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Question 1146313: A quadratic equation has roots and .
If and , find an expression for the equation in the form .
Click here to see answer by math_helper(2461)

Question 1146314: Given that and are the roots of the equation , show that .
Click here to see answer by KMST(5328)

Question 1146314: Given that and are the roots of the equation , show that .
Click here to see answer by MathTherapy(10549)

Question 1146471: Writing a quadratic function given its zeros
Write a quadratic function, h, whose zeros are 3 & -8.
Click here to see answer by richwmiller(17219)

Question 1146530: How do you complete the square for
Thank you!
Click here to see answer by rothauserc(4718)

Question 1146570: To commemorate the 100th anniversary of the Nortonville Fair, an entrance arch will be built. The design engineer uses the equation 𝒉 = −𝒅𝟐 + 𝟏𝟔 to model the arch, where 𝒉 is the height, in metres, above the ground and 𝒅 is the horizontal distance, in meters, from the center of the arch. How wide and how tall is the arch?

Click here to see answer by josmiceli(19441)

Question 1146573: the tens digits of a certain number is 7 less than the u digit .the sum ofnits the squares of the two digits is 85.find the number.with justification
Click here to see answer by richwmiller(17219)

Question 1146604: Lee spent $1200 on holiday.Iff he had spent $50 less per day,he could have stayed an extra two days.How long was his holiday?
Click here to see answer by richwmiller(17219)

Question 1146604: Lee spent $1200 on holiday.Iff he had spent $50 less per day,he could have stayed an extra two days.How long was his holiday?
Click here to see answer by MathTherapy(10549)

Question 1146604: Lee spent $1200 on holiday.Iff he had spent $50 less per day,he could have stayed an extra two days.How long was his holiday?
Click here to see answer by greenestamps(13195)

Question 1146602: A rhombus has a side length equal to one of the diagonals.The other diagonal is 4c .Find the area of the rhombus.
Click here to see answer by greenestamps(13195)

Question 1146646: Peter has 240 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
A rectangle that maximizes the enclosed area has a length of
nothing yards and a width of
nothing yards.

Click here to see answer by josgarithmetic(39613)

Question 1146688: What the answer of this problem f(x)=-x²-2x-3
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Question 1146702: A community group holds a dance every few months. It costs $5 to get into the dance and usually 300 people attend. According to the surveys, the group has conducted, for every $0.50 increase in the price of admission, 15 fewer people will go to the dance. The revenue for holding a dance is modeled by the function R(x)= (300-15x)(5+0.50x), where the x is the number for $0.50 increases in price Determine the maximum revenue and the admission price that must be charged to earn it.
Click here to see answer by greenestamps(13195)

Question 1146763: A party rental company has chairs and tables for rent. The total cost to rent 3
chairs and 5
tables is $37
. The total cost to rent 12
chairs and 2
tables is $31
. What is the cost to rent each chair and each table?
Click here to see answer by josgarithmetic(39613)

Question 1146784: A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8%
vinegar, and the second brand contains 14%
vinegar. The chef wants to make 330
milliliters of a dressing that is 9%
vinegar. How much of each brand should she use?
Click here to see answer by josgarithmetic(39613)

Question 1146861: 4x^2=3x
Click here to see answer by ikleyn(52748)

Question 1146861: 4x^2=3x
Click here to see answer by josgarithmetic(39613)

Question 1146861: 4x^2=3x
Click here to see answer by richwmiller(17219)

Question 1146996: Find a formula for the quadratic function whose graph has its vertex at (3,8) and its y-intercept at y=2
Click here to see answer by josgarithmetic(39613)

Question 1146996: Find a formula for the quadratic function whose graph has its vertex at (3,8) and its y-intercept at y=2
Click here to see answer by josmiceli(19441)

Question 1147079: What is the solution set to this equation, and what are the steps you use to solve it? Thanks in advance.
Click here to see answer by ikleyn(52748)

Question 1147079: What is the solution set to this equation, and what are the steps you use to solve it? Thanks in advance.
Click here to see answer by josgarithmetic(39613)

Question 1147113: i have an Quadratic Equation : 3x^2-x +2 = 0 D < 0
Kindly solve it and draw a graph of this Quadratic Equation
My Email : joyguruinternational@gmail.com

Click here to see answer by ikleyn(52748)

Question 1147123: Find the vertex, axis or symmetry, domain, range, x and y intercepts, and determine whether the function has a maximum or minimum.
g(x) = 4x^2 - 4x + 3
Click here to see answer by Alan3354(69443)

Question 1147176: Write a quadratic function in standard form with zeros 6 and -1

Click here to see answer by Boreal(15235)

Question 1147176: Write a quadratic function in standard form with zeros 6 and -1

Click here to see answer by josgarithmetic(39613)

Question 1147315: Suppose the height h of an object thrown straight upward from the ground is given by
h = 44.1t - 4.9t2, where h is in meters and t is the elapsed time in seconds.
When is the object at a height of 88.2 m as it moves up? Write the exact answer WITHOUT units.
Click here to see answer by greenestamps(13195)

Question 1147346: Solve 2x2 - x - 6 = 0 by completing the squares.

Click here to see answer by Alan3354(69443)

Question 1147468: 3x - 1/2y + 2 2/3y - 5/6x

Click here to see answer by Alan3354(69443)

Question 1147501: An open box is made from a 30-cm by 40-cm piece of tin by cutting a square from each corner and folding up the edges. The area of the resulting base is 336 cm2. What is the length of the sides of the squares?
Click here to see answer by josgarithmetic(39613)

Question 1147545: The side of a right angle triangle in ascending order of magnitude are 8cm, -2 and xcm. Find x
Click here to see answer by greenestamps(13195)

Question 1147547: A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and father now.
Click here to see answer by josgarithmetic(39613)

Question 1147582: The following formula models the number of prison inmates, P, in thousands, who are in U.S. prisons x years after 1980.
P=2x^2+16x+320

Find the first year in which the population of U.S. prisons was approximately 800 thousand people.
The population reached 800 thousand people in the year ______
Click here to see answer by Alan3354(69443)

Question 1147580: A rectangle is drawn so the width is 9 inches longer than the height. If the rectangle's diagonal measurement is 45 inches, find the height.
Give your answer rounded to 1 decimal place.

Click here to see answer by Alan3354(69443)

Question 1147598: The difference of two numbers is 2 and their product is 224. What are the numbers?
Click here to see answer by ikleyn(52748)

Question 1147597: The length of a rectangle is 8 units greater than its width. Find the dimensions when its area is 105 square units.
Click here to see answer by ikleyn(52748)

Question 1147596: When a number is added to its square, the result is 6. What is the number?
Click here to see answer by ikleyn(52748)

Question 1147595: One leg of a right triangle exceeds the other leg by 4 inches. The hypotenuse is 20 inches. Find the length of a longer leg.
Click here to see answer by ikleyn(52748)

Question 1147594: The hypotenuse of a right triangle is 4 times one of the legs. The other leg is 3√15 units. Find the length of the hypotenuse.

Click here to see answer by ikleyn(52748)

Question 1147627: The product of two consecutive integers is 72. Find the integers and show work.
Click here to see answer by josgarithmetic(39613)

Question 1147628: The sum of two numbers is 25 and the sum of their squares is 337. Find the numbers.
Click here to see answer by josgarithmetic(39613)

Question 1147628: The sum of two numbers is 25 and the sum of their squares is 337. Find the numbers.
Click here to see answer by ikleyn(52748)

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