Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 366939: Prove if the diagonals of a paarallelogram are congruent, then the parallelogram is a rectangle.
Click here to see answer by robertb(5830) About Me 

Question 366990: write a quadratic equation in the variable x havin the given numbers as solutions type the equation in standrd form, ax^2+bx+c=0
solution 3, only solution

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Question 366992: durin the first part of a trip a canoesit travels 64 miles at a certain speed. The conoeist treavels 22 miles on the secondo part of the trip at a speed of 5 mph slower. the total time for the trip is 4 hours what was the speed of each part of the trip.
Click here to see answer by mananth(16946) About Me 

Question 366916: a) On a 135-mile bicycle excursion, Maria averaged 5 miles per hour faster for the first 60 miles than she did for the last 75 miles. The entire trip took 8 hours. Find her rate for the first 60 miles.
b) A group of students agreed that each would chip in the same amount to pay for a party that would cost $100. Then they found 5 more students interested in the party and in sharing the expenses. This decreased the amount each had to pay by $1. How many students were involved in the party and how much did each student have to pay?
c) A 24-foot ladder resting against a house reaches a windowsill 16 feet above the ground. How far is the foot of the ladder from the foundation of the house? Express your answer to the nearest tenth of a foot.

Click here to see answer by solver91311(24713) About Me 

Question 367018: I've been working on this problem for 5 days and can't figure it out. This is the question. "A homeowner has poured a rectangular slab for a barbecue pit. The length is 3 feet more than its width. It is surrounded by a 2 foot wide flower bed. If the area covered by both is 270 square feet, find the dimensions of the barbecue area".
1. A=lw which would mean that the with is 15 and the length is 18 (18*15=270). Now if you subtract the perimeter of that, which would be 8 feet (2*4=8) that would mean that the remaining area would be 262.
2. At 51 I suck at word problems as bad as I did when I was 15 and just can not figure out how to put this in a quadratic equation. I have tried 270=(w+3)(w)-2^2 and it doesn't work.
I have tried x=(w+3)(w)-2^2-270 and that doesn't work.
What exactly is it that I'm doing wrong?
3. Yes, this is a homework problem and yes I have tried everything to solve it. I have read and re-read the chapter and my class notes but it just comes down to I don't understand...Please Help!!!1
Susan Lucas

Click here to see answer by Fombitz(32388) About Me 
Question 367018: I've been working on this problem for 5 days and can't figure it out. This is the question. "A homeowner has poured a rectangular slab for a barbecue pit. The length is 3 feet more than its width. It is surrounded by a 2 foot wide flower bed. If the area covered by both is 270 square feet, find the dimensions of the barbecue area".
1. A=lw which would mean that the with is 15 and the length is 18 (18*15=270). Now if you subtract the perimeter of that, which would be 8 feet (2*4=8) that would mean that the remaining area would be 262.
2. At 51 I suck at word problems as bad as I did when I was 15 and just can not figure out how to put this in a quadratic equation. I have tried 270=(w+3)(w)-2^2 and it doesn't work.
I have tried x=(w+3)(w)-2^2-270 and that doesn't work.
What exactly is it that I'm doing wrong?
3. Yes, this is a homework problem and yes I have tried everything to solve it. I have read and re-read the chapter and my class notes but it just comes down to I don't understand...Please Help!!!1
Susan Lucas

Click here to see answer by solver91311(24713) About Me 

Question 367047: Find the product of the roots of 2x^2 - 8x + 3 = 0.
Click here to see answer by mananth(16946) About Me 

Question 367054: The diagonal of a rectangle is 5cm & one of its side is 4 cm. Its area is?
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Question 367055: If a car is travelling at a constant rate of 45 miles per hour, how many miles does it travel from 10.40a.m. to 1.00p.m of the same day?
Click here to see answer by mananth(16946) About Me 

Question 367058: If the sum of the number and the original number increased by 5 is greater than 11, which could be a possible value of the number?
Click here to see answer by ewatrrr(24785) About Me 

Question 367063: Two squares have sides p cm and (p+5) cms. The sum of their squares is 625 sq.cm. The sides of the squares are ?
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Question 367056: Can someone please help me. I got all my homework done but this one. I can not get it. please help.

Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. (x=1 is the day tickets go on sale).
Tickets= -0.4x^2+20x+122.1
a. Does the graph of this equation open up or down? How did you determine this?

b. What is the number of tickets sold on the 10th day? The 20th day? The 40th day? The 50th day?
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. After how many days will the maximum or minimum occur?

e. How many tickets will be sold on the day when the maximum or minimum occurs?

f. What are the coordinates of the vertex? How does this number relate to your answers in parts d and e?

g. How many solutions are there to the equation ? How do you know?

h. What do the solutions represent? Explain.

Click here to see answer by ewatrrr(24785) About Me 

Question 366845: If (2x-1) is a factor of f(x)=2x^3-5x^2-kx+3 find the value of k.
Find the other two factors of f(x)=0

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Question 367066: The wages of 8 men & 6 boys amount to Rs 33. If 4 men earn Rs 4.50 more than 5 boys determine the wages of each man & boy.
Click here to see answer by mananth(16946) About Me 

Question 367075: Investigate to see if (2x+5) is a factor of 2x^3-3x^2-12x+20=0
Solve the equation.

