Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1163930: a parabola with the x intercepts at (-1, 0) and (3, 0) which passes through the point (1, -8)
Click here to see answer by Alan3354(69443) About Me 
Question 1164073: Find each indicated product.
1. 3(x²+7)
2. (2t-1)(t+5)
3. (3-4m)16
4. (2h+7)(2h-7)
5. (8-3x)(8+3x)
Click here to see answer by josgarithmetic(39616) About Me 
Question 1164074: Find each indicated product. Solve each problem.
1. 3(x²+7)
2. (2t-1)(t+5)
3. (3-4m)²
4. (2h+7)(2h-7)
5. (8-3x)(8+3x)
Click here to see answer by josgarithmetic(39616) About Me 
Question 1164079: what is the root of this quadratic equation;
1. x² - x = 0
2. 3x² = - 6x
3. x² - 4x - 5 = 0
4. 4x² + 1 = 2x² + 17
5. 3x² -6x - 7 = 2x²
Click here to see answer by josgarithmetic(39616) About Me 
Question 1164078: solve the quadratic equations by extarcting[sic] or by factoring method whichever is applicable.
1. x² = 25 (space) : x = (blank) , x = (blank)
2. ( x + 1 ) ( x - 2 ) (space) : x = (blank) , x = (blank)
3. x² + 3x = 0 (space) : x = (blank) , x =(blank)
4. ( x - 4 )² (space) : x = (blank) , x =(blank)
5. ( x - 3 ) ( 2x - 5 ) (space) : x = (blank) , x =(blank)




Click here to see answer by josgarithmetic(39616) About Me 
Question 1164078: solve the quadratic equations by extarcting[sic] or by factoring method whichever is applicable.
1. x² = 25 (space) : x = (blank) , x = (blank)
2. ( x + 1 ) ( x - 2 ) (space) : x = (blank) , x = (blank)
3. x² + 3x = 0 (space) : x = (blank) , x =(blank)
4. ( x - 4 )² (space) : x = (blank) , x =(blank)
5. ( x - 3 ) ( 2x - 5 ) (space) : x = (blank) , x =(blank)




Click here to see answer by Alan3354(69443) About Me 
Question 1164116: 9/x^2 + 8x + 80

Click here to see answer by ikleyn(52776) About Me 
Question 1164116: 9/x^2 + 8x + 80

Click here to see answer by Alan3354(69443) About Me 
Question 1164239: A rock is thrown upward with a velocity of 21 meters per second from the top of a 48 meter high cliff, and it misses the cliff on the way back down. When will the rock be 7 meters from ground level? Round your answer to two decimal places.
using 9.8
Click here to see answer by Alan3354(69443) About Me 
Question 1164247: Some mathematics professors would like to purchase a $140 microwave oven for the department workroom. If 5 of the professors do not contribute, everyone's share will increase by $50. How many professors are in the department?
Click here to see answer by ikleyn(52776) About Me 
Question 1164247: Some mathematics professors would like to purchase a $140 microwave oven for the department workroom. If 5 of the professors do not contribute, everyone's share will increase by $50. How many professors are in the department?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1164289: Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calcute the current age of age
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1164289: Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calcute the current age of age
Click here to see answer by ikleyn(52776) About Me 
Question 1164403: The sum of three numbers is 117. The second number is 3 times the third. The first number is 8 less than the third. What are the numbers?
Click here to see answer by josgarithmetic(39616) About Me 
Question 1164410: You throw a ball toward a trash can. The ball follows a parabolic path through (10, 10), (−14, 10), and (20, 7). Will the ball pass through the center at (0, 3)?
Click here to see answer by ikleyn(52776) About Me 
Question 1164429: Find A so that the point (1,1) is on the graph of f(x)=axsquared+4
Click here to see answer by Alan3354(69443) About Me 
Question 1164659: Primo car rental agency charges ​$38 per day plus ​$0.45 per mile. Ultimo car rental agency charges ​$46 per day plus ​$0.95  per mile. Find the daily mileage for which the Ultimo charge is twice the Primo charge.
The mileage is nothing.
Click here to see answer by Theo(13342) About Me 
Question 1164697: Determine the y-intercept and x-intercepts of the parabola represented by the following quadratic equation. Also sketch the Parabola.
f(x)=x^2-3x+2
Click here to see answer by Boreal(15235) About Me 
Question 1164777: the sum of the roots of a quadratic equation is -4. if one of the roots is 7, how would you determine the equation? write the equation.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1164882: Acme Robots produces the Robo-Maid. Their annual profit P for producing
x units per year is given by the equation P(x) = -.02x2 + 400x - 1000.
(a) What is their annual profit if 10 units are produced?
(b) How many units should they produce each year in order to maximize
profit?
(b) What is the maximum annual profit?
Click here to see answer by Boreal(15235) About Me 
Question 1164914: Use two equations in two variables to solve the application. See Example 2. (Objective 1)
A rectangle is 3 times as long as it is wide, and its perimeter is 56 centimeters. Find its dimensions.
width
cm
length
cm
Click here to see answer by Theo(13342) About Me 
Question 1164935: What is the solution for the quadratic equation depicted in the graph? I linked the image.
https://i.imgur.com/QgAV6kb.gif
I just can't get these through my head, no matter what I do!



