Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 876172: If the x intercepts of a parabola are 5 and -3, what is the axis of symmetry?
Click here to see answer by reviewermath(1029) About Me 

Question 876347: The derivative of y = ax2 + bx + c is
a. y' = 2ax2 + 2bx + c
b. y' = 2ax + b

ax
c. y' = —— + bx
2

d. none of the above







Click here to see answer by ewatrrr(24785) About Me 

Question 876370: The area of a rectangular garden is 1184 ft2 . The width is 5 ft more than the length. Find the dimensions of the garden.
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Question 876401: Erin has an older sister and a younger sister. Her older sister is one year more than twice Erin's younger sister is three years younger than she is. The sum of their ages is 26. Find Erin's age
Click here to see answer by ewatrrr(24785) About Me 

Question 876403: The equation y= -16x+ 580 represents the population of mongoose in a particular area, where y is the mongoose population and x is the month. After 6 months, a population survey showed that there are 448 mongooses. What is the residual when compared to the model
Click here to see answer by jim_thompson5910(35256) About Me 

Question 876402: What is the perimeter of a triangle with coordinates (1,4), (5,2), and (2,-3). Round to the nearest tenth
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Question 876447: I have to find where the parabola crosses the x-axis for y=x(3-x). I know the answer is x=0 and x=3 but I don't understand why it is not x= -3. Could somebody please explain this to me?
Click here to see answer by Alan3354(69443) About Me 

Question 876589: how to solve this; (2a-1)x2 - (a-1)(a-1) they say multiply and simplify if necessary
Click here to see answer by Fombitz(32388) About Me 

Question 876620: Hello, (THIS IS VERY URGENT)
I'm not sure how to figure out this problem. It has to do with a quadratic equation and parabola.
Question:
1. A home satellite dish is 56cm across and 7cm deep. The cross-section is parabolic in shape.
a. What quadratic function describes the shape of the cross-section of this satellite dish?
b.To the nearest tenth of a centimeter, how deep is the dish 16cm from the edge?
I'm pretty sure there is some kind of formula you'd use to figure this out but I don't know what it is.
Thanks In Advance

Click here to see answer by ewatrrr(24785) About Me 

Question 876539: Find the average rate of change of the function over the interval (-3,0)
f(x)=(x^2)-2x

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Question 876711: A rectangle is 4 feet longer than it is wide, and its area is 20 square feet. Find its dimension to the nearest tenth of a foot.
Click here to see answer by LinnW(1048) About Me 

Question 876709: I need help with a quadratic word problem.
Picture framing: the matting around the picture has a uniform width. How wide is the matting if its area equals the area of the picture? round to the nearest hundredth of an inch. The picture is 5inches by 4 inches, thanks

Click here to see answer by edjones(8007) About Me 

Question 876792: x^2+ 35 =12x table of points on the parabola containing at least 10 values

How would I solve that?
Also, how would I find the solutions of the quadratic equation to this problem by completing the square?

Click here to see answer by josgarithmetic(39613) About Me 

Question 876976: Q=ad^2-cd Solve for d
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Question 876976: Q=ad^2-cd Solve for d
Click here to see answer by MathTherapy(10549) About Me 

Question 877051:
Click here to see answer by alexlove054@gmail.com(10) About Me 

Question 877077: 12(x^2+1/x^2)-56(x+1/x)+89=0
Click here to see answer by Edwin McCravy(20054) About Me 

Question 877075: 9m^2-3m-18=0
please how to solve this equation

Click here to see answer by KMST(5328) About Me 

Question 877114: como se resuelve esta ecuacion 3x-27=0
Click here to see answer by josgarithmetic(39613) About Me 

Question 877076: 30m^2-77m-10=0

Click here to see answer by jim_thompson5910(35256) About Me 

Question 877144: 1/x+1/(x+6)=1/5
Click here to see answer by Alan3354(69443) About Me 

Question 877161: a fishing enthusiast buys 50 maggots and 20 worms for $1.10 and her mother buys 30 maggots and 40 worms for $1.50.Find the cost of one maggot and one worm
Click here to see answer by nerdybill(7384) About Me 

Question 877310: Select the approximate values of x that are solutions to f(x) = 0, where
f(x) = -9^2 + 2x + 8.
help please!

