Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1040192: small ones weight 3 ldb,big ones weight is 4 lb. the number of small ones is 3 more than twice the number of big ones. all together,they weight 79 lb.how many small ones are there?



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Question 1040216: If the graph of one quadratic opens upward and the other opens downward, what is the greatest possible number of intersections for these graphs?
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Question 1040222: the opposite of a number is 8 more than twice the number find this number.
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Question 1040224: I need help
When the range of x determined by
-ax%5E2%2Bbx%2B4%3E=0 is -1%2F3%3C=x%3C=4
then a = ?, b = ?
Click here to see answer by rothauserc(4718) About Me 
Question 1040224: I need help
When the range of x determined by
-ax%5E2%2Bbx%2B4%3E=0 is -1%2F3%3C=x%3C=4
then a = ?, b = ?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1040301: r2-10r=-17
plz help me...
Click here to see answer by ikleyn(52754) About Me 
Question 1040301: r2-10r=-17
plz help me...
Click here to see answer by jorel555(1290) About Me 
Question 1040282: x = 5
y = -x^2/8 + 11x/8 +3/2
Click here to see answer by ikleyn(52754) About Me 
Question 1040284: h=-4.9t^2+12t+45
the object is at a height of 45m. What amount of time will it take to hit the ground?
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Question 1040317: complete the square 25x^2-9y^2+50x+250=0 and show work. do I use 0 for the y?
Click here to see answer by Aldorozos(172) About Me 
Question 1040317: complete the square 25x^2-9y^2+50x+250=0 and show work. do I use 0 for the y?
Click here to see answer by ikleyn(52754) About Me 
Question 1040352: What is the solution set for 0.5x²=x-0.5?
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Question 1040351: What is the solution set of 12x²-5x-2=0
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Question 1040351: What is the solution set of 12x²-5x-2=0
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Question 1040641: x^2+10x+9=0
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Question 1040642: the area of a rectangular field is 94 sq m and its length is four meters longer than its width. find the dimension of the field.
HOPE YOU CAN ANSWER IT Immediately....
Click here to see answer by josgarithmetic(39613) About Me 
Question 1040723: prove that f(x)=2x^2-3 and g(x)= √((y+3)/2) are inverses of each other
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Question 1040731: Graph and Evaluate the given formula:
f(x){ x^2 + 1 ; x ≤ 0
{ x - 1 ; x ≥ 0
for f(-2) and f(5)
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Question 1040864: 3x²-6x+9=0
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Question 1040894: The temperature of a point $(x,y)$ in the plane is given by the expression $x^2 + y^2 - 4x + 2y$. What is the temperature of the coldest point in the plane?
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Question 1040892: If $t$ is a real number, what is the maximum possible value of the expression $-t^2 + 8t -4$?
Click here to see answer by rothauserc(4718) About Me 
Question 1040891: If $s$ is a real number, then what is the smallest possible value of $2s^2 - 8s + 19$?
Click here to see answer by ikleyn(52754) About Me 
Question 1040890: What real value of $t$ produces the smallest value of the quadratic $t^2 -9t - 36$?
Click here to see answer by ikleyn(52754) About Me 
Question 1040895: Find all values of $p$ such that$$2(x+4)(x-2p)$$has a minimum value of $-18$ over all real values of $x$. (In other words, we cannot have $x$ be nonreal.)
Click here to see answer by robertb(5830) About Me 
Question 1041076: If someone could help me with a step by step on how to solve this word problem in my quadratic equations chapter I would be most grateful! It says:
The area of a rectangle in 48 in^2. It has w width that is 16 inches less than 4 times its length.
What is the length of the rectangle?
I think it wants me to set up a quadratic equation like:
4x^2-16-2304=0
but I'm not sure if I am on the right track? I have a few of these rectangle word problems that are really tripping me up!
Thanks in advance!
Click here to see answer by stanbon(75887) About Me 
Question 1041078: A rectangle with an area of 500 feet has a length that is 30 feet longer than twice its width. How many feet is the length of the rectangle?
Having trouble figuring out these rectangle word problems, I'm terrible at coming up with the actual equation, any help is much appreciated.
Click here to see answer by Boreal(15235) About Me 
Question 1041079: The area of a rectangle is 32cm^2. The width of the rectangle is 4 cm more than 3 times the length.
What is the length of the rectangle is cm?

Thanks in advance for any help, would love any tips on translating the word problem into an equation.
Click here to see answer by Boreal(15235) About Me 
Question 1041079: The area of a rectangle is 32cm^2. The width of the rectangle is 4 cm more than 3 times the length.
What is the length of the rectangle is cm?

