Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1110148: The length of a rectangle is 2 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions of the rectangle?
Click here to see answer by jorel1380(3719)

Question 1110269: A= { }
B= {x / x is a word that begins with G}
Click here to see answer by ikleyn(52748)

Question 1110291: With the given parabola and slope of a line that is tangent to the parabola, find the y-int of the tangent line.
f(x)=2x^2+2x-5, tangent line has slope 1
Click here to see answer by stanbon(75887)

Question 1110458: Suppose that the profit T(x), in dollars, of producing and selling x microwave ovens is given by T(x)=-3x^2+240x-1,800
How many microwaves must be produced and sold to achieve a profit of $3,000?
Click here to see answer by ikleyn(52748)

Question 1110461: Find the discriminant and give the number of real solutions.
2x^2-x+5=0
Click here to see answer by Alan3354(69443)

Question 1110460: find the value of the discriminant and give the number of real solutions.
4p^2+12p+9=0
Click here to see answer by Alan3354(69443)

Question 1110459: Find the value of the discriminant and give the number of real solutions.
3x^2+8x=0
Click here to see answer by Alan3354(69443)

Question 1110465: For the quadratic equation, find the value of the discriminant and give the number of real solutions.
3x^2+8x=0
Click here to see answer by Alan3354(69443)

Question 1110465: For the quadratic equation, find the value of the discriminant and give the number of real solutions.
3x^2+8x=0
Click here to see answer by ikleyn(52748)

Question 1110482: A ball is thrown upward into the air with an initial velocity of 64 ft/s. If h gives the height of the ball at the time t, then the equation relating h and t is
h=-16t^2+64t
Find the maximum height the ball will attain.
Click here to see answer by josmiceli(19441)

Question 1110480: A company's monthly profit P is related to the number of items sold by P(x)=-0.2x^2+50x-800. How many items should be sold each month to obtain the largest possible profit? what is the amount of that profit?
Click here to see answer by josgarithmetic(39613)

Question 1110509: Charley pays $4.00 to play a game in which he flips two coins. If both coins land on heads, he wins $10.00. If the coins land any other way, he will loose the $4.00 he paid to play. What is the expected value to Charley for this game?
Click here to see answer by Boreal(15235)

Question 1110508: P(E) is the probability of an event E occurring and O(E) is the odds for an event E occurring.
If O(E)= 3:7, find P(E)
Click here to see answer by Boreal(15235)

Question 1110500: Determine a quadratic function for y = ax^2+bx+c if its graph passes through the point (2,19) and it has a horizontal tangent at (-1,-8).
I would appreciate it if someone could help me with this!
Click here to see answer by josmiceli(19441)

Question 1110506: At many airports, a person can buy a $30 insurance policy that eould cover the cost of their ticket if any changes are made. There is a 7% chance that you should be reimbursed $500 because of a flight change. What is your expected gain or loss? Should you buy the insurance?
Click here to see answer by stanbon(75887)

Question 1110552: The area of a rectangular enclosure is given by the function A(w)=-2w^2 + 48w, where A(w) is the area in square meters and w is the width of the rectangle in meters.
a) What values of w given an area of 0?
b) what is the maximum area of the enclosure?
Click here to see answer by josgarithmetic(39613)

Question 1110555: A company manufactures snowboards. The company uses the function P(x)= 324x - 54x to model it's prfit, where P(x) is the proft in thousands of dollars and x is the number of snowboards sol, in thousands
A? how many snowboards must be sold for the company to break even?
b? how many snowboards must be sold for the company to be profitable?
Click here to see answer by ikleyn(52748)

Question 1110507: There are 205 raffle tickets sold at a school charity event. The event will award three prizes. First prize is paid tuition for a year, second prize is a new computer, and third prize is a prepaid phone. How many ways can the prizes be awarded?
Click here to see answer by Fombitz(32388)

Question 1110717: H=16t^2+181t+16 when y he height be 282 feet

Click here to see answer by Boreal(15235)

Question 1110724: Marko invested $300 000 in stocks, bonds and a savings account at the rates shown on the right. (stocks=15%, bonds=10%, savings=4%). He invested 4 times as much in stocks as he invested in the savings account. After one year, he earned $35 600 in interest. How much money did he put into each type of investment?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1110730: A ball is dropped from a cliff that is 416 feet high. The distance S (in feet) that it falls in t seconds is given by the formula Sequals16tsquared. How many seconds (to tenths) will it take for the ball to hit the ground?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1110791: Suppose John Buys a chocolate and an ice cream. How much, in terms of x, does he pay for them?
Click here to see answer by ikleyn(52748)

