Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 375464: solve the equation
5. x2 – 3x + 2 = 0

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

Question 375468: factor quadratic expression
1. –8x2 + 32

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

Question 375463: 4. x2 + 144 = 0 (1 point)
a. 12
b. ±12i
c. –12
d. ±12

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

Question 375478: Hello Everyone
Having Trouble with this.

Evaluate:
dy=dx at x = 0 where
(i) y = (x^2 - 1)/(x^2 + 2x + 1)
(ii) y = (e^x + 1)/(1 + e^-x)
Thank You

Click here to see answer by Fombitz(32388) About Me 

Question 375404: Greetings Everyone,
A bit puzzelled with this poblem

Evaluate dy=dx at x = 0 where
(i) y = (x^2 - 1)/(x^2 + 2x + 1)
(ii) y = (e^x + 1)/(1 + e^-x)
Thanks in advance

Click here to see answer by Fombitz(32388) About Me 

Question 375527: 2. x2 – 2x – 11 = 0 Use the Quadratic Formula to solve each equation.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 375527: 2. x2 – 2x – 11 = 0 Use the Quadratic Formula to solve each equation.

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

Question 375858: Hi, Totally Stuck here, not sure if the lecturer has skiped over this part,
Find dy=dx as a function of x and y when:
(a) y - x sin y - 3x^2 - 1 = 0
(b) x^2y^3 - x^2 + 3y - 3 = 0
(c) (1 - x^2) tan^-1 y = 3
Thanks

Click here to see answer by Fombitz(32388) About Me 

Question 375885: Find a fourth degree polynomial function f(x) having only real coefficients,-1,4, and i as zeros, and f(2)=30
Click here to see answer by Fombitz(32388) About Me 

Question 375879: 3x^2 + 9x, find x and y intercepts,range and vertex.
Click here to see answer by Fombitz(32388) About Me 
Question 375879: 3x^2 + 9x, find x and y intercepts,range and vertex.
Click here to see answer by ewatrrr(24785) About Me 

Question 375514: find and label the vertex and the line of symmetry f(x)=-2(x+2)=0
Click here to see answer by Fombitz(32388) About Me 

Question 375827: -x^2-3x+5=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 375912: I am having trouble understanding this, can anyone please help?
Simplify the following expression, and rewrite it in an equivalent form with positive exponents.
-11x^4y^-2/55x^-5y^-1

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

Question 375874: I am having trouble wiyh my Appendix F. Can someone help me please?
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).
Tickets = x2 - 6x + 16
a. Does the graph of this equation open up or down? How did you determine this?
b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)
d. Will tickets peak or be at a low during the middle of the sale? How do you know?
e. After how many days will the peak or low occur?
f. How many tickets will be sold on the day when the peak or low occurs?
g. What is the point of the vertex? How does this number relate to your answers in parts e and f?
h. How many solutions are there to the equation x2 - 6x + 16? How do you know?
i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by Earlsdon(6294) About Me 

Question 375940: Hi, the problem i am having is with subsitution in a qudratic equation.
x^2-xy=10 (1)
x+y=8 (2)
Thank you. I worked it out using the qudratic formula but i would like to know if it's right before handing my assignment in to my teacher I need it by tommrrow morning please help.

Click here to see answer by scott8148(6628) About Me 
Question 375940: Hi, the problem i am having is with subsitution in a qudratic equation.
x^2-xy=10 (1)
x+y=8 (2)
Thank you. I worked it out using the qudratic formula but i would like to know if it's right before handing my assignment in to my teacher I need it by tommrrow morning please help.

Click here to see answer by mananth(16946) About Me 

Question 376000: 1-2x<5-x
Click here to see answer by robertb(5830) About Me 

Question 376022: what rate of interest would one need in order to double one's investment in 8 years if interest is compounded daily.
Click here to see answer by solver91311(24713) About Me 
Question 376022: what rate of interest would one need in order to double one's investment in 8 years if interest is compounded daily.
Click here to see answer by mananth(16946) About Me 

Question 376027: solve
x^2 + (x+7)^2 = 169

Click here to see answer by nerdybill(7384) About Me 

Question 375999: 2x-3y=9
Click here to see answer by nyc_function(2741) About Me 

Question 375877: Use synthetic division to determine f(4), if f(x)= -2x^3-7x^2+4x+6
Click here to see answer by nyc_function(2741) About Me 

