Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 585215: An airplane has a total of 152 seats. The number of coach-class seats is five more than six times the number of first-class seats. How many of each type of seat are there on the plane? Write two equations using c to represent coach-class seats and f to represent first-class seats. Solve using elimination or substitution
Click here to see answer by mananth(16946) About Me 

Question 585217: solve using the quadratic formula
1) 9x^2+10x-13=0

2) 5y^2-8y=2

Thanks

Click here to see answer by jim_thompson5910(35256) About Me 

Question 585401: which is the standard to H=-16t^2+vt+s
Click here to see answer by stanbon(75887) About Me 

Question 585432: ????
The Travel Time bus company has determined that when x tourists are given a particular bus
tour, the profit P is given by
P(x) = –0.25 x2 + 29.50x – 170
(a) What is the company’s profit if 42 tourists are given the tour?
(b) How many tourists should be given the tour in order to maximize the company’s profit?

Click here to see answer by nerdybill(7384) About Me 

Question 585708: i have a question my teacher taught me to do these equations using -b over 2a the putting the product i got from that into the regular Ax+Bx+C=y equation then i would take whatever i got from tose two eqautions and graph them with the y-intercept my question is how do no if it shifts from left to right and how do i deal with fractions in these
Click here to see answer by richwmiller(17219) About Me 

Question 586056: How do you find the vertex of this equation? x^2+3x-4?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 585577: Please help I am having real trouble with this. Thank you!!!!
Ticket Sales
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.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. 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).
Tickets = -x^2 + 5x + 29 = 0

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

b. Describe what happens to the tickets sales as time passes.
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.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation -x^2 + 5x + 29 = 0? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by KMST(5328) About Me 

Question 586812: how do you find the values of 'a, b and c when given the following points on the graph (0;3) , (-3;0) and (1;0)
Click here to see answer by solver91311(24713) About Me 

Question 586814: 8x + 2 = -4x2
Will the graph of the equation above intersect the x-axis in zero, one, or two points?
(Use the quadratic formula to help you answer this question.)

A) one
B)two
C)There is not enough information.
D) zero

2.2x2 + 4x = -2
Will the graph of the equation above intersect the x-axis in zero, one, or two points?
(Use the quadratic formula to help you answer this question.)

A) zero
C) There is not enough information.
C) one
D) two

Click here to see answer by solver91311(24713) About Me 

Question 586833: hi i really need someone to solve it fast (2x-1)^2 - (x-4)^2 + 12x - 60 = 0
i know the answer is x = 5/-5 but i need to know how .
thanks !!!

Click here to see answer by scott8148(6628) About Me 

Question 586897: Solve.
12(x-4)-(x+2)=(x+2)(x-4)
They book has the answer of 7 and 6.
Can you tell me how they got this answer?
I came up with x = 13 and 208.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 586935: Hello, I need to write an equation with the given roots, write the equation in the form ax^2 + bx + c = 0. The problem is 3, -4.
Click here to see answer by richwmiller(17219) About Me 

Question 586931: a rectangular pond is to be constructed in a park. the pond will be 5 feet by 7 feet and is to be surrounded by a sidewalk of x feet. the gardener is interested in the area the pond and sidewalk will encompass. write a representative function for the area of this region as a function of x. what kind of function is this?
Click here to see answer by richwmiller(17219) About Me 

Question 587072: solve 4(x-2)^2=36 by using square roots.
Click here to see answer by lwsshak3(11628) About Me 

Question 587081: Can you exlain the steps to find the answer of:
64=x^2+12x

Click here to see answer by algebrahouse.com(1659) About Me 

Question 587112: Solve:
3x^2=13x-4

Click here to see answer by xdragonfight(116) About Me 

Question 587121: Solve:
1=3x^2+2x

Click here to see answer by xdragonfight(116) About Me 

Question 587211: use the height as a function of time in motion equation: h(t) = -16t squared + vt + c A baseball player hits a pitched ball when it is 4 ft above ground. The initial upward velocity is 80 ft/sec. How long will it take for the ball to hit the ground?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 587320: 3p+2y=209
p+y=81
This would be correct right?
3p+2y=209
p=-y+81
Then,
3(-y+81)+2y=209
-3y+243+2y=209
Then,
-y=-34
y=34
So, don't you enter y into the equation? Like this,
p=-y+81
p=-34+81
p=47
So.
y=34 and p=47
My teacher says that this is wrong?

Click here to see answer by stanbon(75887) About Me 

Question 587434: Please help me solve this quadratic equation y=x^2-25 to find the line of symmetry. I tried using the formula -b/2a, but I got a strange answer, 25/2. Thank you.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 587675: How to solve this!x= -1 2x-4x-2
how do you solve it

Click here to see answer by Alan3354(69443) About Me 

Question 587809: Find p(-3)for the function p(x)=4x^4+8x^3-2x^2+13x+10?

