Questions on Algebra: Equations answered by real tutors!

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Question 1040503: Let f (x) = x^2 + 18x + 84
(a) Find the vertex. Answer: ________
(b) State the range of the function. Answer: ________
(c) On what interval is the function decreasing? Answer: ________
Click here to see answer by ikleyn(52776)

Question 1040504: Let f (x) = sqr symbol x + 6 and g(x) = x � 8

(a) Find (f/g) (-2) show work
(b) Find the domain of the quotient function f/g. Explain
Click here to see answer by Aldorozos(172)

Question 1040505: Let f (x) = 4x^2 + 9 and g(x) = x � 3
(a) Find the composite function ( f o g)(x) and simplify. Show work.
(b) Find ( f o g ) (−1) . Show work.
Click here to see answer by stanbon(75887)

Question 1040500: Let f(x)= 3x^2 - 3/x^2 - 4
(a) State the domain. Answer: _________________
(b) State the horizontal asymptote. Answer: _________________
(c) State the vertical asymptote(s). Answer: _________________
Click here to see answer by stanbon(75887)

Question 1040394: Whats an example of an equation which gives the value of the Cosine function for an angle measure in its domain? What would this equation be in the form of an inverse function?
Click here to see answer by solver91311(24713)

Question 1040624: Hi, this problem's been bugging me for a few days now... Thanks for the help!
Two bicyclists are 7/8 of the way through a mile long tunnel when a train approaches the closer end at 40 mph. The riders take off at the same speed in opposite directions and each escapes the tunnel as the train passes them. How fast did they ride?
Thanks again!
Click here to see answer by Boreal(15235)

Question 1040468: Find the following, rounded to two decimal places. (Enter your answers using interval notation.)
Y=X4^(x)
(a) the intervals on which the function is increasing or decreasing?
(b) the range of the function?
Click here to see answer by Fombitz(32388)

Question 1040646: How do I slove for this question? :
-5-(-3x)+3x+4x-(-12)
Click here to see answer by Fombitz(32388)

Question 1040651: -12+2k=k-5k
Click here to see answer by Fombitz(32388)

Question 1040664: Find the 7th term of the sequence -1, -2, -4, -8 ....
Click here to see answer by Boreal(15235)

Question 1040667: Find the first five terms of the sequence whose nth term is given by the following. -2n -8
the first term?
the second term?
the third term?
the fourth term?
the fifth term?
Click here to see answer by ikleyn(52776)

Question 1040679: A large pile of soil is divided into 10 piles. One of these is further divided into 10 smaller piles, and so on.
a. Assuming enough soil, can exactly 27 piles be obtained this way?
b. What is the number of piles after the nth division?
Click here to see answer by ikleyn(52776)

Question 1040680: A large pile of soil is divided into 10 piles. One of these is further divided into 10 smaller piles, and so on.
a. Assuming enough soil, can exactly 27 piles be obtained this way?
b. What is the number of piles after the nth division?
Click here to see answer by ikleyn(52776)

Question 1040760: Saying that 4 < square root x < 9 is equivalent to saying what about x?
Click here to see answer by Fombitz(32388)

Question 1040765: What is the equation of the midline for this function?
y = 2 tan ( 0 + π/2 ) - 4
A.) y = π/2
B.) y = -π/2
C.) y = 4
D.) y = -4
Click here to see answer by estron7(44)

Question 1040765: What is the equation of the midline for this function?
y = 2 tan ( 0 + π/2 ) - 4
A.) y = π/2
B.) y = -π/2
C.) y = 4
D.) y = -4
Click here to see answer by ikleyn(52776)

Question 1040762: What value of X solves the following proportion? 9/6 = x/8
Click here to see answer by Fombitz(32388)

Question 1040762: What value of X solves the following proportion? 9/6 = x/8
Click here to see answer by ikleyn(52776)

Question 1040767: What is the equation of the midline for this function?
y = 3sec (Θ - 2) + 3
A.) y = 2
B.) y = -2
C.) y = 3
D.) y = -3
Click here to see answer by ikleyn(52776)

Question 1040834: Find the constants A, B, and C for:
(3x+4)/((x-1)^2 * (x+2)) = A/(x-1) + B/(x-1)^2 + C/(x+2)

Click here to see answer by josgarithmetic(39616)

Question 1040838: how do you simplify -(3v)^2

Click here to see answer by ikleyn(52776)

Question 1041026: Write the formula for the slope of the line through (x1, y1) and (x2, y2)
Click here to see answer by jim_thompson5910(35256)

Question 1041209: A number consists of two digits whose sum is five. When the digits are reversed , the number becomes greater by nine . Find the number.

