Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 252000: f(x)=x^2+2x+15
I am a bit confused on graphing parabolas...I missed that day of school, as I was very ill. :(
We need to find the y-intercept, vertex, Axis of Symmetry, create a T=table, graph and label, state whether a maximum or minimum, and find the roots. :) Any help would be great, as I'm totally lost.
Click here to see answer by richwmiller(17219)

Question 251987: Q.1:-In a book with page numbers from 1 to 100, some pages are torn off. The sum of the numbers on the remaining pages is 4949. How many pages are torn off?
Q.2:- Let ABC be a triangle in which AB=AC and let I be its in-centre. suppose BC=AB+AI.find the angle BAC?
Q.3:-Show that there is no integer a such that a^2-3a-19 is divisible by 289?
Q.4:-Find the sum of all 3-digit natural numbers which contain at least one odd digit and at least one even digit?
Click here to see answer by richwmiller(17219)

Question 252024: 4x^2-4x+3=0
Move the constant to the right side of the equation.
Multiply each term in the equation by four times the coefficient of the x^2 term.
Square the coefficient of the original x term and add it to both sides of the equation
Take the square root of both sides.
Set the left side of the equation equal to the positive square root of the number on the right side and solve for x
Set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x.
Click here to see answer by richwmiller(17219)

Question 252051: The problem says:
Nicole's new house has a small deck that measures 6 feet by 12 feet. She would like to build a larger deck. By what amount must each dimension be increased to triple the area of the original deck?
Click here to see answer by solver91311(24713)

Question 252025: x^3-5x^2+4x-7
Click here to see answer by nyc_function(2741)

Question 252112: f(x)=x^4-3x^3-11x^2+3x+10
find the x intercepts
Click here to see answer by vksarvepalli(154)

Question 252122: Find the value of the constant c , if the difference of the roots of x^2-11x+c = 0
is 3
Click here to see answer by vksarvepalli(154)

Question 252017: Q.3:-Show that there is no integer a such that a^2-3a-19 is divisible by 289?
Click here to see answer by Edwin McCravy(20054)

Question 252245: What is the sum of the squares of the roots of x^4 - 5 x^2 + 6 = 0
Click here to see answer by josmiceli(19441)

Question 252256: 3x squared + 12x = -2
I can find the square sign on my computer so I just wrote out 3x squared
Click here to see answer by jim_thompson5910(35256)

Question 252269: how can we know that equation has no solution?im a bit confusing about that.
check this out ; x=rootx-6 ,ive been work it out and find that x=3 x=-2 then i look at the answers from the back and it just written as no solution .really confused! -_-
Click here to see answer by stanbon(75887)

Question 252270: can u solve this equation for me ?
2^2x - 11.2^3 + 15 = 0
im stucked on it please help me thanks in advance ;)
Click here to see answer by Alan3354(69443)

Question 252322: Graph the problems below. Also provide a XY chart. with the given X values- -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
y = �3x2 � 6x � 5
y = x2 � 4
Click here to see answer by checkley77(12844)

Question 252356: given 3x- 4y = 7 and x+ cy = 13 for what value of c will this system of equations NOT have a solution?
a -4 b -4/3 c -3/4 d 3/4 e 4/3
Click here to see answer by edjones(8007)

Question 252391: I am having trouble solving: Y= -3x^2-6x-5, I have to graph it, so I need to know the x values, the y values, the x intercepts, the y itercepts and vertex
Click here to see answer by richwmiller(17219)

Question 251192: A parabola is tangent to the x-axis, has a y-intercept of 18 and passes through the point (2. 8). What are the two possible quadratic equations?
Click here to see answer by Alan3354(69443)

Question 252397: hello, I am graphing y= -3x^2-6x-5, if my vertex is -1, -2 and it only crosses the y axis once, at 0,-5, then what is my other coordinates so that I can create a chart in excel to plot my graph.
Click here to see answer by drk(1908)

Question 249185: Solve equation by using the quadratic formula.
9x^2+5x-11=0

Click here to see answer by Alan3354(69443)

Question 249185: Solve equation by using the quadratic formula.
9x^2+5x-11=0

Click here to see answer by jim_thompson5910(35256)

Question 252414: "Word Problems Involving Products and Factoring"
Find two consecutive positive numbers such that the product of the sum and difference of the numbers plus 8 is the sum of their squares. can you solve this pls=( tyty so much
Click here to see answer by ankor@dixie-net.com(22740)

