Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

Tutors Answer Your Questions about Linear-equations (FREE)

Question 84215: [25 � (2TO THE POWER OF 3 - 3)] � 2=
Click here to see answer by sofiyacherni(99)

Question 84200: Hello out there,I need some help with one slope form problem, Write the point-slope form of the line that passes through (3,-3)and (5,1),for that problem I keep getting three different answers,one is y-1=2(x-5)or y-1=-2(x-5)and the other was y+1=-2(x+5),that problem is really hard.And well that is my only problem,thanks for whoever can help
Click here to see answer by tutor_paul(519)

Question 84227: Anyone have any ideas what this stuff is talking about? I'm lost, I need helppppp. Please. Thanks in advance

Use the arithmetic sequence of numbers 2, 4, 6, 8, 10� to find the following:
a) What is d, the difference between any two consecutive terms?
Answer:
Show work in this space.

b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.

c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?
Answer:
Show work in this space.

d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?
Answer:
Show work in this space.

e) What observation can you make about the successive partial sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)?
Answer:

Click here to see answer by venugopalramana(3286)

Question 84231: can you please tell me--after putting 2x+3y=12 into slope form what or how do you get three values for x and substitue the values to find three values for y thank you
Click here to see answer by venugopalramana(3286)

Question 84242: Write the equation of the line passing through (2,0) and (0,-5)
Click here to see answer by vertciel(183)

Question 84278: Solve the system by graphing
2x � y = 4
4x � 2y =-8

Click here to see answer by checkley75(3666)

Question 84277: Solve the following system of linear inequalities by graphing.
x + 2y < 3
2x � 3y < 6

Click here to see answer by sofiyacherni(99)

Question 84273: Graph f(x) = �3x + 2.
Click here to see answer by rapaljer(4671)

Question 84373: Solve the following by using order of operations (PEMDAS)
(10+14)x2)+8
Click here to see answer by mathmagician(1)

Question 84373: Solve the following by using order of operations (PEMDAS)
(10+14)x2)+8
Click here to see answer by IamaangelXxX(5)

Question 84502: write the equation of the line passing through (8.-4) and (4,6)
Click here to see answer by jim_thompson5910(35256)

Question 84543: Determine the slope of the line passing through each pair of points
(8,-3) (2,5)
Click here to see answer by funmath(2933)

Question 84545: How do you get the answer for the following equation? 3x - 4y = 12? Step by step process in order to understand,please.
Click here to see answer by Edwin McCravy(20055)

Question 84547: I am having a problem understanding how the slope is obtained on a graph. What exactly is the slope? How do you find it when you only have one point given? I have a word problem that needs to be solved. If someone descends 1800 ft in elevation by the time he is 3.25 miles horizontally away from the top of the mountain, what is the slope of his descent to the nearest hundredth. I do not know how to set up the equation until I can understand what slope is. I look at the graphs and understand the points, but not what the slope is. Please help if possible. Thank you
Click here to see answer by funmath(2933)

Question 84606: I am having trouble trying to find the point slope form that a line passes through given these points (0,0) and (-6-5)
Click here to see answer by tutorcecilia(2152)

Question 84611: determine the slope of the line passing through {2,7} and {-5,2}
Click here to see answer by funmath(2933)

Question 84603: Time to weigh the Hippopotami!
Martha is the chief hippopotamus caretaker at the Henry Vilas Zoo in Madison, Wisconsin. She has just arrived at the cargo dock in order to pick up four members of the endangered species hippopotamus mathematicus that were recently rescued from African poachers. Before the animals are released, Martha must weigh them.
However, the only scale big enough to weigh a hippo is the truck scale, which doesn't weigh anything lighter than 300 kilograms. This is more than each of the hippos weighs. Martha is puzzled for a few minutes, then gets the idea of weighing the hippos in pairs, thinking that if she gets the weight of every possible pair, she can later figure out the weights of the individual hippos.
She weighs the hippos pair by pair, and gets 312 kg, 356 kg, 378 kg, 444 kg, and 466 kg. Before she can weigh the heaviest pair of hippos, the scale breaks. Alas.
1. What was the weight of the last pair of hippos?
2. What are the weights of the individual hippos?
3. Could you have done this problem with fewer weighings? How many fewer?

