Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 627789: HOW CAN WE SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE FORMULA?thankyou.

Click here to see answer by solver91311(24713)

Question 627887: Not sure why I am not understanding these problems. Might just be the new medication I am on. Please help me.
1) Little City Air Tran had a passenger reduction and lost 1/6 of its passengers. If 110 remain after the reduction, how many were there originally?
2)A box contains 37 coins consisting of pennies, dimes, and quarters, the total value is $2.23. How many pennies (equal to the amount of dimes) are there? How many quarters are there?
3) A crew receives a check for $4250 for a job. A journeyman makes 300% of what an apprentice makes, and a master makes 150% of what a journeyman makes. How much does the apprentice make? How much does the master make? How much does the journeyman make?
Would really appreciate it if someone would help me. I have tried working these problems and the answers I get do not seem correct. For instance in problem 1) I was getting 660 for the original number of passengers.
Click here to see answer by ankor@dixie-net.com(22740)

Question 627912: 64r^2-9=0 Please solve by factoring. Thank you
Click here to see answer by ewatrrr(24785)

Question 628048: how do you solve using factoring 12s(squared) + 18s = 0
Click here to see answer by reviewermath(1029)

Question 628033: 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).
- 0.4x2 + 13x + 14
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? - 0.4x2 + 13x + 14. 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 solver91311(24713)

Question 628056: Find the value of k if f(x) =x^2+kx-35 has x= 5 as a 'root.
Click here to see answer by reviewermath(1029)

Question 628056: Find the value of k if f(x) =x^2+kx-35 has x= 5 as a 'root.
Click here to see answer by stanbon(75887)

Question 628141: 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 stanbon(75887)

Question 628229: Factor x^6 + x^3 � 6 = 0 and solve for x.
Click here to see answer by richwmiller(17219)

Question 628162: tickets= - 0.4x^2 + 13x + 14
use the quadratic equation to determine the last day tickets will be sold and how many will be sold on the day the peak or low occurs and write the answers in terms of the number of days after ticket sales begin. What is the point of the vertex? How does this number relate to your answers
Click here to see answer by jsmallt9(3758)

Question 628443: steps to solve x^4 + 2x^2-15=0
Click here to see answer by lwsshak3(11628)

Question 628443: steps to solve x^4 + 2x^2-15=0
Click here to see answer by stanbon(75887)

Question 628517: 4. Take a number. Add 1. Square the result. Then subtract from it the product of the original number times two more than the original number. What did you get? I claim you will always get 1. Can you explain? I�m very confused on what to do here.

Click here to see answer by richard1234(7193)

Question 628396: the distance, D in feet traveled by a freely falling object is given by the equation D = 16t^2 where t is time in seconds. Use this formula to find the time it wold take for an object to fall to the ground from a cliff that is 576 feet high
Click here to see answer by jsmallt9(3758)

Question 628562: Elaine is fond of making a wish everytime her car's adometer displays a number read the same forward and backward. At 10:18am the adometer read 87978 km. Traveling continuously the adomater displayed the next possible number that read the same forward and backward at 11:13am. During this time, what was the car's average speed in kilometers per hour?
Click here to see answer by josmiceli(19441)

Question 628587: I have all my homework done except for these last couple of questions and was hoping for some help. I really detest algebra.
1. |x|6
2. √20-8x=x
Thank in advance.
Rob
Click here to see answer by Alan3354(69443)

Question 628585: If P dollars are deposited at an interest rate r and compounded n times, the future value An can be found by the formula An=P(1=r)^n. Find the rate of interest if a principal amount of $5500 grows to $68990 in 2 years if interest is compunded annually?

Click here to see answer by jsmallt9(3758)

Question 628655: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0.
The solutions are -3,1.
Click here to see answer by Alan3354(69443)

Question 628850: Write the following in standard form a+bi
a.) (3-4i)(2+i)
b.) 6-i/1+i
c.) i6+i4+i2+1
Click here to see answer by Alan3354(69443)

Question 628915: A ladder is leaning agains ta building. The distance from the bottom of the ladder to the building is 2 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if the distance is 1 ft less than the length of the ladder?
Click here to see answer by lwsshak3(11628)

Question 628946: If x^2+kx+64=(x+r)^2 and r>0, what is the value of k?
Click here to see answer by jsmallt9(3758)

Question 628978:
I did this:
(2x^3+9x^2-56x)(3x+10)=0
6x^4+27x^3-168x^2+20x^3+90x^2-560x=0
6x^4+47x^3-78x^2-560x=0
6x^3+47x^2-78x-560=0
But I do not know what to do afterwards (I am supposed to solve for x).
Click here to see answer by Alan3354(69443)

Question 629109: How do i find the exact values of x for which 3(2x-1)^2+2(2x-1)-8=0?

