Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 490914: eleminatio linear equation
3x + y=-1
2x +-y= 3
substitution
3x + 2y=1
7x + 6y=2

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

Question 491133: this is the word problem. The profit function for the Recklus Hang gliding Service is P(x) = -0.2x
2
+ fx - m,
where f represents the set up fee for a customer’s daily excursion and m
represents the monthly hanger rental. Also, P represents the monthly profit in
dollars of the small business where x is the number of flight excursions facilitated
in that month.
The question i have is How many flight excursions must be sold in order to maximize the profit? Show
your work algebraically. Trial and error is not an appropriate method of solution –
use methods taught in class

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

Question 491071: Find the power function that the graph of f resembles for large values of [x]
f(x)= -x^2(x+4)^3(x^2-1)

Click here to see answer by richard1234(7193) About Me 

Question 491375: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated list.)

4.5x2 − 6x + 15 = 0

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

Question 491386: A board game is played on a rectangular board whose area is 96 square inches. If the length is 4 inches longer than the width find its demension.
what ive got so far:
L=w+4
L*W=96
(W)*(W+4)=96
Wsquared+4W=96

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

Question 491476: How would you solve the equation by factoring? +4%28x-2%29%2F%28x-3%29%2B3%2Fx=%28-3%29%2Fx%28x-3%29+
Click here to see answer by MathLover1(20849) About Me 

Question 491547: Find a quadratic equation with the given roots r1 and r2. Write the answer in the form
ax2 + bx + c = 0,
where a, b, and c are integers and a > 0.
r1 = 4 and r2 = 11

Click here to see answer by Gogonati(855) About Me 

Question 491989: Please help me solve this quadratic equation in a step-by-step manner by completing the square :
3x%5E2-7x-3=0

Click here to see answer by nerdybill(7384) About Me 
Question 491989: Please help me solve this quadratic equation in a step-by-step manner by completing the square :
3x%5E2-7x-3=0

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

Question 492012: Solve the following systems of equations for both x and y.
-5x + 3y = -40
9x - 4y = 72

Click here to see answer by deborabr(181) About Me 

Question 492082: write the quadratic equation x^2+x-12=0 in factored form
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 492166: Solve for x.
x^( 2) + 8x + 16 = 25


Click here to see answer by deborabr(181) About Me 

Question 492586: I have to find the y-intercept, the equation of the axis of symmetry, and the x-coordinator of the vertex. 2. make a table of values that includes the vertex 3. use the information to graph the function. My problem is, I do not understand the rules for solving the equation.
f(x)=x to the second power - 8x + 15. please help. I would also like to know the explanaions as to what equation to use to solve the problem.

Thanks, Deonte

Click here to see answer by WhuddaPeach(6) About Me 

Question 492734: make m the subject of the formula W=(F/M+g/n)^-1
please explain to me how do you do it dont just give me the answer.

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

Question 492878: Sam has a 15 by 25 rectangular pool. He wants to pour a concrete deck of uniform width around the pool so the area of the pool and deck is 600 sq. ft. How wide is the deck?
Click here to see answer by lmeeks54(111) About Me 

Question 493046: Can you please tell me how to translate this phrase using mathematical symbols
1. one more than the difference of two numbers

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

Question 492989: Can someone help?
51p=2p^2+72

Click here to see answer by Gogonati(855) About Me 

Question 493293: Im trying to help my son but can't remember how. Write the quadratic function in standard form. Determine whether the graph of the functions opens up or down. Problem: y=3-2x-x^2
Click here to see answer by Alan3354(69443) About Me 

Question 493692: solve by factoring: 2x^2+3x=2 ...please. thanks!
Click here to see answer by stanbon(75887) About Me 

Question 493725: Really need some help please.
Given the quadratic function f(x) = x2 – 18x + 81, find a value of x such that f(x) = 16.

Click here to see answer by nerdybill(7384) About Me 
Question 493725: Really need some help please.
Given the quadratic function f(x) = x2 – 18x + 81, find a value of x such that f(x) = 16.

Click here to see answer by MRperkins(300) About Me 

Question 493948: Hi. I'm trying to do my algebra 2 GT homework and I have no idea how to do it by hand. I know how to plug it into the calculator and get the graph and answer, but I don't remember how to do so by hand. The problem says to "Graph the function. If a > 0 find the minimum value. If a < 0 find the maximum value. The function is y= +3x%5E2+-+4x+-+2. THANK YOU!!
Click here to see answer by Theo(13342) About Me 
Question 493948: Hi. I'm trying to do my algebra 2 GT homework and I have no idea how to do it by hand. I know how to plug it into the calculator and get the graph and answer, but I don't remember how to do so by hand. The problem says to "Graph the function. If a > 0 find the minimum value. If a < 0 find the maximum value. The function is y= +3x%5E2+-+4x+-+2. THANK YOU!!
Click here to see answer by lwsshak3(11628) About Me 

Question 493431: find all solutions of the equation...
27x^3-512=0
i know i have to get the cube or something like that
or the GCF?

