Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 471220: I am stuck on 3 last questions for my practice exam and was hoping someone can show me steps to take to solve these problems. I do not expect answers, I just do not understand the steps to take. Please help!
Solve:
x^2+2x-4=0
b^2+3b-10=0
r^2-5r-24=0
Click here to see answer by MathLover1(20849)

Question 471340: -10y^3+25y^2+30y^4=0 need to figure out what y equals....tried rewriting the problem as 5y^2(6y^2-2y+5)...can not figure out how to factor it all the way to 0 and get what y equals. please help
Click here to see answer by Alan3354(69443)

Question 471328: three years ago,
a father was four times as old as his daughter is now.the product of their ages is 430.calculate th present age of the daughter and the father

Click here to see answer by Alan3354(69443)

Question 471274: 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: 7, only solution
Click here to see answer by Alan3354(69443)

Question 471331: an artifact was found and tested for its carbon-14 content. If 81% of the original carbon-14 was still present, what is it probable age(to the nearest 100yrs)? use that carbon-14 has a half-life of 5730 yrs.
Click here to see answer by ankor@dixie-net.com(22740)

Question 471368: Give exact and approximate solutions to three decimal places
(x-6)^2=18
Click here to see answer by jorel1380(3719)

Question 470734: can you give me the steps to plot the quadratic formula in calculator to get answer?
Click here to see answer by richard1234(7193)

Question 471343: During the first part of a trip, a canoeist travels 88 miles at a certain speed. The canoeist travels 19 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 2 hrs. What was the speed on each part of the trip?
1.Speed of 1st part of the trip?
2.Speed of 2nd part of the trip?''.

Click here to see answer by mananth(16946)

Question 471502: find the coordinates of the points of intersection of the parabola y=x2 and the line y=x+2
Click here to see answer by Edwin McCravy(20054)

Question 471488: Please provide detailed steps to solving the following word problem:
A ball is thrown upward with an intial velocity of 14 meters per second (mps) from a cliff that is 70 meters high. The height of the ball is given by the quadratic equation h = -4.9t^2 + 14t + 90 where h is in meters and t is the time in seconds since the ball was thrown. Find the time that the ball will be 20 meters from the ground...rounded to the nearest tenth of a second
Click here to see answer by ankor@dixie-net.com(22740)

Question 471511: Find all intercepts for the graph of the quadratic function.
f(x) = 5x2 � 38x + 21
Click here to see answer by jorel1380(3719)

Question 471514: Find the vertex and intercepts of the function f (x) = x2 + x − 2
Click here to see answer by jorel1380(3719)

Question 471515: Complete the ordered pair so that it satisfies the given equation. Match your result to the
correct answer below.
s = �16t2 + 48t, (3, )
Click here to see answer by ewatrrr(24785)

Question 471436: How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain.
Click here to see answer by richard1234(7193)

Question 471543: two positive number differ by 7 and the sum of their square is 169. find the numbers
Click here to see answer by richard1234(7193)

Question 471545: help me solve this log equation....
2(3)^ + 1=0
where ^ = to x power
Click here to see answer by Alan3354(69443)

Question 471615: how do you solve x2+16x+4=0
Click here to see answer by jim_thompson5910(35256)

Question 471748: Solve the formula for the given letter. Assume all variables represent non-negative numbers
E= mc^2. for c
^is raising to that power
Click here to see answer by richard1234(7193)

Question 471745: solve 4x+x(x-2)=0

find the x intercepts of f(x)=4x+x(x-2)
Click here to see answer by robertb(5830)

Question 471743: Find the x and y intercepts
f(x)=-x^2+3x+10
^means it is raising to that power
Click here to see answer by robertb(5830)

Question 472039: determine the nature of the solutions of the equations
x^2-17=0
^means it is raising to that power
a) 2 real solutions
b) 2 imaginary solutions
c) 1 real solution
Click here to see answer by MathLover1(20849)

Question 472042: A student opens a mathematics book to two facing pages. The product of the page numbers is 110. Find the page numbers.
The first page is ?
The second page is ?
Click here to see answer by richard1234(7193)

Question 472171: -x^2+7x=4
I changed it to -x^2+ 7x -4 = 0
and quadratic equation would be -b+/- the square root of b^2 -4ac all over 2a.
a=-1
b= 7
c= -4
and I got 7.5 and 0.5 but when I plug it back in it does not work!
Help is MUCH appreciated!
Click here to see answer by jim_thompson5910(35256)

Question 472063: Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?

Click here to see answer by richard1234(7193)

Question 472468: Find the vertex and the line of symmetry. Graph the function
f(x)=2(x-2)^2
^ means it is raising to that power
Click here to see answer by ewatrrr(24785)

Question 472472: a)solve 5x^2=10
b)find the x intercepts of f(x)=5x^2-10
^means it is raising to that power
Click here to see answer by ewatrrr(24785)

Question 472478: Find and label the vertex and the line of symmetry. Graph the function
f(x)=5x^2
^means it is raising to that power
Click here to see answer by ewatrrr(24785)

Question 472475: The number of tickects sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+12x+11, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?

^means raising to that power
Click here to see answer by ewatrrr(24785)

Question 472492: find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)= -(x+1)^2-3
^means it is raising to that power
Click here to see answer by Alan3354(69443)

Question 472574: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are?

Click here to see answer by richard1234(7193)

Question 472582: How do you solve the quadratic equation 3k^2 + 7K=4?
Click here to see answer by jim_thompson5910(35256)

Question 472742: What is the standard form of a quadratic equation for the following problem and how can I understand it? (48n +3)(n-2) -48 = 22
Click here to see answer by stanbon(75887)

Question 472862: I have to find the x and y intercepts axis of symmentary and vertex of this equation
y= -x^2/2+3x+8
to find x intercepts told to mutiply by -2, which makes equation
y=x^-6x-16
would I find axis of symmentry and vertex from the new values or from original equation.
Click here to see answer by ewatrrr(24785)

Question 472894: solve for x
x^2+14x+4=0
^means it is raising to that power
Click here to see answer by Alan3354(69443)

Question 472895: Find the vertex, line of symmetry, the maximum or minimum value of the quadratic function, and graph the function
f(x)=-2x^2+2x+3
^ means it is raising to that power
Click here to see answer by rfer(16322)

Question 472896: For the scatterplot, determine which of the following types of functions might be used as a model for the data.
a)linear
b)not linear or quadratic
c)quadratic
the points are located at the following:
(1,12)
(3,8)
(5,7)
(7,7)
(9,8)
Click here to see answer by solver91311(24713)

Question 472964: Please solve this quadratic equation by completing the square and factoring:
2m^2 + 5m = 12
Click here to see answer by jim_thompson5910(35256)

Question 472980: 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:2,only solution
Click here to see answer by jim_thompson5910(35256)

Question 472959: b squared + x squared = a squared
Click here to see answer by Alan3354(69443)

Question 473026: Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.5x^2 - 1.5x + 6.736, where c(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
The shop should build ____ bicycles.
Click here to see answer by ccs2011(207)

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, 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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