Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 72946: This is the hardest question out of all!! the question is...
What are the solution(s) for the proportion x 1
----- = ----
5x+6 x
This also gives me four answers to choose from they are...
(a) 6, -1
(b) -6,-1
(c) 1, -1
(d) -6, 6

Click here to see answer by funmath(2933)

Question 72957: m^3+2m^2-3m=0 Solve each equation so Far i have
M(M^2+2m-3)=0
Click here to see answer by funmath(2933)

Question 72957: m^3+2m^2-3m=0 Solve each equation so Far i have
M(M^2+2m-3)=0
Click here to see answer by bucky(2189)

Question 72895: Please help me solve: A 5 in. by 7 in. photograph is surrounded by a frame of uniform width. The area of the frame equals the area of the photograph. Find the width of the frame.
Click here to see answer by ankor@dixie-net.com(22740)

Question 72958: 1/18h^2-1/2h+1=0
Solve each equation- I am not sure how to get started on this problem. HELP Please
Click here to see answer by ankor@dixie-net.com(22740)

Question 72991: Can you help me solve: A rectangle is 6cm long and 5cm wide. When each dimension is increased by x cm, the area is tripled. Find the value of x.
Click here to see answer by bucky(2189)

Question 72992: A rectangular animal pen with area 1200 m^2 has one side along a barn. The other three sides are enclosed by 100 m of fencing. Find the dimensions of the pen.
Click here to see answer by checkley75(3666)

Question 72999:
Click here to see answer by rmromero(383)

Question 73025: (1)use the arithmatic sequence of numbers 1,3,5,7,9,...to find the following:
a)what is d,the difference between any two terms?
answer:
show work:
b)using the formula for the nth term of an arithmetic sequence, what is the 101st term?
answer:
show work:
c) using the formula for the sum of an arithmeitc sequence, what is the sum of the first 20 terms?
answer:
show work:
d)using the formula for the sum of an arithmetic sequence, wht is the sum of the first 30 terms?
answer:
show work:
e)what observaton can you make about these sums of this sequence? express your observations as a general formula in "n".
Click here to see answer by stanbon(75887)

Question 72776: I am in dire need or assitance with the following questions and if anyone could assist me i WOULD BE SO GREATFUL!!!
(1)you are traveling North for 35km the you travel East 65km. how far are you from your starting point? N and E ca be considered the direstions of the y and x axis. Round to the tenths place.
Answer:
Show work:

(2)the volume of a cube is given by V=S^3. find the length of a side of a cube if the volume is 729cm^3.
Answer:
Show work:
(3)suppose you deposit $10,000 for two years at a rate of 10%.calculate the return (A) if the bank compounds annually(n=1). round answer to the hundreths place.
Answer:
Show work:(use ^ to indicate the power).
(A)calculate the return(A) if the bank compounds quarterly(n=4). round answer to the hundreths place.
Answer:
Show work:
Bank compounds monthly(n=12). Round answer to hundreths place.
Answer:
Show work:
Bank compound daily(n=365).round answer to hundreths.
Answer:
Show work:
what observation can you make about the size of the increase in your return as compounding increases more frequently?
Answer:
Click here to see answer by jim_thompson5910(35256)

Question 73104: A box with a square base and no lid is to be made from a square piece of metal by cutting squares from the corners and folding up the sides. The cut-off squares are 5 cm on a side. If the volume of the box is 100 cm^3, find the dimensions of the original piece of metal.
Click here to see answer by checkley75(3666)

Question 73102: Can you please help me solve: In a golden rectangle the ratio of the length to the width equals the ratio of the length plus width to the length. Find the value of this golden ratio. (do not approximate the answer)
Click here to see answer by jim_thompson5910(35256)

Question 73163: Hello, I got this question wrong on a test, so I was just wondering what I did wrong. Thanks for the help!
Find the Maximum or minimum value of y=1/3x^2+x+1 and determine for which value of x it occurs
Thanks again
Click here to see answer by ankor@dixie-net.com(22740)

Question 73164: I have one more question I couldn't figure out. Thanks for the help, your a life saver! Thanks
Find the maximum or minimum value of y=(x+9)(x-9) and determine for which value of x it occurs
Bunches and bunches of thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 73356: a rectangle parking lot has a length that is 3 yards greater than the width. The area of the rectangular lot is 180 square yards. find the length and the width.
Click here to see answer by ptaylor(2198)

Question 73413: what is y=X2+4x-9?
Click here to see answer by jim_thompson5910(35256)

Question 73415: what is y=-X2+2x+3
Click here to see answer by jim_thompson5910(35256)

Question 73416: what is y=5+16x-2xsquared
Click here to see answer by jim_thompson5910(35256)

Question 73389: A cylinder has a radius of 4in. If the volume of the cylinder is 48 pi inches cubed, what is the height?
Click here to see answer by Cintchr(481)

Question 73390: Solve for x;
7(3x+11) = 9(3-6x)
Click here to see answer by Cintchr(481)

Question 73390: Solve for x;
7(3x+11) = 9(3-6x)
Click here to see answer by bucky(2189)

Question 73388: Solve for x;
5(8-x) = 3x

Click here to see answer by bucky(2189)