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Question 877312: y=-2(x+3)^2+4

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Question 877332: A theater has 550 seats. The theater will sell tickets for all seats if the tickets cost $30 each. However, for each $4 increase in ticket price, 20 fewer tickets are sold. What ticket price will generate the most revenue and what is the maximum revenue?
Click here to see answer by lwsshak3(11628) About Me 

Question 877417: 30(x^2+1/x^2)-77(x-1/x)-12=0
Click here to see answer by Edwin McCravy(20054) About Me 

Question 877511: Use the discriminate to determine the number of and type of solutions.
-3m^2 - 7m = 6

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Question 877620: How do you make a parabola
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Question 877682: x(x-5)=6

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Question 877677: 2y^2+5y+1=0

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Question 877711: Select the x-coordinate of the vertex of the parabola defined by the function
f(x) = -3x^2 + 5x + 5.
1. - 3/5
2. 5
3. 5/6
4. -5/3
My answer is 5/6. Am I correct?

Click here to see answer by Theo(13342) About Me 

Question 877710: Determine the equation of g(x) that results from translating the function f(x) = x^2 + 3 upward 6 units.

1. g(x) = (x + 9)^2
2. g(x) = (x + 6)^2 + 3
3. g(x) = x^2 - 3
4. g(x) = x^2 + 9

Click here to see answer by Theo(13342) About Me 

Question 877681: 12(x^2+1/x^2)-56(x+1/x)+89=0

Click here to see answer by Edwin McCravy(20054) About Me 

Question 877860: Solve the following quadratic equation using factoring:
28x^2 + 30x + 32 = 0

Thank you for your help!

Click here to see answer by Alan3354(69443) About Me 
Question 877860: Solve the following quadratic equation using factoring:
28x^2 + 30x + 32 = 0

Thank you for your help!

Click here to see answer by richwmiller(17219) About Me 

Question 877947: 2x^2+3x-9=0 Complete the Square.
I know how to do it all the way up till when it should look like this: x^2+ (3x/2)+(9/16)=(81/4)+(9/16). It's adding the fractions to the right that doesn't make sense. I get 90/64, but mymathlab tells me i should have 81/16. **ugh* my mathlab makes everything more complicated by making me square root and square and cube fractions, and not put it in decimal form, so some help would be much obliged.

Click here to see answer by richard1234(7193) About Me 

Question 877951: Why can't(-9+ sqrt(21))/6 be simplified further if all 3 numbers are multiples of three? Shouldn't you get "-3+7, which gives you 4 from dividing the numerator by 6? or at least 9+ sqrt(7)/2? By the way the question is (3x+3)(x+2)=1 solve by quadratic formula. The help would be much obliged.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 877951: Why can't(-9+ sqrt(21))/6 be simplified further if all 3 numbers are multiples of three? Shouldn't you get "-3+7, which gives you 4 from dividing the numerator by 6? or at least 9+ sqrt(7)/2? By the way the question is (3x+3)(x+2)=1 solve by quadratic formula. The help would be much obliged.
Click here to see answer by josgarithmetic(39613) About Me 

Question 878045: Hi, I need help with this word problem if someone could help me i would greatly appreciate it.
A fireworks shell is shot straight up with an initial velocity of 120 feet per second. Its height s in feet after t seconds is approximated by the equations s=120t-16t^2. if the shell is designed to explode when it reaches its maximum height, how long after being fired, and at what height, will the fireworks appear in the sky?
thank you for your time.

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Question 878084: solve.
x/11=13/5

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Question 878202: I need help.. I have to solve this equation using quadratic formula
0.3y^2+0.15y-11.7=0

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Question 878202: I need help.. I have to solve this equation using quadratic formula
0.3y^2+0.15y-11.7=0

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Question 878201: Can you please help me solve this equation using quadratic formula?
0.25x^2-0.25x-10.5=0

Click here to see answer by KMST(5328) About Me 

Question 878178: How do you translate y=-2x^2+16x-27 to vertex form if the vertex is (4,5)? And how would you translate y=4x^2+8x+1 to vertex form if the vertex is (-1,-3)?
Click here to see answer by josgarithmetic(39613) About Me 

Question 878264: Dear Math Tutor,
Please help me express x^2-8x+12 in completed square form .
x^2-8x+4-4+12
I got (x-4)^2+8 but my textbook says (x-4)^2-4?
where did i go wrong?
with gratitude,
Nat

Click here to see answer by KMST(5328) 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, 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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