Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1048966:
Click here to see answer by ikleyn(52776)

Question 1049017: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 4

feet

less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 12 feet.
Click here to see answer by jorel555(1290)

Question 1049023: How do I write 3 and -4 as a quadratic function in standard form

Click here to see answer by Fombitz(32388)

Question 1049177: I am working on this problem and believe I resolved half of the question but not the other half.
3x^2-6x+1=0
I found the discriminant of 24 But I need the number of real solutions
Click here to see answer by josmiceli(19441)

Question 1049178: On graph paper, graph the two lines associated with the equations in this system of equations.
3x - 3y = 124y - 8x = -16
Click here to see answer by josgarithmetic(39616)

Question 1049197: The parks department is planning a new flower bed outside city hall. It will be rectangular with dimensions 9m by 6m. The flower bed will be surrounded by a path of constant width with the same area as the flower bed. Calculate the perimeter of the outside of the path.
a) set up a quadratic equation to model the situation
b) use the quadratic formula to solve the problem
Click here to see answer by ankor@dixie-net.com(22740)

Question 1049150: The cost, in dollars, to produce x "I'd rather be a Sasquatch" T-Shirts is
C(x)=2x+26, x≥0 and the price-demand function, in dollars per shirt, is
p(x)= 30-2x, 0≤x≤15.
a)Find the profit function P(x).
b)Find the number of items which need to be sold in order to maximize profit.
c)Find the maximum profit.
d)Find the price to charge per item in order to maximize profit.
e)FIND AND INTERPRET THE BREAK EVEN POINTS.
I came up with the following solutions, which are correct per the answer section of my book:
a) P(x)= -2x�+28x-26
b) $7
c) Max profit: $72
d) price to charge for max. profit: $16
e) Cannot figure out. The given solutions per textbook are 1 and 13.
Please help me figure out:
FIND AND INTERPRET THE BREAK EVEN POINTS.
Thank you!!!
THANK YOU!
Click here to see answer by ewatrrr(24785)

Question 1049249: Herman arranged a game of water balloon volleyball for his daughter�s birthday party. Suppose the balloon has a height of h metres, t seconds after it is tossed, as defined by h = -5t^2 + 12t + 1.
a) Write an equation that shows how many seconds will pass before the balloon hits the ground. Solve this equation,rounded to the nearest hundredth of a second.
b) what is the maximum height reached by the balloon? When does it reach this height?
Click here to see answer by stanbon(75887)

Question 1049262: given the quadratic function f(x)=2x^2+kx-4r has a minimum point (k^2 - 3/4, k) where k and r are constants. Find the values of k and r.
Click here to see answer by josgarithmetic(39616)

Question 1049372: A pro basketball player is a poor free-throw shooter. Consider situations in which he shoots a pair of free throws. The probability that he makes the first free throw is 0.49. Given that he makes the first, suppose the probability that he makes the second is 0.65. Given that he misses the first, suppose the probability that he makes the second one is 0.41. Complete parts a through c below.
possiblity of him making both free throws is .49*.65 .3185
B. Find the probability that he makes one of the two free throws using the multiplicative rule with the two possible ways he can do this.

Click here to see answer by Aevans52(1)

Question 1049390: solve the equation if possible:
2x +7*sqr(x) = 4
Click here to see answer by rothauserc(4718)

Question 1049371: 4/9=15/z+10

Click here to see answer by Fombitz(32388)

Question 1049389: C(x)=x^2-16x+84
Click here to see answer by ikleyn(52776)

Question 1049384: -16t^2+32t+6=0

Click here to see answer by ikleyn(52776)

Question 1049384: -16t^2+32t+6=0

Click here to see answer by hussamuddin(51)

Question 1049378: The length of a rectangle is 6 ft more than its width. The perimeter of the rectangle is 68 ft. What are the dimensions of the rectangle?
Let w represent the width of the rectangle.
Click here to see answer by ikleyn(52776)

Question 1049402: Nate runs8 miles each week. Write an expression for the number of miles he runs in n weeks. Find the number of miles Nate runs in 5 weeks.
Click here to see answer by jorel555(1290)

Question 1049542: Does this system of equations have one solution, no solutions, or an infinite number of solutions?2y + 8x - 12 = 0
-------------------------4x + y = -6 [an infinite number of solutions],[no solution],[one solution]

Click here to see answer by ikleyn(52776)

Question 1049821: I have 3 questions
1.) X to the third + 6xsquared + 10x +0
2.) |5x-4|+2=7
3.)x to the 3/4=-16
Click here to see answer by stanbon(75887)

Question 1049922: which expression is the best estimate of 1 1/5 x 3 2/3?
A. 2 x 4
B. 1 x 4
C. 2 x 3
D. 1 x 3
Click here to see answer by ewatrrr(24785)

Question 1049923: which expression is the best estimate of 1.25 + (-2.69)?
A. 1 + (-3)
B. 1 + (-2)
C. 2 + (-3)
D. 2 + (-2)
Click here to see answer by ewatrrr(24785)

