Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 172668: write the quadratic function in vertex form. Then, identify the vertex.
x²-16x+56=0

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Question 172693: use the given values to find an equation of the form f(x)=ax^2 + bx + c
3. f(0)= 6, f(2)= 18, f(4)= 34
Please explain step by step!
I would really appreciate any help!
Thank you very much!

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Question 172691: use the given values to find an equation of the form f(x)= ax^2 + bx + c
1. f(0)= 5, f(1)=10, f(2)= 19
Please explain step by step so I understand!
I would really appreciate any help!
Thank you very much

Click here to see answer by checkley77(12844) About Me 
Question 172691: use the given values to find an equation of the form f(x)= ax^2 + bx + c
1. f(0)= 5, f(1)=10, f(2)= 19
Please explain step by step so I understand!
I would really appreciate any help!
Thank you very much

Click here to see answer by solver91311(24713) About Me 

Question 172698: could you please explain this problem step by step.
Determine whether x-1 or x+1 is a factor of
x^100 - 4x^99 + 3

I would really appreciate your help!

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Question 172689: I really dont understand this problem can some pleas help me thank you
A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?

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Question 172677: Solve x.
x^2+2^x = 100

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Question 172677: Solve x.
x^2+2^x = 100

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Question 172630: help!
Find zeros for the function:
g(x) = 6 - x^2 -5x
h(x) = x^2 + 6x + 12

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Question 172759: If an object is propelled upward from a 288 foot high tower at an initial velocity of 48 feet per second, then its height h(in feet) after t seconds is given by the equation h=-16t^2+48t+288. What is the maximum height reached by the object?
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Question 172694: A manufacturer charges $24 for stereo headphones and has been selling about 1000 a week. He estimates that for every $1 price reduction, 100 more headphones can be sold per week. (For example, he could sell 1100 headphones at $23 each and 1200 headphones at $22 each.)
a. Let 24-x be the reduced price per set of headphones. write a quadratic function that gives the total revenue recieved by the manufacturer in a week.
My work- would it be 24-1 I really don't understand a & b
b. What price will maxamize the total revenue?
Please explain
I would really appreciate any help
Thank you

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

Question 172747: 25x2+30x+9=-30x please help thankyou
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Question 172827: (3i)-(7i)-(-1-i) My teacher gave me the answer which is 1-(3i) I can not figure out how she did and need to know for a test tomorrow Thank you
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Question 172827: (3i)-(7i)-(-1-i) My teacher gave me the answer which is 1-(3i) I can not figure out how she did and need to know for a test tomorrow Thank you
Click here to see answer by nerdybill(7384) About Me 
Question 172827: (3i)-(7i)-(-1-i) My teacher gave me the answer which is 1-(3i) I can not figure out how she did and need to know for a test tomorrow Thank you
Click here to see answer by Mathtut(3670) About Me 

Question 172846: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
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Question 172864: f(x)=x^2+2x-3
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Question 172888: Is this trinomial a perfect square?
x² - 6x - 9
Please show work as to how it is or isn't.

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

Question 172883: Solve by completing the square.
x² = 5x + 2

Click here to see answer by jim_thompson5910(35256) About Me 
Question 172883: Solve by completing the square.
x² = 5x + 2

Click here to see answer by solver91311(24713) About Me 

Question 172910: f(x)=x^3-4x
(Hint: x=1 is a triple root)
please explain step by step
I would really really appreciate any help

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Question 172897: Find the vertex, axis, and the x & y intercepts of
y= (2x-7) (2x-1)
please explain step by step
I would really appreciate any help!

