Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 182510: Tell what quadrants the solution area is in for the following system of inequalities:
x + y < 3
x - 2y > 6
Click here to see answer by Mathtut(3670)

Question 182511: Solve using a system of equations (show the two equations you used then show the solutions):
Tickets for a concert sold for $11 and $8. If 600 tickets were sold for one evening and the receipts are $5550, how many of each kind of ticket were sold?

Click here to see answer by checkley77(12569)

Question 182616: 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 Earlsdon(6287)

Question 182648: My group and I tried to work on this one and ended up with A(t)= -1.5t^2 + 900t + 0 but I dont think that is correct. Any help you could give me would be greatly appreciated!

Farmer Bill has 70 acres on which he wants to plant a pear orchard. Three neighboring farms with similar soil conditions already have established orchards. Based on the yield from the neighboring farms, the yield per tree appears to be a linear function of the tree density (trees per acre). Letting ‘t’ be the number of trees planted per acre, the function P(t)= -1.5t + 900 represents the yield in pears per tree.
What function of ‘t’ would then give the yield per acre for the orchard? Assuming Farmer Bill wants to maximize his yield, what is the optimal number of trees to plant per acre, and what will be the total yield from the farmers 70 acre orchard?

1. Write an equation for the yield per acre as a function A(t)
2. Absolute minimum or absoulte maximum?
Click here to see answer by Alan3354(30993)

Question 182509: Solve using a system of equations (show the two equations you used then show the solutions):
A sofa and chair cost $850 as a set. If the sofa cost $100 more than twice as much as the chair what is the cost of each?
Click here to see answer by MathGuyJoe(20)

Question 182673: 5a.

(i) How many solutions exist for a quadratic equation? Explain.
(ii) How do we determine whether the solutions are real or complex?

I have no idea how to approach either of these. thanks for the help.
Click here to see answer by Alan3354(30993)

Question 182674: 5b.

What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x2 - 10x - 42 = 0."
I appreciate your help, thank you.
Click here to see answer by Alan3354(30993)

Question 182677: 5b.
What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x2 - 10x - 42 = 0."
thank you for your help.
Click here to see answer by Fombitz(13828)

Question 182692: A student opens a mathematics book to 2 facing pages. The product of the page numbers is 1806. Find the page numbers. The first page number is
The second page number is
Click here to see answer by Mathtut(3670)

Question 182706: how do I solve this equation? I have to find the real roots for
Click here to see answer by vleith(2825)

Question 182769: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function f(x) = -2x^2+2x+1
Click here to see answer by Mathtut(3670)

Question 182776: Method of Elimination.
9. Liz works at ballpark selling bottled water. She sells 37 bottles in one shift. The large bottles sell for $5 each and the small bottles sell for $3 each. At the end of one game, she has taken in $131.
a) How many large bottles did Liz sell?
b) How many small bottles did she sell?
Please and thank you very much
Click here to see answer by Mathtut(3670)

Question 182785: Method of Elimination Problem Solving
18. What happens when you solve the system 2x+3y=6 and 6x+9y=0 by elimination? Use a graph in your explanation.
Pleasee and thank you very much...
Click here to see answer by eperette(173)

Question 182781: Method of Elimination Solving Problem
13. To solve the following linear system by elimination, Brent firsat multiplied each equation by 10. Explain why he did this step. Complete the solution.
0.3x-0.5y=1.2
0.7x-0.2y=-0.1
Please i am really confused thank you very much..
Click here to see answer by stanbon(57308)

Question 182844: Determine the axis of symmetry,the vertex and two other points for showing all work. Then, graph this function. Be sure to label the axis of symmetry, the vertex and the two additional points and indicate the scale by labeling the axes
Click here to see answer by jim_thompson5910(28593)

Question 182783: Method of Elimination solving Problem
15. Bhargav stops in at a deli to get lunch for his crew. He buys five roast beef and three vegetarian sandwiches and the order costs $27.50. The next week, he pays he pays $23.00 for two broast beef and six vegetarian sandwiches. How much does one roast beef sandwiches cost?
Please and thank you very much...
Click here to see answer by checkley77(12569)

Question 182782: Method of Elimination solving problem
14. Solve each linear system.
a) 0.2x-0.3y=1.3
0.5x+0.2y=2.3

b) 0.1a-0.4b=1.9
0.4a+0.5b=-0.8
Pleaseeeeeee and thanksssssss a lottttt
Click here to see answer by checkley77(12569)

Question 182904: 4. Find the area and perimeter of each rectangle.
a) Length=1.5m width= 0.25m
b) L= 4 1/6 in W=2 1/3 in.

