Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1204276: The number of feet it takes for a car traveling at x miles per hour to stop on dry, level concrete is given by the polynomial 0.007*x^(2)+0.5*x. Find the stopping distance when x=20 mph.
The stopping distance at x=20 mph is feet.
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Question 1204284: Write a quadratic function f whose zeros are -12 and -3.
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Question 1204284: Write a quadratic function f whose zeros are -12 and -3.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1204340: write the quadratic equation whose roots are -4 and 6, and whose leading coefficient is 1.
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Question 1204340: write the quadratic equation whose roots are -4 and 6, and whose leading coefficient is 1.
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Question 1204346: determine the shortest distance from the point e(1,-4) to the line through points of(-5'2) and g(3,4)
Click here to see answer by josgarithmetic(39616) About Me 
Question 1204346: determine the shortest distance from the point e(1,-4) to the line through points of(-5'2) and g(3,4)
Click here to see answer by mananth(16946) About Me 
Question 1204346: determine the shortest distance from the point e(1,-4) to the line through points of(-5'2) and g(3,4)
Click here to see answer by greenestamps(13198) About Me 
Question 1204349: Solve for x using the quadratic formula:
f(x) = -3x2 + x + 1
Click here to see answer by ikleyn(52775) About Me 
Question 1204349: Solve for x using the quadratic formula:
f(x) = -3x2 + x + 1
Click here to see answer by MathLover1(20849) About Me 
Question 1204368: What number goes under the radical when solving this equation with the quadratic formula?
2x^2 - 4x - 30 = 0
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Question 1204368: What number goes under the radical when solving this equation with the quadratic formula?
2x^2 - 4x - 30 = 0
Click here to see answer by josgarithmetic(39616) About Me 
Question 1204368: What number goes under the radical when solving this equation with the quadratic formula?
2x^2 - 4x - 30 = 0
Click here to see answer by ikleyn(52775) About Me 
Question 1204393: What is the quadratic equation of 6x^2-8xy-8y^2 ?
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Question 1204393: What is the quadratic equation of 6x^2-8xy-8y^2 ?
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Question 1204421: Cynthia Besch wants to buy a rug for a room that is 27ft wide and 35ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 609 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by ikleyn(52775) About Me 
Question 1204421: Cynthia Besch wants to buy a rug for a room that is 27ft wide and 35ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 609 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by math_tutor2020(3816) About Me 
Question 1204421: Cynthia Besch wants to buy a rug for a room that is 27ft wide and 35ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 609 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by josgarithmetic(39616) About Me 
Question 1204421: Cynthia Besch wants to buy a rug for a room that is 27ft wide and 35ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 609 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by MathLover1(20849) About Me 
Question 1204421: Cynthia Besch wants to buy a rug for a room that is 27ft wide and 35ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 609 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1204421: Cynthia Besch wants to buy a rug for a room that is 27ft wide and 35ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 609 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by greenestamps(13198) About Me 
Question 1204489: A manufacturer of stereo sound speakers has found that the revenue received from selling the speakers at a cost of p dollars each is given by the polynomial -3p^(2)+610p. Find the revenue received when p=70 dollars.
Revenue received when p=70 dollars is dollars
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Question 1204485: A soccer ball is kicked off the ground into the air and reaches its maximum height after 2 seconds. After 1 second the height of the ball is 15 feet off the ground. Write a quadratic equation in vertex form to model this situation.
Click here to see answer by ikleyn(52775) About Me 
Question 1204511: A manufacturer of stereo sound speakers has found that the revenue received from selling the speakers at a cost of p dollars each is given by the polynomial -3 p^2 + 630 p. Find the revenue received when p = 70 dollars.
Revenue received when p = 70 dollar is dollars
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Question 1204626: In a shop, the price of a monthly magazine is $m and the price of a weekly magazine is $(m-0.75). One day, the shop receives $168 from selling monthly magazines and $207 from selling weekly magazines. The total number of these magazines sold during this day is 100. Calculate the number of weekly and monthly magazines sold.
Click here to see answer by mananth(16946) About Me 
Question 1204651: how are these the same?
4x + 2 = 10 and 4x = 8
Click here to see answer by josgarithmetic(39616) About Me 
Question 1204651: how are these the same?
4x + 2 = 10 and 4x = 8
Click here to see answer by Theo(13342) About Me 
Question 1204653: Solve the equation: p^2+20p+99 = 0
If there is a solution, enter as an integer or reduced fraction. If there are multiple solutions, separate them using commas. For no solutions, click No solution.
Click here to see answer by Alan3354(69443) About Me 
Question 1204653: Solve the equation: p^2+20p+99 = 0
If there is a solution, enter as an integer or reduced fraction. If there are multiple solutions, separate them using commas. For no solutions, click No solution.
Click here to see answer by mananth(16946) About Me 
Question 1204682: k^3-6k^2-k+6 = 0
Enter any solution as an integer or reduced fraction (not a mixed number or decimal), using a comma if there is more than one solution. If there is no solution, click No solution. Suggestion: Check any solution(s) in the original equation before submitting answer.
Click here to see answer by mananth(16946) About Me 
Question 1204682: k^3-6k^2-k+6 = 0
Enter any solution as an integer or reduced fraction (not a mixed number or decimal), using a comma if there is more than one solution. If there is no solution, click No solution. Suggestion: Check any solution(s) in the original equation before submitting answer.
Click here to see answer by MathLover1(20849) About Me 
Question 1204760: The length of a rectangle exceeds its width by 4 inches. find the dimensions of the rectangle if the area is 12 square inches
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Question 1204761: A rectangular lawn that is 1m by 3m in size is surrounded by a flowerbed of uniform width. the combined area of the lawn and flowerbed is 195m². what is the width of the flowerbed
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Question 1204761: A rectangular lawn that is 1m by 3m in size is surrounded by a flowerbed of uniform width. the combined area of the lawn and flowerbed is 195m². what is the width of the flowerbed
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Question 1204789: Find the perimeter of a right triangle whose hypotenuse is 2 and whose area is 1.
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Question 1204789: Find the perimeter of a right triangle whose hypotenuse is 2 and whose area is 1.
Click here to see answer by mananth(16946) About Me 
Question 1204789: Find the perimeter of a right triangle whose hypotenuse is 2 and whose area is 1.
Click here to see answer by ikleyn(52775) About Me 
Question 1204859: Using the Sharp-516 calculator’s EQUATION mode to Graph y= ax^2+bx-2.5 for some value of a and b gives the information shown below.
Graph the equation on the grid. Label the x-intercept(s), y-intercept(s), and vertex on the graph as ordered pairs if they exist. Round to three significant digits.