Click here to see answer by Alan3354(69443) About Me 

Question 587871: How do I solve this equation 5x^2+3x-2=0 I need to see the steps as I am struggling to understand how to solve this using the quadratic formula
Click here to see answer by mananth(16946) About Me 

Question 587861: A Broadway theater has 400 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $80, main seats for $60 and balcony seats for $40. If all the seats are sold, the gross revenue to the theater is $23,200. If all the main seats and the balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $20,000. How many are there of each seat?
I've tried solving this by writing an equation and trying to solve for x but it didn't get me the correct answer, any help would be appreciated. Thank you.

Click here to see answer by mananth(16946) About Me 
Question 587861: A Broadway theater has 400 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $80, main seats for $60 and balcony seats for $40. If all the seats are sold, the gross revenue to the theater is $23,200. If all the main seats and the balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $20,000. How many are there of each seat?
I've tried solving this by writing an equation and trying to solve for x but it didn't get me the correct answer, any help would be appreciated. Thank you.

Click here to see answer by yogendra singh(2) About Me 

Question 587907: A new excavation site that fits a parabola with the equation y =x squared +11x+10. The hole must be more than 10m wide across the top for a bobcat to be able to dig it. If the ground level is taken as the x= axis,is the hole able to be dug by the bobcat?
Click here to see answer by josmiceli(19441) About Me 

Question 587957: Find the two numbers whose product is 3 and the larger number is 10 more than the smaller number.
Click here to see answer by Alan3354(69443) About Me 

Question 587930: X2+x-(a+2)(a+1)=0
Click here to see answer by KMST(5328) About Me 

Question 588097: -s^2+4s+32=0
Click here to see answer by stanbon(75887) About Me 

Question 588325: Please help ASAP with my algebra question. We are on quadratic equations and I am stuck on a word problem:
The area of a square can be doubled by increasing the length by 6 inches and the width by 4 inches. What is the length of the side of the square?

Click here to see answer by dfrazzetto(283) About Me 

Question 588384: The factors of 2x^2+5x+7
Click here to see answer by jim_thompson5910(35256) About Me 

Question 588428: The primeter of a rectangle is 30 cm,
Find the whole-number dimensions of the rectangle with:
(a) the greatest area
(b) the least area

Click here to see answer by solver91311(24713) About Me 
Question 588428: The primeter of a rectangle is 30 cm,
Find the whole-number dimensions of the rectangle with:
(a) the greatest area
(b) the least area

Click here to see answer by josmiceli(19441) About Me 

Question 588637: An object is propelled straight down with an initial velocity of 60 feet per second, from a height of 6,000 feet. How high is the object after 15 seconds?
Click here to see answer by Alan3354(69443) About Me 

Question 589117: HOW DO YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE
Click here to see answer by josmiceli(19441) About Me 

Question 589204: x 3 8
- + - = -
100 100 100
It says to multiply both sides and i dont get what its asking, because i think is already multiplied all the way.

Click here to see answer by baseballkid35(2) About Me 

Question 589210: ANOTHER EMERGENCY, PLEASE HELP ME! ASAP
SOLVE
t^2+10t+26=0

Click here to see answer by scott8148(6628) About Me 

Question 589207: EMERGENCY!!! NEED THIS IMMEDIATELY! PLEASE HELP!
Solve by factoring completely
10t^2-t-2=0

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 589626: the discriminant in the quadratic formula is the expression ____.
Click here to see answer by edjones(8007) About Me 

Question 589637: Solve: x+2√(x-8)=0
Possible answers are-
a. 4,16
b.-4,2
c.4
d.16

Click here to see answer by edjones(8007) About Me 

Question 589388: Please help me get the simplified answer to this equation: 21p%2B4p%5E2=-5 So far I did -21sqrt(21)^2-4(4)(5)/2(4). This equals -21+sqrt(361) all over 8, -21-sqrt(361) all over 8. How do I simplify this answer?
Click here to see answer by KMST(5328) About Me 

Question 590122: Suppose you are solving a quadtratic equation with no constant term (c = 0). Would you use factoring or the quadratic formula to solve? Why?


Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 590129: Explai a sequence of steps that can be used to solve any quadratic equation in the quickest way.


Click here to see answer by stanbon(75887) About Me 

Question 590144: I need help on how to solve quadratic equations using square roots. I have two problems I need help with:
1.) (2x+1)^2=25

Click here to see answer by Alan3354(69443) About Me 
Question 590144: I need help on how to solve quadratic equations using square roots. I have two problems I need help with:
1.) (2x+1)^2=25

Click here to see answer by richwmiller(17219) 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