Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 854264: Someone kindly provide solutio to this....thankss
assume that a firm knows that the cost to make x items is given by the cost function C(x) = 6xsquare + 700x dollars. it also knows that the revenue from x items is given by the revenue function R(x) = 1000x + 400.
Required:
Maximum profit they can expectt and how many of these items they have to produce and sell to make this maximum profitt.

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

Question 853967: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second ,then it's height is a function of time , given by s(t) = -16tsquare + 54t. What is the maximum height reached by the ball?
Click here to see answer by LinnW(1048) About Me 

Question 852303: what is the solution set of the quadratic equation 3x^2 + 2x = 7?
Click here to see answer by LinnW(1048) About Me 

Question 854491: What is the solution for x= 3-y and -y=-5-x?
Click here to see answer by ewatrrr(24785) About Me 

Question 854488: a park is installing a rectangular reflecting pool surrounded by a concrete walkway of uniform width. the reflecting pool will measure 42 ft by 26 ft. there is enough concrete to cover 460 ft^3 for the walkway. what is the maximum width of the walkway?
how can drawing a diagram help you solve this problem
how can you write an expression in terms of x for the area of the walkway

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

Question 854685: Here is another one problem that is difficult for me to answer. Please help
1. Given 6 > -3, writ the inequality obtained by performing these tasks:
A. Add 3 to each side of the inequality
B. Subtract 2 from each side of the inequality
C. Multiply each side of the given inequality by 2
D. Multiply each side of the inequality by -3
Thank you in advance

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

Question 854796: how does the number of solutions relate to a quadratic equations
Click here to see answer by ewatrrr(24785) About Me 

Question 854860: Factor 8x^4-24x+14x^3-42
Click here to see answer by Alan3354(69443) About Me 

Question 854980: Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x^2-x=1

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

Question 855009: ok so I got a question today in math foundations 20... I have to sketch a graph of a quadratic equation but I don't have a equation he gave me just information. I only know the axis of symmetry, x=3 the vertex is (3,5) and finally the y-intercept = (0,8) I only got that no equation how to I graph that? and what would the equation be?
Click here to see answer by stanbon(75887) About Me 
Question 855009: ok so I got a question today in math foundations 20... I have to sketch a graph of a quadratic equation but I don't have a equation he gave me just information. I only know the axis of symmetry, x=3 the vertex is (3,5) and finally the y-intercept = (0,8) I only got that no equation how to I graph that? and what would the equation be?
Click here to see answer by josgarithmetic(39616) About Me 

Question 855115: Please help me solve this question: 7x^2-7x-1=0
I need the solutions for this problem. If you can help me figure out the F.O.I.L. method part of this problem I can do the rest. Thank you!
This is the part i am having trouble with:
(7x+1)(x-7) ???

Click here to see answer by josgarithmetic(39616) About Me 

Question 855121: Factor this equation
6x^2 +2x -4

Click here to see answer by josgarithmetic(39616) About Me 
Question 855121: Factor this equation
6x^2 +2x -4

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

Question 855126: Factor this equation
6x^2 +2x-4
(Please explain step by step thanks!)

Click here to see answer by josgarithmetic(39616) About Me 
Question 855126: Factor this equation
6x^2 +2x-4
(Please explain step by step thanks!)

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

Question 855172: 1. Divide 8 into two parts such that the sum of their squares is 34.
2. $9000 were divided equally among a certain number of persons. Had there been 20 persons more, each would have got $160 less. Find the original number of persons.

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

Question 855206: Answer the questions below about the quadratic function.
f(x)= -3x^2-18x-31
Does the function have a minimum or maximum value?
Where does the minimum or maximum value occur?
What is the function's minimum or maximum value?

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

Question 855332: 14,042= 2000*t-16t^2
It is a question about dropping a rock off a cliff.
Thank you!

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

Question 855293: Bryan has 180 feet of fencing to fence off his rectangular garden. He will use the wall of his house as one side of the garden.
Write an equation to find the area of the garden.
What dimensions create the garden with the greatest area?
What is the greatest area?

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

Question 855602: If the length of one side of a square garden is increased by 3ft and the length of an adjacent side is increased by 2ft the area of the garden increases to 72 square ft. What is the length of a side of the original garden?
Click here to see answer by JulietG(1812) About Me 

Question 855743: a^2+7=8a
Click here to see answer by ramkikk66(644) About Me 

Question 855889: Please help me solve this equation: the height in feet of a golf ball that is hit from the ground can be modeled by the function f(x)=-16x^2=96, where x is the time in second
Click here to see answer by richwmiller(17219) About Me 

Question 855900: The instructions say to solve by factoring. x²+11x+10=0. In the notes we got two answers on similar questions. Please tell me how to solve!
Click here to see answer by ewatrrr(24785) About Me 

Question 855908: The triangle has verticies of -1 0. 4,0. And. 4,6. What are the side lengths

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

Question 855924: The instructions say to solve by factoring. x²+13x=-42. There are supposed to be two answers. I know how to factor when the equation equals 0, but not when there is an answer other than 0.
Click here to see answer by ewatrrr(24785) About Me 

Question 855736: find a condition so that a quadratic equation have the roots such that one is the square of other
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 856211: find the discriminant of the quadratic equation 4x2+2x+19=9