Click here to see answer by bucky(2189)

Question 84632: X*X=4X+32
Click here to see answer by rapaljer(4671)

Question 84662: Tuor How do I do this???
Complete the table for the polynomial
4a3b3 - 5a2b2 - 3ab + 7a - 9b + 11

Term Numerical Coefficient Degree of Term
4a3b3
-5a2b2
-3ab
7a
-9b
11

Thank you
Click here to see answer by funmath(2933)

Question 84627: 6 * (5+4) =
Click here to see answer by checkley75(3666)

Question 84703: IS the line that contains the points (4,-3) and (5,5) parallel to the line that contains the points (-2,-3) amd )-4,1)?
Click here to see answer by uma(370)

Question 84706: Please can you help me find the intersection points (x,y)for each of the following problems...
1)y=-2x+9
2)y=-1x+8
3)y=3/4x+1/2
4)y=-2x+3
Click here to see answer by bucky(2189)

Question 84698: I have several tables of data and need to show symbolic representation and graphical representation
For example:
14 15
16 13 I have several tables like this - don't understand
18 20
20 15
22 18
24 22
26 18
28 23
Click here to see answer by Edwin McCravy(20055)

Question 84808: Solve for s

D equals C-s over n

Click here to see answer by rapaljer(4671)

Question 84811: solve for b
A=1/2h(B+b) Area of Trapezoid

also solve for b
A=1/2(16)(20+b)
Click here to see answer by Spec80(9)

Question 84820: I have a question that states: Determine the slope-intercept form of the equation of the line. The points on the graph are (0,2), (-6,-7). The answer is -3/2 isn't it?
Click here to see answer by tanimachatterjee(60)

Question 84833:
Click here to see answer by Spec80(9)

Question 84854: plot the points in the coordinate plane. what is the distance and the midpoints of (1,1),(9,7)
Click here to see answer by jim_thompson5910(35256)

Question 84838: Find the slope and the y intercept.
I know generally finding the slope and the y intercept -
slope = m =
y intercept is (0, ?)
The problem is 7x + 3y = 4
Click here to see answer by checkley75(3666)

Question 84839: Subtract

3/x^2 � x -12 + 2/x^2 + x -20
Informational:
x^2 = x to the second power or x squared
/ is 3 and 2 over or divided by.
Click here to see answer by rapaljer(4671)

Question 84893: Write the equation of a line that passes through the points (3,4) and (-5,-6). In standard form. Thanks:)
Click here to see answer by Mona27(45)

Question 84896: graph each equation plot at least five points for each equation
Click here to see answer by jim_thompson5910(35256)

Question 84905: Can anyone help me with this? I'm stuck again and don't understand this geometric sequence stuff. Any help would be appreciated!
Use the geometric sequence of numbers 1, 3, 9, 27, to find the following:
a). What is r, the ratio between 2 consecutive terms?
Answer:
Show work here

b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer:
Show work here.

c) Using the formula for the sum of a geometric sequence, what is the sum of the first 10 terms?
Answer:
Show work here

Click here to see answer by Edwin McCravy(20055)

Question 84932: Find the slope of any line perpendicular to the line through points (7, 15) and (8,2).
Click here to see answer by Earlsdon(6294)

Question 84941: solve the system by elimination method x+8y=-16
4x+9y=-18
Click here to see answer by checkley75(3666)

Question 84945: IS anyone able to help me? Don't have any idea what do.

Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27� to find the following:
a) What is r, the ratio between 2 consecutive terms?

b) Using the formula for the sum of the first n terms of a geometric sequence, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.

c) Using the formula for the sum of the first n terms of a geometric sequence, what is the sum of the first 12 terms? Carry all calculations to 6 decimals on all assignments.

d) What observation can make about the successive partial sums of this sequence? In particular, what number does it appear that the sum will always be smaller than?

Click here to see answer by stanbon(75887)

Question 84986: Simplify: �(�3)
Click here to see answer by stanbon(75887)

Question 84997: Use the properties of addition and multiplication to complete the statement. (9 + 17) + 20 = 9 + ( ____ + 20)
Click here to see answer by 303795(602)

Question 85011: Rewrite the equation 2x � 3y = �6 as a function of x
Click here to see answer by uma(370)

Question 85013: Find the slope and y-intercept.
x = �5

Click here to see answer by uma(370)

Question 85012: The equation y = 10x � 100 describes the amount of money a class of students might earn from candy bar sales. What are the slope and y-intercept of this line?
Click here to see answer by uma(370)

Question 85004: solve for y. write the answer in the form y=mx+b, where m and b are real numbers.
-x/3 + y/2 = 1
Click here to see answer by stanbon(75887)

Question 84998: Write the following phrase using symbols. Use the variable x to represent the number. 7 less than a number
Click here to see answer by stanbon(75887)

Question 84996: MULTIPLY(-4/7)(28)
Click here to see answer by stanbon(75887)

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, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045