Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1068268: a^3+B^3 take them ad Alpha and Beta.
If aB=c/a and a+B=-b/a.
First simplify them to the aB and a+B format
and then substitute the value.
My method was,
(a+B)(a^2+B^2-aB)
How should I simplify a^2+B^2?
Click here to see answer by ikleyn(52778) About Me 
Question 1068222: I'm not sure where to begin with this problem:
A rectangular park has a width of (y+2) feet and the area is (4ysquared+7y-2) ft. Write an expression in terms of y to model the original length of the park. After the park is remodeled the new area will be (4ysquared+11y+6)ft. By how many feet did the length of the park change?
Click here to see answer by Theo(13342) About Me 
Question 1068337: Write a quadratic function f(x) for the area of a rectangle with a length of x+5 and a width of 3x-7.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1068397: Please help me with this question:
A farm has a square fenced-in area with side length X where the farm gives children pony rides. Adjacent to one entire side of the square, there is a roped-off rectangular area where the children line up. This rectangle is 4 yards wide and X yards long.
a. The total area of the square and rectangular areas together is 2,700 square yards. Write an equation that represents this situation.
b. Use your equation from part a to find the dimensions of the roped-off rectangular area.
Thank you in advance!
Click here to see answer by josgarithmetic(39617) About Me 
Question 1068413: Please help me with this question.
A restaurant decides to add homemade desserts to their menu. When they sell the desserts for $7 each, they sell 80 desserts in a week. When they raise the price to $9 each, they sell 40 desserts in a week.
a. Write a linear function f(x) that relates x desserts sold to the price f(x) of the desserts.
b. The desserts cost the restaurant $2 each to make. Write a profit function P(x) that gives the total profit for selling x desserts. (Hint: total profit= profit per item times number of items sold)
c. Use your profit function to find the number of desserts that maximizes profit, and then find the price that maximizes profit.
Thank you in advance
Click here to see answer by josgarithmetic(39617) About Me 
Question 1068410: Please help me with this question...
Marge has a flyer that is 10 inches wide and 12 inches long. To increase the size of the flyer, she will increase the length and width of the flyer by the same percent.
a. Write an equation that gives the new area A of the flyer in terms of x, where x is the percent increase in the length of the original flyer written as a decimal.
b. The area of the new flyer 270 square inches. Use your equation from part a to find the percent increase of the length of the flyer.
c. Explain an alternate way of finding the percent increase of the length of the flyer, without using the equation from part a.
Thank you in advance!
Click here to see answer by addingup(3677) About Me 
Question 1068451: Which quadrant is the point (-5, -2) found?
Click here to see answer by josmiceli(19441) About Me 
Question 1068399: Please help me with this questiob,
Jo is testing a computer game. A character runs across the screen at a rate r given by the equation r=30t, where t is the number of seconds after the game begins. The rate r is in pixels per second.
a. Write an equation to represent the distance d the character travels, in pixels, after t seconds.
b. A computer monitor measures 12 inches across, and has a resolutions of 85 pixels per inch. About how long does it take the character to run across the screen? Round to the nearest tenth of a second.
Thank you in advance...
Click here to see answer by Theo(13342) About Me 
Question 1068462: If the sum of the reciprocals of the roots of the equation 3x^2+7x+k is-7/3,what is k? Thank you.
Click here to see answer by Fombitz(32388) About Me 
Question 1068499: a. Write an equation representing the fact that the sum of the squares of two consecutive integers is 181.
b. Solve the equation from part (a) to find the two integers.
Click here to see answer by Alan3354(69443) About Me 
Question 1068532: Could you please help me. One positive number is three less than another positive number. If the square of the sum of the two number is 49, find both numbers.
Click here to see answer by ikleyn(52778) About Me 
Question 1068535: Could you please help me. One positive number is eight more than another. The sum of their squares is 104. Find both numbers.
Click here to see answer by Alan3354(69443) About Me 
Question 1068535: Could you please help me. One positive number is eight more than another. The sum of their squares is 104. Find both numbers.
Click here to see answer by Fombitz(32388) About Me 
Question 1068551: Solve quadratic equation by factoring.
2x˛+3x-72=x˛+2x
Click here to see answer by rothauserc(4718) About Me 
Question 1068551: Solve quadratic equation by factoring.
2x˛+3x-72=x˛+2x
Click here to see answer by KMST(5328) About Me 
Question 1068569: Find the value of the discriminant and determine the number of real-number solutions for this quadratic equation. y^2+3y-4=0
[0,one] [25,two] [30,one]
Can someone tell me how i find out which answer to pick and why
Click here to see answer by Alan3354(69443) About Me 
Question 1068569: Find the value of the discriminant and determine the number of real-number solutions for this quadratic equation. y^2+3y-4=0
[0,one] [25,two] [30,one]
Can someone tell me how i find out which answer to pick and why
Click here to see answer by ikleyn(52778) About Me 
Question 1068571: A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km. find her speeds for both parts of the journey. pls help.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1068571: A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km. find her speeds for both parts of the journey. pls help.
Click here to see answer by stanbon(75887) About Me 
Question 1068571: A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km. find her speeds for both parts of the journey. pls help.
Click here to see answer by MathTherapy(10551) About Me 
Question 1068570: please help w/ thorough steps!
The area of a rectangular pool is (x^2 + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1068679: Which equation could generate the curve in the graph below?
mc018-1.jpg
y = –2x2 + 3x – 5
y = –2x2 – 4x – 2
y = –2x2 – 16x– 28
y = –2x2 +16x –28
Click here to see answer by Fombitz(32388) About Me 
Question 1068679: Which equation could generate the curve in the graph below?
mc018-1.jpg
y = –2x2 + 3x – 5
y = –2x2 – 4x – 2
y = –2x2 – 16x– 28
y = –2x2 +16x –28
Click here to see answer by ikleyn(52778) About Me 
Question 1068750: Without solving the given equation, find an equation whose roots are the squares of the roots of x^2 + 4x + 2 = 0.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1068750: Without solving the given equation, find an equation whose roots are the squares of the roots of x^2 + 4x + 2 = 0.
Click here to see answer by ikleyn(52778) About Me 
Question 1068812: The hire purchase price of a refridgerator is R6500. the deposit of R500 is made and the remainder is paid in equal monthly payments of R250. what is the interest rate ( simple interest ) charged on this transaction?
Click here to see answer by KMST(5328) About Me 
Question 1068827: a child care center has 200 feet of fencing to enclose two adjacent rectangular safe play areas (with one fencing in the adjacent side)
a)write total area of the play areas as a function of x
b)write the area function in standard form to find algebraically the dimensions that will produce the maximum enclosed area.
please help with my question! thank you!
Click here to see answer by josmiceli(19441) About Me 
Question 1068842: How many and what type of solutions does the equation have?
5y2=18y−4

