations. I have to pick a point at the origin and a pint on the x axis for the pig to be placed and find the flight path (equation). How would i do this? I chose for points:
Bird placed at (0,0)
Pig placed at (5,0)

I dont understand what to do after this please help.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 749264: A model rocket is shot up from a the roof of a school. the height,h, in metres, after t seconds can be approximated by h=15+22t-5^2.
what is the height of the school

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

Question 749332: The line of symmetry of the parabola whose equation is y = ax^2 - 4x + 3 is x = -2. What is the value of "a"?
it has to be one of the following.
-2
-1
-1/2

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

Question 749476: What is the axis of symmetry of the equation y=2x^2+5x-4.
Click here to see answer by Alan3354(69443) About Me 

Question 749512: Could you help me solve this problem?
Does the graph of f(x)= -x squared -5x+6 have the point (2, -6) on it?
Thanks so much!

Click here to see answer by josgarithmetic(39617) About Me 
Question 749512: Could you help me solve this problem?
Does the graph of f(x)= -x squared -5x+6 have the point (2, -6) on it?
Thanks so much!

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

Question 749607: How do I solve
4x * the cubed root of 3x squared

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

Question 749758: find the axis of symmetry of the graph of
+x%5E2-12x%2B8+

Click here to see answer by kibauu(44) About Me 

Question 749759: if you graph y=5x^2+7x-15, what would the y-intercept be?
Click here to see answer by josgarithmetic(39617) About Me 

Question 749971: Find the y intercept, x intercept, the axis of symmetry , and vertex of 4= 1/2x^2+4x-5
Can you please help me out? Thanks so much in advance:)
Also can you please show the steps it would really help me understand better:)

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

Question 749976: Find the vertex and intercept only.
y=3-5x+2x^2
I would assume to put them in order, but I'm not really sure from there. Help is Appreciated thanks! :)

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

Question 750021: x intercept of a quadratic function are -3 and 5 what is the equation of its axis of symmetric.
2.x^2-7x+12=0 how many real solution are there.
3.x=2 x=-3 what r the x intercept of the related quadratic equation.
4.(x-12) (x+17)=0


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

Question 749493: let α be a real number, let us translate the graph of the cubic function
y=f%28x%29=x%5E3%2B+alphax%5E2+%2B+bx+%2Bc+ .....{1)
so that the point (α,f(α)) on the graph (1) is translated into the origin (0,0), and express the function of the translated graph in terms of f'(α) and f"(α)
next we consder the translation which translates the point (α,f(α)) on the graph of (1) into the origin, we replace x with x+α and y with y+f(α) in (1), and obtain the expression y=x^3+ f"(α).x^2/A + f'(α)x
As an example, consider the function
f%28x%29=x%5E3+-12x%5E2+%2B48x+-68....(2)
f'(4)=0 and f"(4)=0
we see that when we translate the graph of (2) so that the point (B,C) on the graph is moved to the origin, we get the graph of y=x%5E3
solve for [A] [B] and [C]

Click here to see answer by KMST(5328) About Me 

Question 750257: For the function f(x) = x (squared) - 6x +2
What is the y-intercept? (I got -7)
What is the vertex? (I got 3, -7)
I'm doing homework and feel like my answers are wrong. Please find the answers and let me know so I can check my work. Thank you =)

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

Question 750268: solve by cross multiplication method..
(a-b)x + (a+b)y = 2a^2 -2b^2
ax - by = a^2 + b^2

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

Question 750169: A 30 cm piece of wire is cut into two pieces. One piece is bent into the shape of a square the other piece is bent into the shape of a rectangle with length to width ratio of 2:1 What are the length's of the two pieces if the sum of the areas of the square and rectangle is a minimum?
Can you please help me out? Thanks so much in advance:)
Can you also show the steps it would really help me understand better:)

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 750270: f(x) = -3x^2 -10x -2
What is the vertex?
Where is the symmetric point?

