Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 991261: At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a season when about 600 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (600 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Click here to see answer by ankor@dixie-net.com(22740)

Question 991519: what are two factors of 24 that add up to -10?
Click here to see answer by macston(5194)

Question 991616: 4(x+5)=3(3x-2)-2(x+2)
Click here to see answer by Timnewman(323)

Question 991616: 4(x+5)=3(3x-2)-2(x+2)
Click here to see answer by ikleyn(52778)

Question 991845: A positive number is divided into two parts such that the squares of the two parts is 20. The square of the larger number is 8 times the smaller number. Take the smaller number as x.

Click here to see answer by Theo(13342)

Question 991899: 1+2+3=40
2+3+4=85
3+4+5=148
4+5+6=229
5+6+7=???
Click here to see answer by ikleyn(52778)

Question 991925: Please help me solve the question
Find the whole number such that twice its square added to itself makes 10.

Click here to see answer by macston(5194)

Question 992194: A person standing close to the edge on the top of a 270-foot building throws a baseball vertically upward. The quadratic equation
h = -16 t^2 + 160 t + 270
models the ball's height \, h \, above the ground in feet, t seconds after it was thrown.
How high is the ball after 5 seconds?

How many seconds does it take until the ball finally hits the ground? Round to the nearest tenth of a second.

Click here to see answer by Alan3354(69443)

Question 992196: Solve the following equation. Separate your answers with commas. Repeated roots should only be entered once.
1/x-7 + 1/x-2 = 9/14
Click here to see answer by stanbon(75887)

Question 992195: A rectangle is 6 times as long as it is wide. The area is 96 square feet. What is the perimeter of the rectangle?

Click here to see answer by Alan3354(69443)

Question 992195: A rectangle is 6 times as long as it is wide. The area is 96 square feet. What is the perimeter of the rectangle?

Click here to see answer by stanbon(75887)

Question 992229: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 245 square feet and the dimensions of the pool are 6 feet by 22 feet, how wide is the walk?
Click here to see answer by josgarithmetic(39617)

Question 992292: y^2 - x^2 = 32 and y - x = 2 ...what's the value of x and y....thank you
Click here to see answer by MathTherapy(10552)

Question 992267: Construct the quadratic equation in the form az2+bz+c =0 having the following solutions. Find the coefficients a, band c for each equation.
(a)
(a) z=7, z=−2.
___ z2+ ___ z+ ___ =0

(b) z=−3+4i, z=−3−4i.
___ z2+ ___ z+ ___ =0
Click here to see answer by solver91311(24713)

Question 992241: A person standing close to the edge on the top of a 270-foot building throws a baseball vertically upward. The quadratic equation
\qquad\qquad h = -16 t^2 + 160 t + 270
models the ball's height \, h \, above the ground in feet, t seconds after it was thrown.
How high is the ball after 5 seconds?

??feet.
How many seconds does it take until the ball finally hits the ground? Round to the nearest tenth of a second.
?? seconds.
(I plugged in 5, then set it equal to 0, none of it worked, I'm probably doing it wrong)
Click here to see answer by rothauserc(4718)

Question 992362: Write an equation that has the given solutions.
-6/5 and 5/9
Click here to see answer by MathLover1(20849)

Question 992365: Write an equation that has the given solutions. (There are many correct answers.)
8, , and
Click here to see answer by ikleyn(52778)

Question 992364: Write an equation that has the given solutions. Thank you!!
i, −i
Click here to see answer by ikleyn(52778)

Question 992402: Let f(x) = 3x4 − 14x2 + 4x − 5.
Find the local maximum and minimum values of f and the values of x at which they occur.
Find the intervals on which f is increasing and on which f is decreasing.
Click here to see answer by stanbon(75887)

Question 992497: 1/^x2 + 5/x + 6 = 0
Can you help me solve this equation?
Click here to see answer by rothauserc(4718)

Question 992634: Find the minimum value of x^2-2x-8, if it has one.
Click here to see answer by MathLover1(20849)

Question 992635: Put the equation y=4x^2+7x+6 in vertex form and state the values of a, h, and k. Enter the exact answers.
Vertex form= a(x-h)^2+k
Click here to see answer by stanbon(75887)

Question 992637: Put the function 2x^2+12x+3 in vertex form and state the values of a,h, and k.
vertex form= a(x-h)^2+k
Click here to see answer by josgarithmetic(39617)

Question 992640: Write the expression (x-9)^2-4 in factored form and identify a,r, and s. assume r is less than or equal to s.
factor form= a(x-r)(x-s)
Click here to see answer by josgarithmetic(39617)

Question 992752: 5x^(1/3) + 3x^(2/3) = 8
Can you help me? I hope I wrote it right; it's 5x to the one third plus 3x to the two thirds. Thank you!
Click here to see answer by stanbon(75887)