Question 249707: solve by graphing 4x^2-x+8=y or 4x^2-x+8=0 vertex= ( 1/8 , 127/16 )
Click here to see answer by Alan3354(69443)

Question 252419: find the value of p if the roots of the equation differ by 5
Click here to see answer by hokies(65)

Question 252421: Show that the points (4,5),(1,1) and (-2,5) are the vertices of an isosceles triangle. Find the area.
Click here to see answer by MRperkins(300)

Question 252441: one of the roots of the equation 5x^2 + kx = 4 is x = -2 the other root is
x = ...what ?
a -5/2 b -2/5 c 2/5 d 2 e 5/2
Click here to see answer by richwmiller(17219)

Question 252441: one of the roots of the equation 5x^2 + kx = 4 is x = -2 the other root is
x = ...what ?
a -5/2 b -2/5 c 2/5 d 2 e 5/2
Click here to see answer by stanbon(75887)

Question 252447: what is Qualitative and central tendency?
Click here to see answer by drk(1908)

Question 252483: a rectangle's length is y cm. Its width is 5 cm. Its perimeter is 34 cm. Find the length of the rectangle
Click here to see answer by drk(1908)

Question 252554: If x^2 −3x − 21 = y and x^2 − 4x −18 = y , what is the product of
(x − 5)(x − 7)(x + 2)(x + 3) in terms of y?
Click here to see answer by Edwin McCravy(20054)

Question 252549: If a and b are roots of 7x^2 − 2002x +182 = 0 , find the value of 1/a + 1/b
Click here to see answer by Alan3354(69443)

Question 252549: If a and b are roots of 7x^2 − 2002x +182 = 0 , find the value of 1/a + 1/b
Click here to see answer by JimboP1977(311)

Question 252536: How many different values of n are there such that n is a natural number and
n^2 - 20 is a perfect square?
(a) 1 (b) 2 (c) 3 (d) 4 (e) infinitely many
Click here to see answer by Alan3354(69443)

Question 252528: find the sum of all of the real values of x satisfying the following equation
(x^2 - 5x + 5)^x^2 - 17x + 70 = 1
a 5 b 10 c 17 d 22 e 27
Click here to see answer by drk(1908)

Question 252575: Which of the following quadratic equations has solutions x=6a and x=-3b?
A. x^2 - 18ab=0
B. x^2 - x(3b-6a)-18ab=0
C. x^2 - x(3b+6a) +18ab= 0
D. x^2 + x(3b-6a)- 18ab=0
E. x^2 + x(3b+6a) + 18ab=0
Click here to see answer by Alan3354(69443)

Question 252607: What is the value of x in m=(4x)^3+b/a^2+b=(20)?
Click here to see answer by drk(1908)

Question 252615: its a word problem :
michelle is 5 years younger than cindy . janet is ten years less than twice of cindy age . kenny is 10 years old . the ratio of janets age equal s the ratio of michelles age to kenny's age . how old are cindy , janet, and michelle ?
Click here to see answer by palanisamy(496)

Question 252647: p(d)= 1+d/33, gives the pressure in the atmosphere(atm) at a depth(d) in the sea
Note p(0)=1 atm, p(33)=2
find the pressure at 100 feet.
Click here to see answer by jim_thompson5910(35256)

Question 252662: Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1, 5).

Click here to see answer by Alan3354(69443)

Question 252645: m=0 (0,-7)
equation of the line is
y=
Click here to see answer by drk(1908)

Question 252643: In 1920, the record for a certain race was 46.6 sec. In 1940 it was 46.2 sec.
Let R(t)= the record in the race and t= the number of years since 1920.
Find the linear function that fits the data
R(t)=
What is the predicted record for 2003? 2006?
In what year will the record be 44.62 sec?

Click here to see answer by drk(1908)

Question 252702: convert y=x^2+6x-10 to vertex form completing the square.
convert y=x^2-9x+3 to vertex form completing the square.
Click here to see answer by drk(1908)

Question 252706: an emergency flare is fired from a vehicle. its height,h metres, is given by h(t) =-5t^2+35t+50,where t is the time in seconds. what is the maximum height reached by the flare? how long does it take to reach the maximum height? how long does it take the flare to hit the ground?
Click here to see answer by soccer139white(1)

Question 252705: determine the vertex of quadratic function stating axis of symmetry,minimum or maximum value,and domain and range on y=10x^2+5x-1
and y=-24x^2+18x+11
I am not understanding even though i read over examples.
Click here to see answer by drk(1908)

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