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

Question 856256: I have three problems I could use help solving. All of them need to include a table used to derive an equation. They can be solved by the quadratic equation or factoring. Here are the problems.
The diagonal of a square is 30 feet. Find the length of a side of the square (give exact answer and an approximation to the nearest tenth of a foot).
By splitting up the problems, Michael and Janessa can do a homework assignment in 30 minutes. Janessa alone can do the same assignment in 25 minutes less time than Michael. Find the time it takes each of them to do the assignment alone.
Vivek was riding his bike to school. He lives 3 miles away from Friedell. After riding a mile, he ran over a broken bottle and popped a tire. He had to walk his bike the rest of the way. Walking was three miles per hour slower than riding his bike. The total trip to school took him 1 hour. Find his speed riding his bike and his speed walking.

Click here to see answer by josgarithmetic(39616) About Me 

Question 856351: The area of a rectangle is 60 square units. Find the value of x.
Click here to see answer by Alan3354(69443) About Me 

Question 856547: I cannot figure this problem out! I cannot figure out how to set up an equation and rationalize the denominators. To setup the equation, you need to make a table, which I do not know how to do. I would really appreciate it if you could completely solve this problem for me. I will be sure to thank you for your help.
By splitting up the problems, Noah and Bella can do a homework assignment in 30 minutes. Bella alone can do the same assignment in 25 minutes less time than Noah. Find the time it takes each of them to do the assignment alone.

Click here to see answer by josgarithmetic(39616) About Me 

Question 856810: what are the horizontal intercepts of the graph of the quadratic function
32=x^2-8x+12

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

Question 856814: the horizontal intercepts when x^2+5x+4=-2.....when the euation equal 10?
I do not understand how to do this.... I have trouble with these

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

Question 856847: Hi, could i please have some help with this question, thank you in advance.
Write a paragraph explaining how a quadratic function can be graphed by applying transformations to f%28x%29=x%5E2. Fill in the blanks below.
The graph of a quadratic function g%28x%29=a%28x-h%29%5E2%2Bkcan be plotted from the function f%28x%29=x%5E2by applying transformation properties.
- The parameter a _____________________________________________.
- The parameter h affects the ______________________________ translation and moves the graph to the right if __________ and to the left if __________.
- The parameter k affects the ______________________________ translation and moves the graph up if _________________ and down if ______________.
- The vertex is located at ________________________________________.

Click here to see answer by josgarithmetic(39616) About Me 

Question 857174: Please help me slove this equation : +y=+x%5E2++%2B+2x+%2B1+
Click here to see answer by richwmiller(17219) About Me 

Question 857219: If the quadratic equation p^2x^2 + 4qx + 25 = 0 has real and equal roots such that p>0 and q>0, find p:q.
Click here to see answer by josgarithmetic(39616) About Me 

Question 857230: If the quadratic equation x^2 -x +3 = k has real roots, find the range of values of k.
The answer is k is greater than or equal to 11/4. And what I get is k = 11/4. I don't understand why greater than or equal to is used instead of equal to. Thanks for your help.

Click here to see answer by josgarithmetic(39616) About Me 
Question 857230: If the quadratic equation x^2 -x +3 = k has real roots, find the range of values of k.
The answer is k is greater than or equal to 11/4. And what I get is k = 11/4. I don't understand why greater than or equal to is used instead of equal to. Thanks for your help.

Click here to see answer by reviewermath(1029) About Me 

Question 857249: what is f(x)=96+12x+8x+x^2 in vertex form
Click here to see answer by stanbon(75887) About Me 

Question 857318: what are the approximate values of x that are solutions to f(x) = 0, where
f(x) = -6x^2 + 9x + 5. I am not even sure how to start this. I see that it is in quadratic equation format, and my thinking is that f(x)=0 means that 0=-6x^2 + 9x +5, then I think I am supposed to multiply the -6 by the 5 and find the common factor of -30 that equals 9, but nothing does so I'm confused...Am I doing it all wrong?

Click here to see answer by Fombitz(32388) About Me 
Question 857318: what are the approximate values of x that are solutions to f(x) = 0, where
f(x) = -6x^2 + 9x + 5. I am not even sure how to start this. I see that it is in quadratic equation format, and my thinking is that f(x)=0 means that 0=-6x^2 + 9x +5, then I think I am supposed to multiply the -6 by the 5 and find the common factor of -30 that equals 9, but nothing does so I'm confused...Am I doing it all wrong?

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

Question 857344: The sum of two numbers21, and one number is twice the other.find the numbers.
Click here to see answer by ewatrrr(24785) About Me 

Question 857358: m^2+4/3m+5/9=0
Click here to see answer by ewatrrr(24785) About Me 

Question 857380: The quadratic function which takes the value 41 at x=-2 and the value 20 at x=5 and is minimized at x=2 is: y=Ax^2 - Bx + C, The minimum value of this function is D. (please solve for ABC and D, thank you)
Click here to see answer by richwmiller(17219) About Me 

Question 857402: Carlos is trying to read 12 pages of his book a night. The book has 156 pages. How many days will it take him to finish the book?
Click here to see answer by richwmiller(17219) 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