Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1097302: Find -xy, for x = -75.9 and y = 2.6.
Click here to see answer by Boreal(15235) About Me 

Question 1097353: The product of 3 integers is- 3 determine all of the possible values for the 3 factors
Click here to see answer by Alan3354(69443) About Me 

Question 1097355: Two negative consecutive integers have a sum of -45. what are the integers?

Click here to see answer by Alan3354(69443) About Me 

Question 1097398: a) √3x-4x^1/2+1=0
b) 5√t=t+4

Click here to see answer by Fombitz(32388) About Me 

Question 1097471: How do u solve by completing the squares

Click here to see answer by Alan3354(69443) About Me 
Question 1097471: How do u solve by completing the squares

Click here to see answer by ikleyn(52776) About Me 

Question 1097647: When doing the f(x)= function, when I get an answer of 3.5625, how do i convert this number into a fraction? I divided this by 100, but my answers aren't correct. I want to be able to convert easily, when I see a problem like this in the future?
Click here to see answer by Alan3354(69443) About Me 

Question 1097791: Tanxsin^2x-0.045=0
Click here to see answer by Alan3354(69443) About Me 

Question 1097971: Where will the base of the ladder in Exercise 9 be placed if a 6-foot
tall man needs to reach a height of 15 feet by standing at the top of
the 12-foot ladder?

Click here to see answer by Alan3354(69443) About Me 

Question 1098121: The marginal cost (C) of manufacturing x cell phones (in thousands) is given by: C%28x%29=+5x%5E2-200x%2B4000
A. How many cell phones should be manufactured to minimize the marginal cost?
B. What is the minimum marginal cost?
My work was =
A. Using -b%2F2a = %28-200%29%2F%282%29%285%29= 20 or 20,000 phones to minimize the marginal cost.
B. I subbed in 20 as the x value in the given equation resulting in the minimum marginal cost being $2000.
I am uncertain if this is how to approach the question.

Click here to see answer by josgarithmetic(39616) About Me 
Question 1098121: The marginal cost (C) of manufacturing x cell phones (in thousands) is given by: C%28x%29=+5x%5E2-200x%2B4000
A. How many cell phones should be manufactured to minimize the marginal cost?
B. What is the minimum marginal cost?
My work was =
A. Using -b%2F2a = %28-200%29%2F%282%29%285%29= 20 or 20,000 phones to minimize the marginal cost.
B. I subbed in 20 as the x value in the given equation resulting in the minimum marginal cost being $2000.
I am uncertain if this is how to approach the question.

Click here to see answer by Boreal(15235) About Me 
Question 1098121: The marginal cost (C) of manufacturing x cell phones (in thousands) is given by: C%28x%29=+5x%5E2-200x%2B4000
A. How many cell phones should be manufactured to minimize the marginal cost?
B. What is the minimum marginal cost?
My work was =
A. Using -b%2F2a = %28-200%29%2F%282%29%285%29= 20 or 20,000 phones to minimize the marginal cost.
B. I subbed in 20 as the x value in the given equation resulting in the minimum marginal cost being $2000.
I am uncertain if this is how to approach the question.

Click here to see answer by ikleyn(52776) About Me 

Question 1098099: Determine the quadrant containing the terminal side of θ under the given conditions.
tan θ > 0 and sin θ < 0

Click here to see answer by KMST(5328) About Me 

Question 1098235: Hi, I posted a link to my question because it wasn’t letting me copy and paste.
https://imgur.com/a/oEBFM

Thank you! :)

Click here to see answer by wilft1(217) About Me 
Question 1098235: Hi, I posted a link to my question because it wasn’t letting me copy and paste.
https://imgur.com/a/oEBFM

Thank you! :)

Click here to see answer by MathTherapy(10551) About Me 

Question 1098318: A grasshopper jumps off of a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modelled by the function shown.
-t^2+4/3t+1/4

After how many seconds will the grasshopper land on the ground?

Click here to see answer by Alan3354(69443) About Me 

Question 1098331: find the value of K
2x^2+kx-12 given factor of 2x-3

Click here to see answer by josgarithmetic(39616) About Me 
Question 1098331: find the value of K
2x^2+kx-12 given factor of 2x-3

Click here to see answer by MathTherapy(10551) About Me 

Question 1098342: Write the equation of the parabola in both vertex and standard form whose vertex is (-1,-4) and passes through (0,-5).

My work was:

+y=a%28x-h%29%5E2%2Bk+ Vertex Form
+y=a%28x-%28-1%29%29%5E2%2B%28-4%29+ Substituted (-1,-4) into (h,k) values
+-5=a%280%2B1%29%5E2-4+ Substituted (0,-5) into (x,y) values
+-5=a%281%29-4+ Solve for a
+a=-1+
Giving a vertex form of = +y=-%28x%2B1%29%5E2-4+
Finding standard form using +y=-%28x%2B1%29%5E2-4+
+y=-%28x%5E2%2B2x%2B1%29-4+ wasn't sure if I was supposed to distribute the negative here, I didn't
+y=-x%5E2%2B2x%2B1-4+
and I got standard form of = +y=-x%5E2%2B2x-3+
I'm unsure about the procedure, especially with the negative for standard form, but I might be overthinking it, any advice would be appreciated!

Click here to see answer by ikleyn(52776) About Me 
Question 1098342: Write the equation of the parabola in both vertex and standard form whose vertex is (-1,-4) and passes through (0,-5).

