Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 181398: For the quadratic function f(x) = x^2 + 2x -8 Find:
a. THe axis of symmetry and the vertex.
b. THe x-intercepts and y intercepts.
c. The domain and range.
d. Does the function have a maximum or minimum value.

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Question 181448: The level of thorium in a sample decreases by a factor of one-half every 2 million years. a meteorite is discovered to have only 8.6% of its original thorium remaining. How old is the meteorite?
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Question 181352: What is the quadratic function f(x)=x^2-2x-8

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Question 181384: Problem Solving
Gina works for a clothing designer. She is paid $80/day plus $1.50 for each pair of jeans she makes. Dexter also works for the designer, but he makes $110/day and no extra money for finishing jeans.
a) Write an equation to represent the amount that Gina earns in 1 day. Graph the equation.
b) Write an equation to represent the amount that Dexter earns in 1 day. Graph this equation on the same grid as in part a).
c) How many pairs of jens must Gina to make in order to make as much in a day as Dexter?
Pleaseeeeeeeeeee i need it today and thank you very much

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Question 181554: Problem Solving
11. Fitness Club CanFit charges a $150 initial fee to join the club and a $20 monthly fee. Fitness "R" Us charges an initial fee of $100 and $30/month.
a) Write an equation to represent the cost of membership at CanFit.
b) Write an equation to represent the cost of membership at Fitness "R" Us.
c) Graph the two equations.
d) Find the point of intersection.
e) What does the point of intersection represent?
f) If you are planning to join for 1 year, which club should you join? Explain your asnwer.
Pleaseeeeeeeeeee my english is not very good and i need it today and thankssssssssss lotttttttttttt

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Question 181579: Solve the quadratic equation using any method you wish.
49x^2 - 14x + 1 = 0

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Question 181591: I need help wiith this;
im not really sure where to start.
this is on my worksheet called- quadratic equations and complex numbers.

(-6+12i)+(4-i)
Im not really sure where to start.
I tried to look in the book to see how to do it, but that confused me more.
I tried switching the 12i over to the other side, and the same with 4.
But i didnt get the right answer, im sure.

Click here to see answer by vleith(2983) About Me 

Question 181594: Okay, I think i did this right, but i'm not sure.
the question is;
4i(-7+i)
i got 24.
is that right?

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Question 181594: Okay, I think i did this right, but i'm not sure.
the question is;
4i(-7+i)
i got 24.
is that right?

Click here to see answer by solver91311(24713) About Me 

Question 181595: On my worksheet, it has subtracting and addition.
like, (-6+12i)+(4-i)
I was explained the addition, now it is easy to me.
but my question is...should i do it differently if it says subtract?
like...
(3-i)-(-4+9i)


do you do it differently than the addition one?

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Question 181595: On my worksheet, it has subtracting and addition.
like, (-6+12i)+(4-i)
I was explained the addition, now it is easy to me.
but my question is...should i do it differently if it says subtract?
like...
(3-i)-(-4+9i)


do you do it differently than the addition one?

Click here to see answer by stanbon(75887) About Me 

Question 181601: Okay this is my last question.
on this itsays...
14-2i Over 3+i.
I dont know if that makes sense to you
But i think i learned something about taking the conjucate of 3+i which is 3-1, but i dont know where to go from there, or if im even doing it right.

Click here to see answer by stanbon(75887) About Me 
Question 181601: Okay this is my last question.
on this itsays...
14-2i Over 3+i.
I dont know if that makes sense to you
But i think i learned something about taking the conjucate of 3+i which is 3-1, but i dont know where to go from there, or if im even doing it right.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 181603: The domain of y = sqrt 3x +6 is?
The range of y = sqrt3x + 6 is?

