Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1189856: 5x-2y=46 & -2x+2y=-16
Click here to see answer by MathLover1(20849)

Question 1189918: The graph of a certain quadratic y = ax^2 + bx + c is a parabola with vertex (-4,0) which passes through the point (1,-75). What is the value of a?
Click here to see answer by MathLover1(20849)

Question 1189921: what is the vertex of -X^2+2x-3
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Question 1189921: what is the vertex of -X^2+2x-3
Click here to see answer by Boreal(15235)

Question 1189964: 1. If r varies directly as s and inversely as the square of u, and r = 2 when s = 18 and u= 2, find:
a. r when u = 3 and s =27.
b. s when u = 2 and r = 4.
c. u when r = 1 and s = 36.
please show your solution.
Click here to see answer by ikleyn(52776)

Question 1189966: The force of attraction, F of a body varies directly as its mass m and inversely as the square of the distance d from the body. When m = 8 kilograms and d = 5 meters, F = 100 Newtons. Find F when = 2 kilograms and d = 15 meters
please show your solution.
Click here to see answer by greenestamps(13198)

Question 1189965: The current I varies directly as the electromotive force E and inversely as the resistance R. If in a system a current of 20 amperes flows through a resistance of 20 ohms with an electromotive force of 100 volts, find the current that 150 volts will send through the system.
please show your solution.
Click here to see answer by ikleyn(52776)

Question 1189986: Have I determined the correct discriminant using b^2- 4ac to determine the nature of the roots to the 3 equations below? (Determined the nature of the roots of the below quadratic equations)
Equation 1:
x^2 + 5x + 8 = 0 This one has 2 complex roots
Equation 2:
3x^2 + x - 1 = 0 This one has 2 real roots
Equation 3:
x^2 - 4x = -8 This one has 2 complex roots
Thank you
Click here to see answer by MathLover1(20849)

Question 1190033: Did I get the correct answer on finding the quadratic equation when having the given roots below:
Given roots (-3, 1) - I come up with equation x^2 + 2x - 3 = 0 - Is this correct equation?
Also, could you show me step by step how to obtain equations for the 2 known roots below:
Known Roots = (1/5, 1/2) - steps to find equation on this one.
Known Roots = (1 + Radicand 2, 1 - Radicand 2) - steps to find equation on this one.
Thank you

Click here to see answer by ikleyn(52776)

Question 1190038: Did I come up with the correct quadratic equations to the given roots below:
Givem roots (1/5, 1/2) = x^2 - 7x/10 + 1/10 = 0
Given roots (1 + Radicand 2, 1 - Radicand 2) = x^2 - 2x - 1 = 0
Thank you
Click here to see answer by ikleyn(52776)

Question 1190154: Xin owns a business with 100 employees. He is downsizing his workforce and has determined for every two employees he terminates he can increase the pay of the remaining employees by $2000 each. He currently has 100 employees with an average pay of $50,000 each. Calculate the maximum amount his payroll could be if he begins terminating employees (i.e. find the maximum of the quadratic equation you create with the given information)
Click here to see answer by ikleyn(52776)

Question 1190224: Solve 5x^2 -11x-124=0 using the quadratic equation. I worked it out but not sure if my answer is right

Click here to see answer by Edwin McCravy(20054)

Question 1190224: Solve 5x^2 -11x-124=0 using the quadratic equation. I worked it out but not sure if my answer is right

Click here to see answer by math_tutor2020(3816)

Question 1190224: Solve 5x^2 -11x-124=0 using the quadratic equation. I worked it out but not sure if my answer is right

Click here to see answer by ikleyn(52776)

Question 1190232: I was solving 10x^2-16=0 using the quadratic formula.
I got x=1.247219129 and x=-1.247219129
How many decimal places do I need to use for my answer?
Click here to see answer by math_tutor2020(3816)

Question 1190465: Complete the square to write the following quadratic functions in vertex form. Use algebra tiles to illustrate and annotate each step of the completing the square process and include pictures here. You can use sentences to describe why the pictures and process makes sense.
y= -x^2 + 10x + 3
I already know that it can be presented as y = -(x-5)^2 - 22, but I got to that algebraically using equations. Could you help get to the solution using algebra tiles?
Click here to see answer by ikleyn(52776)

Question 1190473: Paul and Joan wish to buy floor covering that covers 150 square feet for their large recreation room. They wish to cover a rectangle that is 5 feet longer than it is wide. How wide should the rectangle be?
Click here to see answer by ikleyn(52776)

