Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 133011: Hi.
Please help. I am lost-my mind is swimming with all the steps and I got lost twice-I need HELP!
The problem is: State the value of the discriminant and the number of real solutions. t^2+14t+49=0
Thank You.

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Question 132998: Television sets: What does it mean to refer to a 20-in TV set or a 25-in TV set? A 15-in TV set also has a width of 12-inches. What is its height?
I am stumped on how to set up the problem into an equation. Can someone help me?

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Question 132854: A rectangle has an area of 36 square meters. Its length is 2square-root of 3 meters. In exact form, what is the permieter of the rectangle?
A right triangle has a 24-cm perimeter, and its hypotenuse is twice as long as its shoter leg. To the nearest tenth of a cm, fnd the lengths of all three sides of this triangle.

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Question 132825: I have to match each graph with the correct equation could you gave me a example of how to do this my email address is slimshadey10@aol.com
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Question 133083: How can I Solve 25(2x+1)^2/9=0 ?
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Question 133084: How do you determine the min or max of -3x^2+24x?
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Question 133084: How do you determine the min or max of -3x^2+24x?
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Question 133088: solve by completing the square 2m^2-m-15=0?
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Question 133089: Find the vertex and intercepts for h(x)= -x^2-2x+8 and sketch the graph?
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Question 132855: Find a quadratic equation of the form ax^2+bx+c=0 whose solutons are x=4+ or - square root of 11
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Question 132814: Evaluate (-2x)2 and -2x 2 when x = 3
Both of the second 2's in each problem is one of those little numbers which i believe mean to the 2nd power??

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Question 133126: 1. Solve by factoring:
x^2 – 6x = -8

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Question 133154: Solve for x algebraically: 5^(2x)- 4(5)^x=-3
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Question 133101: Solve.

5x^2 = 15 Also, find the x-intercepts of f(x) = 5x^2 - 15
Thank you in advance for any help you can give me.

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Question 133135: The height h (in feet) above the ground of a baseball depends upon the time t (in seconds) it has been in flight. Cameron takes a mighty swing, but hits a bloop sinlge whose height is described approximately by the equation h=80t-16t^2. Ho long is the ball in the air? The ball reaches its maximum heght after how many seconds of light? What is the maximum height? How much time does it take for the ball to reach a hieght of 60 feet? On its way back down, the ball is again 60 feet above the ground; what is the value of t when this happens?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 133135: The height h (in feet) above the ground of a baseball depends upon the time t (in seconds) it has been in flight. Cameron takes a mighty swing, but hits a bloop sinlge whose height is described approximately by the equation h=80t-16t^2. Ho long is the ball in the air? The ball reaches its maximum heght after how many seconds of light? What is the maximum height? How much time does it take for the ball to reach a hieght of 60 feet? On its way back down, the ball is again 60 feet above the ground; what is the value of t when this happens?
Click here to see answer by stanbon(75887) About Me 

Question 133153: Solve for x: 9^(2x-1)= (81^(x+1))(27^-x)
Click here to see answer by Nate(3500) About Me 

Question 133184: If a pro-basketball player has a vertical leap of about 30 inches, what is his hang time? Use the hang time function? V = 48T^2
I come up with 5 seconds, would that be correct?

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Question 133182: Solve.
x^2 + 6x -4 = 0
Here's what I think is the answer. Can someone tell me if I'm on the right track?
(-6 + sqrt (52)/2) (-6 - sqrt ( 52 )/2)

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Question 133182: Solve.
x^2 + 6x -4 = 0
Here's what I think is the answer. Can someone tell me if I'm on the right track?
(-6 + sqrt (52)/2) (-6 - sqrt ( 52 )/2)

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Question 132846: To accommodate the road beneath, the arch is 100 feet wide at its base, 20 feet high in the center, and parabolic in shape.
-The arch can be described by y=kx(x-100), if the origin is placed at the left end of the arch. Find the value of the coefficient k that makes the equation fit the arch.
-Is it possible to move a rectangular object that is 40 feet wide and 16.5 feet high (a wide trailer, for example) through the opening? Explain.