Question 992751: 3x + 14 = 5
Can you help me solve this?
Click here to see answer by stanbon(75887)

Question 992750: 2[(x)/(x+2)]^2 - 3[(x)/(x+2)] - 9 = 0
Can you help me?
Click here to see answer by Edwin McCravy(20054)

Question 992750: 2[(x)/(x+2)]^2 - 3[(x)/(x+2)] - 9 = 0
Can you help me?
Click here to see answer by AnlytcPhil(1806)

Question 993056: (k - 2)x^2 + 50x + 2k + 3 = 0
How do I find the value of k if the roots are reciprocal
The ans is -5 but i don't know the method
Click here to see answer by stanbon(75887)

Question 993370: A javelin is thrown from a height of 2m above the ground.
It lands 60 meters away. The path of the javelin can be represented by the equation
a) What does x and y represent in this situation?
b)If it is known that the point (10,15) lies on the path given by the equation , use algebra and all the information given in a) and b) to show
that:
, and c = 2
c)Hence find the height of the javelin after travelling 20m horizontally
For a) Does y represent the height of the javelin, and x represent the horizontal distance traveled?
For b) I have no idea :c
For c) Really stuck!
It would be very helpful if you could draw up a graph too!! Thanks for help!!
Click here to see answer by MathLover1(20849)

Question 993631: Where do lines y = x - 1 and y = -5x + 11 intersect?
Click here to see answer by Cromlix(4381)

Question 993631: Where do lines y = x - 1 and y = -5x + 11 intersect?
Click here to see answer by stanbon(75887)

Question 993728: 2x^2+3b-4=0
Click here to see answer by ikleyn(52778)

Question 993876: A 1.8 meters tall person walks across the path of the javelin. He is 58 meters away from where the javelin was launched. Will he be hit by the javelin? Justify your answer.
The quadratic equation i'm given is:
Do I replace 'x' with 58 and solve for y? so i know the height of the javelin at x=58 or 58 meters away to see if the javelin hit the person?
Like,

y ≈ 3.29m
Hence the javelin does not hit the person that is 1.8 meters tall.
Is this how i 'justify'?
Click here to see answer by Alan3354(69443)

Question 993880: Hi
i am wondering if this quadratic expression can be factored in anyway:
3x^2-26
I tried

Not sure if this works :s
Click here to see answer by Alan3354(69443)

Question 993880: Hi
i am wondering if this quadratic expression can be factored in anyway:
3x^2-26
I tried

Not sure if this works :s
Click here to see answer by Theo(13342)

Question 993886: Hi
I am given this equation, h= height (meters), t= time (seconds)
h=2t(50-t)
How long is the rocket in air?
-I just applied the null factor law for that equation, and got:
2t = 0
t=0
and
50-t=0
-t=-50
t=50
Does that mean the rocket was in the air for 50 seconds?
or did i do something wrong or did not take in to account
thank you
Click here to see answer by Alan3354(69443)

Question 994034: In general, why might it be important to solve an equation for different variables?
For example, the equation for degrees Fahrenheit is given by, where C is degrees Celsius. In this example, why�or when�would we want to solve for C? Feel free to discuss other examples.

Click here to see answer by Boreal(15235)

Question 994033: The graph of Quadratic equation of opens up if(?) and down if(?). Explain why or how that statement is true.
(Hint: consider what happens as x gets more and more positive or more and more negative.)

Click here to see answer by Boreal(15235)

Question 994062: The edges of three cubes are consecutive odd integers. If the cubes are stacked on a deck, as shown, the total exposed surface area is 381. Find the lengths of the sides of the cubes.
Click here to see answer by Alan3354(69443)

Question 994123: What is the answer if you derive a Q.F from table or graph given point (0,5),(4,1),(-3,13)
Click here to see answer by solver91311(24713)

Question 994128: (a)If the quadratic equation of 6x^2－7x＝2k has two distinct real roots,
(i) find the range of possible values of k,
(ii) find the roots of the equation when k is the smallest integer in (a)(i)
(b) Using the result of (a)(ii), solve －3(x＋p)^2＋7/2(x＋p)－5/6＝0, where p is a constant. (give the answers in terms of p.)

Click here to see answer by solver91311(24713)

Question 994153: The length of a rectangle is 10 cm more than its width. The area of the rectangle is 56 cm2.
Calculate the width of the rectangle.
Click here to see answer by Alan3354(69443)

Question 994206: Solve the equation:
Ally inherits $65,000 and decides to invest part of it in an education account for her daughter and the rest in a 10-year CD. If the amount she puts in the education account is $12,000 more than twice the amount she puts in the CD, how much money does Ally invest in each account?
Click here to see answer by stanbon(75887)

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