Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 80879: which binomial is a factor of
14aSQUARED-15a+4
A.(-6,-7)
B.(6,7)
C.(-6,-7)
D.(6,-7)

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Question 80877: solve
ySQUARED=13y-42

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Question 80850: factor the quadratic expression completely, and find the roots of the expression.
1. 135x2 - 222x + 91
2. 6x2 - 42x + 72

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Question 80954: Write the equation of the line with slope –2 and y-intercept (0, 0). Then graph the line.
Click here to see answer by bucky(2189) About Me 

Question 80956: Determine which two equations represent parallel lines.
y = –5x + 2
y = 5x + 2
y = 1/5 x + 2
y = –5x + 5

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Question 80984: how do you find the axis of symmetry and the vertex?
Click here to see answer by stanbon(75887) About Me 

Question 80999: can you help me solve by using the quadratic formula.
x^2=x+8

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Question 81001: please help me solve this?
(x+4)^2=4

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Question 81000: can i please have help to solve this?
(x-1)^2=5

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Question 81000: can i please have help to solve this?
(x-1)^2=5

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Question 80998: I have to find the distance between (-9,4)and(0,-8) can i solve it this way?
4+-8=4
-9+0=-9

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Question 80996: can i please have help i need to find the x intercepts
y=x^2+5x+6

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Question 80995: the length of a rectangle is 5 cm more than 3 times its width. If the area of the rectangle is 95 cm^2, find the dimensions of the rectangle to the nearest thousandth
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Question 80997: Can you please help me by completing the square?
2x^2-4x-3=0

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Question 80960: Please help me solve this problem: Given a line containing the points (1,3), (2,4), (3,5) determine the slope-intercept form of the equation, give one additional point of this line and graph the function.
Equation of line in slope-intercept form:
Show your work here:
Give one additional point in (x,y) form that would fall on this line:
Graph the function:

Click here to see answer by checkley75(3666) About Me 

Question 81046: This problem is not from my book. I have tried to answer it but don't feel I am correct, and I need every point possible to pass this course.
Problem
What is the minimum product of two numbers whose difference is 4? What are the numbers?
Here is what I have done.
n(n+1)=-4
n^2 + n = -4
n^2 + n - 4 = 0
(n+1)(n-4)
The numbers are 1, -4, the minimum product is -4
Thank you so much for your help. Like I said I don.t think my solution is correct.

Click here to see answer by scott8148(6628) About Me 

Question 81093: write the equation of the line passing through 6, -10 and 6, -6
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Question 81106: which trinomial is not a perfect square trinomial
A. 4xSQUARED+4x+1
B. xSQUARED+10x-25
C.25-30x+9xSQUARED

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Question 81169: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
winner:___votes
loser:____votes

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Question 81168: Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
10x+2y=7
y=-5x+3

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Question 81171: A small firm produces both AM and AM/FM car radios. The AM radios take 15 hours to produce, and the AM/FM radios take 20 hours. The number of production hours is limited to 300 hours per week. The plant’s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.
You must show a graph to earn credit for this question.
Your graph must indicate shading.
You can use words to tell me if your line is solid or dashed.
Hint: There should be 4 separate lines on your final graph.

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

Question 81129: Problem
The length, width, and height of a box are x, 2x, and 3x-5 inches, respectively. Write a polynomial V(x) that represents its volume. Find V(3)
Here it what I have.
V= x^2 (x + 2)(3x - 5)
= x^2 + 6x - 10
If you put 3 in place of x the volume = 180
I don't know if I am corret and would appreciate your input and help. Thank you

Click here to see answer by tutor_paul(519) About Me 

Question 81160: Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?
Nickels:
Dimes:

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Question 81192: Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?
Nickels: ____
Dimes:_____

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Question 81159: Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?
Nickels:
Dimes:

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Question 81229: Solve the following system by substitution
4x-12y=5
-x+3y=-1

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Question 81155: Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
2x+3y=1
5x+3y=16