Question 1110790: Suppose an ice cream cost twice as much as a chocolate. if the ice cream costs x rand, how much, in terms of x, does the chocolate cost?
Click here to see answer by ikleyn(52748)

Question 1110766: The price p and the quantity x sold of a certain product obey the demand equation below.
x equals negative 2 p plus 40 comma 0 less than or equals p less than or equals 20x=−2p+40, 0≤p≤20

(a)
Express the revenue R as a function of x.
(b)
What is the revenue if 44 units are sold?
(c)
What quantity x maximizes revenue? What is the maximum revenue?
(d)
What price should the company charge to maximize revenue?
(e)
What price should the company charge to earn at least $192 in revenue?
Click here to see answer by Theo(13342)

Question 1110825: graph y=x^2-2x
Click here to see answer by josgarithmetic(39613)

Question 1111017: how can I determine if the graph goes upward or downward example
y=-2x^2+12x-22
Click here to see answer by josgarithmetic(39613)

Question 1111017: how can I determine if the graph goes upward or downward example
y=-2x^2+12x-22
Click here to see answer by Theo(13342)

Question 1111126: When a number is squared and then multipled by 6, the result is one more than the original number. Find the number
Click here to see answer by ankor@dixie-net.com(22740)

Question 1111308: The difference of two positive numbers is six. Their product is 223 less than the sum of their squares. What are the two numbers?

Click here to see answer by josgarithmetic(39613)

Question 1111319: q is a degree 5 polynomial that passes through the origin, has zeros i and 7−i, and q(3)=1530. Find the equation for q.
Click here to see answer by ikleyn(52748)

Question 1111333: At what value of x is the vertex of the parabola with equation y = −2 x 2 − 8 x + 3 located?
Click here to see answer by Alan3354(69443)

Question 1111394: A scientist wants to research the potential spread of germs by contact. She knows that the number of possible handshakes within a group of n people is given by the equation
Upper N equals one half left parenthesis n squared minus n right parenthesis .
N=1/2 (n2−n). There are 99 people at a party. How many handshakes are�possible?
please give answer
Click here to see answer by ikleyn(52748)

Question 1111428: x^+6x-2=0
Click here to see answer by Fombitz(32388)

Question 1111452: 3. A model rocket is launched from the ground with an initial velocity of 352 ft/sec.
e. How long will it take the rocket to reach its maximum height? Show all work in the space provided.

f. Assume the model rocket�s parachute failed to deploy and the rocket fell back to the ground. How long would it take the rocket to return to Earth from the time it was launched? Show all work in the space provided.

Click here to see answer by ikleyn(52748)

Question 1111475: One company can clear a parcel of land in 25 hours. Another company requires 30 hours to do the job. If both are hired, how long with it take to clear the parcel working together?
Click here to see answer by stanbon(75887)

Question 1111514: A ball is thrown up into the air. Its height h above the ground in feet is modeled by the equation
h = −16t(squared) + 24t + 5, where t is the time in seconds after the ball is thrown. Complete the square to determine the
ball�s maximum height and the amount of time the ball takes to reach that height. Could this ball land on the
roof of a 20-foot-tall building? Show your work.
Click here to see answer by ikleyn(52748)

Question 1111567: How to factor the following: 16x^2 + 16y - y^2 - 64. Most interested in figuring how to get three numbers as a factor instead of 2.
Click here to see answer by Alan3354(69443)

Question 1111590: The function f(x) = 2x^2 - bx + 23 has a minimum value of 5. Find the value of b.
Click here to see answer by josgarithmetic(39613)

Question 1111930: A certain wood stove has a firebox volume of 0.430 m3. What firebox volume would be expected if all dimensions of the stove were increased by a factor of 1.29?
Round your answer to 3 significant digits.
Click here to see answer by Alan3354(69443)

Question 1111929: Each side of a square is increased by 25.0 mm, and the area is seen to increase by 2490 mm2. What were the dimensions of the original square?
Round your answer to 1 decimal place.
h =
Click here to see answer by josgarithmetic(39613)

Question 1111931: Transformer turns ratio: For the transformer, the ratio of the number of turns in the secondary winding to the number of turns in the primary winding is 25. The secondary winding has 6750 turns. Find the number of turns in the primary.

Click here to see answer by Alan3354(69443)

Question 1112020: 3x�-4x-8=-6

Click here to see answer by Boreal(15235)

Question 1112020: 3x�-4x-8=-6

Click here to see answer by addingup(3677)

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