Questions on Algebra: Equations answered by real tutors!

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Question 152869: Find the solution(s) for when f(x) = -4 if f(x) = x^2 – x and f(x) = 12.
a. x = {4}
b. x = {-3, 4}
c. x = {-4, 3}
d. No solution
Click here to see answer by edjones(7569)

Question 152989: Is it possible for four consecutive even numbers to have a sum that is 10 more than the sum of the smallest two numbers? If so, tell how many solution(s) there are. If there are no solutions, tell why not.
Click here to see answer by orca(409)

Question 152987: A 2000 Liter tank containing 550 Liters of water is being filled with water at the rate of 75 Liters per minute from a full 1600 Liter tank. How long will it be before the two tanks have the same amount of water?
Click here to see answer by orca(409)

Question 152988: A boat weighs 1500 pounds more than its motor and 1900 pounds more than its trailer. Together the boat and motor weigh 5 times as much as the trailer. How much does the boat weigh?
Click here to see answer by jojo14344(1512)

Question 152884: Juanelda's doctor has prescribed medication that she must take every 5 hours. she started the medication at 10AM on Thursday. What is the first day on which she will take her medication at noon? Write an equation that will provide this answer.
Click here to see answer by Edwin McCravy(8912)

Question 152973: 1. The sum of two numbers is 70. Their difference is 34. What are the numbers?

2. It takes a ferryboat 2 hours to travel 30 miles going downstream and 3 hours for the return trip upstream. What is the ferryboat's speed in still water?

3. Yolanda is twice as old as Tyrone. Six years from now the sum of their ages will be 27 years. How old are Yolanda and Tyrone now?
Click here to see answer by ankor@dixie-net.com(15661)

Question 153029: How many terms are there in the following expression: 3x^3 – 64x^2 + 12x + (4 -2)? @ Terms are items that are added or subtracted; you always have at least one term (positive or negative), the remaining terms being separated by ‘+’ and ‘-‘ symbols. The last term is parenthetical, and is treated as a single unit.
a. 5
b. 4
c. 3
d. None
Click here to see answer by jim_thompson5910(28598)

Question 153034: Consider a rational function whose denominator is -x^2 + 4x + ½. What is the maximum number of vertical asymptotes it may have?
a. 2
b. 4
c. ½
d. The denominator defines the function’s zeroes, not its vertical asymptotes.
Click here to see answer by jim_thompson5910(28598)

Question 153035: When factoring the following by the reverse FOIL method, the factors of 6 must add up to the value of B in f(x) = x^2 + Bx + 6; what are the possible values of B? @ The factors of 6 represent the outers and the inners that combine to give the middle term in the trinomial. However, since 6 is positive, B could be positive or negative.
a. 5, 7
b. ±5, ±7
c. -5, 7
d. None of the above, the factors of B must add up to 6
Click here to see answer by jim_thompson5910(28598)

Question 153038: Define the solutions to: Q(w) = w^2 – 10w + 9 @ The thing to recognize is that the equation is of a quadratic form. Hence, reverse FOIL can be easily used.
a. x = ±1, ±3
b. x = 1, 9 only
c. x = -1, -9 only
d. None of the above
Click here to see answer by jim_thompson5910(28598)

Question 153040: Solve for x: √(x-6) - √(x-6) = 36 @ A quick examination of the problem reveals that the left side becomes zero, eliminating the variable altogether.
a. 6
b. 16
c. 10
d. No solution
Click here to see answer by vleith(2825)

Question 153036: What is the maximum value of q(x) = -2(x + 4)^2 + 23? @ The quadratic’s leading factor is negative (-2), so the curve opens “down” indicating it has a maximum. In the completing-the-square format, this ordinate apex value is the constant found at the end.
a. -32
b. 4
c. 23
d. There is no maximum value
Click here to see answer by jim_thompson5910(28598)

Question 153043: How many solutions are there to | x + 2 | = -14?
@ This problem requires you to think first; there are no values of x that can have the absolute value applied to it and the value be negative.
a. 1
b. 2
c. -16
d. None of the above
Click here to see answer by jim_thompson5910(28598)

Question 153045: Where are you looking if the indices i and j are equal in a square matrix?
@ This is the main diagonal, defined to be where the indices are equal.
a. Along the middle row
b. Along the middle column
c. Along the diagonal from the upper left to the lower right
d. Along the diagonal from the lower left to the upper right
Click here to see answer by jim_thompson5910(28598)

Question 153044: In interval notation, what is the domain of f(x) = 2x^3 – 4x – 7?
@ f(x) is a cubic, so there are no restrictions on its domain. Answer (a) is in the wrong form for use of infinity as interval limits.
a. x ∈ [-∞, ∞]
b. x ∈ (-∞, ∞)
c. f(x) ∈ [-7, ∞)
d. The range cannot be determined
Click here to see answer by jim_thompson5910(28598)

Question 153042: How many real zeroes are there in f(x) = (x + 3)(x – 4)(x + 6)(x^2 + 7)?
@ This is fairly straightforward. Only the last factor results in imaginary solutions
a. 3
b. 5
c. 4
d. None of the above
Click here to see answer by jim_thompson5910(28598)

Question 153041: Solve for x: √(x-6) - √(x-6) = 15
@ A quick examination of the problem reveals that the left side becomes x – 6 upon multiplying the two (same) radicals together. The problem is straight forward thereafter.
a. 225
b. 21
c. 231
d. No solution
Click here to see answer by jim_thompson5910(28598)