Click here to see answer by Fombitz(32388) About Me 

Question 367117: A PIECE OF WIRE 44 CM LONG IS CUT INTO TWO PARTS AND EACH PART IS BENT TO FORM A SQUARE. AF THE TOTAL ARE OF THE TWO SQUARES IS 65 CM SQUARE, FIND THE PERIMETER OF THE TWO SQUARES
Click here to see answer by Theo(13342) About Me 

Question 367125: How you would factor 32x^6 – 162?
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Question 367276: x(x-4)=21
Click here to see answer by jim_thompson5910(35256) About Me 

Question 367310: solve
+x%5E%282%2F3%29-2x%5E%281%2F3%29-8=0+

Click here to see answer by jim_thompson5910(35256) About Me 
Question 367310: solve
+x%5E%282%2F3%29-2x%5E%281%2F3%29-8=0+

Click here to see answer by josmiceli(19441) About Me 

Question 367307: Solve
+x%2B3sqrt%28x%29-40=0+

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Question 367307: Solve
+x%2B3sqrt%28x%29-40=0+

Click here to see answer by robertb(5830) About Me 

Question 367304: Solve each formula for the indicated letter. Assume that all variables represent nonnegative numbers.
+N=+%28x%5E2-3x%29%2F%282%29+ solve for x
(number of diagonals of polygon with x sides)

Click here to see answer by edjones(8007) About Me 

Question 367255: I've been trying to solve this problem for a while now and no matter what I do I can't get the answers to check. Here's the problem: Joe has a collection of nickels and dimes that is worth $6.20. If the number of dimes was doubled and nickels were decreased by 37, the value of the coins would be worth $4.20. How many nickels and dimes do you have? Any help would be greatly appreciated! Thank you for the help!

Click here to see answer by scott8148(6628) About Me 

Question 367386: An Archer shoots an arrow. It's heights (in inches) at three times (in seconds) are given:
Time is t
Distance above ground is s
at 3 seconds, the arrow was 326 ft above the ground
at 5 seconds, the arrow was 350 ft above the ground
at 8 seconds, the arrow was 146 ft above the ground
What is the maximum height of the arrow?
So far, all I have is s=-16t^2+140t+50, but I have no idea how to get the height of the arrow from there.

Click here to see answer by scott8148(6628) About Me 

Question 367556: The denominator of a fraction exceeds the numerator by 2. If 5 be added to numerator the fraction increased by unity. The Fraction is?
Click here to see answer by mananth(16946) About Me 

Question 367502: find the vertex, line of symmetry, and maximum/minimum value
-2x^2+2x+3
I have tried everything and am completely lost, any help would be appreciated

Click here to see answer by robertb(5830) About Me 

Question 367586: Find the value of k so that the equation 3x²-(5+k)x-17=0 will have roots numerically equal but opposite sign.Please answer the question.
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Question 367596: Dal and Kim can assemble a swing set in 1 1/2 hr. Working alone, it takes Kim 4 hr longer than Dal to assemble the swing set. How long would it take Dal, working alone, to assemble the swing set? I do not have a clue how to set this up Please help!!!
Click here to see answer by mananth(16946) About Me 

Question 367622: For what value of k will the roots of 4x^2 + 4x + k be equal?
Click here to see answer by robertb(5830) About Me 

Question 367668: How can I get a quadratic function from y=x^2 where a=1, b=6 and c=5? I started by (x-1)(x-6) =x^2-7+6 and I don't know where to go from there.
Click here to see answer by Fombitz(32388) About Me 

Question 367683: Use the quadratic formula to solve
2N(squred)-3= 5N
If you can give easy directions to answering this question also it would be much appreciated.

Click here to see answer by Fombitz(32388) About Me 

Question 367783: find vertex, axis of symmetry, and the maximum or minimum value
+f%28x%29=%28x%2B3%29%5E2-2+

Click here to see answer by ewatrrr(24785) About Me 

Question 367782: find the vertex, axis of symmetry, and the maximum value or minimum value
+f%28x%29=%28x-1%29%5E2%2B2+

Click here to see answer by ewatrrr(24785) About Me 

Question 367810: find the x-intercepts of y=x^2+4x-5

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Question 367776: solve
+%28x%2B4%29%28x-1%29%2F%28x%2B3%29%3E0+

Click here to see answer by Fombitz(32388) About Me 

Question 367882: What would the graph look like for y=x-3^2
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Question 367898: Find a quadratic equation whose root are 2and5
Click here to see answer by ewatrrr(24785) About Me 

Question 368143: +f%28x%29=%283%2F2%29%28x%2B2%29%5E2-1+
Click here to see answer by Fombitz(32388) About Me 

Question 368312: please help me solve this quadratic function :y=x^2+8x=21
Click here to see answer by Fombitz(32388) About Me 

Question 368321: Find each of the products and express the answers in the standard form of a complex number. (4+3i)(6+i)
Click here to see answer by Fombitz(32388) About Me 

Question 368302: Can you help me out with this!!!
if x=1 is the day tickets go on sale.
Tickets= -0.4^2+20x+122.1

b. What is the number of tickets sold on the 10th day? The 20th day? The 40th day? The 50th day?

Click here to see answer by Fombitz(32388) About Me 

Question 368467: A=6s^2
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Question 368464: U^2+2u-4=0
Click here to see answer by ewatrrr(24785) About Me 

Question 368512: A = 6s2, for s
(Surface area of a cube with sides of length s)

Click here to see answer by Fombitz(32388) About Me 

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