Question 1049923: which expression is the best estimate of 1.25 + (-2.69)?
A. 1 + (-3)
B. 1 + (-2)
C. 2 + (-3)
D. 2 + (-2)
Click here to see answer by stanbon(75887)

Question 1049923: which expression is the best estimate of 1.25 + (-2.69)?
A. 1 + (-3)
B. 1 + (-2)
C. 2 + (-3)
D. 2 + (-2)
Click here to see answer by MathLover1(20849)

Question 1049925: Tell whether each statement is true or false.
A. -3 3/4 + 1= -3 2/3 - (-1)
B. -12 7/12 + (-9 5/6) = 3 7/12
C. 6 2/5 - (-7 1/10)= 13 1/2

Click here to see answer by stanbon(75887)

Question 1049925: Tell whether each statement is true or false.
A. -3 3/4 + 1= -3 2/3 - (-1)
B. -12 7/12 + (-9 5/6) = 3 7/12
C. 6 2/5 - (-7 1/10)= 13 1/2

Click here to see answer by MathLover1(20849)

Question 1049942: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
3x + 2y = 2
-2x + y = 8
Click here to see answer by Alan3354(69443)

Question 1050215: Find the general equation of parabola axis parallel to x-axis and passing through (-1,3/2), (1,0), and (-3,-1)
kinda confused in what equation should I use in this problem
Click here to see answer by josgarithmetic(39616)

Question 1050231: Analyze the graph of the quadratic function. (The graph pictured is a parabola, pointing upward with its minimum in quadrant 2, left side mostly in quadrant 4, right side mostly in quadrant 1, and the minimum in quadrant 2 is slightly to the right of the y axis.
The standard form of a quadratic function is f(x) = ax^2 + bx + c. What possible values can a and c have for the given quadratic function Explain your reasoning.
If the vertex from of a quadratic function is f (x) = a(x-h)^2 +k...what possible value can a, h, and k have for the given quadratic function. Epxlain your reasoning.
If the factored form of a quadratic function is f (x) + a(x-r')(x-r")...what possible values can a,r' and r" have? explain your reasoning.

What
Click here to see answer by josgarithmetic(39616)

Question 1050228: Write a quadratic function for the parabola that passes through the point (2, -3) with roots (-6,0)and (4,0).

Click here to see answer by josgarithmetic(39616)

Question 1050230: Mitzu shoots and arrow from an initial height of 2 meters. The arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters. Write a quadratic function to represent the height of the arrow as a function of its distance. And determine the height of the arrow after it has flown a distance of 100 meters.
Click here to see answer by ikleyn(52776)

Question 1050232: Mitzu shoots an arrow from an initial height of 2 meters. The arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters.
Write a quadratic function to represent the height of the arrow as a function of its distance.
Determine the height of the arrow after it has flown a distance of 100 meters.
Click here to see answer by ikleyn(52776)

Question 1050229: Charlie kicks a soccer ball from the ground through a hoop that is 80 feet away at a height of 20 feet . The ball hits the ground 100 feet from where Charlie kicked it. Write a quadratic function to represent the height of the ball as a function of its distance. And determine the maximum height of the ball during its flight.

Click here to see answer by ikleyn(52776)

Question 1050260: 4x^2=2x+7
Click here to see answer by addingup(3677)

Question 1050303: Find the general equation of the parabola with axis parallel to x-axis and passing through the points (-1,3/2), (1,0) and (-3,-1)
I have reached to the point of :
9/4a + 3/2b + c = -1
C = 1
a - b + c = -3
I don't know what's the next step I used the formula: X = Ay^2 + By + C
Click here to see answer by stanbon(75887)

Question 1050418: One integer is 7 more than another. Their product is 294. Find the integers.
Click here to see answer by stanbon(75887)

Question 1050424: A plot of land is in the shape of a triangle. If one side is x meters, a second side is left parenthesis 3 x minus 2 right parenthesis(3x−2) meters and a third side is (4xminus−5) meters, express the perimeter of the lot as a simplified expression in x.
Click here to see answer by advanced_Learner(501)

Question 1050526: How do you write a quadratic equation with roots -�3 and 4 in standard form?
Click here to see answer by rothauserc(4718)

Question 1050510: Find all real and complex zeros of the polynomial, and write p(x) as the product of linear factors.
P(x)=x^4-9x^2+4x+12
Click here to see answer by ikleyn(52776)

Question 1050509: Find all real and complex zeros of the polynomial, and write p(x) as the product of linear factors.
P(x)=x^4-9x^2+4x+12
Click here to see answer by ikleyn(52776)

Question 1050508: Find all real and complex zeros of the polynomial, and write p(x) as the product of linear factors.
Click here to see answer by ikleyn(52776)

Question 1050551: Find 3 consecutive integers such that two times the sum of all three is 3 times the product of the larger two
Click here to see answer by jorel555(1290)

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