Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 476476: I am trying to solve x^2+14x=5.
I make it to the middle of the problem and then get lost. Please help!

Click here to see answer by Edwin McCravy(8999) About Me 
Question 476476: I am trying to solve x^2+14x=5.
I make it to the middle of the problem and then get lost. Please help!

Click here to see answer by MathLover1(6806) About Me 

Question 476481: solve by quadratic formula :

2x^2-5x+6=0

Click here to see answer by jim_thompson5910(28704) About Me 

Question 476454: solve for x
4x(x-7)-5x(x-6)=-3

Click here to see answer by mananth(12270) About Me 

Question 476484: Can you explain exactly how a Quadratic equation works and how you put it on a graph, i.e parabola?
Click here to see answer by Theo(3504) About Me 

Question 476832: 1. (30 points) In 1981, Vadimir Poliakov (USSR) set a world record of 19ft ¾ in for the pole vault (www.polevault.com). To reach that height, Poliakov obtained a speed of approximately 36 feet per second on the runway. The formula h = -16t2 + 36t gives his height t seconds after leaving the ground.
a. Does the graph of this equation open up or down? How did you determine this?

Click here to see answer by Alan3354(31509) About Me 

Question 476845: Use the quadratic formula to solve the equation:
0 = x^2 + x - 20
Thanks!

Click here to see answer by Alan3354(31509) About Me 

Question 476848: Use the quadratic formula to solve the equation:
0 = x^2 - 5x + 6

Click here to see answer by jim_thompson5910(28704) About Me 

Question 476857: The revenue from selling x units of a product is given by
y = -0.0002x^2 + 20x. How many units must be sold in
order to have the greatest revenue? (Find the x-coordinate
of the vertex of the parabola.)

Click here to see answer by stanbon(57953) About Me 

Question 476855: Decide how many solutions this equation has:
x^2 + 3 = 0

Click here to see answer by stanbon(57953) About Me 

Question 476882: x(x+3)(x+6)(x+9)+56= (x+7)(x+2)(x*x+9x+4)
Click here to see answer by layaya(7) About Me 
Question 476882: x(x+3)(x+6)(x+9)+56= (x+7)(x+2)(x*x+9x+4)
Click here to see answer by bucky(2189) About Me 

Question 476930: I actually have 2 questions and i am really having problems. i have tried the first one but it does not look right. and the second is a word problem one and i cant not even figure out how to do this one.
for the randicand i am using the capital V

1. solve: 15x^2 + 7t = 2
put to standard: 15x^2 +7t - 2 =0
a=15 b=7 c= -2
x= -7+- V7^2 - 4(15)(-2)/2 * 15
x= -7+- V49-120/30

x = 1/6 or x = 0.3



the second one ( word prob.)
Abby rows 10 km upstream and 10 km back in a total of 3 hr. the speed of the river is 5 km/h. find abbys speed in still water.

Click here to see answer by jim_thompson5910(28704) About Me 

Question 476940: ( word prob.)
Abby rows 10 km upstream and 10 km back in a total of 3 hr. the speed of the river is 5 km/h. find abbys speed in still water.

i have no idea how to even start this one...can someone please help me. when it comes to word problems i really do not have a clue.
thanks in advance

Click here to see answer by jim_thompson5910(28704) About Me 

Question 476107: how do you graph y=(-1/3)(x+1)(x-5)
Click here to see answer by bucky(2189) About Me 

Question 476936: Give the exact and approximate solutions to three decimal places. y^2 - 6y + 9 =100
Click here to see answer by robertb(4012) About Me 

Question 476928: x(x+3)(x+6)(x+9)+56
Click here to see answer by robertb(4012) About Me 

Question 476973: A picture 18 cm by 15 cm, has a uniform frame around it. If the area of the frame is 234 cm , find the dimension of the frame.
Click here to see answer by lwsshak3(6753) About Me 

Question 477042: examples of quadratic equation

Click here to see answer by Alan3354(31509) About Me 

Question 477118: Hello. My question is %282x-3%29%28x%2B4%29=6 I need to solve by factoring. I tried to but this into standard form, and i came up with 2x%5E2%2B5x-18=0 When I put it into my calculator, I found the intersects were (-4.5,0) and (2,0). However, I need to know how to do this without using a calculator. Do you know of any factoring methods that would help me out on this problem?
Click here to see answer by richard1234(5390) About Me 

Question 477365: Find the
vertex
line of symmetry
maximum or minimum value
graph the function
f(x)=-2x^2+2x+2

Click here to see answer by lwsshak3(6753) About Me 

Question 477474: The number of people who are sick t days after the outbreak of a flu epidemic is given byn the equation p=-t^(2)+100t+25. What is the maximum number of people sick during the outbreak?
Click here to see answer by ewatrrr(10682) About Me 

Question 477477: Find the vertex and axis of the parabola y-4=-2(x+3)^2
Click here to see answer by ewatrrr(10682) About Me 

Question 477539: Problem:
Determine whether 3xy^2+4y^2 = 4x^2-11x defines y as a function of x.
I do not even know how to BEGIN this problem, and can find no similar problems in the book to work for practice. If you could just point me in the right direction, I would be most grateful!

