Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 635436: The function f(x) = 0.0037x^2 � 0.46x +36.63 models the average age at which Kentucky men were first married x years after 1900. In which year was this average age at a minimum?
Click here to see answer by ewatrrr(24785)

Question 635441: If the path of a diver diving from a diving board is given by the model: h = - 0.44t^2 + 2.2t + 10 where the h represents the height of the diver at t seconds after she leaves the board. Find the time (in seconds) that it takes for her to reach the maximum height for the dive.
Click here to see answer by ewatrrr(24785)

Question 635459: Hi! Could someone help me out here. I think I am "overthinking" this, and can not find my notes on this type of problem. Thanks.
Use the quadratic formula to solve the equation. Please provide a solution set for this problem. Thank you so much.
x^2.- 3x= -5

Click here to see answer by ewatrrr(24785)

Question 635457: Find the minimum value for the function: y = x^2 + 9x + 18
Click here to see answer by lwsshak3(11628)

Question 635476: A ball is tossed from a window that is 10 feet off the ground. The height, h (in feet), of the ball at any time, t (in seconds), is given by the equation h = - 16 t^2 + 12x + 10. What is the maximum height (in feet) that the ball will reach?
Click here to see answer by lwsshak3(11628)

Question 635542: Megan's background has a small pond that is 15 feet by 10 feet. Her mother wants her to add a wooden pathway around the pond, so that the total area of the pool and deck is 234 ft^2. How wide does the pathway need to be to fulfill Megan's mom's request?
Click here to see answer by solver91311(24713)

Question 635587: where is the Quadraic Formula method used most often in real life?
Click here to see answer by MathLover1(20849)

Question 635587: where is the Quadraic Formula method used most often in real life?
Click here to see answer by stanbon(75887)

Question 635936: What is the answer to this quadratic equation, x^4-2x^2-35=0
Step by step will be greatly appreciated. Thank you
Click here to see answer by mananth(16946)

Question 635952: A square garden has an area of 1024 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is the minimum radius of spray the sprinkler would need in order to water all of the garden?
Click here to see answer by mananth(16946)

Question 635988: The hypotenuse of a right triangle is 4 cm less than twice as long as one of the other side. If the third side is 16 cm long, find the length of the hypotenuse.
Click here to see answer by ewatrrr(24785)

Question 636066: p-2the square root of p then =8 the answer should be 16. i cleared the p and got rid of the -2 and ended up with 2p=64-16p+p^2.
i ended up with p=9+sqrt17, p=9-sqrt17. it says to check the answer it is supposed to ended up with one answer.
Click here to see answer by ewatrrr(24785)

Question 636080: Write an equation of a line in the form y=mx+b that passes through the points (-4, -1) and (2, -4).
Click here to see answer by solver91311(24713)

Question 636080: Write an equation of a line in the form y=mx+b that passes through the points (-4, -1) and (2, -4).
Click here to see answer by ewatrrr(24785)

Question 636048: the sqrt property tells us that if (2x-9)^2=9 is true then which of the following must also be true?
a. 2x=(_is under the +)
b. 2x-9=(_is under the +)9
c.2x=(_is under the +)18
d.2x-9=(_is under the +)3
Click here to see answer by jim_thompson5910(35256)

Question 636086: 3/4x + 8 = 5/8x - 16
Click here to see answer by Maths68(1474)

Question 636085: x+2/3 + x-1/4 = 3/2
Click here to see answer by ankor@dixie-net.com(22740)

Question 636156: So confused how to do this :find the y-intercept of y=2^x+2

Thanks a bunch~
Click here to see answer by Tatiana_Stebko(1539)

Question 636158: choose the one true statement about y=(2x-1)/(x-1)
a. it has a horizontal asympote at y=0
b. it has an odd function
c. it has no vertical asymptotes
d. it has a vertical asympote at x=1
Click here to see answer by Tatiana_Stebko(1539)

Question 636045: which of these is true about 7x^2-9x-11=0
a. the sum of its roots is 7/9
b. the product of its roots is 9/7
c. the sum of its roots is 11/9
d. the product of its roots is -11/7
ty
Click here to see answer by Tatiana_Stebko(1539)

Question 636436: Need helping solving this equation. I feel like I'm messing up.
Multiply
(4√7- 12√6)(3√7 + 9√6)
Click here to see answer by MathTherapy(10549)

Question 636492: x2+3x+2=0.
Click here to see answer by reviewermath(1029)