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Question 181600: Okay this is my last question.
on this it says...
%2814-2i%29%2F%283%2Bi%29
I don't know if that makes sense to you
But I think I learned something about taking the conjucate of 3+i which is 3-1, but I dont know where to go from there, or if im even doing it right.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 181602: Graph of the parabola y= 1/2x - 2x - 1
If the graph of the parabola is moved up 3 units what would the coordinates of its vertex be?

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Question 181574: Problem Solving
11. Fitness Club CanFit charges a $150 initial fee to join the club and a $20 monthly fee. Fitness "R" Us charges an initial fee of $100 and $30/month.
a) Write an equation to represent the cost of membership at CanFit.
b) Write an equation to represent the cost of membership at Fitness "R" Us.
c) Graph the two equations.
d) Find the point of intersection.
e) What does the point of intersection represent?
f) If you are planning to join for 1 year, which club should you join? Explain your asnwer.
Pleaseeeeeeeeeee my english is not very good and i need it today and thankssssssssss lotttttttttttt
i need it right noww

Click here to see answer by solver91311(24713) About Me 

Question 181558: 11. Fitness Club CanFit charges a $150 initial fee to join the club and a $20 monthly fee. Fitness "R" Us charges an initial fee of $100 and $30/month.
a) Write an equation to represent the cost of membership at CanFit.
b) Write an equation to represent the cost of membership at Fitness "R" Us.
c) Graph the two equations.
d) Find the point of intersection.
e) What does the point of intersection represent?
f) If you are planning to join for 1 year, which club should you join? Explain your asnwer.
Pleaseeeeeeeeeee my english is not very good and i need it today and thanks lot can you do this one because i am really confused and i have no idea how to do it okay pleaseeeeeeeeeee

Click here to see answer by solver91311(24713) About Me 

Question 181555: Problem Solving
Brooke is planning her wedding. She compares the cost of places to hold the reception.
Limestone Hall : $5000 plus $75/guest
Frontenac Hall: $7500 plus $50/guest
a) Write an equation for cost of Limestone Hall.
b) Write an equation for cost of Frontenac Hall.
c) Use a graphing calculator to find for what number of guests the hall charges are the same.
d) In what situation is Limestone Hall less expensive than Frontenac Hall? Explain.
e) What others factors might Brooke need to consider when choosig a banquet hall?
Pleaseeeee and i need it right now my english is not very good.

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Question 181637: 6x^2 + 5x + 1=0
answer:x= -1/2 or -1/3
need a full break down of how my book got those fractions as answers

Click here to see answer by Mathtut(3670) About Me 

Question 181636: 6x^2-5x+1=0
answer:x=1/3 or 1/2
need a full break down of how my book got those fractions as answers

Click here to see answer by josmiceli(19441) About Me 

Question 181480: -6 2/3 x2 + 1 1/3 x = 2/3
A) x = (-1 +- 10i)/3
B) x = (-1 +- 3i)/10
C) x = (1 +- 3i)/-10
D) x = (-1 +- 3i)/-10
E) x = (-1 +- 10i)/-3
F) x = (2 +- 3i)/6
10. -57 3/5 x2 + 3 3/5 x = -39 3/5 x2 - 7 1/5 x + 14 2/5
A) x = {2 +- i[SQRT(75)}/10
B) x = {3 +- i[SQRT(71)]}/-10
C) x = {-3 +- i[SQRT(57)]}/7
D) x = {-3 +- i[SQRT(71)]}/-10
E) x = {-2 +- i[SQRT(75)]}/-7
F) x = {2 +- i[SQRT(39)]}/14

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Question 181686: 2x^2 - 2/3x- 1/6=0


answer: x= - 1/6 or 1/2


need a break down of how my text book got this answer

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Question 181688: 1=3x^2+ 2x
answer x= -1 or 1/3

need a break down of how my text book got this answer

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Question 181685: x^2 + 2x= 3/4=0
answer x= -3/2 or -1/2

need a full break down of how my book got this answer

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

Question 181736: Method of Substitution
10. Charlene makes two types of guilts. For the first type, she charges $25 for material and $50/h for hand quilting. For the second type, she charges $100 for material and $20/h for machine quilting. For what number of hours are tthe costs the same?
Please and thank you very much. I need it today!!!