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Question 172908: 3x^4 -2x^3 + 5x^2 + x + 1; x^2+2x
Please explain step by step
I would really appreciate any help

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Question 172940: The so-called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman architects. The length of a golden rectangle is approximately 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000 m^2.
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Question 172941: Find the x-intercepts
y = x^2 + 4x - 1

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Question 172956: I have been trying this problem and I am stuck and need help! my final is monday.
One positive integer is 7 less than twice another. The sum of their squares is 202. What are the integers? Define a variable. Set up a quadratic equation. Solve, show all your work.
If you could show me all the work too that would be great so I can know how to do it next time.
Thank you

Click here to see answer by Alan3354(69443) About Me 
Question 172956: I have been trying this problem and I am stuck and need help! my final is monday.
One positive integer is 7 less than twice another. The sum of their squares is 202. What are the integers? Define a variable. Set up a quadratic equation. Solve, show all your work.
If you could show me all the work too that would be great so I can know how to do it next time.
Thank you

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

Question 172939: The current in a stream moves at a speed of 3 mph. A boat travels 45 mi upstream and 45 mi downstream in a total time of 8 hr. What is the speed of the boat in still water?
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Question 173026: find the line of symmetry
y=3x^2-8x-5

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Question 173026: find the line of symmetry
y=3x^2-8x-5

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Question 173023: graph y=(x-2)^2+1
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Question 173033: Hi, we just started learning about quadratic equations today, and I found some problems that I needed help with.
Define a variable and write a quadratic function to describe each situation.
30. the product of two numbers whose sum is 45
31. the area of a circle in terms of its radius
32. the product of two numbers whose difference is 15
any help would be appreciated, thank you!

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Question 173065: If you could solve this for me...
9x%5E3%2B5x%5E2-9y-9=0
Thank you!

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Question 173108: how do i convert this into a form i can solve as a quadratic equation?
9(p-300)^2= 1.02^2 *p(400-p)

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Question 173122: Please help me with the following problem.
4/m^2-7 = 1

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Question 173128: Can I please get some help with this problem?
Solve for t h= 16t^2 + vt + s

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Question 173145: I'm not sure I understand what they are asking us to do for this problem. Evaluate the discriminant b^2 - 4ac. Then use the answer to state how many real-number solutions exist for the equation.
y = x^2 + 8x + 16

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Question 173144: I need help with this problem of finding the x intercepts.
y = x^2 + 4x -1

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Question 173144: I need help with this problem of finding the x intercepts.
y = x^2 + 4x -1

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

Question 173140: Help! My final is on Monday and I can't figure out this word problem. Please write it out step by step so I will be able to do it on the final. Thank you.
The height of a triangle is 8 centimeters greter than the base. The area of the triangle is 90 square centimeters. Find the length of the base and height of the triangle. Define a variable. Set up a quadratic equation. Solve. Show all work.
I'm really stuck, I thought I knew it but I've been at it most of the day.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 173140: Help! My final is on Monday and I can't figure out this word problem. Please write it out step by step so I will be able to do it on the final. Thank you.
The height of a triangle is 8 centimeters greter than the base. The area of the triangle is 90 square centimeters. Find the length of the base and height of the triangle. Define a variable. Set up a quadratic equation. Solve. Show all work.
I'm really stuck, I thought I knew it but I've been at it most of the day.

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

Question 173166: ms.noemi jogged at a total distance mof 6600 yards in threee nights.If each night she incr5eased her distance to 440 yards,how far did she jog on the first night.
Click here to see answer by stanbon(75887) About Me 
Question 173166: ms.noemi jogged at a total distance mof 6600 yards in threee nights.If each night she incr5eased her distance to 440 yards,how far did she jog on the first night.
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Question 173165: how many gallons of water that is 74% of alcohol must be mixed with gallons of one that is 90% alcohol in order to obtain a mixture that is 84% alcohol?
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Question 173164: a fanner has three fields of equal size and pays each of his workmen 60 pesos per day.He paid a total of 450 pesos to the workmen after each,working alone,plowed on the field.these workmen together,plowed the third field in 1 13/15 days.how many days did it take each man to plow a field alone?
Click here to see answer by stanbon(75887) 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, 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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