Click here to see answer by Alan3354(69443)

Question 1041330: What are the negative and positive intervals to these equations?
y=x^2+5x+6
y=2x^2-11x-5
Click here to see answer by ikleyn(52776)

Question 1041345: Half of a bamboo is in mud,one third in water and the remaining 1.5 meters is above water. Find the total length of the bamboo?
Click here to see answer by josgarithmetic(39616)

Question 1041352: : t(c)=212 ,put: 9c/5 +32.jaldi kro
Click here to see answer by ikleyn(52776)

Question 1041341: What least number, when divided by 26,36 and 56, leaves the remainders 6,16,36 respectively ?
Click here to see answer by Edwin McCravy(20054)

Question 1041372: if 28 is divided by the sum of 2 and y. if the result is 10, find y.

Click here to see answer by Fombitz(32388)

Question 1041420: Please help me find the correct equation for this nth root term.
200, 50, 12.5 ...
Equations: https://s32.postimg.org/qwubiv651/eq1.png

Click here to see answer by ikleyn(52776)

Question 1041463: What least number, when divided by 26,36 and 56, leaves the remainders 6,16,36 respectively ?
A. 6588
B. 6552
C. 6532
D. 6536
Click here to see answer by KMST(5328)

Question 1041521: find the number such that 2/3 of the number increased by 1 is 13
Click here to see answer by jorel555(1290)

Question 1041601: Fill in the blank with the tecursive function. Be sure to include the starting point.
Anna has 100 books she wants to give away at the rate of "n" books per week. Write a recursive function that represents the number of books Anna has at anytime.
The recursive funtion that gives the number of books Anna has at any one time is
Click here to see answer by stanbon(75887)

Question 1041659: Find the equation of the line perpendicular to and containing the midpoint of the segment joining (7,-20) and (3,10)
Click here to see answer by josgarithmetic(39616)

Question 1041647: please help solve, it's important
x^y + y^x =17.....1
x + y =5
solve for x and y
question 2
x^2=√(x^2 + y^2)
find x and y
question 3
3^x - 2^x =65
x =4 but how
thanks
Click here to see answer by Fombitz(32388)

Question 1041671: x+5=3x�7
thanks
Click here to see answer by Alan3354(69443)

Question 1041868: I need help with the following.
Find all solutions of the system of equations, rounded to two decimal places.
y=e^(x) + e^(-x)
y= 3 - x^(2)
Smaller and larger x-value and y-value coordinates

Click here to see answer by stanbon(75887)

Question 1041864: A sport field is 500 feet long. Write a formula that gives the length L of x sport fields in feet. Then use this formula to determine the number of sport fields in 1350 feet.
Click here to see answer by stanbon(75887)

Question 1041863: A square is inscribed in a circle whose equation is x^2+y^2=18. Find the dimension of the square.
Click here to see answer by stanbon(75887)

Question 1041858: The sides of a triangle are along the lines x-2y=0, 5x-2y=8, and 3x+2y=21. Find the equation of the circle circumscribed about a triangle.
Click here to see answer by Edwin McCravy(20054)

Question 1041862: The circle is tangent to the line 3x-4y=34 at the point (10,-1) and also tangent to the 4x+3y=12 at hte point (3,0)
Click here to see answer by josgarithmetic(39616)

Question 1041862: The circle is tangent to the line 3x-4y=34 at the point (10,-1) and also tangent to the 4x+3y=12 at hte point (3,0)
Click here to see answer by MathTherapy(10551)

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, 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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, 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