Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1162603: the length of a patio garden is 11ft longer than it is wide. if the garden is 20ft long, what is its width
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Question 1162659: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $1600, which was to be divided equally among the members going. Prior to the trip, 15 members decided not to go. If the cost per person increased by $24, how many people went on the expedition?
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Question 1162659: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $1600, which was to be divided equally among the members going. Prior to the trip, 15 members decided not to go. If the cost per person increased by $24, how many people went on the expedition?
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Question 1162661: Two companies working together can clear a parcel of land in 8 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.)

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Question 1162661: Two companies working together can clear a parcel of land in 8 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.)

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Question 1162682: Two companies working together can clear a parcel of land in 13 hours. Working alone, it would take Company A 10 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.
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Question 1162682: Two companies working together can clear a parcel of land in 13 hours. Working alone, it would take Company A 10 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.
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Question 1162699: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $3200, which was to be divided equally among the members going. Prior to the trip, 15 members decided not to go. If the cost per person increased by $48, how many people went on the expedition?
Click here to see answer by ikleyn(52754) About Me 
Question 1162699: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $3200, which was to be divided equally among the members going. Prior to the trip, 15 members decided not to go. If the cost per person increased by $48, how many people went on the expedition?
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Question 1162729: Two companies working together can clear a parcel of land in 15 hours. Working alone, it would take Company A 10 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 ikleyn(52754) About Me 
Question 1162729: Two companies working together can clear a parcel of land in 15 hours. Working alone, it would take Company A 10 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.)
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Question 1162732: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14 meters long. If the distance from the top of the tree to the end of the shadow is x+4 meters long, what is the height, x, of the tree?
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Question 1162832: x^2 - 2x +1 - 100y^4 = ?
Answer Choices:
a) (100y^2 + x - 1)(-100y^2 + x - 1)
b) (x^2 - 3x)(1 - 100y^4)
c) (3x + 1)(x^2 - 100y^4)
d) x(x-3) -1(1 - 100y^4)

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Question 1162832: x^2 - 2x +1 - 100y^4 = ?
Answer Choices:
a) (100y^2 + x - 1)(-100y^2 + x - 1)
b) (x^2 - 3x)(1 - 100y^4)
c) (3x + 1)(x^2 - 100y^4)
d) x(x-3) -1(1 - 100y^4)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1162859: Imagine you are set designer for Universal Studios movie company. You plan movie sets using freehand sketches and your computer. In one scene, a banner will hang across a parabolic archway. To make it look interesting, you have decided to put the banner at an angle along a line defined by the linear equation y = 0.6x+ 3.8, with x representing the horizontal distance and y the vertical distance in metres, from the foot of the archway. The archway is modelled by the quadratic equation y = - 0.27x^2+ 3.04x.
a) How can you use the equations to determine the points where the banner needs to be attached to the archway? You can use Technology or the grid below to help with your explanation.


















b) What would be the length of the banner?











Click here to see answer by Alan3354(69443) About Me 
Question 1162859: Imagine you are set designer for Universal Studios movie company. You plan movie sets using freehand sketches and your computer. In one scene, a banner will hang across a parabolic archway. To make it look interesting, you have decided to put the banner at an angle along a line defined by the linear equation y = 0.6x+ 3.8, with x representing the horizontal distance and y the vertical distance in metres, from the foot of the archway. The archway is modelled by the quadratic equation y = - 0.27x^2+ 3.04x.
a) How can you use the equations to determine the points where the banner needs to be attached to the archway? You can use Technology or the grid below to help with your explanation.


















b) What would be the length of the banner?