Thanks in advance for any help, would love any tips on translating the word problem into an equation.
Click here to see answer by stanbon(75887) About Me 
Question 1041110: solve the equation: 3y^2-7y=-6
Click here to see answer by ikleyn(52754) About Me 
Question 1041203: after plowing a border inside a rectangular field 60 rods wide and 80 rods long, a farmer finds that one half of the field remains to be plowed. how wide is the border?
Click here to see answer by jorel555(1290) About Me 
Question 1041185: In the latest class reunion of HS '70, a certain number of succesful alumni promised to donate equally for a new school project amounting to $240 000.00. Four of them failed to provide the certain amount of money. Hence, each of the remaining alumni had to pay $3 000.00 more to produce the sum. How many alumni had promised to pay originally?
Please state the solution! I really need to review this before our exams on Monday. Thanks alot.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1041248: I need help on these three questions:
~
2a = 3b
a^2 + b^2 = 117
~
Find two numbers with a sum of 6 and with a quotient of -4.
~
A twenty-six meters of fencing is used to enclose a rectangular lot with an area of 42 square meters. What are the dimensions of the lot?
I want to learn more about Quadratic Equations so I had these examples from the book. Please help for a test tomorrow!
Click here to see answer by ikleyn(52754) About Me 
Question 1041257: Find the whole number such that twice its square added to itself makes 10
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1041311: Given the following revenue and cost functions, find the x-value that makes revenue a maximum.
R%28x%29+=+68x+-+2x%5E2%3B+C%28x%29+=+21x+%2B+97
The answer is supposedly 17, but no matter what I do I can't figure out how to get it?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1041311: Given the following revenue and cost functions, find the x-value that makes revenue a maximum.
R%28x%29+=+68x+-+2x%5E2%3B+C%28x%29+=+21x+%2B+97
The answer is supposedly 17, but no matter what I do I can't figure out how to get it?
Click here to see answer by MathTherapy(10549) About Me 
Question 1041388: Write the equation for the following relation. Include all of your work in your final answer. Submit your solution.
Q = {(x, y): (2, 8), (3, 27), (4, 64), (5, 125), . . .}

Click here to see answer by Fombitz(32388) About Me 
Question 1041402: Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.
0 = 2x2 – 7x – 9
0 = x2 – 4x + 4
0 = 4x2 – 3x – 1
0 = x2 – 2x – 8
0 = 3x2 + 5x + 3
Click here to see answer by Boreal(15235) About Me 
Question 1041402: Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.
0 = 2x2 – 7x – 9
0 = x2 – 4x + 4
0 = 4x2 – 3x – 1
0 = x2 – 2x – 8
0 = 3x2 + 5x + 3
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1041377: Show that, if x is real, the values of the expression %28x%5E2-3x%2B1%29%2F%282x%5E2-3x%2B2%29 can only lie between -1 and 5/7.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1041377: Show that, if x is real, the values of the expression %28x%5E2-3x%2B1%29%2F%282x%5E2-3x%2B2%29 can only lie between -1 and 5/7.
Click here to see answer by robertb(5830) About Me 
Question 1041380: The quadratic equation 2x%5E2+%2B+4x+%2B+p=0 has roots alpha and beta, and the equation x%5E2%2B4x%2B6+=+0 has roots k%2Falpha and k%2Fbeta. Find the values of k and p.
Click here to see answer by robertb(5830) About Me 
Question 1041375: If the roots of the quadratic equation 2x%5E2+%2B+x+%2B6+=+0 are alpha and beta, find the quadratic equation whose roots are alpha+%2B+1%2F%282%2Abeta%29 and beta+%2B+1%2F%282%2Aalpha%29.
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Question 1041549: The demand equation for a certain product is P = 35 - 0.001x, where x is the number of units sold per week and P is the price in dollars at which one is sold. The weekly revenue R is given by What number of units sold produces a weekly revenue of $60,000?
I know the answer is 1808, but how do I solve this?
Click here to see answer by solver91311(24713) About Me 
Question 1041596: The demand equation for a certain product is P = 35 - 0.001x, where x is the number of units sold per week and P is the price in dollars at which one is sold. The weekly revenue R is given by R=xP. What number of units sold produces a weekly revenue of $60,000?
I already know that the answer is is 1808 units. I'd just like to know how to solve the problem in the future :)
Click here to see answer by solver91311(24713) About Me 
Question 1041651: In an examination, a student scores 5 marks for every correct answer and loses 2 marks for every incorrect answer. A student attempts 75 questions and scores 165 marks. How many questions did he answer correctly?
Click here to see answer by josmiceli(19441) 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