Click here to see answer by stanbon(57953) About Me 

Question 477657: Let M = f(t) be the average number of meals per person purchased at restaurants annually in
the year that is t years since 1900. An equation of f is f(t) = 2.22t – 71.01.
a. Find an equation for f^–1.
b. Find f(125)
c. Find f^–1 (125)
Please solve a,b, and c for the question above.
Please show me step by step to get the answer. Thanks
I really DO NOT know how to solve this problem. Please HELP ME!! Thanks

Click here to see answer by stanbon(57953) About Me 

Question 477831: How do I use the quadratic formula to solve for x if 3x+35=26x
Click here to see answer by Alan3354(31509) About Me 

Question 477792: 〖25x〗^2-10x-10 and 〖4x〗^2+48x+44...thanks...
Click here to see answer by Alan3354(31509) About Me 

Question 477801: • Post a response to the following: If you are looking at a graph of a quadratic equation y = ax2 + bx + c, how do you determine where the solutions to 0 = ax2 + bx + c are? Compare this with solving the equation using the quadratic formula.
Click here to see answer by Theo(3504) About Me 

Question 477973: The area of a triangular poster is 84 square feet. Its height is 2 feet
shorter than the length of its base.
The formula for the area of a triangle is A = 1/2bh.
Find the height of the triangle.

Click here to see answer by nerdybill(7003) About Me 

Question 478003: Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by quadratic equations…….
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this? (5pts)

b. Describe what happens to the tickets sales as time passes? (5pts)
.

c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.) (10pts) Show all work properly for full credit. Equation Editor or a similar program is needed here.

Click here to see answer by mananth(12270) About Me 

Question 478235: Give exact and approximate solutions to three decimal places
x^2+12x+36=64
How do I solve this?

Click here to see answer by Alan3354(31509) About Me 
Question 478235: Give exact and approximate solutions to three decimal places
x^2+12x+36=64
How do I solve this?

Click here to see answer by MathLover1(6806) About Me 

Question 478190: what is the vertex of f(x)=x^2-8x-5
f(x)=-x^2+10x+6
f(x)=3x^2-12x+9
f(x)=-2x^2+2x+7
f(x)=8-x^2
I have bee trying to solve and find the vertexes for these five problems since last Sunday. I don't understand quadratic equations at all.

Click here to see answer by htmentor(807) About Me 

Question 478397: how to use the quadratic formula to solve for x if 3x(squared)+35=26x

Click here to see answer by mananth(12270) About Me 

Question 478401: Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph

Click here to see answer by lwsshak3(6753) About Me 
Question 478401: Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph

Click here to see answer by mananth(12270) About Me 

Question 478425: Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out.
You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x.
(x = 1 is the day tickets go on sale).
Tickets = -0.6x2 + 12x + 11
Does the graph of this equation open up or down?
How did you determine this?




Describe what happens to the ticket sales as time passes.





Use the quadratic formula to determine the last day that tickets will be sold.
Hint: Write your answer in terms of the number of days after ticket sales begin and you can’t have partial days. -0.6x^2+12x+11=0
Will tickets peak or be at a low during the middle of the sale?
How do you know?
After how many days will the peak or low occur?
Hint: Use the axis of symmetry formula.
How many tickets will be sold on the day when the peak or low occurs?
Hint: Substitute your value from question 7 into the original quadratic equation.
What are the coordinates of the vertex?
How did you determine this?
How many solutions are there to the original quadratic equation given in question 3?
How do you know?

Click here to see answer by mananth(12270) About Me 

Question 42494: Compute the value of the discriminant and give the number of real solutions to the quadratic equation
3x^2+2x+1=0
I need to know the discriminant and the number of real solutions

Click here to see answer by iandave_5567(1) About Me 

Question 478399: Let y=2x(squared0)+7x+5.Use the quadratic formula to determine the x-intercepts,find the y-intercepts and then sketch the graph.

Click here to see answer by mananth(12270) About Me 

Question 478501: How to use the quadratic formula to solve for x if 3x(squared)+35=26x
Click here to see answer by MathLover1(6806) About Me 
Question 478501: How to use the quadratic formula to solve for x if 3x(squared)+35=26x
Click here to see answer by cleomenius(959) About Me 

Question 478504: In a classroom, there are 2 more columns than rows of desks. If there are 48 students find how the desks are arrange.
Click here to see answer by cleomenius(959) About Me 

Question 478580: Please help. How do I solve for x?
6x^2=-31x-5

Click here to see answer by Earlsdon(6294) About Me 

Question 478705: i am designing a outline of a glass and can you turn this coordinates into functions;
1, 0,80 to 20,10
2, 0,-80 t0 20, -10
3, 20,10 to 90,10
4, 20,-10 to 90, -10
5, 90,10 to 120,50 to 140,40 to 160,50
6, 90,-10 to 120,-50 to 140,-40 to 160,-50

Click here to see answer by solver91311(17072) About Me 

Question 478752: can someone help me simplify this question
x^2-x-12/x+1 divided by 2x+6/x^2-3x-4

Click here to see answer by mananth(12270) 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