Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 55087: Hi. I have a question about the standard quadratic equation (ax^2+ bx+c). I have seen that in textbooks, they derived -b/2a from ax^2+bx+c and I was wondering how they got that. Thank you for your help and time.
Click here to see answer by anjulasahay(30)  |
Question 55150: When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation.
Click here to see answer by funmath(2933) |
Question 55245: A taxi company had 157 riders in January of this year. In August they had 543 riders. Assuming the number of riders increased at a constant rate, write a linear equation to give the number of riders R in terms of the month M ( let the month of january be 1.) set rest of months values based on that starting pointt. Based on the equation how many riders did they have in April?
Click here to see answer by tutorcecilia(2152)  |
Question 55366: The position of an object moving in a straight line is given by s=t^2-8t, where s is in feet and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 10 feet?
Click here to see answer by stanbon(75887) |
Question 55406: i'am having problem solving this equation i have asked twice today and have not gotten a reply back. Maybe you do not understand it either. I know that 2w+2l= perimeter, but how do i apply it to this word problem .
A garden plot has an area of 120 square meters. The measure of the length and width are whole numbers. The length and width of the garden were selected so that the least amount of fencing was required to enclose the garden. What are the dimensions of this garden.
Where do i go from 2w+2l=120
Click here to see answer by stanbon(75887) |
Question 55406: i'am having problem solving this equation i have asked twice today and have not gotten a reply back. Maybe you do not understand it either. I know that 2w+2l= perimeter, but how do i apply it to this word problem .
A garden plot has an area of 120 square meters. The measure of the length and width are whole numbers. The length and width of the garden were selected so that the least amount of fencing was required to enclose the garden. What are the dimensions of this garden.
Where do i go from 2w+2l=120
Click here to see answer by Cintchr(481) |
Question 55447: Dearest tutors.,,, help me with my problem pls!!!
3. One number is 5 greater than another number. If the sum of their squares is 5 times the square of the smaller number, what are the numbers?
Plssss have mercy!!!
Click here to see answer by stanbon(75887) |
Question 55448: tutors help me with this plz... i tried to solve it but i didn't get the right answer..pls help.
9. The student council of Sta Lucia High School needed $2250 for an annual trip. If five more members joined the group, each member would then save $5. How many students planned to make the trip?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 55410: find the maximum (or minimum) of each function, also determine the x-intercepts of each function (if any). Express your final answers as a decimal number (rounded to 4 decimal places if necessary)
a. f(x)= x2-2x-3
(this is what i came up with so far)
a=1
b=-2 h= -b/2a= 2/2= 1
c=-3
I don't think this is right i need your help!!
b. F(x)= -x2+2x+3
a=1
b=3 h=-b/2a= -(-2)/2(-1)=1
c=3
same thing here...I'm not sure what to do here...
Click here to see answer by funmath(2933) |
Question 55379: a garden plot has an area of 120 square meters. The measure of the length and width are whole numbers. The length and width of the garden were selected so that the least amount of fencing was required to enclose the garden. What are the dimensions of this garden.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 55602: For the function y = x2 - 6x + 8, perform the following tasks:
(a)Put the function in the form y = a(x-h)2 + k.
y = f(x)= ax2 + bx + c = 0
y = 1x2 + 6x + 8 = 0
a = 1 y = a(x-h)2 + k
b = 6 = a(1-6)2 + 8
c = 8 = a(5)2 + 8
= a(25)+ 8
= 33
(b)What is the equation for the line symmetry for the graph of this function?
(c)Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y=a(x-h)2+k.
(d)Describe how this graph compares to the graph of y=x2?
Click here to see answer by stanbon(75887) |
Question 55872: Using the quadratic equation y = x2 - 6x + 8 = 0, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.
b) Solve by using the quadratic formula.
Answer:
Show work in this space.
Thank you for the help tine
Click here to see answer by funmath(2933) |
Question 55874: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
Answer:
b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.
c) How long will it take to hit the ground?
Answer:
Show work in this space.
d) What is the maximum height of the ball?
Answer:
Show work in this space.
Thank you very much tine
Click here to see answer by funmath(2933) |
Question 55889: I would like your help in determining the possible roots to the equation:
-x^4-5x^2-x+7=0. Judging from the sign changes, there appears to be 1 positive root. And 1 negative root. Does that mean there could be 3 imaginary roots?
Click here to see answer by stanbon(75887) |
Question 55944: Anna visited her Aunt in a town which is 220 miles from where Anna lives. On her way to her Aunt's town she had to slow down for 70 miles where one of the lanes was closed due to a traffic accident. If she had to slow down by 15 mph and the trip took her 5 hours, find the speed at which she drove on the one lane portion. (Hint: after establishing your equation as a rational equation, convert it into a quadratic equation).
I come up with an average speed of 44mph, however I can't figure out if this is useful for solving the problem. I am lost.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 56158: Amanda has 400 feet of lumber to frame a rectangular patio. She wants to maximize the area of her patio. What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.
Answer:
Show work in this space.
Click here to see answer by funmath(2933) |
Question 56231: The path traveled by a golf ball hit with a 9-iron can be modeled with the quadratic function, y = -0.042x(squared) + 5x, where x is the distance in yards from the point it was hite and y is the height of the golf ball in feet. Assume that the ground is level.
a. Find the maximum height reached by the ball.
b. How far from where it was hit does the ball hit the ground?
Click here to see answer by stanbon(75887) |
Question 56231: The path traveled by a golf ball hit with a 9-iron can be modeled with the quadratic function, y = -0.042x(squared) + 5x, where x is the distance in yards from the point it was hite and y is the height of the golf ball in feet. Assume that the ground is level.
a. Find the maximum height reached by the ball.
b. How far from where it was hit does the ball hit the ground?
Click here to see answer by funmath(2933) |
Question 56269: An object is released from a plane at an altitude of 1600 ft. The initial velocity is 0 ft/s. How many seconds later will the object hit the ground?
Use the formula d=vt+16t^2, where d is the distance in feet, v is the initial velocity in feet per second, and t is the time in seconds
Click here to see answer by funmath(2933) |
Question 56702: Assume the cost of a company picnic is described by the function
P(n)=(1/2)n^2-10n+80 where n represents the number of employees and family members attending the picnic and P (in dollars) represents the cost of the picnic How many employees and guests in attendance produce a minimum cost? What is the minimum cost for this event?
Click here to see answer by funmath(2933) |
|
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
|
