Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 580660: Page 367 Evaluate each of the following quadratic functions for the given
value of x. Show all your work.
f(x) =x^2 + 5x + 7; f(4)
g(x) =25 -x^2; g(-5)
h(x) = -x^2 +4x-1; h(-2)
f(x) =5x^2 -18;f(0)
g(x) =8x^2 -3x +10; g(2)
h(x) -3x^2 +15; h(10)
Click here to see answer by Alan3354(69443)   |
Question 580658: 6. Just the Math: Quadratic Function The equation that
you wrote for the area, y=x^2, represents the simplest form of a
quadratic function. A quadratic function is a function of the
form f(x) = ax^2 +bx+c, where a, b, and c are constants with
a=(a line thru the = mark)0. The graph of a quadratic function is a U-shaped graph.
What can you conclude about the rate of change of a quadratic
function? Use a complete sentence in your answer.
7. Identify the values of a, b, and c in each quadratic function
below.
h(x) = x2 - 3x
g(x) = 10 - x^2
f(x) = 2x^2 + 3x+5
f(x) = x^2 - 2x + 8
h(x) =2^2+4x-1
g(x) =x^2 +4
Click here to see answer by richard1234(7193)  |
Question 581080: I don't quite understand what the question is asking. Could you help me solve this problem?
Directions: Logical Reasoning - Consider the equations  and use the quadratic formula to justify the statement.
If  is positive, then the equation has two solutions.
Click here to see answer by josmiceli(19441)  |
Question 581663: I am trying to solve a factoring problem with quadratic trinomials that have a leading coefficient greater than 1. My problem is: (2x^2+14x-10).
I am having trouble finding numbers that multiply to -20 and add to 14. Help would be great! Thank you!
Click here to see answer by jim_thompson5910(35256) |
Question 582171: The number of horsepower, H, needed to overcome a wind drag on an automobile is given by H=0.005s^2 + 0.007s - 0.031, where s is the speed of the car in miles per hour. At what speed will the car need to travel to use 200 horsepower to overcome the wind drag?
I tried this several ways and still came up with 199.32 miles per hour which my teacher says is wrong.
Please help.
Click here to see answer by Alan3354(69443) |
Question 582171: The number of horsepower, H, needed to overcome a wind drag on an automobile is given by H=0.005s^2 + 0.007s - 0.031, where s is the speed of the car in miles per hour. At what speed will the car need to travel to use 200 horsepower to overcome the wind drag?
I tried this several ways and still came up with 199.32 miles per hour which my teacher says is wrong.
Please help.
Click here to see answer by stanbon(75887) |
Question 582171: The number of horsepower, H, needed to overcome a wind drag on an automobile is given by H=0.005s^2 + 0.007s - 0.031, where s is the speed of the car in miles per hour. At what speed will the car need to travel to use 200 horsepower to overcome the wind drag?
I tried this several ways and still came up with 199.32 miles per hour which my teacher says is wrong.
Please help.
Click here to see answer by josmiceli(19441) |
Question 582187: The profit P, in dollars, gained by selling x computers is modeled by the equation P= -5x^2 + 1000x + 5000. Find the number of computers that must be sold to obtain a profit of $55,000.00?
Using the quadratic equation, I came up with the computer cost being $41.42 then divided $55,000 by that and came out with 1327.86 computers needed to be sold to obtain that profit of $55,000.
Please help.
Diana
Click here to see answer by stanbon(75887) |
Question 582187: The profit P, in dollars, gained by selling x computers is modeled by the equation P= -5x^2 + 1000x + 5000. Find the number of computers that must be sold to obtain a profit of $55,000.00?
Using the quadratic equation, I came up with the computer cost being $41.42 then divided $55,000 by that and came out with 1327.86 computers needed to be sold to obtain that profit of $55,000.
Please help.
Diana
Click here to see answer by dfrazzetto(283)  |
Question 582722: ou drop a pencil out of a window that is 2o ft above the ground. Use the formula V squared = 64s, where V is the speed and s is the distance fallen, to calculate the speed the pencil is traveling when it hits the ground.
Click here to see answer by josmiceli(19441) |
Question 583145: My paper says: Find the value of the discriminant for 9x^2+1=6x. Then describe the number and type of roots for the equation..... I already found the discriminant to be -72 i just dont know how to do the last part
Click here to see answer by Alan3354(69443) |
Question 583502: PLEASE help me with this challenging problem!!!
An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance around the track is to be 400 meters. Determine the radius of the semicircular ends of the track in terms of y.Use the result to write and equation in terms of x and y for the distance around the track. Use your result from that to write the area A of the rectangular section as function of x.What dimensions for the rectangular region maximize the area (of the rectangular region)? Do not attempt to maximize the area for the whole figure!!
