Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 142984: Simplify %286%2B2i%29%28-4-3i%29
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Question 142987: Simplify i%5E23
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Question 142988: Solve 14-5y%3C=8y-8
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Question 142989: Solve abs%28x%2B3%2F4%29%3C1%2F4
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Question 142990: Solve abs%28%282x-1%29%2F3%29%3E=5%2F6
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Question 142991: Solve system%28x%2B2%2Ay-z+=+5%2C+2%2Ax-4%2Ay%2Bz+=+0%2C+3%2Ax%2B2%2Ay%2B2%2Az+=+3%29
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Question 142952: Martha wants to buy a digital camera from her three-month savings. To do this she needs to maintain an average saving of $300 in each month. She saves $450 in the first month and $200 in the second month. Find the amount she should save in the third month to buy a digital camera at the end of three months.

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Question 143014: Determine how many solutions exist
Use either elimination or substitution to find the solutions (if any)
Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3

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Question 143031: Solve x%5E2%2B6x%2B8=0
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Question 143032: Solve by completing the square

x%5E2%2B8+x=-15

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Question 143034: 3. Given:y=x%5E2%2B4x%2B5

a. Find the vertex.
b. Determine whether there is a minimum or maximum value and find that value.
c. Find the range.
d. Find the intervals on which the function is decreasing and the intervals on which the function is increasing.

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Question 143036: Solve 1%2F%284x%2B12%29-1%2F%28x%5E2-9%29=5%2F%28x-3%29

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Question 143039: Solve sqrt%282x%2B1%29-sqrt%28x%29=1

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Question 143044: Which of the following intervals represents the solution set of the inequality -3 is less than or equal to 2x+1<7
1.) (-3,7)
2.) (-2,3)
3.) [-3,7)
4.) [-2,3)

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Question 143066: The perimeter of a triangle is 195 mm. If the lengths of the sides are consecutive odd integers, find the length of each side.

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Question 143137: graph using a table of values
3x-2y=6

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Question 143128: Walt made an extra $9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of $770 in interest. How much was invested at 8%? Any help would be appreciated. Thank you very, very much.
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Question 143177: im having a difficult time solving this kind of problem
5x-2y=4
x+2y=8
it says to solve each equation by the addition menthod (*you may have to multiply both sides by -1)
if you can show me the steps and explain them to me thanks.

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Question 143162: Two graphic artists are working on a 3D game project. One artist works 3 hours more than his colleague. Together they work more than 27 hours. Find the possible number of hours each of them worked.

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Question 143459: find the vertex and intercept coordinates of the following.
y=x^2-5x-4

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Question 143482: how to draw graph for equation Y=6x3
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Question 143460: find vertex and intercept coordinates of the following
a=b^2-6b-16

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Question 143514: Graph
y < 1 - x

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Question 143533: A reduced fat cookie contains 4 grams of fat per serving. In order for food to be termed "reduced fat", it must have at least 15% less fat than the regular item. What can you conclude about how much fat is in a serving of the regular cookie?
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Question 143639: Find the solution set of the inequalities.
1. -6<-2|x|
this is what I did.
-6<-2|x|
+2 +2
______
-4< |x|

2. 5<-5+ |3a|
I used the same methods above, but the multiple choice answers asked if there were invisible, thick or thin lines...never heard of those.

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Question 143722: 1. Solve x%5E2%2B8x=11 by completing the square. Find exact solutions.
Then:
a. Find the vertex.
b. Find the line of symmetry.
c. Determine whether there is a maximum or minimum value and find that value.
d. Show a sketch of the graph.





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Question 143724: 2. Solve x%2B3%2Asqrt%28x%29-40=0



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Question 143726: 3. Solve 2y%5E4-19y%5E2=-24



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Question 143730: 4. Solve 40%2F%282x-3%29%2B30%2F%284x%2B5%29=-11



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Question 143733: 5. Simplify %286%2B4i%29%287-3i%29



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Question 143735: 6. Simplify i%5E16
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Question 143738: 7. Solve system%28x%2B3y-z+=+-2%2C+4x%2B6y%2B3z+=+4%2C+2x-y%2B2z+=+10%29
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Question 143739: 8. Solve 5y-5%2By%3C=2-6y-8
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Question 143740: 9. Solve abs%28x-1%2F4%29%3C1%2F2
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Question 143741: 10. Solve abs%28%282x%2B1%29%2F3%29%3E5
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Question 143799: Hi hows everyone today! I need your help please....
Find the slope of any line perpendicular to the line through points (0, 4) and
(-3, -6).
Thanks a million!

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Question 143825: This question is from MathXL
The question is stated as: Find an equation of the line containing the given pair of points. (3,5) and (9,9).
My first step was to identify x1 x2 and y1, y2 so I had 9-5 /9-3 . My answer to that was 4/6 reduced to 2/3. So to write an equation I was trying to put it in the form of y=mx+b So my question is if the 2/3 is x then how do I now get B?

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Question 143868: I have to know how to solve permutations. Could you please list the process, step by step?
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Question 143896: 7x-9y+10=0 how do i graph this
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Question 143932: graph the function? f(X)=(x-2)^2+1

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Question 143930: solve the system of equation by graphing. then classify the system as consistent aor inconsistent and the equations as dependent or independent
3x - 9y = 81
2x - 6y = -16

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Question 144026: i can't seem to get this expression factored. Thank you in advance for any help.
6x2 - 28x + 16

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Question 144027: Someone, please help. When you simplify with a parenthesis, do you invert first. Thank you very much.
7(x^4)^5 (-4x^2)2

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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, 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