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Question 81164: Solve the following system by substitution
5x-2y=-5
y-5x=3

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Question 81289: solve by using the quadratics formula
15nSQUARED-3=4n

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Question 81285: determine the amount of an investment if 700$ is invested at an interest rate of 8% compounded monthly for 9 years
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Question 81296: Problem
Volume. The length, width, and height of a box are x, 2x, and 3x - 5 inches, respectively. Write a polynomial V(x) that represents its volume. Find V(3).
This is what I have.
V(x) = x^2(x + 2)(3x - 5)
When you put V(3) into the equation the volume= 180
I would appreciate any help with this question. Thank you.

Click here to see answer by stanbon(75887) About Me 
Question 81296: Problem
Volume. The length, width, and height of a box are x, 2x, and 3x - 5 inches, respectively. Write a polynomial V(x) that represents its volume. Find V(3).
This is what I have.
V(x) = x^2(x + 2)(3x - 5)
When you put V(3) into the equation the volume= 180
I would appreciate any help with this question. Thank you.

Click here to see answer by Earlsdon(6294) About Me 

Question 81279: solve using the quadratics formula
rSQUARED+16r+21=0

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Question 81322: Please helllllppp!
The price p and the quantity x sold of a certain product obey the demand equation:
x = -20p + 500
0 less than or equal to p which is less than or equal to 25
a) express the revenue R as a function of x
b) what is the revenue if 20 units are sold?
c) what quantity x maximizes revenue? what is the maximum revenue?
d) what price should the company charge to maximize revenue?
Thank you thank you

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Question 81283: find the fourth term of a geometric sequence in which a1=-3 and r=7
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Question 81336: Can someone please help me to write in simplest form i am stuck?
x^2+6x-40
over
x^2-100

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Question 81278: can you please check this for me? I have to solve by using the quadratic formula.
5x^2+x+10=0
a=5
b=1
c=10
b^2-4ac=1^2-4*5*10=-199
-199 is less than 0 so no solution is defined

Click here to see answer by jim_thompson5910(35256) About Me 

Question 81380: Problem:
The length of a rectangle is 2 inches more than twice its width. If the perimeter of the rectangle is 34 inches, find the dimensions of the rectangle.
Answer:

Width: ___________ inches

Length: ___________inches

Click here to see answer by askmemath(368) About Me 

Question 81503: Hi! This is my problem: Please tell me if I am anywhere near the right direction~~ Thanks~!!!!!
Solve by completing the square:
x2 + 8x + 2 = 0
my answer:
x^2+8x=-2
x^2+8x+16=16-2
x^2+8x+16=14
(x+4)^2=14
x+4=+or-√14
x=√(14) -4 or x=√(14) + 4

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

Question 81506: I need help figuring out how to do these quadratic formulas. Any help would be great, thanks so much!!!!!!!



Solve using the quadratic formula:
x2 – 5x – 1 = -7

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Question 81517: Hi! I always like to try to figure these out before I ask for help, so can you tell me if I am anwhere where I need to be on this one? Thanks!!!
Solve using the square root property:
2x2 – 3 = 15
2x^2=15
x=√15 or x=-√15
x=√3√5 or x=-√3√5

Click here to see answer by mathdoc316(9) About Me 
Question 81517: Hi! I always like to try to figure these out before I ask for help, so can you tell me if I am anwhere where I need to be on this one? Thanks!!!
Solve using the square root property:
2x2 – 3 = 15
2x^2=15
x=√15 or x=-√15
x=√3√5 or x=-√3√5

Click here to see answer by Earlsdon(6294) About Me 

Question 81538: Determine which two equations represent perpendicular lines.
y=5/8x-3
y=3x-5/8
y=-1/3x+5/8
y=1/3x-

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Question 81543: Graph f(x) = –3x – 2.
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Question 81540: Write the equation of the line that passes through point (0, –9) with a slope of 6.
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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