X=
1: 2.933997741
2: -7.100664408
X-value: -2.083333333
Ymin: -3.020833333
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Question 1205054: a ball dropped from the top of the tower. A can be modeled by the function h(t)=-9.8t^2+400 and a ball dropped from the top of tower B can be modeled by the function h(t)=-9.8t^2+200, where t is the time in seconds after the ball is dropped and h(t) is its height in meters at that time.
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Question 1205054: a ball dropped from the top of the tower. A can be modeled by the function h(t)=-9.8t^2+400 and a ball dropped from the top of tower B can be modeled by the function h(t)=-9.8t^2+200, where t is the time in seconds after the ball is dropped and h(t) is its height in meters at that time.
Click here to see answer by ikleyn(52775) About Me 
Question 1205055: a ball dropped from the top of the tower. A can be modeled by the function h(t)=-9.8t^2+400 and a ball dropped from the top of tower B can be modeled by the function h(t)=-9.8t^2+200, where t is the time in seconds after the ball is dropped and h(t) is its height in meters at that time.
what transformation describes the change from the graph A to graph B?
What does this transformation mean in terms of this situation?

Click here to see answer by math_tutor2020(3816) About Me 
Question 1205055: a ball dropped from the top of the tower. A can be modeled by the function h(t)=-9.8t^2+400 and a ball dropped from the top of tower B can be modeled by the function h(t)=-9.8t^2+200, where t is the time in seconds after the ball is dropped and h(t) is its height in meters at that time.
what transformation describes the change from the graph A to graph B?
What does this transformation mean in terms of this situation?

Click here to see answer by ikleyn(52775) About Me 
Question 1205137: The length of a basement is 2 less than 3 times the width. The Perimeter is 80 feet. Find the length and width.
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Question 1205137: The length of a basement is 2 less than 3 times the width. The Perimeter is 80 feet. Find the length and width.
Click here to see answer by MathLover1(20849) About Me 
Question 1205147: The area of a rectangle is 12cm^2. Find the range of possible values of the width of the rectangle if the diagonal is more than 5cm.
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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