Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1184612: solve the quadratic equation below using the appropriate method. Show your work or solution.
x ^ 2 - 2x - 8 = 0

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Question 1184660: Is 3y - 4 = y + 1 a quadratic equation?
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Question 1184890: 3x+2y−3z=−2
7x−2y+5z=−14
2x+4y+z=6

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Question 1184931: Edna paid at least php 1,200 for pair of pants
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Question 1184945: The length of a rectangle is 2 feet more than its width. Find the dimensions of the rectangle.
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Question 1185035: the profit P (in dollard) on each cellular phone manufactured by clear line inc. is related to the number of cellular phones produced each day according to the equation P=0.82x^2+4.25x+45 where x is the number of cellular phones produced each day (in hundereds) and 2 is greater than x greater than 8.
a. find the profit per cellular phone if 400 cellular phones are produced per day.
b. about how many cellular phones should be produced each day to make a profit of 70 dollars per phone

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Question 1185048: Draw a floor plan of a house with a floor area of 72 m^2.

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Question 1185057: what is the quadratic equation of area 72m^2
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Question 1185133: It took a patrol boat 5 hours to travel 60 km up a river against the current, and 3 h for the same trip with the current. Find the speed of the boat in still water and the speed of the current.
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Question 1185133: It took a patrol boat 5 hours to travel 60 km up a river against the current, and 3 h for the same trip with the current. Find the speed of the boat in still water and the speed of the current.
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Question 1185134: Find the inverse function of f(x)=2(x-2)^2 +1 and graph it by reflecting f(x) over the line y=x (switch x and y co-ordinates)
Thank you

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Question 1185190: Explain the difference between using the remainder theorem and synthetic division when P(x) is divided by (x-r)

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Question 1185210: A store sells about 50 printers a month at a price of 140$ each. For each 10$ increase in price, about 5 more printers per month are sold.
Write an equation to represent the situation given.

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Question 1185210: A store sells about 50 printers a month at a price of 140$ each. For each 10$ increase in price, about 5 more printers per month are sold.
Write an equation to represent the situation given.

Click here to see answer by ikleyn(52781) About Me 

Question 1185235: Derick wants to make a table which has an area of 10 m². The length of the table must be 3 mlonger than the width. The equation that represent the situation is w(w+3)=10.
a. Without solving it, what should be the value of the discriminant of the equation? Is it positive or negative? Why?
b. Based on the value of the discriminant; how will you describe the dimensions of the table?

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Question 1185242: A cistern can be filled by two pipes. The small pipe alone will take 24 minutes
longer than the larger pipe to fill the cistern alone. The small pipe alone will take
32 minutes longer to fill the cistern alone than when the two pipes are operating
together. How long will it take the larger pipe to fill the cistern alone.

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Question 1185510: find the value of k that would make the left side of the equation a perfect square trinomial
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Question 1185554: Combine the like terms to create an equivalent expression:
\large{-k-(-8k)}−k−(−8k)

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Question 1185597: A rectangle measures 4 ft by 10 ft. We’d like to double the area by extending each side by the same amount. How much do we need to extend each side? Find the answer by writing and solving a quadratic equation.

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Question 1185606: 10. Divide [(3x-2)(x-4)-(x-4)(6-5x)]/(4x-1)(8x-1)
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Question 1185757: Directions: Tell whether or not the following situation illustrates a quadratic equation. Justify your answer by representing the situation in a mathematical sentence.
A motorcycle driver travels 15 kph faster than a bicycle rider. The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle to travel the same distance.

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Question 1185757: Directions: Tell whether or not the following situation illustrates a quadratic equation. Justify your answer by representing the situation in a mathematical sentence.
A motorcycle driver travels 15 kph faster than a bicycle rider. The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle to travel the same distance.

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Question 1185756: Directions: Tell whether or not the following situation illustrates a quadratic equation. Justify your answer by representing the situation in a mathematical sentence.
The length of the swimming pool of La'Kabay Harapitan resort is 15 meters longer than its width and the area is 205 square meters.

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Question 1185755: Directions: Tell whether or not the following situation illustrates a quadratic equation. Justify your answer by representing the situation in a mathematical sentence.
A garden 7 meters by 12 meters will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92 square meters.