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Question 133133: To accommodate the road beneath, the arch is 100 feet wide at its base, 20 feet high in the center, and parabolic in shape. The arch can be described y y=kx(x-100), if the origin is placed at the left end of the arch. Find the value of the coefficient k that makes the equation fit the arch. Is it possible to move a rectangular object that is 40 feet wide and 16.5 feet high (a wide trailer, for example) through the opening? Explain
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Question 133262: Find the constant that must be added to each binomial expression to form a perfect-square trinomial.
x^2 +18x

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Question 133262: Find the constant that must be added to each binomial expression to form a perfect-square trinomial.
x^2 +18x

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Question 133273: solve equation by completing the square
x^2 + 10x + 13 = 0

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Question 133289: solve equation by completing the square
z^2-5z-7=0

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Question 133289: solve equation by completing the square
z^2-5z-7=0

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Question 133290: solve equation by completing the square
3x^2-8x=2

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Question 133324: Rewrite the expression x^3 - 2x^2 y + x y^2 so that it is easy to calculate the its value without a calculator when x= 21 and y = 19
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Question 133355: y=-x^2
y=-4x^2
y=-6x^2

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Question 133370: Find the value of the discriminant and give the number of real solutions.
2x^2-5x=0

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Question 133431: Togethe, John and Mark can finish painting a house in 10 hours. Alone, John takes 4 hours longer than Mark to finish painting the same house. How long does Mark take to finish painting the house by himself?. Give your correct answer to correct 2 decimal places.



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Question 133462: A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the equation P=-25x^2+300x. What number of clerks will maximize the profit, and what is the maximum possible profit?
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Question 133461: Find the vertex and intercepts for the parabola g(x)=x^2+x-6 Sketch the graph
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Question 133459: If a pine cone falls from the top of a 96-foot pine tree, how long does it take to reach the ground?
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Question 133523: I just get confused with problems such as:

y=(1/8)x^2
I need to find the x-intercepts, but I do not know how to put the equation into the form that is needed. I believe it is standard form.

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Question 133562: How can I find the vertex of f(x)= 2x^2-4x+5? Thank you!
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Question 133637:
I am thinking of 3 consecutive positive numbers. If I multiply the first with the third and then add the second, the result is 41. What are the numbers?

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Question 133629:
how do i find the discriminant in the quadratic equation x^2+11x+121=x+96?

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Question 133644: I have a chapter nine test tomarrow 4/26 and i need help!
ok..it has to do with quadrtatic equations..Vertical motion models: droped and thrown H=-16t squared + s and -16t squared+vt+s
the question is.. A falcon dives toward a pigeon on the ground.
when the falcon is at a height if 100 ft the pigeon sees the falcon. which is diving at a 220 ft per sec. estimate the time the pigeon has to escape.

h= height t= time s= initial height v= initial velocity
for some reason you also have to use the quaratic formlua
-b +- squareroot of b squared - 4 (a)(C) over 2(a)

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Question 133703: Solve each equation by factoring.
8x=3x^2=5
My Work:
I moved the 8x over and came out with 3x^2-8x+5=0.My teacher taught me to use this box and i did and came up with (3x-5+5)=0+5 and (x-1+1)=0+1 and i divided and came up with x=5/3 and 1. PLEASE HELP I REALLY TRIED!!!

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Question 133705: Solve for eacg equation by factoring.
4x^2=12x-9

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Question 133706: Solve each equation by factoring.
4m^2+6=11m

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Question 133737: am trying to figure out a problem, that I cannot, for the life of me seem to answer by showing my work. The answer is supposed to be either -1&-2 or 3&4.
Here is my question.
The sum of two consecutive integers is 5 less than their product. Find the integers.
I found them, but I cannot show HOW I got them. ??

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Question 133795: Hello and thanks for helping me out in advance. This question is on a take home quiz and I"m not sure how to do it. The directions say to find the greatest common factor here is the question
-12ab, 21a^2, 18ab^2, -21b^2
now where i'm having the trouble is there are no common terms. Or at least I can't see any because there are non that have both an a and b or just an a or b I"m assuming 3 and then something after it but I have no clue..I know it's probably an easy answer but I can't seem to come up with it. Thanks
Christina

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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