Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 743526: z^4-9=0 I need four answers!
Click here to see answer by Alan3354(69443) About Me 
Question 743526: z^4-9=0 I need four answers!
Click here to see answer by Edwin McCravy(20054) About Me 
Question 743725: Story problem help.
ellis hits a baseball the path of the ball is approximated by: y = - 1/500 (x-200)^2 +76
I have solved some of the questions - baseball path vertex (200, 76)
Find the height of the ball after it traveled 220 feet horizontally.
-rewrite the equation above in standard form.

Click here to see answer by lwsshak3(11628) About Me 
Question 744325: 2x2 - 10x + 7 = 0

Click here to see answer by stanbon(75887) About Me 
Question 744337: Karens Backyard has a width of 25 meters and a length of 35 meters. SHe wants to put a rectangular flower garden in the middle of the backyard leaving a strip of grass of uniform width around all sides of the flower garden. If she wants to have 324 square meters of grass what will be the width and length of the garden
Click here to see answer by josmiceli(19441) About Me 
Question 744398: hello! i need help getting the vertex form of y=-3x^2+12x-8. I have a test tommarow and i dont get it:(
Click here to see answer by KMST(5328) About Me 
Question 744520: Use the remainder theorem to find f(–4) for the equation f(x)=2x^3–3x^2–45x –54.
−4 2 −3 −45 −54
+ ? ? ?
2 ? ? ? = f(–4)
Click here to see answer by josgarithmetic(39613) About Me 
Question 744535: Solve
%28t%2B5%29%5E2=12
Click here to see answer by mananth(16946) About Me 
Question 744539: n-3=4n
Click here to see answer by lenny460(1073) About Me 
Question 744560: Show that the quadratic function y=ax%5E2%2Bbx%2Bc can be written in the form y-k=a%28x-h%29%5E2 where the point (h,k) is the vertex of the parabola an+h=+-b%2F2a and k=+c-b%5E2%2F4a
Substitute the algebratic expressions for h and k into the general equation and transpose for y
Click here to see answer by fcabanski(1391) About Me 
Question 744589: A baseball is hit with an intial upward velocity of 80 feet per second will reach height h feet after t seconds as estimated by the formula h=3+80t-16^2
Click here to see answer by lynnlo(4176) About Me 
Question 744516: 1. You have 150 yards of fencing to enclose a rectangular region. One side of the rectangle does not need fencing. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?Complete the following steps to solve the above problem:
Write the equation for the area of the rectangular region:
A =
Write the equation for the fencing required:
150 =
Solve the equation for fencing for y.
Substitute the result of step c) into the area equation to obtain A as function of x.
Write the function in the form of f(x)=ax^2+bx+c.
Calculate –b/2a. If a < 0, the function has a maximum at this value.
This means that the area inside the fencing is maximized when x = ?
Find the length of side y.
Find the maximum area.
Click here to see answer by lynnlo(4176) About Me 
Question 744519: Find all the roots/zeros of 2x^3–3x^2–45x –54=0.
Complete the following steps to solve the above problem:
Use synthetic division to divide 2x^3–3x^2–45x –54 by x+3
[Hint: Delete the question mark to input each answer.]
−3 2 −3 −45 −54
+ ? ? ?
2 ? ? 0
Our answer gives us the following quadratic equation: 2x^2–9x –18=0. Divide this by (x − 6) using synthetic division:
6 2 −9 −18
+ ? ?
2 ? ?
Click here to see answer by lynnlo(4176) About Me 
Question 744528: Solve
%28x%2B1%29%5E2=-9
Click here to see answer by lynnlo(4176) About Me 
Question 744518: 1. You have 150 yards of fencing to enclose a rectangular region. One side of the rectangle does not need fencing. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
a. Write the equation for the area of the rectangular region:
A =
b. Write the equation for the fencing required:
150 =
c. Solve the equation for fencing for y.
d. Substitute the result of step c) into the area equation to obtain A as function of x.
e. Write the function in the form of f(x)=ax^2+bx+c.
Calculate –b/2a. If a < 0, the function has a maximum at this value.
f. This means that the area inside the fencing is maximized when x = ?
g. Find the length of side y.
h. Find the maximum area.
Click here to see answer by lynnlo(4176) About Me 
Question 744611: two positive integers have a sum of 14 and a product of 24. what are the integers?
Click here to see answer by lynnlo(4176) About Me 
Question 744611: two positive integers have a sum of 14 and a product of 24. what are the integers?
Click here to see answer by Alan3354(69443) About Me 
Question 744530: If one of the roots of the equation 2x^2 - x + C =0 is doubled the other root, find C.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 744524: Solve
%28x-3%29%5E2=16
Click here to see answer by sachi(548) About Me 
Question 744526: Solve
%28y%2B3%2F4%29%5E2=17%2F16
Click here to see answer by sachi(548) About Me 
Question 744633: to solve 3R+yr= m for R, we must first factor the left side
Click here to see answer by Alan3354(69443) About Me 
Question 744722: Our answer gives us the following quadratic equation: 2x^2–9x –18=0. Divide this by (x − 6) using synthetic division:
6 2 −9 −18
+ ? ?