Question 636499: f(x)=x2 + 2x - 9
determine whether the given quadratic function has a minmum or maximun value. then find the coordinated of the mininmun or maximun point.
Click here to see answer by josmiceli(19441)

Question 636516: A)Apply the quadratic formula to find the roots (x-intercepts) of the given function.
B)Graph the function � You will also need to find the vertex of each parabola, and most likely additional points to complete the graph. Label the roots (if plot-able) and the vertex with their ordered pairs
1. f(x)= x^2+ 4
2. g(x)= x^2+ x+ 12
Click here to see answer by ewatrrr(24785)

Question 636680: x^2-4x=-4
Click here to see answer by asuar010(338)

Question 636820: use the intermediate value theorom to show that the polynomial function has a zero in the given interval x^5-x^4+2x^3-5x^2-13x+20; [1.3, 1.9]
Click here to see answer by ewatrrr(24785)

Question 636818: x^4+9x^3+12x^2-11x+21=0 solve the equation in the real number solution
Click here to see answer by ewatrrr(24785)

Question 636831: find a polynomial f(x) with real coefficients having the given degree and zeros
Degree 5; zeros: -7, i; 2+i
Click here to see answer by ewatrrr(24785)

Question 636842: for the following equation, state the value of the discriminant and then describe the nature of the solutions 19x^2+3x-15=0
Click here to see answer by jim_thompson5910(35256)

Question 636830: Find the remaining zeros?
Degree=4 Zeros=9i,7,-7
Click here to see answer by ewatrrr(24785)

Question 636837: find the complex zeros of the polynomial function. write f in factored form
x^4+10x^3-2x^2+90x-99
Click here to see answer by ewatrrr(24785)

Question 636848: X^4+10x^3-2x^2+90x-99
find the complete zeros of the polynomial dunction. write f in factored form
Click here to see answer by ewatrrr(24785)

Question 637013: 8/x - 3/x+1 = 5
Click here to see answer by checkley79(3341)

Question 636980: write the expression 9x^4+20x^2+12 in quadratic form
Click here to see answer by jsmallt9(3758)

Question 636829: X^5-x^4+2x^3-5x^2-13x+20; [1.3, 1.9]?
use the intermediate value theorom to show that the polynomial function has a zero in the given interval
Click here to see answer by jsmallt9(3758)

Question 637033: I believe this is a Quadratic Equation...
I need to solve the equation graphically by finding x-intercepts. Confirm by using factoring to solve the equation.
4x^2-8x+3=0
Please help!
Click here to see answer by ewatrrr(24785)

Question 28502: 1) Using the quadratic equation 2/3^2+X=1/2, perform the following
Click here to see answer by LB1973(1)

Question 637120: how do you solve x/5 =2/6

Click here to see answer by jim_thompson5910(35256)

Question 637203: We are supposed to factor polynomials and I just don't know what I'm doing!
3x^2-12x-63
Click here to see answer by jim_thompson5910(35256)

Question 637203: We are supposed to factor polynomials and I just don't know what I'm doing!
3x^2-12x-63
Click here to see answer by stanbon(75887)

Question 637180: Why does the x^2 coefficient in a parabola determine the direction it opens?
Click here to see answer by stanbon(75887)

Question 637219: Quadratic functions are often used in economics to represent both the production cost function and the revenue function. Suppose that the cost C, in dollars of producing x mobile phones is given by
C(x) = 400 +8x + 0.1x2
Whilst the revenue function R, also in dollars is
R(x) = x(32 = 0.1x)

A point where the cost and the revenue are equal is called a break-even point.
(a) How many mobile phones need to be produced to break even? You must use algebra to answer this question.

(b) Find the cost(s) and revenue(s) corresponding to your solution(s) to part (a).

(c) Draw the graphs of both functions on the same set of axes for the domain 0 ≤ x ≤ 150.
Clearly indicate on your graph where all your solutions to parts (a) and (b) are. This graph may be drawn by hand or with software. Give your graph a title and label its axes appropriately.

Click here to see answer by solver91311(24713)

Question 637266: solve using quadratic formula..
2x^2 - 4x + 3 =0
Click here to see answer by solver91311(24713)

Question 637359: A rectangular picture measuring 4 in. by 10 in. is surrounded by a frame with uniform width x. Write a quadratic function in standard form to show the combined area of the picture and frame.
Click here to see answer by Stitch(470)

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