Click here to see answer by Alan3354(69443) |
Question 583740: The manager of a peach orchard is trying to decide when to arrange for picking the peaches. If they are picked now, the average yield per tree will be 100 pounds, which can be sold for $.40 per pound. However, past experience shows that if the manager postpones the harvest a bit, the yield per tree will increase by about 5 pounds per week but the price will decrease about $.02 per pound per week.
a) Construct a function which gives the revenue per peach tree. Be sure to state what your variables represent.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 584022: 12x^2-10x-42=0
I have to solve this quadratic equation two different ways and I need to show my work and explain what I am doing. I have no clue where to even start. I didn't even know there was two ways to solve this.....Any help please?
Click here to see answer by KMST(5328)  |
Question 585004: In questions 6-9, use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
The above is the instructions for the problems. Below I have worked out each math problem, but once again, I'm not sure whether or not the solutions I have are real or complex. I think I worked each problem out correctly. If I have not please let me know. If I have, I guess the only thing I need clarifying on is if the solution I have is real or complex.
6. x²+6x-7=0
Use the quadratic formula to find the solutions.
X=-b±√b²-4ac ax²+bx+c=0
2a
A=1, B=6, C=-7
b²-4ac The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
((6)²-4(1)(-7)) Substitute in the values of a,b, and c.
36-4(1)(-7) Squared 6
36-4(-7) Multiplied 1 by -7
36+28 Multiplied -4 by each term inside the parenthesis.
64 Added 36+28
ANSWER: 64 Real or complex????
7.z²+z+1=0
Use the quadratic formula to find the solutions.
X=-b±√b²-4ac ax²+bx+c=0
2a
A=1, B=1, C=1
b²-4ac The discriminant formula
((1)²-4(1)(1)) Substitute in the values of a,b, and c
1-4(1)(1) Expand the exponent 2 to the expression
1-4(1) Multiply 1*1
1-4 Multiply -4 by each term inside the parenthesis
-3 Subtract 4 from 1
ANSWER: -3 Real or complex??
8. (3)½y²-4y-7(3)^½=0
√(3)*y²-4y-7(3)^½=0 An expression with a fractional exponent can be written as a radical with an index equal to the denominator of the exponent
√3*y²-4y-7(3)^½=0 Removed the parenthesis around the expression 3
√3*y²-4y+(-7*√(3))=0 Reduced
√3*y²-4y+(-7*√3)=0 Removed the parenthesis around the expression 3
√3*y²-4y+(7√3)=0 Multiplied -7 by √
y²√3-4y-7√3=0 Multiplied √3 by y²
Y=-b±√b²-4ac ay²+bx+c=0
2a
A=√3, B=-4, C=-7√3
b²-4ac Discriminant formula
((-4)²-4(√3)(-7√3)) Substitute in the values of a,b,c
(4)(-4)-4(√3)(-7√3) Squared
16-4(√3)(-7√3) Multiply to simplify the expression (-4)(-4)
16-4(-7√3²) Multiply -7W to get -7W²
16+28√3² Multiplied -4 by each term inside the parenthesis.
16+28(3) Squared
16+84 Multiplied 28 by each term inside the parenthesis.
ANSWER: 100 Real or complex???
9. 2x²-10x+25=0
X=-b±√b²-4ac ax²+bx+c=0
2a
A=2, B=-10, C=25
b²-4ac
((-10)²-4(2)(25)) Substitute in the values of a,b, and c.
(-10)(-10)-4(2)(25) Squared
100-4(2)(25) Multiplied to simplify the expression (-10)(-10)
100-4(50) Multiplied 2 by25
100-200 Multiplied -4 by each term inside the parenthesis.
ANSWER: -100 real or complex??
Click here to see answer by jim_thompson5910(35256) |
Question 584986: Suppose a particular star is projected from an aerial firework at a stating height of 520 ft with an initial upward velocity off 72ft/s. How long will it take for the star to reach its maximum height? How far will it be?
The equation is h= -16t^2+ 72t +520
also, describe the importance of quadratics (one paragraph) and how quadratics helps people to understand something in the real world
Click here to see answer by ankor@dixie-net.com(22740) |
Question 584959: OK, first of all the problem that I need help with is P(x)=-x^2+110x-1,000. P being 5, 50, and 120. I think that if I can get help answering the five then I should be able to figure out the 50 and the 120 (I hope). I am going to college and totally lost so if you could help me with this problem I would greatly appreciate it. I also have to graph it when I am done, but like I said earlier if I can figure out the answer to P(x)=-x^2+110x-1,000 with P being 5 I should be able to get the rest.
Click here to see answer by scott8148(6628)  |
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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
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