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Question 1163121: For what values of k does x^2+kx+7=0 have no real roots?
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Question 1163194: prove that the given equation is an identity
cos(pi +x)=-cosx

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Question 1163246: Please help me with this question please.
*A Civil Engineer is designing paving around a rectangular pool measuring, L x W (in metres). The paving is to be the same width, x (in metres), around all sides of the pool (still forming a rectangle). Use the quadratic formula to algebraically determine the width of the walkway based on having A m^2 of paving.
Hint: Do not substitute values and then attempt to solve. The values of the variables are not known. Also please include a diagram.
Thank you

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Question 1163336: factor this quadratic equation
30(p^2-1)=11p

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Question 1163336: factor this quadratic equation
30(p^2-1)=11p

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Question 1163336: factor this quadratic equation
30(p^2-1)=11p

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Question 1163336: factor this quadratic equation
30(p^2-1)=11p

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Question 1163436: A positive real number is 4 less than another. When 8 times the larger is added to the square of the smaller, the result is 96. Find the numbers.
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Question 1163434: the area of a rectangle is 46 square inches. if the length is 4 times the width, then find the dimensions of the rectangle.
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Question 1163438: An accident investigator measured the skid marks of one the vehicles involved in an accident. The length of the skid marks was 84 feet. What was the speed of the vehicle before the brakes were applied?
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Question 1163641: In 1995, the sports league introduced a salary cap that limits the amount of money spent on players' salaries. The quadratic model y=0.2313x2+2.600x+35.17 approximates this cap in millions of dollars for the years 1995-2006, where x=0 represents 1995, x=1 represents 1996, and so on. Complete parts a and b.
a) Approximate the sports league salary cap in .
b) According to the model, in what year did the salary cap reach 65 million dollars?

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Question 1163655: In 1995, the sports league introduced a salary cap that limits the amount of money spent on players' salaries. The quadratic model y=0.2313x2+2.600x+35.17 approximates this cap in millions of dollars for the years 1995-2006, where x=0 represents 1995, x=1 represents 1996, and so on. Complete part a.
a) Approximate the sports league salary cap in 2004.

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Question 1163655: In 1995, the sports league introduced a salary cap that limits the amount of money spent on players' salaries. The quadratic model y=0.2313x2+2.600x+35.17 approximates this cap in millions of dollars for the years 1995-2006, where x=0 represents 1995, x=1 represents 1996, and so on. Complete part a.
a) Approximate the sports league salary cap in 2004.

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Question 1163789: -2(5x-3/4)
find equations equal to it. the choices are:
-2(5x)+(-2)(-3/4)
-10x-3/4
-10x+6/2
-10x+3/2
-10x-6/2
And thank you!!

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Question 1163801: How does the graph of y=x^2 differ from the graph of y=-x^2? How are they similar?
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Question 1163813: How does the graph of y=x^2-2 differ from the graph of y=x^2? How does the Graph y=x^2 +2 differ from the graph of y= x^2?
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Question 1163814: How does the graph of y=(x+2)^2 differ from the graph of y=x^2? How does the graph of y=(x-3)^2 differ from the graph of y= x^2?
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Question 1163847: How does the Graph y=x^2 +2 differ from the graph of y= x^2?
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Question 1163846: How does the graph of y=x^2-2 differ from the graph of y=x^2?
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Question 1163845: How does the graph of y=(x-3)^2 differ from the graph of y= x^2?
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Question 1163844: How does the graph of y=(x+2)^2 differ from the graph of y=x^2?
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Question 1163848: How does adding 3 to sqrt (x) affect a graph?
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Question 1163848: How does adding 3 to sqrt (x) affect a graph?
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Question 1163913: What must be multiplied to the expression 120x^5y to make it a perfect square?
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Question 1163913: What must be multiplied to the expression 120x^5y to make it a perfect square?
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Question 1163931: find an equation for a parabola that has x intercepts of 0 and 1 and passes through 2, -2
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Question 1163931: find an equation for a parabola that has x intercepts of 0 and 1 and passes through 2, -2
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Question 1163931: find an equation for a parabola that has x intercepts of 0 and 1 and passes through 2, -2
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Question 1163930: a parabola with the x intercepts at (-1, 0) and (3, 0) which passes through the point (1, -8)
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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