Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 194493: find the equation of a quadric function with x- intercepts (2,0) and (-7,0) and y intercept (0,5)
please i need help for this problem please i need help i have exam on Tuesday 05/07/09 so it is urgent!!!!!
Click here to see answer by jim_thompson5910(35256)

Question 194502: The sum of two consecutive odd integers is 56. Identify BOTH of the numbers.
Click here to see answer by RAY100(1637)

Question 194501: The perimeter of a rectangular basketball court blocked off by students on a playground is 300 feet. If the length of the court is two feet more than triple the width, find the length and the width of the blocked off court.
Click here to see answer by RAY100(1637)

Question 194512: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
H(x)=-(x-6)^2+1
Click here to see answer by RAY100(1637)

Question 194518: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
g(x)=-x^2-2x+8
Click here to see answer by RAY100(1637)

Question 194519: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
x=2y^2+4y+5
Click here to see answer by RAY100(1637)

Question 194500: Anita invested a certain amount of money into a savings account, and invested twice that amount into a mutual fund. If after one year of time the savings account earned 5% interest and the mutual fund earned 8% interest, and total earned from the two investments in that year was $105, how much did Anita initially invest into both?
Click here to see answer by stanbon(75887)

Question 194549: x2-3x-4=0
Click here to see answer by RAY100(1637)

Question 194506: Solve using quadratic methods.
x^2/3-3x^1/3-10=0
Click here to see answer by orca(409)

Question 194497: Write the perimeter formula of a rectangle, and then substitute the following conditions into the formula: The perimeter of a rectangular garden is 100 feet, and the length of the garden in 12 feet more than the width. Use x to represent the width.
Click here to see answer by doukungfoo(195)

Question 194511: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
f(x)=x^2-1
Click here to see answer by Mathtut(3670)

Question 194572: I am very confused solve and round to nearest1000th
6z^2+5z=-1
Click here to see answer by stanbon(75887)

Question 194574: Find the x intercepts
f(x)=2x^2 +8x-42
(2x+6)(x-7)
x+3 X-7
intercepts are - 3 and 7 is this correct?????
Click here to see answer by stanbon(75887)

Question 194574: Find the x intercepts
f(x)=2x^2 +8x-42
(2x+6)(x-7)
x+3 X-7
intercepts are - 3 and 7 is this correct?????
Click here to see answer by jojo14344(1513)

Question 194618: I actually have five questions.

1.) What number should be added to the expression x2 + 4x to change it into a perfect square trinomial?

2.) What number should be added to the expression x2 + 12x to change it into a perfect square trinomial?

3.)Solve the following equation by transforming it into a perfect square trinomial.
x2 - 14x = 15

4.)Solve the following equation by transforming it into a perfect square trinomial.
3x2 + 18x = 21

5.) Solve the following equation by transforming it into a perfect square trinomial.
x2 - 2x = 3

Click here to see answer by Mathtut(3670)

Question 194613: Hello!
Graph the following parabola. Calculate and identify vertex and intercepts in graph. Problem - y=x^2+4x+3

y= (x+1) (x+3) = Is this correct so far? I'm not sure howto graph this parabola. Can you help me? Thank you!!!

Click here to see answer by Mathtut(3670)

Question 194607: solve:-m^2=-81
a.(-9,9)
b.(-9)
c.(9)
d.(-9,0)
Click here to see answer by Mathtut(3670)

Question 194606: solve x^2-2x=15 by completing the square
a.(-5,3)
b.(5,-3)
c.(-5,-3)
d.(5,3)
Click here to see answer by Mathtut(3670)

Question 194604: whta number is used to complete the squrare for the equation x^2-12=0
a.36
b.-36
c.24
d-6

Click here to see answer by checkley77(12844)

Question 194706: i cant solve this quadratic equation by factoring, -56 = 15x + x^2....exept it is just a x with a 2 ubove it but that is wat it means
Click here to see answer by scott8148(6628)

Question 194712: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. And then rank them fastest to slowest using the problem numbers.
f(x) = 2x � 5
f(x) = x2 - 4x + 3
f(x) = x3 + 4x2 - 2x - 3
f(x) = 7x
f(x) = log x
Click here to see answer by solver91311(24713)

Question 194709: Question 2:
A Cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
Growth formula:
A(t) = A(o)(2)^(t/4) where t is number of minutes after t = 0
------------------------------------------------------------------
A(300) = 1*2^(300/4)
A(300) = 2^(75)
A(300) = 3.77x10^22 cells
Can you show it to us in standard notation with commas where needed?