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

Question 750248: A parabola shaped tunnel is 10m high at the centre and spans 18m wide at the base. A 7.5 m high vehicle needs to use the tunnel;, what is the maximum width of the vehicle that can fit through the tunnel?
I need to draw a diagram to represent the tunnel on a coordinate number plane , and find the equation of the parabola. using algebra and coordinate geometry to determinate the maximum width of the truck
I try to solve this problem many times but my results seems to be wrong, please help me I'm so stuck
Ally

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

Question 750319: Can you please show and explain the steps for:
2s^2+s-171=0 ?
Thank you

Click here to see answer by kibauu(44) About Me 

Question 750266: solve using cross multiplication
1 / 2x + 3 / 3y = 2
1 /3x +1 / 2y = 13 / 6
ans)
x =1/2 and y =1 /3

Click here to see answer by kibauu(44) About Me 

Question 750322: A parabola shaped tunnel is 10m high at the centre and spans 18m wide at the base. A 7.5 m high vehicle needs to use the tunnel;, what is the maximum width of the vehicle that can fit through the tunnel?
I need to draw a diagram to represent the tunnel on a coordinate number plane , and find the equation of the parabola. using algebra and coordinate geometry to determinate the maximum width of the truck
I try to solve this problem many times but my results seems to be wrong, please help me I'm so stuck
Ally

Click here to see answer by rothauserc(4718) About Me 

Question 750514: Y=2x^2-6x-8
Click here to see answer by Alan3354(69443) About Me 

Question 750569: 2a^2-46a+254=0 thanks

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

Question 750575: 2a^2-46a+254=0 thank you!
Click here to see answer by nerdybill(7384) About Me 

Question 750610: I am having a lot of trouble figuring this question out: F(x)= -2(x-3)^2+8 , what is the axis of symmetry and the vertex?
Click here to see answer by josgarithmetic(39617) About Me 

Question 750632: A parabola shaped tunnel is 10m high at the centre and spans 18m wide at the base. A 7.5 m high vehicle needs to use the tunnel;, what is the maximum width of the vehicle that can fit through the tunnel?
I need to draw a diagram to represent the tunnel on a coordinate number plane , and find the equation of the parabola. using algebra and coordinate geometry to determinate the maximum width of the truck
I try to solve this problem many times but my results seems to be wrong, please help me I'm so stuck
Ally

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

Question 750837: Please help me solve this question.
Show that the real solution of the equation ax2+bx+c=0 are the negative of the real solution of the equation ax2-bx+c=0. Assume that b2-4ac ≥ 0.
Thank you

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

Question 750840: hi please help me with this question: i think it's under quadratic equation im not sure.
Show that the real solution of the equation ax2+bx+c=0 are the reciprocals of the real solutions of the equation cx2+bx+a=0. Assume that b2-4ac≥0
Thank You

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

Question 750994: Could you please help me solve x^2+19x+90=0
Click here to see answer by kathydots21(7) About Me 

Question 751010: Factor the polynomial completely
4x^2-13x+9

Click here to see answer by josgarithmetic(39617) About Me 
Question 751010: Factor the polynomial completely
4x^2-13x+9

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

Question 751358: I don't understand how to factor this problem: 2a%5E2-9a-18
Click here to see answer by reviewermath(1029) About Me 
Question 751358: I don't understand how to factor this problem: 2a%5E2-9a-18
Click here to see answer by FrankM(1040) About Me 

Question 751412: Factor completely
a^2-2ab+5

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

Question 751419: Completely Factor
x^2-36

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

Question 751417: completely factor
6x^2+21x+15

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

Question 751432: 2r2-3r-1=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 751632: Hello, I tried to solve this question using the answer to part a (25+3x) However, in solving i got two real roots and neither could be dismissed as both satisfied the equation. The question is:
Q 48) An apprentice carpenter has designed a wooden coffee table. He expects to sell 25 of these tables for $95 each, at an upcoming artisan market. By conducting a survey, he determines that for each $2 reduction in the price of the table he will likely gain 3 sales.

a) An expression that describes the price of each table, based on the number of reductions, is 95-2x, where x represents the number of $2 reductions in price. Write a similar expression to describe the number of tables the carpenter can expect to sell, based on the number of reductions.
b) Write an equation to describe the carpenters income as a product of the price of each table and the expected number of tables sold.

c) The carpenter hopes to earn $3600 to pay for his time, materials, and sales booth, as well as make a small profit. Determine the number of $2 reductions he can apply to the price of the tables to make $3600.
d) How many reductions will produce maximum income? Indicate the number of tables sold and the price of each one when maximum income occurs
Thank you

Click here to see answer by Theo(13342) About Me 

Question 751688: How do I make this an quadratic equation:
y=-5x^2+15x+18

Click here to see answer by tommyt3rd(5050) About Me 

Question 751687: You are building a rectangular deck. The area of the deck should be 250 ft squared. You want the length of the deck to be 5 ft longer than twice its width. What should the dimensions of the deck be?
Any help is appreciated

Click here to see answer by rothauserc(4718) 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