Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 180712: My book gives an example of an quadratic equation, but I do not understand how it has been worked. Here is the one that I have to turn in on my home work x2-2x-13=0,and here is the example from the book: My e-mail address is, glen.a.harris@windstream.net
x2+3x-10=0
x2+3x=10
4x2+12x=40
4x2+12x+9=40+9
4x2+12x+9=49
2x+3=+7
2x+3=7 2x+3=-7
2x=4 2x=-10
x=2 x=-5

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Question 180709: Linear Systems Problem Solving
4. To run a 30-s ad during a weekday morning, one radio station charges a fixed cost of $400, plus $150 for each day the ad is run. A second radio station charges a fixed cost of $300, plus $200/day. The costs can be modelled by the following equations, where C is the total cost and n is the number of days for which ad is run.
Station 1:C=150n+400
Station 2:C=200n+300
a) Find the missing element in the ordered pair ( , 700) that satisfies both equations and is in the form (n, C).
b) Explain what your ordered pair from part a) means for both radio stations.
c) Which station has the lower cost for running a 30-s ad for 5 weekday mornings? Hint: Find (5, ) for each equation.
Thankssssssssssssssssssssss alottttttttttttttt pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee

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Question 180765: Linear Systems
3. The arms of an angle lie on the lines x+4y=9 and 3x-2y=13. What are the coordinates of the vertex of the angle?
pleaseeeeeeeeeeeeeeeee
Thank you very much

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Question 180766: Linear Systems Problem Solving
3. One equation of a system is 2x-y=5. Write a second equation so that the system has
a) no solution
b) infinitely many solutions
c) one solution, (3, 1). pleaseeeee
Thanks a lotttt

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Question 180707: Linear Systems
1. Solve by graphing. Check each solution.
a) y=x-3 b) y=2x-1 c) x+3y=2 d) 3x+2y=6
y=3-x y=-x+5 x-y=6 y=4-x
Thank you very much pleaseeeeeeeeeeeeee

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Question 180786: Connect English With Mathematics and graphing Lines
3. For each of the following, write a word or phrase that has the opposite meaning.
a) decreased
b) subtracted
c) less than
d) minus
e) added to
f) more than
Sorry, because my english is not good help me pleaseeee and thank you very much.

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Question 180789: x2 -6x-7=0
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Question 180787: Connect English with Mathematics and Graphing Lines
4. Translate each sentence into an algebraic equation.
a) One sixth of a number, increased by 15, is 42.
b) Three times a number, decreased by four, is five more than six times the number.
c) When tickets to a soccer game cost $4 each, the revenue at the gate is $320.
d) the total length of the base and height of a triangle 15cm.
PLeaseeeeeeeeeeeeeeeeeee thankssssssssssssssss alottttttttttttttttttt

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Question 180787: Connect English with Mathematics and Graphing Lines
4. Translate each sentence into an algebraic equation.
a) One sixth of a number, increased by 15, is 42.
b) Three times a number, decreased by four, is five more than six times the number.
c) When tickets to a soccer game cost $4 each, the revenue at the gate is $320.
d) the total length of the base and height of a triangle 15cm.
PLeaseeeeeeeeeeeeeeeeeee thankssssssssssssssss alottttttttttttttttttt

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

Question 180814: Throwing a wrench. An angry construction worker throws his wrench downward from a height of 128 feet with an ?
initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)= -16t^2 -32t + 128.
a) what is the height of the wrench after 1 second?
b) how long does it take for the wrench to reach the ground?

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Question 180814: Throwing a wrench. An angry construction worker throws his wrench downward from a height of 128 feet with an ?
initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)= -16t^2 -32t + 128.
a) what is the height of the wrench after 1 second?
b) how long does it take for the wrench to reach the ground?

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Question 180830: 4. Create a real-life situation that fits the equation (x + 3)(x - 5) = 0 and express the situation as the same equation.
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Question 180754: The graph of y=1/3(x+5)^2-10 has?
what vertex and what range?

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Question 180849: the diagram shows the a right angled triangle. based on the length of the sides of the triangle form a quadratic equation in term of y.
AB=(y+3)cm
BC=3y cm
AC= (4y-3) cm
help me pless...tq for helping me,....

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Question 180852: a train normally travels 240km at a certain speed. one day, due to bad weather, the train's speed is reduced by 20km/h so that the journey takes two hours longer. find the normal speed.
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Question 180852: a train normally travels 240km at a certain speed. one day, due to bad weather, the train's speed is reduced by 20km/h so that the journey takes two hours longer. find the normal speed.
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Question 180877: How do you find a quadratic equation if you are only given the solution
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Question 180883:
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Question 180884: Please help me to solve this problem: +x2-4x-7++=+0+, Determine whether the following equation have a solution or not? Justify your answer.
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Question 180885: (2x - 1 )2 -4(2x -1)+ 2 =0
Not sure about my solution

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Question 180881: The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?