2 ? ?
Click here to see answer by josgarithmetic(39613) About Me 
Question 744723: Find all the roots/zeros of 2x^3–3x^2–45x –54=0
Click here to see answer by Cromlix(4381) About Me 
Question 744750: THE HEIGHT OF A TRIANGLE IS 3 METERS GREATER THAN THE BASE. THE AREA OF A TRIANGLE IS 35 SQUARE METERS. FIND THE LENGTH OF THE BASE AND THE HEIGHT OF THE TRIANGLE.
Click here to see answer by Cromlix(4381) About Me 
Question 744884: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
𝑥2+𝑦2−8𝑥+14𝑦+65=36
Click here to see answer by MathLover1(20849) About Me 
Question 744881: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
𝑥2+𝑦2+12𝑥+10𝑦+61=16
Click here to see answer by Alan3354(69443) About Me 
Question 744996: The length of a rectangle is 1cm. more than twice its height. If the area of the rectangle is 351 sq cm, what is the perimeter of the rectangle?
I already tried to solve using these
L=2h+1
I got H=-1/3
P=2l+2h
I don't know what to do from there...?
Click here to see answer by stanbon(75887) About Me 
Question 744996: The length of a rectangle is 1cm. more than twice its height. If the area of the rectangle is 351 sq cm, what is the perimeter of the rectangle?
I already tried to solve using these
L=2h+1
I got H=-1/3
P=2l+2h
I don't know what to do from there...?
Click here to see answer by algebrahouse.com(1659) About Me 
Question 745041: I have this problem:
A roof shingle is dropped from a rooftop that is 100 feet above the ground. The height y (in feet) of the dropped roof shingle is given by the function y=-16t^2+100 where t is the time (in second)s since the shingle is dropped. Graph the function.
I have worked out that if I solve for t, t=2.5. But how do I proceed in graphing? My teacher doesn't explain anything and this problem is on my review sheet. We didn't ever see word problems like this in the chapter. Any help you can give me would be very much appreciated.
Click here to see answer by mananth(16946) About Me 
Question 745033: Factorise completely: 16m^2+15n-40m-6mn
Click here to see answer by lenny460(1073) About Me 
Question 745033: Factorise completely: 16m^2+15n-40m-6mn
Click here to see answer by KMST(5328) About Me 
Question 745056: Quadrilateral lkmn has vertices k(x, y) ,L(0, 3) M (8,-9) and N (9,-6) the equation of the line Kl is given by ay +21=x the gradiant of line Km is equal to -7 calculate the value of a and prove that klmn is a cyclic quadrilateral
Click here to see answer by lynnlo(4176) About Me 
Question 745305: Graph f(x)=x^2+4x+1 lable the axis of symmerty and vertex!
im stuck on this one thanks for the help!
Click here to see answer by stanbon(75887) About Me 
Question 745372: Solve 6/x+3 + 2/x = 5x-3/x^2-9 with steps please.
Click here to see answer by stanbon(75887) About Me 
Question 745538: whats the power of x
f(x)=2+-3
Click here to see answer by Alan3354(69443) About Me 
Question 745519: Find the number of real -number solutions of each equation
1. x^2+8=0
2. 3x^2-9x=-5
3. x^2+4x=-4
Click here to see answer by lynnlo(4176) About Me 
Question 745665: If a quadratic function is written in standard form (y=ax^2+bx+c) and it has a vertex of (3,-5) and passes through the point (5,-4)what is the sum of a, b and c ? Please show all steps and work and thanks for your help.
Click here to see answer by josgarithmetic(39613) About Me 
Question 745660: If a quadratic function has is written in standard form (y=ax^2+bx+c)and it has a vertex of (3,-5) and passes through the point (5,-4) what is the sum of a, b and c. Please show all steps and thanks so much for your help!
Click here to see answer by josgarithmetic(39613) About Me 
Question 745704: A quadratic equation is written in 4 equivalent forms below.
y = x2 - 14x + 48
y = (x - 6)(x - 8)
y = (x - 7)2 - 1
y = x(x - 14) + 48
Click here to see answer by josgarithmetic(39613) About Me 
Question 745780: Write a quadratic equation having the given numbers as solutions.
-3,only solution(Hint:It must be a repeated solution.)
Click here to see answer by josgarithmetic(39613) About Me 
Question 745780: Write a quadratic equation having the given numbers as solutions.
-3,only solution(Hint:It must be a repeated solution.)
Click here to see answer by nerdybill(7384) About Me 
Question 745857: Write a quadratic equation having the given numbers as solutions.
1-sqrt%2821%29%2F3,1%2Bsqrt%2821%29%2F3
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 745947: please help me solve this equation. (a+5)(a-6)=0
Click here to see answer by savvyhush23(50) About Me 
Question 745947: please help me solve this equation. (a+5)(a-6)=0
Click here to see answer by MathTherapy(10549) About Me 
Question 745946: please help me solve this equation. d2-5d+6=0
Click here to see answer by tommyt3rd(5050) About Me 
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