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Question 1185755: Directions: Tell whether or not the following situation illustrates a quadratic equation. Justify your answer by representing the situation in a mathematical sentence.
A garden 7 meters by 12 meters will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92 square meters.

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Question 1185758: Directions: Tell whether or not the following situation illustrates a quadratic equation. Justify your answer by representing the situation in a mathematical sentence.
Mr. Yacap asked the carpenter to construct a rectangular table made of giant bamboo for his house. He told the carpenter that the table's area must be 19 square feet.

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Question 1185758: Directions: Tell whether or not the following situation illustrates a quadratic equation. Justify your answer by representing the situation in a mathematical sentence.
Mr. Yacap asked the carpenter to construct a rectangular table made of giant bamboo for his house. He told the carpenter that the table's area must be 19 square feet.

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Question 1185754: Directions: Tell whether or not the following situation illustrates a quadratic equation. Justify your answer by representing the situation in a mathematical sentence.
Marissa ordered at least P140.00 for a dozen of cassava balls and camote cues. The cost of cassava balls is P7.00 more than the cost of the camote cues

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Question 1185765: from an open box out from a rectangular piece of cardboard those length is 6cm longer than its width. to form the box a square aside is 3 cm will be remaining cardboard will turned up

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Question 1185765: from an open box out from a rectangular piece of cardboard those length is 6cm longer than its width. to form the box a square aside is 3 cm will be remaining cardboard will turned up

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Question 1185815: Make a rectangle with an area which is at most 35cm, where the width is 2cm more than its length Find the possible dimensions of the rectangle. (with solution)
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Question 1185815: Make a rectangle with an area which is at most 35cm, where the width is 2cm more than its length Find the possible dimensions of the rectangle. (with solution)
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Question 1185814: Mark wants to make a unique triangular design that will cover the vacant space of his bedroom wall. His mother, Annie, suggests a right triangle design will be a perfect fit. She suggests that hypotenuse should be at least 15ft and one leg is 3ft shorter than the other. What is the length of the longer leg? With Solution.
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Question 1185814: Mark wants to make a unique triangular design that will cover the vacant space of his bedroom wall. His mother, Annie, suggests a right triangle design will be a perfect fit. She suggests that hypotenuse should be at least 15ft and one leg is 3ft shorter than the other. What is the length of the longer leg? With Solution.
Click here to see answer by greenestamps(13200) About Me 

Question 1185858: The table below show the heart rate of an athlete upon stopping a moderate activity
Time-0,1,2,3
Heart rate-116,101,92,89
The equation I used is H(t)=a(t-h)^2+k
Use the lowest data point for the vertex

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Question 1185959: Using the intercept in graphing, find the vertex and intercept and aketch of S=-16t^2+64r
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Question 1186005:
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Question 1186011: In a triangle the measure of the greatest angle is square of the measure of the smallest angle., and the other angle is double of the smallest angle. Find the measure of the greatest angle. (Applying Quadratic equations)
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Question 1186016: 1.when you substitute the value of c in equation 4, what is the value of a?
2. When you subtitute thw value of c and a in equation 1 what is the value of b?

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Question 1186013: Sam and Justin together can do a work in 2 days. If they had to work separately, the time taken by Justin to do the work would be more than that of Sam by 3 days. In how many days cam Justin do the work alone? (Applying quadratic equations)
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Question 1186014: The length of a rectangle is five more than twice its width. The area of the rectangle is 52 square meters. Find the dimensions of the rectangle. (Applyong quadratic equations)
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Question 1186015: A car traveled the first 100 kilometers of a trip at one speed and the last 135 kilometers at an average of 5 kilometers per hour less. If the entire trip took 5 hours, what was the average speed of the car for the first part of the trip? (Applying quadratic equations)
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Question 1186015: A car traveled the first 100 kilometers of a trip at one speed and the last 135 kilometers at an average of 5 kilometers per hour less. If the entire trip took 5 hours, what was the average speed of the car for the first part of the trip? (Applying quadratic equations)
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Question 1186012: Given two consecutive integers, if 3 times the first is increased by the square of the second, the result is 85. Find these numbers. (Applying quadratic equations)
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Question 1186032: The local park has a rectangular flowet bed that measures 10 feet by 15 feet. The caretaker plans on doubling its area by adding a strip of uniform width around the flower bed. Determine the width of the strip.

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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