Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 612304: a ball thrown from the height of 3m with the speed of 4m/s. find quadretic equation.i got answer -9.8t^2+4t+3but i donot understand how -9.8
Click here to see answer by nerdybill(7384) About Me 
Question 612400: -3x^2-30x+72
Click here to see answer by lynnlo(4176) About Me 
Question 612460: Which is the first incorrect step to solving
+log%28x%5E2-4x%29-logx=log2%3F+
Step 1:+x%5E2-4x-x=6+
Step 2:+x%5E2-5x-6=0+
Step 3:+%28x-6%29%28x%2B1%29=0+
Step 4: ++++x=6+
I need to know which is the first incorrect step.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 612465: A certain population of a city increases according to the model
P(t) = 250e0.47t
with t=0 corresponding to the year 1992, where t is in years.
Which of thr following equations expresses the population present
in the year 2000?
A. P(2000) = 250e0.47(2000)
B. P(1992) = 250e0.47(1992)
C. P(6) = 250e0.47(6)
D. P(8) = 250e0.47(8)
Hope somebody can help.
Click here to see answer by solver91311(24713) About Me 
Question 612465: A certain population of a city increases according to the model
P(t) = 250e0.47t
with t=0 corresponding to the year 1992, where t is in years.
Which of thr following equations expresses the population present
in the year 2000?
A. P(2000) = 250e0.47(2000)
B. P(1992) = 250e0.47(1992)
C. P(6) = 250e0.47(6)
D. P(8) = 250e0.47(8)
Hope somebody can help.
Click here to see answer by ewatrrr(24785) About Me 
Question 612465: A certain population of a city increases according to the model
P(t) = 250e0.47t
with t=0 corresponding to the year 1992, where t is in years.
Which of thr following equations expresses the population present
in the year 2000?
A. P(2000) = 250e0.47(2000)
B. P(1992) = 250e0.47(1992)
C. P(6) = 250e0.47(6)
D. P(8) = 250e0.47(8)
Hope somebody can help.
Click here to see answer by G8TORS(10) About Me 
Question 612465: A certain population of a city increases according to the model
P(t) = 250e0.47t
with t=0 corresponding to the year 1992, where t is in years.
Which of thr following equations expresses the population present
in the year 2000?
A. P(2000) = 250e0.47(2000)
B. P(1992) = 250e0.47(1992)
C. P(6) = 250e0.47(6)
D. P(8) = 250e0.47(8)
Hope somebody can help.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 612545: Which expression represent f(g(3)). If f(x)=3-x^2 & g(x)=1+2x?
A.25
B.1
C.-46
D.-11
Plz Help..
Click here to see answer by jim_thompson5910(35256) About Me 
Question 612551: If f(x)=x^2-5x+8 & g(x)=x^2-4, which is an equivalent form of g(x)+f(x)?
A.x^2-5x+4
B.2x^2-5x-4
C.2x^2-5x+4
D.2x^2+5x+4
Your Help We Be Appreciated.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 612554: If f(x)=x^2-3 & g(x)=x+5, which is equivalent form of f(g(x))?
A.x^2+10x+22
B.x^3+5x^2-3x-15
C.x^2+2
D.x^2+x+2
Can someone plz answer.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 612555: If f(x)=2x^2 & g(x)=3x^4, which is equivalent form of f(x)*g(x)?
A.6x^8
B.5x^6
C.6x^6
D.5x^8
Click here to see answer by jim_thompson5910(35256) About Me 
Question 612719: 65sq units what is the base & height?
Click here to see answer by Alan3354(69443) About Me 
Question 612723: I am very confused by the problem below, mostly once you get the common denominator. What do you do after you get that to complete the problem? We were shown an example, but it was not very explanatory. Any helpful tips would be much appreciated. Thanks!!!
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During the first part of a trip, a canoeist travels 49 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed of 5 mph slower. The total time for the trip is 2 hours. What was the speed on each part of the trip?
Click here to see answer by scott8148(6628) About Me 
Question 612723: I am very confused by the problem below, mostly once you get the common denominator. What do you do after you get that to complete the problem? We were shown an example, but it was not very explanatory. Any helpful tips would be much appreciated. Thanks!!!
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During the first part of a trip, a canoeist travels 49 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed of 5 mph slower. The total time for the trip is 2 hours. What was the speed on each part of the trip?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 612736: How to factorise x³ - 49xy²
Click here to see answer by Edwin McCravy(20054) About Me 
Question 612740: If f(x)=(x^2-5x+4) & g(x)=x^2+4x-5, which is the first incorrect step in simplifying 3f(x)-g(x)?
Step 1: 3(x^2-5x+4)-(x^2+4x-5) (Substitution)
Step 2: 3x^2-15x+12-x^2-4x+5 (Distributive Property)
Step 3: 2x^2-11x+17 (Combine Similar Terms)
A.Step 1
B.Step 2
C.Step 3
D.No error
Click here to see answer by richard1234(7193) About Me 
Question 612754: If f(x)=x^2-5x+8 & g(x)=x,which is an equivalent form of g(x)/f(x)?
A.x-5
B.1/x-5
C.x/x-5
D.-1/5
Help.
Click here to see answer by jsmallt9(3758) About Me 
Question 613004: Use graph to estimate roots of this quadratic equation:
-x^2+3x-2=0
Click here to see answer by ewatrrr(24785) About Me 
Question 612998: y=-3x^2+x+1
Click here to see answer by KMST(5328) About Me 
Question 613206: why do we put the graph upward when a is positive and downward when a negative?
Click here to see answer by scott8148(6628) About Me 
Question 613262: Given the following revenue and cost functions, find the x-value that
makes profit a maximum. (Re2all that profit equals revenue minus cost.)
R(x) = 55x - 2x^2; C(x) = 21x + 98
Click here to see answer by ewatrrr(24785) About Me 
Question 613310: How do I find the solutions when given:
y=x2+4.6+4.7
and y=3.3x-3.7
Click here to see answer by stanbon(75887) About Me 
Question 613389: A high school track coach determines that his fastest long distance runner runs 2 miles per hour faster than his slowest runner. Compared to the faster runner, the slower runner takes a half hour longer to run 12 miles.
a. Find the average rates of both runners.
b. Find the time for both runners to run 12 miles.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 613258: Given the following revenue and cost functions, find the x-value that
makes profit a maximum. (Re2all that profit equals revenue minus cost.)
R(x) = 55x - 2x^2; C(x) = 21x + 98
Click here to see answer by jsmallt9(3758) About Me 
Question 613572: How do I find the vertex for x^2+6x+1?
Click here to see answer by lwsshak3(11628) About Me 
Question 613578: solve 2x^2-3x=7 using quadratic function and rounding to the nearest tenth
Click here to see answer by richwmiller(17219) About Me 
Question 613616: Solve
2x^2 + 3x − 5 = 0
Click here to see answer by scott8148(6628) About Me 
Question 613649: a sqaure mirror has sides measuring 2 ft less than the sides of a square painting. if the difference between their areas is 32 ft^2, find the lengths of the sides of the mirror and the painting. the area of theb painting (-32)= the area of the mirror
Click here to see answer by Theo(13342) About Me 
Question 613588: 5x+9x+2=0
Click here to see answer by radh(108) About Me 
Question 613669: to solve by completing the square, what value should you add to each side of the equation? x^2+20x=-4
Click here to see answer by Theo(13342) About Me 
Question 613730: I am stumped, I just do not know the steps, I would greatly appreciate any help on this. Thank you!
Solve using the quadratic formula. Then use a calculator to approximate, to three decimal places, the solutions as rational numbers.
46.
x^2 + 6x + 4 = 0