Click here to see answer by bucky(2189) About Me 

Question 494123: how would you solve 15=3(7m+5)

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

Question 494134: 15=3(7m+5)
Click here to see answer by rfer(16322) About Me 
Question 494134: 15=3(7m+5)
Click here to see answer by MathLover1(20849) About Me 

Question 494653: solve by factoring 9t^2+3t=0
Click here to see answer by MathLover1(20849) About Me 

Question 494398: I need help fast. What would us students do without this site and without you all to help us? Thank you all so much.
Using operations of order(PEMDAS)using multiplication, how do I solve these problems? -1(-3)^2, -1*3^2.

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

Question 494884: How does finding the equation given the solution and factoring relate?
Even though I am able to solve the problem I am having issues putting it into words. Thanks

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

Question 494920: a rock falls from a tower that is 320 feet high. As it is falling, its height is given by the formula h=320-16t^2. How many seconds (in tenths) will it take to get to the ground.(h=0)?
My solution
0=-16t^2+320t
0=-4t(4t-80)
4t=0 or 4t-80=0
t=0 or t=20
0 doesn't answer the question so I get 20 seconds. The answer key on my study sheet says 4.5 seconds. I am not sure what I did wrong. Thanks!

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

Question 495248: find the value of k so that the equation 5x^2-8x+k=0 will have roots whose product is equal to 2/3?

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

Question 495898: Can you please explain to me why (x+4)^2 is not equal to x^2+16?
Thank you for taking the time to help me with this.

Click here to see answer by richard1234(7193) About Me 

Question 495908: Can you please explain to me why (x+4)^2 is not equal to x^2+16?

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

Question 495911: %28x%2B4%29%5E2 and x%5E2%2B16. Can you tell me why they are not equal? I get the part when you say that they are different. But why are they? I have the answer to %28x%2B4%29%5E2, but where is the solution to x%5E2%2B16? I am so confused.

Click here to see answer by kingme18(98) About Me 

Question 496076: Can you please help me by showing me how to solve the following. It says solve the equation by completing the square. x^2 +8x=5 Thank you!
Click here to see answer by chessace(471) About Me 

Question 496078: Can you please help me by showing me how to solve the following. It says write the expression in the standard for a+bi. -6i(-2+9i) Thank you!
Click here to see answer by chessace(471) About Me 

Question 496280: Where does the quadratic fromula come from?
-b plus or minus the square root of b squared minus 4ac all divided by 2a

Click here to see answer by richard1234(7193) About Me 

Question 497028: The length of a rectangle is twice the width. The area is 288 yd^2 find the length and width? PLEASE HELP ASAP?? THANK YOU!!!
Click here to see answer by jorel1380(3719) About Me 

Question 497116: Help me Please.

1. 16a^2-12a^2+24a^2b^2/4a^2. Find the quotient of the problem.
2. 3(2)*(2)-5(2)= Find the value of each expression when x=2.

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

Question 497434: Please help me
1. find the quotient and write the the answer
in scientific notation (10*10^6)/5x10^-3=
2. Add 46x^2-100x-120 to 26x^2-49x+70=
3. write this number in scientific notation 41,700= ___ *10^.
Thank you so much.

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

Question 497684: give exact and approximate solutions to three decimal places. x^2+16x+64=4
what are the exact solutions?
x=
Thank You For Your Time

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

Question 498174: During the first part of a trip, a canoiest travels 35 mls. at a certain speed. The canoiest travels 9 mls. on the second part of the trip. at a speed of 5 mls. slower. The total time for this trip is 2 hrs. What was the speed on each part of the trip?
Click here to see answer by mananth(16946) About Me 
Question 498174: During the first part of a trip, a canoiest travels 35 mls. at a certain speed. The canoiest travels 9 mls. on the second part of the trip. at a speed of 5 mls. slower. The total time for this trip is 2 hrs. What was the speed on each part of the trip?
Click here to see answer by lwsshak3(11628) About Me 

Question 498166: solve the following equations.
1. 1/(x-2)^2 + 1/(x-2) -6 =0
2. 2/(x+1) - 5/(sqrt x+1) +3 =0

Click here to see answer by lwsshak3(11628) 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