two nonreal solutions
two rational solutions
two irrational solutions
one rational solution
Click here to see answer by Alan3354(69443) About Me 
Question 1068988: The area of a triangle can be found by using the formula 𝐴 = 1/2 𝑏ℎ. The area of the triangle can be represented by the expression −17.5𝑥2 − 138.5𝑥 − 27. The triangle’s base length is greater than its height. If the area of the triangle is 231 square inches, find the value of x as it relates to this rectangle, the numerical length of the base, and the numerical length of the height.


Click here to see answer by rothauserc(4718) About Me 
Question 1068988: The area of a triangle can be found by using the formula 𝐴 = 1/2 𝑏ℎ. The area of the triangle can be represented by the expression −17.5𝑥2 − 138.5𝑥 − 27. The triangle’s base length is greater than its height. If the area of the triangle is 231 square inches, find the value of x as it relates to this rectangle, the numerical length of the base, and the numerical length of the height.


Click here to see answer by ikleyn(52778) About Me 
Question 1068987: One of the roots to the quadratic equation 30𝑥2 − 149 = 𝑘 is 11/2. Find the value of k and the other root to this equation.

Click here to see answer by ikleyn(52778) About Me 
Question 1068984: In the equation x=%28%281-y%29%2F%281%2By%29%29, I know empirically that x = y when either of them has the value sqrt%28+2+%29+-1, but I don't know how to prove it algebraically.
ANY help greatly appreciated!
Click here to see answer by ikleyn(52778) About Me 
Question 1068985: Solve for z: 10𝑧2 + 18𝑧 − 7 = 16𝑧2 + 48𝑧 − 12. Round your solutions to the nearest thousandth.


Click here to see answer by ikleyn(52778) About Me 
Question 1068983: find the value of the discriminant and determine the number of real solutions for the quadratic equation 30𝑦2 − 60𝑦 + 300 = 5𝑦2 + 120𝑦 − 24.


Click here to see answer by ikleyn(52778) About Me 
Question 1069039: Write a quadratic function in vertex form whose maximum value is 8 (I.e. the range needs to be f(x)< or = 8)
Click here to see answer by josgarithmetic(39617) About Me 
Question 1068986: The area of a rectangle can be found using the formula 𝐴 = 𝑙𝑤. The area of the rectangle is 364 square centimeters and can also be represented by the expression 100𝑔2 + 225𝑔 − 486. If the width is greater than the length, find the value of g as it relates to this rectangle, the numerical value of the length, and the numerical value of the width.


Click here to see answer by josgarithmetic(39617) About Me 
Question 1068986: The area of a rectangle can be found using the formula 𝐴 = 𝑙𝑤. The area of the rectangle is 364 square centimeters and can also be represented by the expression 100𝑔2 + 225𝑔 − 486. If the width is greater than the length, find the value of g as it relates to this rectangle, the numerical value of the length, and the numerical value of the width.


Click here to see answer by MathTherapy(10551) About Me 
Question 1069121: solve for x: 80x^2-96x+27=0
Click here to see answer by Boreal(15235) About Me 
Question 1069135: It takes Kenny 1 hour longer than Dennis to shuck a sack of oysters. IF together they shuck a sack of oysters in 45 minutes, then how long would it take each one working alone?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1069209: Solve the following quadratic equation using extraction of roots (no decimal approximations:
(x-3)^2 -3=0
Click here to see answer by ikleyn(52778) About Me 
Question 1069212: Write the quadratic function:
f(x)= x^2-8x × 12 in the form of:
f(x) = a(x-h)^2 + k
Click here to see answer by ikleyn(52778) About Me 
Question 1069210: Solve the quadratic equation using the formula
x^2-4x + 3 = 0
3x^2 + 5x-8 = 0
2x^2-19x + 10 = 0
Click here to see answer by addingup(3677) About Me 
Question 1069323: Solve the following equation using quadratic formula:
2x^2-4x=7
Click here to see answer by Fombitz(32388) About Me 
Question 1069410: ax%5E3%2Bbx%5E2%2Bcx%2Bd=0
Click here to see answer by ikleyn(52778) About Me 
Question 1069403: The function Q (t) = 0.003t^2 – 0.625t + 25 represents the amount of energy in a battery after t minutes of use.
(a) State the amount of energy held by the battery immediately before it was used.
(c) Given that Q (10) = 19.05, find the average amount of energy produced per minute for the interval 10 ≤ t ≤ 20.
(d) Calculate the number of minutes it takes for the energy to reach zero.
Click here to see answer by josmiceli(19441) About Me 
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