Question 1190396: A land was bought for an amount of (4X^3 -4X^2 -15X +18) Dollars with a price per square meter of (X + 2) Dollars. the enclosure built in the middle of the land has a total area of (2X^2 -6X - 56) square meters.
With X being a whole number, and less than 100 meters were used to fence the total area of the land and the enclosure (combined), find the possible dimensions of the land and the enclosure.
Click here to see answer by greenestamps(13198)

Question 1190530: Two companies working together can clear a parcel of land in 26 hours. Working alone, it would take Company A 2 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.)
Click here to see answer by math_tutor2020(3816)

Question 1190538: Find the quadratic function y=a(x−h)2 whose graph passes through the given points.
(4,−2) and (2,0)
Click here to see answer by ikleyn(52776)

Question 1190538: Find the quadratic function y=a(x−h)2 whose graph passes through the given points.
(4,−2) and (2,0)
Click here to see answer by Alan3354(69443)

Question 1190538: Find the quadratic function y=a(x−h)2 whose graph passes through the given points.
(4,−2) and (2,0)
Click here to see answer by greenestamps(13198)

Question 1190574: Factorize 2a⁴b^6-3a²b²-20
Click here to see answer by math_tutor2020(3816)

Question 1190574: Factorize 2a⁴b^6-3a²b²-20
Click here to see answer by Alan3354(69443)

Question 1191066: In a flagpole, a 10-meter rope is attached to the top of the pole from a point on the field. If the rope is 8 meters away from the base, how high is the pole?
Click here to see answer by ikleyn(52776)

Question 1191077: Normally a factory produces 400 radios in x days. IF the factory were to produce 20 more radios each day, then it would take 10 days less to produce 400 radios. find x
Click here to see answer by ikleyn(52776)

Question 1191079: A square plot of land is covered with cement costing $8/m^2 and a fence surrounding it costs $10/m. If the total cost is $8400, find the area of the plot
Click here to see answer by Alan3354(69443)

Question 1191078: In figure PQRS is a rectangle (https://studylib.net/doc/25517532/adv-ex-08-equations), refer to question 9 diagram except: 16cm is not given and x=BP. ABC is a triange in which AB=AC=12cm and angle of A is 90 degrees.
a) if BP=CQ+x cm, express PQ and PS in terms of x
b) hence or otherwise, show that area of PQRS is (12x-x^2)cm^2
c) if the area of PQRS is 32cm^2, find the values of x
Click here to see answer by Solver92311(821)

Question 1191741: -6w^2-14w+2=0
State the values of a,b,c in the standard form of a quadratic equation.
Click here to see answer by greenestamps(13198)

Question 1191806: Which quadratic function is best represented by the graph?https://static.k12.com/nextgen_media/assets/1512578-IM3_140718_060106.jpg
Click here to see answer by josgarithmetic(39616)

Question 1191804: Which quadratic function in vertex form has a vertex at (−3, 5) and passes through the point (1, −3)?
Click here to see answer by josgarithmetic(39616)

Question 1191805: Which quadratic function in vertex form has a vertex at (6, −3) and passes through the point (8, −2)?
Click here to see answer by josgarithmetic(39616)

Question 1191802: Please help me solve the following questions:
a. 1/x+1+2/x-2
b. Write down the sums and products of the roots of the following equations
(a). ax^2-x(a+2)-a=0
(b). X-1/2=3/x+2
Click here to see answer by Alan3354(69443)

Question 1191817: The demand equation for a certain product is given by
p=100−0.045x, where
p is the unit price (in dollars) of the product and
x is the number of units produced. The total revenue obtained by producing and selling
x units is given by R=xp
.
Determine prices
p
that would yield a revenue of 5910 dollars.
Lowest such price =

Highest such price =
Click here to see answer by ankor@dixie-net.com(22740)

Question 1191997: The height, h meters, of an infeild fly ball t secnds after being hit is given by the formula h=30t-5t^2, (hint: change the equation to factor form)
a. How long does it take that ball to reach its heightest point
b. How high will the ball reach?
c. Foe how long was the ball in the air?
d. After how many seconds does the ball hit the ground?
Click here to see answer by Boreal(15235)

Question 1192285: The difference between two numbers is 40. They are in the ratio 9:7. Find the numbers.
Click here to see answer by Alan3354(69443)

Question 1192347: A man throws a rock in a 100 ft-deep with a speed of 5 ft/s

Click here to see answer by Alan3354(69443)

Question 1192438: The band is holding a dance to raise money. They have found an equation that models their profits p(t)=-16t^2+800t-4000 where t is the ticket price in dollars. When tickets are sold at $10, what is the profit?
Click here to see answer by ikleyn(52776)

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