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Question 181731: Method of Substitution
9. Joanne's family decides to rent a hall for her retirement party. Pin Hall charges $500 for the hall and $15 per meal. Bloom Place charges $350 for the hall and $18 per meal.
a) Write two equations to represent the information.
b) Solve the linear system to find the number of guests for which the charges are the same at both halls.
Pleaseee and thank you very much. I need it today!!!

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Question 181727: Method of Substitution
8. Ugo plays hockey and is awarded 2 points for each goal and 1 point for each assist. Last season he had a total of 86 points. He scored 17 fewer goals than assists.
a) Write a linear system to represent the information.
b) Solve the system using the method of substitution.
c) What does the solution represent in the context of this equation?
Please and thank you very much.

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Question 181746: Method of Substitution
13. Explain why it would be appropriate to solve the following linear system either by substitution or by graphing.
x+y=4
y=2x+4
Pleaseeeeeeeeeeeee and thankssssssss lotttttttt
I need it today!!!!

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Question 181799: 1=3x^2 + 2x

answer: x=-1 or 1/3
need a break down of how my text book got this answer

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Question 181798: -4x^2=32x+ 48

answer : x=-6 or -2
need a break down of why the answer is the answer

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Question 181797: 2x^2- 2/3x - 1/6 =0

answer: x= -1/6 or 1/2

need a break down of why my text book got this answer

Click here to see answer by Alan3354(69443) About Me 
Question 181797: 2x^2- 2/3x - 1/6 =0

answer: x= -1/6 or 1/2

need a break down of why my text book got this answer

Click here to see answer by nerdybill(7384) About Me 

Question 181796: x^2 +2x + 3/4 = 0

answer:x= - 3/2 or - 1/2

need a break down of how my book got this answer

Click here to see answer by Alan3354(69443) About Me 
Question 181796: x^2 +2x + 3/4 = 0

answer:x= - 3/2 or - 1/2

need a break down of how my book got this answer

Click here to see answer by solver91311(24713) About Me 

Question 181829: Method of Substitution
1. Solve each linear system using the method of substitution. Check your answers.
a) y=3x-4
x+y=8
Pleaseeeee and thank you very much i need it right now pleasee

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Question 181836: Method Substitution
c) y=-2x+3
4x-3y=1
Please and thanks a lot
i am really confused

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Question 181853: Method of Substitution
5. Find the point of intersection of each pair of lines.
e) x-2y-2=0
3x+4y-16=0
Pleaseeeeee can you help me? thanksssssssss

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Question 181852: Method of Substitution
5. Find the point of intersection of each pair of lines.
d) a+b+6=0
2a-b-3=0
Pleasee i am really confused i dont get it

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Question 181851: Method of Substitution
5. Find the point of intersection of each pair of lines.
c) p+4q=3
5p=-2q+3
Pleasee and thank you very much!!!!

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Question 181850: Method of Substitution
5. Find the point of intersction of each pair of lines.
b) 4x+2y=7
-x-y=6
Pleaseeeee and thank you very much

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Question 181847: Method of Substitution
5. Find the point of intersection of each pair of lines.
a) 2x=y+5
3x+y=-9
Pleaseeeeeeee and thank you very much!!!!!

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Question 181842: Method of Substitution.
4. Solve by substitution. Check your solution.
e) 2x+y=4
4x-y=2
pleaseeee and thank you very much

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Question 181841: Method of Substitution
4. Solve by substitution. Check your solution.
d) 3a+2b=4
2a+b=6
Pleaseeee and thanksssssss

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Question 181840: Method of Substitution
4. Solve by substitution. Check your solution.
c) 2m+n=2
3m-2n=3
Pleaseeeeeeeeeee i confused

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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, 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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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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