Question 153048: A coat costs $300. The original price was $450. What is the percent of discount?
Click here to see answer by jim_thompson5910(28598)

Question 153032: The ratio of two polynomials is called a:
a. polynomial
b. fraction
c. rational expression
d. function
Click here to see answer by jim_thompson5910(28598)

Question 153050: A coat costs $300. The original price was $450. What is the percent of the discount?
Click here to see answer by stanbon(57407)

Question 153031: -1^-2 = @ The Order of Operations requires exponents to be evaluated first, and exponents only apply to whatever they are immediately attached to; subtraction (from 0) comes last. You have to also recognize that the negative exponent simply requires an inverse of the value.
a. 1
b.-1
c. 2
d. None of the above
Click here to see answer by stanbon(57407)

Question 153046: A plane flies against the wind from Center City to New City at a rate of 220mph. On the return trip, the plane flies with the wind at a rate of 250mph.The return trip took one hour less time. How far apart are the two cities? (remember rt=d)
Click here to see answer by Fombitz(13828)

Question 153049: The lenght of a rectangle is 5cm longer than three times its width. The perimeter is 74cm. Find the width and lenght.
Click here to see answer by Fombitz(13828)

Question 152999: I cannot figure out the restrictions, i am completely confused!!
6/x+3-5/x-2=-20/x^2+x-6
Click here to see answer by Fombitz(13828)

Question 153085: The lenght of a rectangle is 6 more feet than twice the width. If the perimeter is 24 ft., what are the dimensions?
Click here to see answer by Electrified_Levi(103)

Question 153117: 3x-4y=7
2x-y=3
then
3x-4y=7
-8x+4y=-12
adding
-5x=-5 then x=1 then 3-4y=7 then 4y=-4 then y=-1
Solution: x=1,y=-1

Click here to see answer by oscargut(891)

Question 153037: Completely factor the following: r(s) = 2s^2 + st – 2s + t
@ Normally, this would be solved by the “factor by grouping” method. However, this does not work here due to the last term being added, not subtracted. See a. r(s) = 2(s + t)(s – 1)
b. r(s) = (2s + t)(s – 1)
c. This cannot be factored; it’s prime
d. None of the above

Click here to see answer by checkley77(12569)

Question 153150: Sir/Madam,
Could you please help me in solving the following problem:
4x^2+10x+25=(4x^2+20x+25) - how do I get the answer as (4x^2+20x+25).
Regards and thank you.
Click here to see answer by stanbon(57407)

Question 153173: I can find a way to simplify this expression.
5x**2 + 2x + 1 = 0 ** menas Squared. I canot find two factos that allow me to
(5X+ )(X + ) solve this
Click here to see answer by oscargut(891)

Question 152867: What is the relationship between the degree of a polynomial and the maximum number of maxima and minima it can have?
a. The total number of maxima and minima is one less than the degree of the polynomial
b. The degree of the polynomial is one less than the number of maxima and minima
c. They are the same value
d. The number of maxima is always the same as the number of minima, and each if equal to one-half n
Click here to see answer by oscargut(891)

Question 153171: I can find a way to simplify this expression.
5x**2 + 2x + 1 = 0 ** menas Squared. I canot find two factos that allow me to
(5X+ )(X + ) solve this
Click here to see answer by stanbon(57407)

Question 152302: Calculate the temperature in Celsius if the temperature in Fahrenheit is 98.6°F. Also, calculate the temperature in Fahrenheit if the temperature in Celsius is -40°C.
Click here to see answer by jojo14344(1512)

Question 152789: 3+4z
Click here to see answer by mangopeeler07(462)

Question 153241: on page 58 of the textbook. the problem is a=180-(a-2/n) solve for n.
this is what i got so far up to point where i am stuck.
a=180(1-2/n) distribute
a=180-360/n +360/n
360/n=180-a -a
?
am i doing this right so far? Also im not sure of the next step. After i got to this point i didnt know what to do
Click here to see answer by jim_thompson5910(28598)

Question 153243: HELP!!!
Solve the equation algebraically by factoring or using quadratic formula;
x squared - 2x -3 = 0
very confused!!!!!
Click here to see answer by stanbon(57407)

Question 153243: HELP!!!
Solve the equation algebraically by factoring or using quadratic formula;
x squared - 2x -3 = 0
very confused!!!!!
Click here to see answer by Earlsdon(6287)

Question 153243: HELP!!!
Solve the equation algebraically by factoring or using quadratic formula;
x squared - 2x -3 = 0
very confused!!!!!
Click here to see answer by jim_thompson5910(28598)

Question 153270: equation from worksheet
a(x+c)=b(x-c) solve for x
1/2(x-3)+3/2-x)=5x
Click here to see answer by ankor@dixie-net.com(15661)

Question 153290: Please solve this for the pro-numeral in the following equation:
(3t-3)/8=t-6
Click here to see answer by orca(409)

Question 153453: 6h + 5(h-5)
Click here to see answer by psyberskull(3)

Question 153423: hi I need help I have gotten 4 or 5 different answers for this
Solve: (1/8)(7m – 7) = (2/5)(4m – 4) + 8
Click here to see answer by Edwin McCravy(8912)

Question 153501: I need help with solving this equation and how to get the answer.
The question is
2/7J - 1/7 = 3/14
Click here to see answer by Fombitz(13828)

Question 153539: Please help me solve the following equation:
30x^2 + 11x - 30 = 0
Click here to see answer by Fombitz(13828)

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