Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 134440: How many tractors need to be sold for a profit of $20,000
n = number of tractors
P(n)=2.7(n)+9(n)-3
I tried to use the quadratic formula but I can't figure it out. I know that the answer is supposed to be 7.
Click here to see answer by stanbon(75887)

Question 134476: solve equation by completing the square
x^2 + x - 5 = 0
Click here to see answer by jim_thompson5910(35256)

Question 134505: one leg of a right riangle is 1/3m shorter than the other leg. if the hypotenuse of the triangle is 5/3m, find the lengths of both legs.
Click here to see answer by edjones(8007)

Question 134509: The temperature, T, in degrees Fahrenheit, in a car's radiator during the first 4 minutes of driving is a function of time, t. The temperature can be found by the formula T=5.8t^2+13t+32, 0 less than or equal to t less than or equal to 4.
a) What is the car's radiator's temperature at the instant the car is turned on?
b) What is the car's radiator's temperature after the car has been driven for 3 minutes?
c) How long after the car has begun operating will the car's radiator temperature reach 90 degrees Fahrenheit?
Click here to see answer by vleith(2983)

Question 134506: The height in feet above the ground of a ball thrown straight up with an initial velocity of 96 ft/sec is given by the formula h(t)=-16t^2 + 96t + 4.
where T is the time, in seconds, after the ball is thrown. find the values of T for which the height of the ball is 48 feet. find the exact solutions.
Click here to see answer by rajagopalan(174)

Question 134544: a rectangular room has an area of 189 square feet and a perimeter of 55 feet. what are the dimensions of the room? Find exact solution.
Click here to see answer by vleith(2983)

Question 134543: the revenue R in dollars for the sale of x items at Joe's Dollar Store can be modeled by the equation R=1400x-5x^2. what number of items would provide a revenue of $16,080?
Click here to see answer by vleith(2983)

Question 134488: one leg of a right riangle is 1/3m shorter than the other leg. if the hypotenuse of the triangle is 5/3m, find the lengths of both legs.
Click here to see answer by checkley71(8403)

Question 134601: The ratio of the measures of the length and width of a rectangle is 5:7. The area of the rectangle is 1,715 square feet. Find the dimensions.
Click here to see answer by vleith(2983)

Question 134623: Translate to an inequality. Use x as a variable. The number of people in the chess club is less than or equal than 16.
The answer is __ __ __
Help me please.
Click here to see answer by vleith(2983)

Question 134624: Solve using the addition principle.
2x+8> x +10
The solution set is X X > __
Help me please again I do not understand what I am supposed to do with this.
Click here to see answer by solver91311(24713)

Question 134641: Write as a single power:
[27^(-x+2)*(1/9)^2x]/3(81)^(x-4)
My answer is 3^(-11x+22). Can someone Please confirm this for me??
Click here to see answer by stanbon(75887)

Question 134656: How would you solve a problem like 4x(x-2)-5x(x-1)=2? When I tried the solution was weird. Could you please help me?
Click here to see answer by stanbon(75887)

Question 134647: Could you please help me answer this problem using quadrati equations:
(p-3)(p-4)=42

Thanks
Click here to see answer by edjones(8007)

Question 134642: Solve for x:
logbase9 x + -1/2 I thought the answer was x=3 but I was told that I was wrong:(
Click here to see answer by Earlsdon(6294)

Question 134645: Solve :
a) 2logbase6 x - logbase6 4=logbase6(x-1)
b) 4^(1-x)=3*5^x

Click here to see answer by edjones(8007)

Question 134709: No text book information available I am an online student.
Please assist me in solving this word problem.
A basketball p;ayer completed 44.6% of his field goals in the most recent season. He made 286 field goals. How many did he attempt? Please simplify
Click here to see answer by jojo14344(1513)

Question 134718: There are 3 question.
1.How do you know if a quadratic equation will have one, two,or no solutions?
2. How do you find a quadratic equation if you are only given the solution?
3. Is it possible to have different quadratic equations with the same solution?
This information is for my college algebra class.
Thanks Roosevelt
Click here to see answer by stanbon(75887)

Question 134694: The roots of the quadratic equation x^2-12x+37=0 are 5 and 8. Find the base system in which this equation is written
Click here to see answer by vleith(2983)

Question 134731: Please tell me what I am doing wrong.
An employee's new salary is $28,140 after getting a 5% raise. What was the salary before the increase in pay?
I just subtracted the 5% and came up with $26,733 as my answer. It was wrong.
Thank you for your time
Click here to see answer by vleith(2983)

