Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 156380: Find the value of a such that the line y=x^2+a has exactly one intersection point with the parabola with equation y=x^2+3x+2.
Click here to see answer by Alan3354(31528)

Question 156381: if the graph of the function f(x)=4x^2-20x-4 intersects the graph of the function g(x)=1+4x-x^2 at the point (m,k), show that the other point of intersection occurs where x= -1/m.
Click here to see answer by Edwin McCravy(8999)

Question 156496: A flagpole is secured on opposite sides by two guy wires, each of which is 7 ft longer than the pole. The distance between the points where the wires are fixed to the ground is equal to the length of one guy wire. How tall is the flagpole? (to the nearest inch)
I have no idea how to solve this :(
Click here to see answer by Earlsdon(6294)

Question 156479: The current in a stream moves at a speed of 3mph. A boat travels 45mi upstream and 45mi downstream in a total time of 8 hr. What is the speed of the boat in still water?
Click here to see answer by ptaylor(2052)

Question 156612: A wire 350 mm long is cut in two pieces. The first piece is shaped into a circle, and the second piece is shaped into a square. Both shapes have the same area. What is the length of each wire?
I have no idea where to even start on this problem, so please help!
Click here to see answer by gonzo(654)

Question 156636: graph the quadritic equation
y= x^2 +2x

Click here to see answer by Alan3354(31528)

Question 156236: Find the intercepts and then use them to graph the equation
1.1x-1.9y=4.18
I need to plot the points
Click here to see answer by Alan3354(31528)

Question 156550: In 1994, the life expectancy of males in a certain country was 69.6 years. In 2001, it was 73.3 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994.
The linear function E(t)that fits the data is,
E(t)= t+
(Round to the nearest tenth.)
Click here to see answer by stanbon(57967)

Question 156633: x^2 + square root 22=0

Click here to see answer by Alan3354(31528)

Question 156657: x(x+8)=000
Click here to see answer by oscargut(900)

Question 156693: Solve by completing the square.
4x + 2 = x^2
Click here to see answer by jim_thompson5910(28715)

Question 156718: 2x^2+8x+15=0
Click here to see answer by jim_thompson5910(28715)

Question 156718: 2x^2+8x+15=0
Click here to see answer by oscargut(900)

Question 156718: 2x^2+8x+15=0
Click here to see answer by josmiceli(9817)

Question 156738: write the equation of a quadratic f(x) such that f(0)=8 and a vertex at x=0.
Click here to see answer by jim_thompson5910(28715)

Question 156386: show that the equations y=kx-1 and y=x^2+(k-1)x+k^2 have no real solution for all values of k.
Click here to see answer by Edwin McCravy(8999)

Question 156773: Use the quadratic equation to solve
2x^2-5x=-9
Use i if complex answer.
i would appreciate a breakdown of the solution..Thanks
Click here to see answer by jim_thompson5910(28715)

Question 156760: The question is solve:

The closet I have come to solving this is probably way off.
I have ended up with:
and

Any help would be greatly appreciated.
Thanks to all the online tutors out there...
Bill W

Click here to see answer by edjones(7569)

Question 156799: 3x^3-24
Since 24 is not a perfect cube I think I factor out the 3 as follows:
3(x^3-8)
Am I on the right track?
Click here to see answer by nerdybill(7008)

Question 156809: whAT IS THE ANSWER TO THIS SEQUENCE 8,11,16,23,32,43
Click here to see answer by scott8148(6628)

Question 156882: Solve for the specified variable.
S =a/1-r for r

Click here to see answer by checkley77(12569)

Question 156881: 9) Solve. Round results to the nearest thousandth.
7x2 - 6x - .4255 = 0

Click here to see answer by checkley77(12569)

Question 156833: prove that y=x-3 is a tangent to the curve y=x^2-5x+6.
Click here to see answer by checkley77(12569)

Question 156899: ax+by+bz+ay+bx+az=?
Click here to see answer by Alan3354(31528)

Question 156900: Solve the problem. Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?
Click here to see answer by ankor@dixie-net.com(15746)

Question 156824: for what values of p is 4x^2+px+49=0 a perfect square?
Click here to see answer by checkley77(12569)

Question 156920: Graph the quadratic equation, label the ordered pairs for the vertex and the y-intercept
y= x^2 + x-2
Click here to see answer by Alan3354(31528)

Question 156920: Graph the quadratic equation, label the ordered pairs for the vertex and the y-intercept
y= x^2 + x-2
Click here to see answer by checkley77(12569)

Question 156932: Evaluate the discriminate b^2-4ac. Then use the answer to state how many real number solutions exist for the rquation
y=x^2+8x+16
Click here to see answer by jim_thompson5910(28715)

Question 156898: Solve the problem. Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 84 miles in the same time that Dana travels 78 miles. If Chuck's rate of travel is 3 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
Click here to see answer by ankor@dixie-net.com(15746)

Question 156973: 8x^6-7x^3y^3-y^6
Click here to see answer by jim_thompson5910(28715)

Question 156974: -6z^2+7z+3=0
Click here to see answer by jim_thompson5910(28715)

Question 157090: How would you solve...
Write the equation y + 1/4x-2 in standard form using only integers and a positive
coefficient for x.
Click here to see answer by Alan3354(31528)

Question 157092: How would you solve...
Write the equation y = 1/4x-2 in standard form using only integers and a positive
coefficient for x.
Click here to see answer by Alan3354(31528)

Question 157131: Find the vertex for the graph of the quadratic function.
f(x) = x^2 - 11
Click here to see answer by Alan3354(31528)

Question 157134: Solve using the quadratic formula: z^2 - 3z = 40
Click here to see answer by Alan3354(31528)

Question 157251: I am given the zeros (ie. cross x axis at -3 and 4), and told the equation crosses the y axis at 48, how would I make a quadratic equation out of this?
Click here to see answer by nerdybill(7008)

Question 157303: divide 30 into 2 equal parts such that the square of the smaller part exceeds the other part by 60
Click here to see answer by checkley77(12569)

Question 157331: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. Solution 9, only solution.
Click here to see answer by ankor@dixie-net.com(15746)

Question 157422: please helo graph this equation
y = x^2 - 5
Click here to see answer by gonzo(654)

Question 157410: The length of a rectangle is 1.6 times the width Find the dimensions of rectangle if it's area is 9000m^2
Click here to see answer by gonzo(654)

Question 157428: solve 30=w(w+1)
Click here to see answer by ptaylor(2052)

Question 157581: base of temple is a rectangle with a perimeter of 300m. the area of the base is 4400m. what are the dimensions of the base?
all i have is
l+w=perimeter
lxw=4400
Click here to see answer by checkley77(12569)

Question 157655: Find any extrema for: f(x)= -x^-5x+3 Is this maximum or a minimum?
This is how far I got, is it correct?
x= -[x^-5x+6.25] 6.25+3
x= -[x-2.5]^ + 9.25
x=2.5 y=9.25 This is a maximum
Click here to see answer by edjones(7569)

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