My work was:

+y=a%28x-h%29%5E2%2Bk+ Vertex Form
+y=a%28x-%28-1%29%29%5E2%2B%28-4%29+ Substituted (-1,-4) into (h,k) values
+-5=a%280%2B1%29%5E2-4+ Substituted (0,-5) into (x,y) values
+-5=a%281%29-4+ Solve for a
+a=-1+
Giving a vertex form of = +y=-%28x%2B1%29%5E2-4+
Finding standard form using +y=-%28x%2B1%29%5E2-4+
+y=-%28x%5E2%2B2x%2B1%29-4+ wasn't sure if I was supposed to distribute the negative here, I didn't
+y=-x%5E2%2B2x%2B1-4+
and I got standard form of = +y=-x%5E2%2B2x-3+
I'm unsure about the procedure, especially with the negative for standard form, but I might be overthinking it, any advice would be appreciated!

Click here to see answer by josgarithmetic(39616) About Me 

Question 1098344: John has 1424 meters of fencing and wants to enclose a rectangular plot that borders on a lake. If he does not fence along the lake, what is the largest area that can be enclosed?
My work:
I set up two equations, 1.) and 2.)
1.) A=LW
2.) 2W%2BL=1424
Using 2W%2BL=1424, I solved for L
L=-2W%2B1424
Using A=LW I plug in the L from the above equation
A=%28-2W%2B1424%29W
A=-2W%5E2%2B1424W
Then I found the vertex using -b%2F2a
%28-1424%2F2%28-2%29%29+=356
Using 356 I plug it into the equation A=-2W%5E2%2B1424W
A=-2%28356%29%5E2%2B1424%28356%29
This gives me the largest area = 253,472 meters squared m%5E2 as my final answer.
I'm just wondering if this is ok or totally off

Click here to see answer by ikleyn(52776) About Me 

Question 1098387: Solve the quadratic equation using square root method.
X^2-25=25

Click here to see answer by Alan3354(69443) About Me 

Question 1098388: Solve the quadratic equation using square root method. Show all steps
20-x^2=-29

Click here to see answer by Alan3354(69443) About Me 

Question 1098473: Ley a>0,b>0 & c>0.Then both roots of the equation ax^2+bx+c=0
(A) are real & negative
(B) have negative real parts
(C) are rational numbers
(D) have positive real parts

Click here to see answer by ikleyn(52776) About Me 

Question 1098472: A rectangular pool measuring 6 metres by 3 metres is to have a path surrounding it. If the total area of the pool and path is to be 31 metres squared, find the width (x m) of the path, correct to the nearest centimetre.
Click here to see answer by josgarithmetic(39616) About Me 

Question 1098631: A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. find the length of the ladder if the distance from the bottom of the ladder to the building is 6 feet.
Click here to see answer by richwmiller(17219) About Me 

Question 1098633: A ladder is leaning against a building so th

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Question 1098650:
Click here to see answer by Fombitz(32388) About Me 

Question 1098842: The sequence x-12,2x-15,3x+30... Is a geometric progression. Find the sum of all possible values of x.
Click here to see answer by ikleyn(52776) About Me 

Question 1098893: In hockey, a team recieves 2 points for a win and 1 point for a tie. During a hockey season of 60 games, the Leafs lost 28 games but earned 51 points. How many games did they win? Please and thank you :)
Click here to see answer by richwmiller(17219) About Me 

Question 1098986: f(x)=-2x^2+6x
how many seconds will it take the ball to reach the maximum height

Click here to see answer by Fombitz(32388) About Me 
Question 1098986: f(x)=-2x^2+6x
how many seconds will it take the ball to reach the maximum height

Click here to see answer by Boreal(15235) About Me 

Question 1099053: can you help me solve this linear functions equation? Emma charges a flat fee of $6, plus $8 per hour. Write an equation for the cost, C, after h hours of babysitting. what would be the slope and the x-intercept. I need to find out the x-intercept, how to make a table, range and domain, and mapping. thank you
Click here to see answer by josmiceli(19441) About Me 

Question 1099085: How do you convert y= -(x^2/36)+1 to standard form
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1099151: Find an equation for the line perpendicular to the line −x−5y=2 having the same y-intercept as 7x−9y=−9

Click here to see answer by Fombitz(32388) About Me 

Question 1099180: Calculate the value for K such that kx^2-3x+2kx +1 has two zeros
Click here to see answer by Alan3354(69443) About Me 

Question 1099355: To write a(x-h)^2+k in standard form, we would need to write it out and FOIL. Show that process.
Click here to see answer by josgarithmetic(39616) About Me 

Question 1099374: Suppose an object is thrown from a platform that is 300 ft. above the Earth with a beginning velocity of +7 ft/sec. How fast is it going at t = 2 seconds?

Click here to see answer by KMST(5328) About Me 

Question 1099436: The cubic equation x^3-12x^2+ax-48=0 has roots p,2p and 3p. Find the value of p.

Click here to see answer by ikleyn(52776) About Me 

Question 1099463: The cubic equation x^3+ax^2+bx+c=0 has roots a^2,B^2 and y^2. Show that c=-4/9 and find the value of a and b.

Click here to see answer by ikleyn(52776) About Me 

Question 1099377: An inductor in an electric circuit VL=10-.5t for a 2 H inductor. Find the current in the circuit after 20 seconds if the initial current was zero.

Click here to see answer by math_helper(2461) About Me 

Question 1099407: When f(X) =x-7/2 what is the value of (f^0 f^-1)(3)
Click here to see answer by Fombitz(32388) About Me 

Question 1099832: (-5,r) (1,30), m=7/6

Click here to see answer by josgarithmetic(39616) About Me 
Question 1099832: (-5,r) (1,30), m=7/6

Click here to see answer by ikleyn(52776) About Me 
Question 1099832: (-5,r) (1,30), m=7/6

Click here to see answer by greenestamps(13198) 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