Click here to see answer by jim_thompson5910(28593)

Question 182901: working with triangles: 10. If angle s =49 and angle t = 11, then angle r = ______.
Click here to see answer by Alan3354(30993)

Question 182903: 8. The platform of the Taj Mahal in India is a rectangular prism. It is 95 m long,95 mwide and 7 m high. Find the surface area of the platform.
Click here to see answer by solver91311(16877)

Question 182902: 9. Find the volume of each cylinder with the given dimensions. Round your answer to the nearest hundredth.
a) R=8.1 cm H= 4 cm
b) R= 9m H= 23.5m

Click here to see answer by solver91311(16877)

Question 182787: a rectangular garden is 9 feet longer than it is wide. A second rectangular garde is planned so that it will be 6 feet wider and twice as long as the first. Find the area of the first garden if the sum of the areas of both gardens will be 528 square feet.
Click here to see answer by solver91311(16877)

Question 182934: 4. Find the area and perimeter of each rectangle.
L= 4 1/6 in W=2 1/3 in.

Click here to see answer by checkley77(12569)

Question 182936: 9. Find the volume of each cylinder with the given dimensions. Round your answer to the nearest hundredth.
a) R=8.1 cm H= 4 cm
b) R= 9m H= 23.5m

Click here to see answer by checkley77(12569)

Question 182933: Please I need help with: quintun was solving a quadestic equation in the form ax^2+bx+c=0 using the quadestic formula. He made the mistake, however, of switching a and c in the formula and and as a result he got answers that were 3 times the correct answer. Find the product of the roots of the quadratic equation
Click here to see answer by Edwin McCravy(8908)

Question 183004: This is my last question and I really need some help! Please I thank you.

8. The platform of the Taj Mahal in India is a rectangular prism. It is 95 m long,95 mwide and 7 m high. Find the surface area of the platform.
Click here to see answer by stanbon(57308)

Question 183006: f(-3) = 2x squared - 7x + 3
Click here to see answer by jim_thompson5910(28593)

Question 183001: 3. If three lines all meet in a single point, how many pairs of vertical angles are formed ?
Click here to see answer by Alan3354(30993)

Question 183021: 2xSquard - 3x - 2= 0
Click here to see answer by jim_thompson5910(28593)

Question 183094: x²+3x-10=0
Click here to see answer by jim_thompson5910(28593)

Question 183093: 2x²-x=15
Click here to see answer by jim_thompson5910(28593)

Question 183126: 2x squared + x -21=0
Click here to see answer by nerdybill(6958)

Question 183126: 2x squared + x -21=0
Click here to see answer by KADINE(2)

Question 183220: The yellow bus stops at a bus stop every 15 minutes. The blue bus stop at the same bus stop every 20 minutes. If both buses reach the bus stop at 8:30 a.m., what is the next time both the yellow and blue buses will reach the bus stop at the same time?
Click here to see answer by jim_thompson5910(28593)

Question 183292: 3x-8is greater than or equal12-x
Click here to see answer by jim_thompson5910(28593)

Question 183291: X2-3x-10=0
Click here to see answer by jim_thompson5910(28593)

Question 183304: The path of a falling object is given by the function s=-16t^+v*t+s
If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25ft building, write the height equation using this information
a. how highis the rock after 1 second
Click here to see answer by jim_thompson5910(28593)

Question 183237: Simplify the expression. Assume all variables are positive. Leave answer in radical form, no decimals. Let f(x)=16-x^2 and g(x)=4-x. Find f(x)-g(x)
Click here to see answer by edjones(7569)

Question 183395: A rectangular parcel of land is 70 feet longer than it is wide. Each diagonal is 130 feet long. What are the dimensions of the parcel?
I know you have to use the pythagorean theorem but I have no clue what to do. Please help! :)
Click here to see answer by jim_thompson5910(28593)

Question 183465: (x - 3)^2 + (x + 2)^2 = 17
I need help solving this problem
Click here to see answer by jim_thompson5910(28593)

Question 183517: can you please help me to answer this question i need to finish this
0=4x2-25

Click here to see answer by mueez alam(2)

Question 183541: 12x^2 + 12x -9= 0
answer: x= -3/2 or 1/2

how did my text book get this answer i tought there was going to be a 4 involved because 4 .3 is 12
Click here to see answer by Alan3354(30993)

Question 183585: 4x(squared) - 25 = 0
Click here to see answer by checkley77(12569)

Question 183609: A 2" square is cut from each corner of a rectangler piece of sheet metal. The metal is bent up to form a box with no top. The length of the box is 5" more than the width. The volume of the box is 168 in^3.
Find: the surface area of the box?
note: Define var. define other quantities as needed, write a quadratic equation in one var., solve.
Click here to see answer by josmiceli(9671)

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