Click here to see answer by Alan3354(69443)

Question 194753: Please Help. Use the discriminant to determine the number types of solutions of the quadratic equation t^2+8t+20=0.
Click here to see answer by jim_thompson5910(35256)

Question 194736: Hello,
I have been working on this problem for a while and can;t seem to come up with a reasonable solution.
The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?
D=R x T
r=40/6
r-5=40/6
40/r-5 + 40/r+5=6
r^2-25(40/r-5) + r^-25(40/r+5=6
40r^2+1000/r^2-25 + 40r^2-1000/r^2-25=6
(r-5)(r+5) 40/r-5 and (r-5)(r+5) 40/r+5
after cancelling: 40r+5 +40r-5=6
80r=6
r=74
I know that this is not correct, but I can't figure out where I went wrong.
Thanks,
Dave
Click here to see answer by solver91311(24713)

Question 194804: please help me solve this equation: -8n(10n-1)=0
please help me i'm stuck.
Click here to see answer by solver91311(24713)

Question 194754: Solve using the quadratic methods. Thanks!
(x+4)^4-(x+4)^2-6=0
Click here to see answer by solver91311(24713)

Question 194813: The question I have is how to determine the domain, such as in the question: State the domain in the function f(x)= 3x-6/x^2-25.
Click here to see answer by edjones(8007)

Question 194813: The question I have is how to determine the domain, such as in the question: State the domain in the function f(x)= 3x-6/x^2-25.
Click here to see answer by solver91311(24713)

Question 194881: if you only have one solution can there be a quadratic equation
?
Click here to see answer by user_dude2008(1862)

Question 194973: How would you us e the quadratic equation to answer:
4z^2+z-6=0
Thank you
Click here to see answer by stanbon(75887)

Question 194983: Solve 6x^2+38x+12=0
Click here to see answer by jim_thompson5910(35256)

Question 194985: Help I am so confused.
1) 2x^2=6 what are the solutions x=
what are the x intercepts
2) 10T^2-8T = 0 What is the nature of the solution
3) what is the vertex of f(x)=-x^2+12x+3

Click here to see answer by Alan3354(69443)

Question 194982: I have four questions.
1) Find and label the vertex and the line of symetry f(x)=1/3x^2
2) Find the line of symetry f(x)=(x+2)^2
3) Nature of the solutions x^2-6=0 I say 2 real solutions am I correct?
4) Number of tickets sold each day is given by N(x)=-0.3x^2 +7.2x+14 where x is the number of days since the show was announced. When will the daily tickets sales peak? How many tickets will be sold on the first day?
Thanks in advance
Click here to see answer by stanbon(75887)

Question 194988: How do you put factor form into vertex form?
example: y=(x^2+2)(x^2+5)
Click here to see answer by RAY100(1637)

Question 195127: y = x^2 (-3 less than or equal to X less than or equal to 3)
show work!
Click here to see answer by holly02(1)

Question 195150: I have a problem that when I solve it, it seems something is going wrong and I am getting a strange solution. The problem is 0=-16T^2+5T+15 I know that a=-16 and b=5 and c=15 we have to use the quadratic formula x=-b+sqrtb^2-4ac
Please help me!!!! thank you soo much
Click here to see answer by jim_thompson5910(35256)

Question 195230: When completing the square for the expression x^2-18x+_____ the last term becomes
ONLY GIVE ONE NUMBER, WITHOUT ANY CALCULATIONS.
I believe the answer is 1.

Click here to see answer by nerdybill(7384)

Question 195229: 4x squared equals 35 minus 4x
Click here to see answer by stanbon(75887)

Question 195228: For the expression 5x^2+50x
which is the correct FIRST STEP to completing the square is
A. Add 25^2 which is the constant term NEEDED to complete the square
or
B. Factor out a 5 so that the coefficient of x^2 is a 1 BEFORE proceeding
I believe the answer to this is A. First add 25^2.
Click here to see answer by solver91311(24713)

Question 195243: List the x intercepts for the quadratic equation
y=x^2-11x-12

I believe the answer is x=-1,12
Click here to see answer by solver91311(24713)

Question 195242: The equation for the axis of symmetry WRITTEN AS A DECIMAL
for y=x^2-7x+12 is x= _____ .
Click here to see answer by Mathtut(3670)

Question 195245: Including:
a) ALL X INTERCEPTS ARE CORRECT AND LABELED TO THREE DECIMAL PLACES
b) ALL Y INTERCEPTS ARE LABELED
c) The COORDINATES OF the MAXIMUM OR MINIMUM value are labeled
d) Graph y= -x^2+4x+1.
Click here to see answer by Mathtut(3670)

Question 195223: Solve for all solutions rounded to EXACTLY 3 DECIMAL DIGITS
X^2=30

Click here to see answer by Mathtut(3670)

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, 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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