Question 134638: a.This equation stands for the river's cross section at its deepest. y=0.0581x^2-2.3238x, where y is the depth of the river(in feet) and x the horizontial distance from the bank of the river(in feet). Assume that the surface of the river is modeled by y=0. Graph the river's cross section labeling the vertex, axis of symmetry.(use a modified coordinate plane;the left bank will be one of your solutions at the origin.) b. Your boat is directly above the deepedst point of the river. You drop your line with a sinker at the end. Your line is 25 ft. long. Will your sinker fouch the botton.Explain. c. There is a fish detector on the boat. The detector shows that there is a school of fish 18 ft. directly below you. You are 8 ft. from the bank of the river. Is the fish detector accurate? Explain.
Click here to see answer by ankor@dixie-net.com(22740)

Question 134785: if the roots of the quadratic equation differ by 4, show that . ThNK yOU for your help
Click here to see answer by solver91311(24713)

Question 134792: 3x2+10x+5=0
I need this to be simplified as much as possible. Thank You.
Click here to see answer by solver91311(24713)

Question 134797: Given the function h described by h(x)=7x, find each of the following.
a) h(19)
b) h(6)
c) h(21)
Please help!!
Click here to see answer by vleith(2983)

Question 134644: Could you please help me answer this question using quadratic equations:
2x(4x-5)=3
Thanks in advance.
Click here to see answer by scott8148(6628)

Question 134796: Given the function f described by k(x)=x+12 find the function value.
k(0)=
Help please can someone please explain this to me in plain English I do not understand this from my book at all.
Click here to see answer by scott8148(6628)

Question 134804: Given the function h described by h(x)=2.75x+71.48 can be used to predict the height in centimeters of a woman whose humerous (the bone from elbow to shoulder)is x cm long.
Predict the height of a woman whose humerous is 33 cm long.
?? cm? Help me please. This is even getting harder than I remember in high school.
Click here to see answer by Earlsdon(6294)

Question 134822: I know that the topic that i chose isn't going to correspond with the question that i am goin to ask. The topic is Transformations and the Circle Family. This topic has to deal with the unit circle equation which is x(square)+y(square)=1. I am having problems writing an equation from looking at the graph...... Can you explain and give examples as to how i am suppose to figure out the equation from lookin at the graph?
Click here to see answer by solver91311(24713)

Question 134850: The value of (3pie/5) radians in degree is
(a)54 degree (b)60 degree (c)108 degree (d)120 degree

Click here to see answer by vleith(2983)

Question 134646: This is a hard question for me to type properly, I hope someone understands.
Solve: [cubedroot (8^(x+1))/(16^x)]=32 I think I can also type it like this: (8^(x+1)/16^x)^(1/3) =32 .
Click here to see answer by vleith(2983)

Question 134865: please help me solve this equation x^2 +6x =2
Click here to see answer by solver91311(24713)

Question 134922: Graph the equation
y=8
Help please.
Click here to see answer by nycsharkman(136)

Question 134922: Graph the equation
y=8
Help please.
Click here to see answer by vleith(2983)

Question 134929: write a quadratic equation that describes the area of a rectangle whose perimeter is 24 feet.
Click here to see answer by ankor@dixie-net.com(22740)

Question 134974: Given A(-4,6), B(-1,2),C(x,14) and D(5,10). If AB is parallel to CD, find the value of x.
Click here to see answer by vleith(2983)

Question 134966: What is the domain for y=logbase3(2x-1)+4?
Click here to see answer by stanbon(75887)

Question 134967: Solve for x: logbase2(logbase3(logbase4 x)=0
Click here to see answer by stanbon(75887)

Question 134967: Solve for x: logbase2(logbase3(logbase4 x)=0
Click here to see answer by josmiceli(19441)

Question 135036: Hello, tutors my homework assignment question is for college algebra.
Response to the following: Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?) Thanks inadvance for your great work and assitance.
Roosevelt
Click here to see answer by vleith(2983)

Question 135032: The decimal notation for the fraction -8/9 is?
Round to the nearest hundredth.
Thanks for any assistance you may be able to provide.
Click here to see answer by vouge(2)

Question 135067: What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.
Can someone explain this so I can understand it?
Click here to see answer by vleith(2983)

Question 135035: please simplify thank you
2 (to the fifth power) + 2 (to the fourth power) - 14.
I can't figure out how to enter these properly
Click here to see answer by vleith(2983)

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, 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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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