Click here to see answer by greenestamps(13198) About Me 
Question 1164991: y=-0.017x^2+0.98x+0.33
Click here to see answer by solver91311(24713) About Me 
Question 1165033: Sam is a guest on the TV show Math Jeopardy, and has just chosen the $300 question in the category
“Quadratic Equations.” The answer is “The solutions are x = 3 and x = 2.” What question could Sam ask
that would win the $300? Is there more than one possible correct question?
Click here to see answer by Boreal(15235) About Me 
Question 1165033: Sam is a guest on the TV show Math Jeopardy, and has just chosen the $300 question in the category
“Quadratic Equations.” The answer is “The solutions are x = 3 and x = 2.” What question could Sam ask
that would win the $300? Is there more than one possible correct question?
Click here to see answer by Alan3354(69443) About Me 
Question 1165040: If the points (4, 2) and (-3, -2) were the endpoints of the hypotenuse of a right triangle, how long would
its legs be?
Click here to see answer by josgarithmetic(39616) About Me 
Question 1165040: If the points (4, 2) and (-3, -2) were the endpoints of the hypotenuse of a right triangle, how long would
its legs be?
Click here to see answer by solver91311(24713) About Me 
Question 1165113: 53. Aia is landscaping the outside of her home. She currently has 4 new plants. To stay within her weekly budget, s
he plans to purchase 2 new plants each week. After x weeks, Aia plans to put 60% of the plant in her backyard and the remaining percentage in her front yard. Write a linear equation that shows the number of plants Aia will have in her front yard after x weeks.

Click here to see answer by Seutip(231) About Me 
Question 1165248: The height of an object dropped from the roof of an eight story building is modeled by: h(t) -9t^2 + 81, 0
Click here to see answer by Alan3354(69443) About Me 
Question 1165248: The height of an object dropped from the roof of an eight story building is modeled by: h(t) -9t^2 + 81, 0
Click here to see answer by ikleyn(52776) About Me 
Question 1165252: The height of an object dropped from the roof of an eight story building is modeled by: h(t) = -9t^2 + 81, 0 < t < 2. Here, h is the height of the object off the ground in feet, t seconds after the object is dropped. Find and interpret the average rate of change of h over the interval {0,2}
Click here to see answer by Alan3354(69443) About Me 
Question 1165252: The height of an object dropped from the roof of an eight story building is modeled by: h(t) = -9t^2 + 81, 0 < t < 2. Here, h is the height of the object off the ground in feet, t seconds after the object is dropped. Find and interpret the average rate of change of h over the interval {0,2}
Click here to see answer by ikleyn(52776) About Me 
Question 1165424: When we were able to offer ‘in person’ classes, a student had computed that it takes an average of 17 minutes with a standard deviation of 3 minutes to drive from home, park the car, and walk to an early morning class.
a) One day it took the student 21 minutes to get to class. What is the z-value corresponding to the 21 minutes?
b) On another day it took the student 17 minutes to get to class. What would the z-score be?
Click here to see answer by Boreal(15235) About Me 
Question 1165515: Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.
The parabola opens downwards since a= and this value is 0.
Click here to see answer by greenestamps(13198) About Me 
Question 1165515: Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.
The parabola opens downwards since a= and this value is 0.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1165728: standard equation of the parabola y^2-8y-8x=0
Click here to see answer by josgarithmetic(39616) About Me 
Question 1165726: the towers of a parabolic suspension bridges 200 meter long are 40 meter high. If the lowest point of the cable is 10 meter above the roadway.find the:
a) standard equation of the parabola
b) vertical distance from the roadway to the cable at 50 meter from the center.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1165881: Write a quadratic function f whose zeros are -11 and 3.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1166004: "For what values of k will the equation x^2 + kx + 25 = 0 have no real solution?"
Click here to see answer by ikleyn(52776) About Me 
Question 1166249: Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
Click here to see answer by Tatiana_Stebko(1539) About Me 
Question 1166249: Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
Click here to see answer by themasterofcircuits(27) About Me 
Question 1166508: Edna paid at least Php 1,200 for a pair of pants and a blouse. The cost of the pair of pants is Php 600 more than the cost of the blouse.

Click here to see answer by solver91311(24713) About Me 
Question 1166508: Edna paid at least Php 1,200 for a pair of pants and a blouse. The cost of the pair of pants is Php 600 more than the cost of the blouse.

Click here to see answer by josgarithmetic(39616) About Me 
Question 1166514: Which statement is false:
A. Not all quadratics functions have zeros
B. Every cubic function has at least one zero
C. Every quartic function has at least one zero
D. A quadratic function has at most two zeros
E. A quartic function has at most four zeros.
Click here to see answer by solver91311(24713) About Me 
Question 1166608: The profit that a company earns for selling x number of toy cars can be modelled by P(x) = -25x2 + 1000x -3000. How many toy cars must be sold for a profit of at least Php 5000?
Click here to see answer by solver91311(24713) About Me 
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