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Question 180892: I need to find the vertex form/function in form, axis of symmetry and max or min of the following equation, and am really confused.
y=x^2+6x+5

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Question 180997: Find the combination of 9 objects taken 6 at a time.
Did I do this correctly?
C(9,6)= 9! over 6!(9-6)! = 9! over 6!3!= 9x8x7x6! over 6!3! = 504 over 3 = 168

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Question 180999: Let f(x)=3x-7 and g(x)=(x+2)^2
Find the composite function f(g(x)).
Did I do this correctly?
3(x+2)^2-7
3x^2+36x+4-7
3x^2+36x-3

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Question 181000: 3xsquared-6x=24
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Question 180998: 3. Walt made an extra $12,000 last year from a part-time job. He invested part of the money at 7% and the rest at 9%. He made a total of $970 in interest. How much was invested at 7%?
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Question 181018: Can you help me with this please.
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay?  Explain what is different in the form of the function in each case.
True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x".  Explain.

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Question 181025: Joe has a collection of nickles and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickles was decreased by 10,the vlue of th ecoins would be $9.85. How many dimes does he have?
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Question 181032: 3xsquared-6x=24
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Question 181076: The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want five more people to join the club so that the cost per person will decrease by $2,000. How many members are currently in the club?
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Question 181082: Solve this quadratic equation using the quadratic formula.
2x2 - 2x = 1

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Question 181024: Write three quadratic equations.with a, b, and c ( coefficients x2, x and the constant) are integers, rational mumbers and irrational numbers.
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Question 181199: I need to solve the equation: 2n2-7n-3=0
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Question 181171: Connect English with mathematics and Graphing Lines
5. Find the point of intersection for each pair of lines by graphing. check your answers.
a) y=2x+5
y=x+1
b) y=-2x+3
y=3x+8
Pleaseeeeeee i need it today and my english is not very good.

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Question 181269: Will you PLEASE HELP. I am clueless on how to work these problems.
A cell divides into two identical copies every 4 mintues. How many cells will exist after 5 hours.
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?

Thanks for your help.

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Question 181328: What is the equation by factoring 3x^2 = 75x
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Question 181361: Problem Solving
13. Jeff clears driveways in the winter to make some extra money. he charges $15/h. Hesketh's Snow Removal charges $150 for the season.
a) Write an equation for the amount Jeff charges to clear a driveway for the season.
b) Write an equation for Hesketh's Snow Removal.
c) What is the intersection point of the two linear equations?
d) In the context of this question, what does the point of intersection represent?
Pleaseeeeeeeee i need it today and thank you very much.

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Question 181375: Solve equation by factoring
x^2-4x=21
standard Form
x^2-4x-21=0
Thanks for your help!

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Question 181354: Problem Solving
12. LC Video rents a game machine for $10 and video games for $3 each. Big Vid rents a game machine for $7 and video games for $4 each.
a) Write a linear equation to represent the total cost of renting a game machine and some video games from LC Video.
b) Write a linear equation to represent the total cost of renting a game machine and some video games from Big Vid.
c) Find the point of intersection of the two lines from part a) and b).
d) Explain what the point of intersection represents in this context.
Thanksssssss and i need it today..

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Question 181386: Problem Solving
19. Graph the equations 3x-y+1=0, y=4, and 2x+y-6=0 on the same grid. Explain what you find.
Pleaseeeeeeee i need it today and thanksssssssss

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Question 181387: Problem Solving
20. a) Can you solve the linear system y=2x-3 and 4x-2y=6? Explain your reasoning.
b) Can you solve the linear system y=2x-3 and 4x-2y=8? Explain your reasoning.
c) Explain how you can tell, without solving, how many solutions a linear system has?
pleaseeeeeeeeeee i need it right now and thankssssssssss

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Question 181400: For the quadratic function : f(x) = 2x^2 - 4x -6, find:
a. The x intercepts and the y intercepts
b. THe domain and range
c. The axis of symmetry and the vertex.
d. Find the minimum value of the function.

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Question 181439: an orange grower has 400 crates or fruit ready and will have 20 more for each day the grower waits to sell. the present price is $60 per crate and will drop $2 per crate per day. in how many days should the grower ship the crop to maximize income?
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Question 181439: an orange grower has 400 crates or fruit ready and will have 20 more for each day the grower waits to sell. the present price is $60 per crate and will drop $2 per crate per day. in how many days should the grower ship the crop to maximize income?
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Question 181447: What are they asymptotes of the functions "f(x) = 4^x" and "g(x)= log5x" ***The 5 is opposite of ^5. I am unable to find that symbol on my computer.***
This is from my Elementary and Intermediate Algebra class.
Thank you in advance.

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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, 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