Question 375518: a. solve 8x+x(x-6)=0
b. find the x-intercept f(x)=8x+x(x-6)=0

Click here to see answer by nyc_function(2741) About Me 

Question 376133: f(x)=x²-4x-5
Click here to see answer by mananth(16946) About Me 
Question 376133: f(x)=x²-4x-5
Click here to see answer by checkley79(3341) About Me 

Question 375890: Pauline wants to sell stainless steel water bottles as a school fundraiser. She knows that she will maximze prophits and raise 1024 dollars if she sells the bottles for 28 dollars each. she also knows that she will lose 4160 dollars if she sells the bottles for only 10 dollars each.
a) Write a quadratic relation to model her profit. P in dollars if she sells the bottles for x dollars each
b) What selling price will ensure that she breaks even

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

Question 376104: Can somebody help me with the following
Find df=dx for the following functions:
f(x) =
ln(1 + x^2)/1 + x^2
Cheers

Click here to see answer by Fombitz(32388) About Me 

Question 376103: Hi can somebody please help with the below, and be as kind as to talk me through the steps, i am totally confused with this.
Find dy=dx as a function of x and y when:
i) x^2y^3 - x^2 + 3y - 3 = 0
ii)(1 - x^2) tan^-1 y = 3
Really appreciate this.
Thanks

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

Question 376185: x^2+4x+3/x^2-3x+2*x-1/3x+3
Click here to see answer by Fombitz(32388) About Me 

Question 376228: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?
Click here to see answer by Fombitz(32388) About Me 

Question 376238: A carpenter is building a rectangular room with a fixed perimeter of 40 ft. What dimensions would yield the maximum area? What is the maximum area?
Click here to see answer by Alan3354(69443) About Me 

Question 376236: Hi Everyone, stuck in again on a weekend doing my maths !, having problems with this one please can someone help
A circular-cylindrical oil drum is required to have a given surface area S (including its lid and base), ie S is a constant. Find the proportions of the design which contain the greatest volume V .
Thank You
John

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

Question 376255: A window washer accidentally drops a bucket from the top of a 144 meter building. The height h of the bucket after t seconds is given by the formula . When will the bucket hit the ground?

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

Question 376333: How do we solve the following problem using factorization?
The sum of the squares of two consecutive integers is 13 Find the integers.

Click here to see answer by robertb(5830) About Me 
Question 376333: How do we solve the following problem using factorization?
The sum of the squares of two consecutive integers is 13 Find the integers.

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

Question 376338: how do i write a quadratic expression from the answer, the answer being; - sqrt(5), 6 sqrt(5) ??
please demonstrate so i can learn this.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 376338: how do i write a quadratic expression from the answer, the answer being; - sqrt(5), 6 sqrt(5) ??
please demonstrate so i can learn this.

Click here to see answer by edjones(8007) About Me 

Question 376206: Hi can somebody please help with the below, and be as kind as to talk me through the steps, i am totally confused with this.
Find dy/dx as a function of x and y when:
i) x^2y^3 - x^2 + 3y - 3 = 0
ii)(1 - x^2) tan^-1 y = 3
Really appreciate this.
Thanks

Click here to see answer by robertb(5830) About Me 

Question 376453: describe how to solve it using factorization and zero factor property.
x^2 -x - 6 = 0

Click here to see answer by Fombitz(32388) About Me 

Question 376477: describe how to solve by factoring:
1. y^3 + 2y^2 -y -2
2. a^4 b + ab^4

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

Question 376647: Can someone please help with the following?
Use the quadratic formula to solve the equation.
2x^2-3x=-6
(Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

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

Question 376663: a soccer ball was kicked from the ground and its height in meters above ground is modeled by the function h(t)=-4.9t^2+19.6t where t represents the time in second after the ball is kicked how long is the ball in the air
Click here to see answer by mananth(16946) About Me 

Question 376649: Find two numbers whose sum is 10 and product is 18.
Click here to see answer by mananth(16946) About Me 

Question 377298: x squared + 7x + 3 = 0
solve by completing the square

Click here to see answer by Fombitz(32388) 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, 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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