Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)
Question 88360: This problem has had me stumped for 2 days now. Can I please get help?
The U.S. population in 1990 was approximately 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years. The below formula for the United States then becomes:
P (in millions) = 250 * 2^( y-1990)/66
What will the population of the United States be in 2025 if this
growth rate continues?
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 88393: I am trying to solve this problem but am having some issues.
Find all real and imaginary zeros for each polynomial function
f(x)=4x^4-1
Here is what I have started but I am unsure if this is right or how to finish it.
f(x)=4x^4-1
4x^4-1=0
+1=+1
4x^4=1
-------
4 4
x^4=-1/4
Thank you for your assistance.
Click here to see answer by Earlsdon(6294) |
Question 88390: Hello I am currently trying to figure out this problem.
Find all real and imaginary zeros for each polynomial function
f(x)=x^3-27
This is how I started working out the problem, I have no examples to really work with on this style of problem so I am not to sure if I have even started it correctly.
f(x)=x^3-27
x^3-27=0
+27=+27
x^3=27
I am stuck and not sure where to go next. Your help at solving this problem will be greatly appreciated.
Thank you
Click here to see answer by jim_thompson5910(35256) |
Question 88386: Please help me to solve the following equations:
Solve each formula for the indicated variable:
18) I= E/R+r for R
Please find the value of the indicated variable:
Please show a complete solution to each problem.
36) Ride the peaks. Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour than smith, and his trip took one-half hour longer that Smith's. How fast was each one traveling?
Thank you so much for your assistance
Click here to see answer by ankor@dixie-net.com(22740) |
Question 88394: Please help me to solve a problem by using a proportion:
66) Oil and Gas: An outboard motor calls for a fuel mixture that has a gasoline-to-oil ratio of 50 to 1. How many pints of oil should be added to 6 gallons of gasoline?
Please help me to solve each problem:
76) Magazine Sales. A company specializing in magazine sales over the phone found that in 2500 phone calls, 360 resulted in sales and were made by male callers, and 480 resulted in sales and were made by female callers. If the company gets twice as many sales per call with a woman's voice that with a man's voice, then how many of the 2500 calls were made by females?
Thank you very much for your time and help!
Click here to see answer by stanbon(75887) |
Question 88391: Hello, I am havign soem issues with understanding the Descartes rule of signs and am unsure of how to solve the problem.
Use Descartes rule of signs to discuss the possibilities for the roots to each equation. Do not solve it.
2x^3-3x^2-5x-9=0
Here is what I have tried to do
2(-x)^3 - 3(-x)^2-5(-x)-9=-2x^3-3x^2-5x-9
How do I tell how many roots there are to this problem?
Thank you for your help.
Click here to see answer by Nate(3500) |
Question 88372: I need some help with finding the value of the following: I will need to type out the words cuz computers dont have the signs used,
1.exponent3 square root -64
2.exponent4 suare root 27
3.4+suare root 7 divided by 7
Click here to see answer by rapaljer(4671)  |
Question 88308: Help.... I dont understand these two questions: write each expression in lowest terms. Assume that no denominators are zero.
4x2
---
8x3
and
x2-16
-----
x+4
these are set up like fractions, can anyone help me with these?
Click here to see answer by SandySharma(35) |
Question 86490: I have a question that states: determine the right-hand and left-hand behavior of the graph of the function f(x)=(-4x^5+3x^2-4)/2. The choices are
a) falls to the left, rises to the right
b)rises to the left, falls to the right
c)falls to the left, falls to the right
d)rises to the left, rises to the right
e)none of these
I am thinking that it is a because both are going to negative infinity, is this correct?
Click here to see answer by rapaljer(4671) |
Question 88437: Hello I am working with the Descartes rule of signs.
I am supposed to discuss the possibilities for the roots of the equation. Do not solve the equation.
THE EQUATION IS x^5+x^3+5x=0
Here is my answer
Pos: 3......0
Neg: 0......3
Imag:
Am I even close on this problem?
Thank you
Click here to see answer by stanbon(75887) |
Question 88436: I am having some difficulties with this problem
Find all real and imaginary zeros for each polynomial function
f(x)=5
Since there are no other portions of the problem are all real and imaginary zeros 5 and -5?
I am very confused by this problem.
Thank you for your help.
Click here to see answer by stanbon(75887) |
Question 88435: Hello, I am having diffuclties understanding this problem.
Find all real and imaginary zeros for each polynomial factor.
f(x) = 2x^2-1=0
Here is the work that I have started with but I am unsure if I am doing this properly
2x^2-1=0
+1 = +1
2x^2=1
------
2
x^2=1/2
would my answer be x= square root of +1/2 and square root of -1/2?
Thank you for your help
Click here to see answer by stanbon(75887) |
Question 88435: Hello, I am having diffuclties understanding this problem.
Find all real and imaginary zeros for each polynomial factor.
f(x) = 2x^2-1=0
Here is the work that I have started with but I am unsure if I am doing this properly
2x^2-1=0
+1 = +1
2x^2=1
------
2
x^2=1/2
would my answer be x= square root of +1/2 and square root of -1/2?
