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Question 1139327: Prove these identities.
a) (a+b+c)(ab+bc+ca)−abc= (a+b)(b+c)(c+a)
b) (ax+by)^2 + (ay−bx)^2 +c^2(x^2 +y^2)= (x^2 +y^2)(a^2 +b^2 +c^2)
Thank you so much :)
Click here to see answer by MathLover1(20849)

Question 1139450: Make x the subject
y=1-Inx
y=(x-1)^3
Thank you:)
Click here to see answer by josgarithmetic(39616)

Question 1139463: what numbers multiply to make -10 but add to make 5
Click here to see answer by Edwin McCravy(20054)

Question 1139463: what numbers multiply to make -10 but add to make 5
Click here to see answer by rothauserc(4718)

Question 1139617: Which ordered pair is a solution to mx + ny=0
A. (m,n)
B. (0,0)
C. (0,n)
D. (n,m)
Click here to see answer by MathLover1(20849)

Question 1139690: In electronics, according to Ohm's law, E = IR, where "E" is
voltage (measured in volts), "I" is current (measured in amps), and
"R" is resistance (measured in ohms).
Express the resistance, R, in terms of voltage "E" and current "I".
In other words, solve E = IR for "R" by treating "E" and "I" as
constants.
Click here to see answer by ikleyn(52776)

Question 1139760: A table of values of a linear function is shown below. Find the output when the input is n
input 1 2 3 4 n
output -4 -5 -6 -7
Click here to see answer by josgarithmetic(39616)

Question 1139760: A table of values of a linear function is shown below. Find the output when the input is n
input 1 2 3 4 n
output -4 -5 -6 -7
Click here to see answer by ikleyn(52776)

Question 1139767: x^2-6x+2=(x-p)^2+q

Click here to see answer by ikleyn(52776)

Question 1139768: x^2-6x+2=(x-p)^2+q

Click here to see answer by ikleyn(52776)

Question 1139779: in an artesian aquifer of 8m stick, 10cm diameter well is pumped at a constant rate of 100m per minute. the steady state draw dawn observed in two wells located at 10m and 50m distance from the center of the well are 3m and 0.05m respectively. compute the transmissivity and hydraulic conductivity of the aquifer
Click here to see answer by ikleyn(52776)

Question 1139826: Kevin is hiking the Appalachian Trail m. He begins at a mountain in Georgia which is the start of the trail. Today he saw a sign for Newfound Gap 17miles ahead. If a Newfound Gap is the 230 mile mark of the trail, where is he?
Click here to see answer by josmiceli(19441)

Question 1139864: In an artesian aquifer of 8m thick, 10cm diameter
well is pumped at a constant rate of 100m per
minute. The steady state draw down observed in
two wells located at 10m and 50m distance from
the center of the well are 3m and 0.05m
respectively. compute the transmissivity and
hydraulic conductivity of the aquifer
Click here to see answer by ikleyn(52776)

Question 1139867: In an artesian aquifer of 8m thick, 10cm
diameter
well is pumped at a constant rate of 100 litres per
minute. The steady state draw down observed in
two wells located at 10m and 50m distance from
the center of the well are 3m and 0.05m
respectively. compute the transmissivity and
hydraulic conductivity of the aquifer
Click here to see answer by ikleyn(52776)

Question 1139903: Five more than three times a number is equal to one less than that number.
Click here to see answer by ikleyn(52776)

Question 1139903: Five more than three times a number is equal to one less than that number.
Click here to see answer by josgarithmetic(39616)

Question 1139941: (a/b)^x-3=(b/c)^x-5
x=?
Click here to see answer by Alan3354(69443)

Question 1139956: Find the value of k, given
4x - y +2k +1 =0 has real roots
Click here to see answer by josgarithmetic(39616)

Question 1140041: Prove or disprove the statement ( A U B)' = (A' U B') by using the regions in the Venn diagram provided.
Since I cannot make this Venn diagram on here, I'll describe it. A is one circle and B is the other circle. Region I is in circle A, region II is in the intersection of circle A and B, region III is in circle B, and region IV is outside the circles.

Click here to see answer by MathLover1(20849)

Question 1139993: Prove or disprove the statement ( A U B)' = (A' U B') by using the regions in the Venn diagram provided.
Since I cannot make this Venn diagram on here, I'll describe it. A is one circle and B is the other circle. Region I is in circle A, region II is in the intersection of circle A and B, region III is in circle B, and region IV is outside the circles.
Click here to see answer by MathLover1(20849)

Question 1140070: People in a company are usually happier by the more money they make. There was a survey conducted to see if this was true. Below is the table of scores of happiness based on 0-100 the employees gave based on the money they make.