Question 73387: Solve inequality for x
5 - 2x > 8

Click here to see answer by checkley75(3666)

Question 73546: 2x^2-x=6
Click here to see answer by bucky(2189)

Question 73554: Factor each Quadractic trinomial:
2c^2-10c-28
Click here to see answer by checkley75(3666)

Question 73556: Add a term to complete the square:
1) x^2+6x+______
2)x^2-16x+______
Solve by completing the square. Give exact solutions and approximate solutions to the nearest hundredth.
3) x^2-6x=6=0
These questions are not from the textbook. They are from a different worksheet.
Click here to see answer by checkley75(3666)

Question 73606: find solutions to equation x-5/x=4
Click here to see answer by ptaylor(2198)

Question 73671: A sum of $3500 is split between two investments, one paying 9% yearly interest and the other 11%. If the total yearly interest amounted to $354, how much was invested at each rate?
Click here to see answer by checkley75(3666)

Question 73669: One number is 100 larger than another number. If the larger number is divided by the smaller number, the quotient is 15 and the remainder is 2. Find the numbers
Click here to see answer by ankor@dixie-net.com(22740)

Question 70567: How do you determine the domain and the range. I know that the domain is the X values and the range is the y values.
Thank you
Frances
Click here to see answer by SHORTY4848(3)

Question 73775: 4x^2+12x+?
Click here to see answer by checkley75(3666)

Question 73799: please help me solve the quadratic equation
12x^2 + 36a^2 = 43ax
Click here to see answer by ankor@dixie-net.com(22740)

Question 73782: My daughter had this on a test and missed it: Can anyone please assist in these so she will know what she did wrong? I don't have the work with me here today so i can't put her wrong work on here..she is bringing her test home today so of anyone could assist in these I'd really appreciate it so she can know how to do them on her mid-term tomorrow:)
Thanks so much!!

In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.
a) Given the description above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), find the slope of the graph, find the price at which there will be no more riders, and find the maximum number of riders possible. The vertical axis is the number of riders per day, and the horizontal axis is the fare.
Graph:

Graph Type:

What is the slope of the graph?

b) The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
Answer:
Show work in this space:
c) If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
Answer:
Show work in this space:

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

Question 73794: My daughter has to do a paper on this topic and doesn't know where to begin. Any info would be appreciated:)

The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear.

what's the formulaused for measuring sound.
can you give a specific sound, give the decibels of the sound, and explain what this measurement means.
Thanks a bunch!!Any input would help her a great deal..she has searched the web but still nothing to put on her paper!
Click here to see answer by ankor@dixie-net.com(22740)

Question 73801: my question is this
solve the quadratic equation using the formula
1/1+x -1/3-x = 6/35
Click here to see answer by checkley75(3666)

Question 73800: please help me solve the quadratic equation
12x^2 + 36a^2 = 43ax
Click here to see answer by checkley75(3666)

Question 73689: Find values of m and n that yeild the Pythagorean triple 11, 60 and 61?
Click here to see answer by checkley75(3666)

Question 73924: Could I please have some help with this word problem? I started it, but am now lost. Thanks so much.
A garden area is 30 ft. long and 20 ft. wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft.^2, what is the width of the path?
I began by using the equation (20+2x)(30+2x)=400, but I was not able to get a real number.

Click here to see answer by checkley75(3666)

Question 73384: Solve for x;
10-3x = -7x-2
Click here to see answer by tazoftroy(22)

Question 73990: Solve each of the equations for x.
Section 10.1 # 22
25x^2=13
Section 10.1 # 32
2(x-5)^2=3
Section 10.1 # 42
x^2+4x+4=7 (hint: factor the left-hand side)
Click here to see answer by jim_thompson5910(35256)

Question 73989: Solve each of the following quadratic equations by completing the square.
sect:10.2 # 22
x^2-6x-3=0
Section 10.2 # 28
2x^2+10x+11=0
Sect. 10.2 # 38
Number problems. Find two consecutive positive integers such that the sum of
their squares is 85.

Click here to see answer by bucky(2189)

Question 74019: I need help on one of the questions on my final study guide.
A quadratic function g has a vertex (2,3) and passes through the point of (0,6). Write the equation of the axis of symmetry of the graph of g.
Thank you.
Click here to see answer by stanbon(75887)

Question 74142: I am trying to figure out what y=-4x^2+8x-1 in vertex form would be.
I know that I need to complete the square. I think I am supposed to add 1 and then balance it by subtracting 1? ((-2/2)^2=1)
y=(-4x^2+8x+1)-1+1.
Is that what I was supposed to do? If so, how do I write that as a perfect square to get the vertex form? Please help!
Click here to see answer by funmath(2933)

Question 74193: Can you help me solve: A rectangular pen is made with 100 m of fencing on three sides. The fourth side is a stone wall. Find the greatest possible area of such an enclosure.
Click here to see answer by checkley75(3666)

Question 74405: you have 80 yards of fencing to enclose a rectangular region. find the dimensions of the rectangle that maximize the enclosed area. what is the maximum area?
Click here to see answer by Cintchr(481)

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, 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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, 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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