Click here to see answer by lwsshak3(11628)

Question 629142: My problem is I don't know how to read the answer given in a Quadratic graph example, Where the curve cuts the x axis, the answer was about 4.37, -1.37,
or Where the curve and line cross read the x value about 5.54 and -0.54.
Ok I can understand an example that shows where a parabola cuts the x axis at 2 points say 3 and -3, I just don't understand where the 2 extra numbers are coming from in something like 5.54 and -0.54? I would be guessing thinking say 5.54 I would first go to 5.5 on the x axis? I'm guessing its read 5.5 being halfway between 5 and 6, but where does the 4 come from? or in the first examples where does the 7 come from?
Thanks
Click here to see answer by ewatrrr(24785)

Question 629241: A projectile is thrown upward so that its distance in feet above the ground after t seconds is given by h(t)=-12t^2+360t. What is its maximum height ?
Click here to see answer by solver91311(24713)

Question 629272: 1. Find an equation for a quadratic function whose only x-intercept is (5,0).
2. Find the x-coordinate of the vertex of a parabola that contains the points (-2,7) and (9,7). Can you find the coordinates of the vertex?
3. Find an equation for a quadratic function that has vertex (4,3) and opens up. How many x-intercepts will the graph of the function have?
Click here to see answer by reviewermath(1029)

Question 629261: Write a mathematical sentence that expresses the information given below. Use t as your variable name. If necessary:
Susanne checks the temperature at 10:00 p.m. She notices that, if the temperature falls by 3 more degrees, it will break the record low temperature for that day, which is 26 degrees.
Click here to see answer by Theo(13342)

Question 629299: If the cost, C(x), for manufacturing x units of a certain product is given by C(x)= x^2 - 30x + 7000 find the number of units manufactured at a cost of $8000
Click here to see answer by richwmiller(17219)

Question 629300: a manufacturer determines that the profit in dollars for manufacturing n units is P= 3n^2-30n-170. (Assume that n is a postive integer) How many units are produced when the profit is $430?
Click here to see answer by ewatrrr(24785)

Question 629365: the distance,s(t) in feet traveled by a freely falling object is given by the function s(t)=16t^2 where t is time in seconds use this formula to find the time it would take for an object to fall to the ground from a cliff that is 1024 feet high
Click here to see answer by Alan3354(69443)

Question 629398: 200x^2-240x+72
Click here to see answer by Alan3354(69443)

Question 629539: what are some word problems in algebra related to the application of quadratic equation? please help..
Click here to see answer by Alan3354(69443)

Question 629599:
Use a graphing calculator to find the equation of the curve of best fit. What is the constant (the number by itself)?

x

10

15

20

25

30

35

y

400

500

602

630

590

510

Choose one answer.

a. 24.11

b. -24.74

c. 25.12

d. -20.12

Click here to see answer by stanbon(75887)

Question 629606: Complete the square binomial: x^2 + 4x
Click here to see answer by stanbon(75887)

Question 629609: Determine the number that will complete the square to solve the equation the constant term has been written on the right side: x^2 +120x +51 =0
Click here to see answer by josmiceli(19441)

Question 629612:
Use a graphing calculator to find the equation of the curve of best fit for the data.

Time (s)

Distance Traveled (ft)

0.2

0.5

0.4

2.2

0.6

4.9

0.8

8.7

1.0

13.6

Choose one answer.

a. y = 13.39x^2 + 0.28x - 0.08

b. y = 14.6x^2 - 1.49x + 0.51

c. y = 13.21x^2 - 1.47

d. y = 13x^2 - 0.3x + 0.1

Click here to see answer by ewatrrr(24785)

Question 629607: Determine the number that will complete the square to solve the equation the constant term has been written on the right side: w^2 -14w -4 =0
Click here to see answer by ewatrrr(24785)

Question 629623: k^2+5k=2
Click here to see answer by 55305(86)

Question 629611: A rectangular garden has dimensions of 18 feet by 15 feet. A gravel path consistent width is to be built around the garden. How wide can the path be if there is enough gravel for 328 square feet?
Click here to see answer by wilft1(217)

Question 629598: Use a graphing calculator to find the equation of the curve of best fit for the data.
time (x) 0.2 0.4 0.6 0.8 1.0
distance (y) 0.5 2.2 4.9 8.7 13.6
Choose one answer.
a. y = 13.39x^2 + 0.28x - 0.08
b. y = 14.6x^2 - 1.49x + 0.51
c. y = 13.21x^2 - 1.47
d. y = 13x^2 - 0.3x + 0.1

Click here to see answer by ewatrrr(24785)

Question 629643: if the roots of x^2-ax+b=0 are real & differ by a quantity which is less than c(c>0),prove that b lies between (1/4)(a^2-c^2)& (1/4)a^2
Click here to see answer by jsmallt9(3758)

Question 629265: Let tan(alpha) , tan(beta) be the roots of equation x^2-px+q=0, then find cos2(alpha + beta).
Click here to see answer by jsmallt9(3758)

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