Money and Happiness?
20,000-------75

30,000-------65

45,000-------75

60,000-------90

50,000-------85

55,000-------90

40,000-------80

30,000-------70

55,000-------85

40,000--------85

I know how to do a scatter plot. I am confused about part b, c and d.

B. What do you think the relationship is between the money and how happy they are? Explain, please.
C. Jordan found the equation of y = 0.0006x + 62 to represent the graph. How happy (score) do you think the employees will give if they make $67,000?
D. What does the number 0.0006 in Part (b) mean in our situation. Also, what does 62 mean in our situation? Please explain how you arrived at your answer. Please and Thank you
Click here to see answer by jim_thompson5910(35256)

Question 1140135: Make x the subjects of the formula:a/a-x=b/b+x
Click here to see answer by josgarithmetic(39616)

Question 1140173: solve the following equation
2x^2-7x-3=0 giving your answer correct to 2 decimal places
Click here to see answer by ikleyn(52776)

Question 1140237: Here is the formula used to find compound interest. In this situation, interest is compounded once a year: How would the formula change if the interest were compounded 4 times in a year? Explain your changes.

A = Final Amount
P = Principal Amount (money deposited)
r = Annual rate on interest
t = Time (number of years)
Click here to see answer by Alan3354(69443)

Question 1140263: Delilah wants to join a gym, so she shops around to find the one with the lowest overall price (she is not sure how long she will be a member). She finds the Harbor Square Athletic Club is running a special, and only charges a $25 initiation fee plus $87 a month to be a member. The local YMCA charges $100 to join, and has a monthly fee of $72.

Click here to see answer by greenestamps(13198)

Question 1140287: In a single week at a Call Centre, the team of Jimmy, Stephanie, Tom and Abigail had received a total of 140 calls.
Stephanie received twice as many calls as Jimmy and Tom received 20 less calls than Stephanie. Abigail had received a quarter as many calls as Tom.
How many calls did each of the team receive?
Click here to see answer by josgarithmetic(39616)

Question 1140293: In a single week at a Call Centre, the team of Jimmy, Stephanie, Tom and Abigail had received a total of 140 calls.
Stephanie received twice as many calls as Jimmy and Tom received 20 less calls than Stephanie. Abigail had received a quarter as many calls as Tom.
How many calls did each of the team receive?

Click here to see answer by josgarithmetic(39616)

Question 1140341: How to solve this: x -.2x = 500 or X minus 20% of X Equals 500.
Click here to see answer by josgarithmetic(39616)

Question 1140341: How to solve this: x -.2x = 500 or X minus 20% of X Equals 500.
Click here to see answer by MathLover1(20849)

Question 1140324: Ryan bought 2 bikes, b, four new wheel reflectors, and a bike horn for $8. Each reflector cost $4.25. His total cost for the bike and reflectors was $283.50. Write the equation to solve for the cost of the bike. How much did Ryan pat for each bike?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1140364: find the value for x^2 + y^2 if x + y=7 and x^3 + y^3 = 19
Click here to see answer by dkppathak(439)

Question 1140422: Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t)=280e^−0.015t where m(t) is measured in grams. Do not include units in your answers.
(a) Find the mass at time t=0
(b) How much of the mass remains after 35 years?

Click here to see answer by josgarithmetic(39616)

Question 1140551: what the answer to -4(u+5)+5u

Click here to see answer by rothauserc(4718)

Question 1140646: Given y = x + 0.25, what other equation would result in a system with infinitely many solutions?

Click here to see answer by ikleyn(52776)

Question 1140708: What is x?
5/6 = 12/x
Thank you!
Click here to see answer by MathLover1(20849)

Question 1140708: What is x?
5/6 = 12/x
Thank you!
Click here to see answer by Alan3354(69443)

Question 1140708: What is x?
5/6 = 12/x
Thank you!
Click here to see answer by ikleyn(52776)

Question 1140719: One cellular phone carrier charges $26.50 a month plus $.15 a minute for local calls. Another carrier charges $14.50 a month and $.25 a minute for local calls. For how many minutes is the cost of the plans the same?
Click here to see answer by Boreal(15235)

Question 1140877: Without a calculator find, 1/[sqrt(1) + sqrt(2)] + 1/[sqrt(2) + sqrt(3)] + 1/[sqrt(3) + sqrt(4)] + ...+ 1/[sqrt(15) + sqrt(16)]
Click here to see answer by ikleyn(52776)

Question 1140964: Please help me!
Triangle ABC is formed by the points A(2,0), B(4,-4) and C(-2,-2). Prove using a property of
linear relations that this is a right triangle.
Click here to see answer by Boreal(15235)

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, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580