Thank you for your help
Click here to see answer by jim_thompson5910(35256) |
Question 88068: write an equation of a line that is parallel to y=-6x+4 and passes through(2,10).
write an equation of line which is perpendicular to y=(-2/3)x-5 and passes through point (6,3).
write the equation of three lines so that the y-intercept of each is -3.
Click here to see answer by checkley75(3666) |
Question 88456: A truck traveled at an average speed of 60 miles per hour on a 200 mile trip to pick up a load of freight. On the return trip, with the truck fully loaded, the average speed was 40 miles per hour.
My teacher want the class to use the formula for speed distance and time but it is not in my textbook and I got confused looking on the internet. I need the formula to figure out the average speed for the round trip. Thanks.
Click here to see answer by Earlsdon(6294) |
Question 88456: A truck traveled at an average speed of 60 miles per hour on a 200 mile trip to pick up a load of freight. On the return trip, with the truck fully loaded, the average speed was 40 miles per hour.
My teacher want the class to use the formula for speed distance and time but it is not in my textbook and I got confused looking on the internet. I need the formula to figure out the average speed for the round trip. Thanks.
Click here to see answer by Edwin McCravy(20054)  |
Question 88302: I need help please my question reads find the vertex, the x-intercepts, and the y-intercepts of the quadratic function y=x2-2x-3
vertex_________
x-intercepts__________and___________
Y-intercept ___________
Click here to see answer by SandySharma(35) |
Question 88498: Hello,
Here is what I am currently working on and I am not sure if I am doing this right. Thank you for your help
Given that either 2 or -2 is a solution to each of the following, solve each equation
x^3-2x^2-6x+12=0
This is what I have done
2/1 -2 -6 -12
/- 2 0 0
-----------
1 0 0 0
2 is a solution -2 is not a solution
How do I solve the equation?
Thank you
Click here to see answer by jim_thompson5910(35256) |
Question 88498: Hello,
Here is what I am currently working on and I am not sure if I am doing this right. Thank you for your help
Given that either 2 or -2 is a solution to each of the following, solve each equation
x^3-2x^2-6x+12=0
This is what I have done
2/1 -2 -6 -12
/- 2 0 0
-----------
1 0 0 0
2 is a solution -2 is not a solution
How do I solve the equation?
Thank you
Click here to see answer by stanbon(75887) |
Question 88522: I have a formula and a problem. please help step by step Thanks
An object that is falling or vertically projected into the air has its height, in feet, above the ground given by s=-16t2+vot=so formula
where s is the height in feet, vo is the original velocity of the object in feet per second, t is the time the object is in motion, in seconds, and so is the height, in feet, from which the object is dropped or projected. A ball is thrown straight up from a rooftop at an original velocity of 80 feet per second from a height of 96 feet. The ball misses the rooftop on its way down and eventually stikes the ground. How high will the ball be 4 seconds after being thrown. The book states 160 feet but how do I put this in formula. Thanks
Click here to see answer by ankor@dixie-net.com(22740) |
Question 88695: Hello. I'm in need of your help. I'm trying to factor a quadratic equation. i've tried visiting other sites including yours, but have not been able to answer the question. Could you please answer?
See below.
When answering this question please be sure to add your backup data. Since this question is part of my homework, I would like to use your findings as a benchmark for the rest of my assignment.
Thanks,
Joe
8x2 -32x +32
p.s. feel free to drop me a line if you have any questions!
Click here to see answer by stanbon(75887) |
Question 88712: I have problem with word problems and need some help.
Science and medication:
Ariana took 2 hrs longer to drive 360 miles on the first day of a vaction trip than to drive 144 miles the second day. If his averade driving rate was the same both days what was the driving time each day?
Click here to see answer by stanbon(75887) |
Question 88736: An object that is falling or vertically projected into the air has its height, in feet, above the ground given by s=-16t^2+vot=so Where s is the height, in fee, vo is the original velocity of the object in feet per second, t is the time the object is in motion, is seconds, and so is the height in feet, from which the object is dropped or projected. The figure shows that a ball is thrown straight up from a rooftop at an original velocity of 80 feet per second from a height of 96 feet. The ball misses the rooftop on its way down and eventually strikes the ground. Use the formula and the infromation to solve problem 89-91 I am solving even #90
s=-16t^2+80t+96
t=4
s= -16(4^2)+80(4)+96
s= -16(16)+320+96
s=-256+320+96
s= 160ft
Ruchi: Correct solution, Darlene.
The equation for this problem is s=-16t^2+80t+96. Is there any way you can figure out how many seconds the ball will take to reach the ground?
I can't quite figure out how to set up this last question and solve it.
Click here to see answer by jim_thompson5910(35256) |
Question 88739: Good evening how are you? I am having problems trying to understand how to do these problems, can you please help me with the above problems from the book and this problem x^5y^3-9x^4y^2+20x^3y the question states just to factor completely. Thank you so much I really appreciate it.
Click here to see answer by jim_thompson5910(35256) |
Question 88744: please help me to solve:
Find a ratio for each of the following, and write it as a ratio of intergers in lowest terms.
24) Coffee Drinkers: Among 100 coffee drinkers, 36 said that they preferred their coffee black and the rest did not prefer their coffee black. Find the ratio of those who prefer black to those who prefer non black coffee.
Thank you.
Click here to see answer by malakumar_kos@yahoo.com(315) |
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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, 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, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105
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