Click here to see answer by jim_thompson5910(35256) About Me 
Question 613619: Solve N = 3 pi √ 1/p for p.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 613847: City officials are putting up a rectangular garden around a memorial site with the length of (4x+7) and a width of (3x+5)

Part A: Determine the area of the memorial site in terms of x. Write your
answer as a trinomial and include units. Show or explain your work.
Part B: The outside edges of the garden form a rectangle whose length and
width are proportional to the sides of the memorial site, increased
by a scale factor of 3. Determine the lengths of the outside edges of
the garden. Write your answer in simplest form.
Part C: Determine the area of the garden in terms of x. Write your answer in
simplest form. Show or explain your work.
I understood part a and b , however, when I looked up the answer to see if I was correct for part C, it gave me a totally different answer. Would you please help me understand how to do part C?
Click here to see answer by scott8148(6628) About Me 
Question 613886: Please help with this vertical/projectile motion question:
Find the time it takes for a rocket launched from a 35-foot-high platform with an initial velocity of 30 feet/sec. to reach the ground.
Using many different methods, I came up with 2.7 seconds. Is this right, and if not, can you show me the right way of doing it and getting the right answer?
Thanks for your time!
Click here to see answer by stanbon(75887) About Me 
Question 613935: what is the quadratic equation in standard form for the following root? 1,-6
Click here to see answer by josmiceli(19441) About Me 
Question 614061: factor the polynomial expression x2-49
Click here to see answer by nerdybill(7384) About Me 
Question 614063: factor the polynomial expression x2-100
Click here to see answer by nerdybill(7384) About Me 
Question 614152: x2-12x+11=0
Click here to see answer by scott8148(6628) About Me 
Question 614058: factor the polynomial expression x2-6x-7
Click here to see answer by jsmallt9(3758) About Me 
Question 614330: What is ratio of rectangle A at 16 - x^2 to Rectangle B at x^2 + 2x - 24?
Click here to see answer by Earlsdon(6294) About Me 
Question 614370: what are the solutions to x2-5x-24=0
Click here to see answer by rapaljer(4671) About Me 
Question 614524: I have been requested to factorize the following equation for a calculus calculation I am struggling with.


Y = x^3 - 3x^2 - 9x - 5


I begun in the following manner.


0=x(x^2-3x-9)-5
5=x(x^2-3x-9)....


....From that point I failed to understand my calculation.


Your assistance will be highly appreciated.

Click here to see answer by stanbon(75887) About Me 
Question 614912: a car left an intersection and travel
led east at 32 mph. Another car left the same intersection at the same time and traveled west at 48mph. how long will it take before the cars are 160 miles apart?
Click here to see answer by math33(31) About Me 
Question 614975: write a quadratic equation with the given solutions. Type the equation in standard form. ax^2+bx+c=0
the soultions are -11,1.
Click here to see answer by Theo(13342) About Me 
Question 614990: a garden in the form of a square is surrounded by a walkway 2m wide. What are the dimensions of the garden if the area of the walkway is 800 square metres?
Click here to see answer by nerdybill(7384) 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