Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 947844: Which kind of function best models the set of data points:
-1,22 0,6 1,-10 2,-26 and 3,-42?
linear
quadratic
exponential
non e of the above
my answer is linear

Click here to see answer by MathLover1(20849) About Me 

Question 947248: Put the equation in the form ax2 + bx + c = 0. Enter exponents using the caret ( ^ ). For example, you would enter 4x2 as 4x^2.
(2x+1)^2-3x=5

Click here to see answer by Fombitz(32388) About Me 

Question 948053: use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation.
7x^2-3x+5=0

Click here to see answer by Alan3354(69443) About Me 
Question 948053: use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation.
7x^2-3x+5=0

Click here to see answer by lwsshak3(11628) About Me 

Question 948127: Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
Click here to see answer by MathLover1(20849) About Me 

Question 948181: I am having a hard time solving this. Can you help?
The profit function for selling x units of a certain product is given by
P%28x%29=-x%5E2%2B900x-160%2C000
A.)State the value of 'a', 'b,' and 'c' of the quadratic function P(x).
B.)Find the vertex of the graph of P(x).
C.)For what number of units is maximum profit achieved?
What is the maximum profit? Remember to include appropriate labels (units) in your answer.

Click here to see answer by josgarithmetic(39616) About Me 
Question 948181: I am having a hard time solving this. Can you help?
The profit function for selling x units of a certain product is given by
P%28x%29=-x%5E2%2B900x-160%2C000
A.)State the value of 'a', 'b,' and 'c' of the quadratic function P(x).
B.)Find the vertex of the graph of P(x).
C.)For what number of units is maximum profit achieved?
What is the maximum profit? Remember to include appropriate labels (units) in your answer.

Click here to see answer by MathTherapy(10551) About Me 

Question 948198: If the two roots of the quadratic equation x^2+x-3=0 are M and N. Form the quadratic equations whose roots are:
1)5M,5N
2)1/M, 1/N
3)M^2, N^2

Click here to see answer by MathLover1(20849) About Me 

Question 948036: Write the equation of a quadratic function that is concave down and has a vertex at the point (4, -2). The parabola is not stretched at all.
(Don't I need another point?? - He didn't give us one)

Click here to see answer by Fombitz(32388) About Me 
Question 948036: Write the equation of a quadratic function that is concave down and has a vertex at the point (4, -2). The parabola is not stretched at all.
(Don't I need another point?? - He didn't give us one)

Click here to see answer by MathTherapy(10551) About Me 

Question 948324: Need to know info:
Use the following equation to answer the question: f(x)=−0.08x^2+1.6x+3 and assume that an arrow is being shot and the arch represents the flight path. But, the height the arrow leaves the archer's bow is 3 yards above ground level and was aimed towards a target that is also 3 yards tall
Question:
1.) How long did it take the arrow to leave the bow and hit the target?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 948372: Which of the following are solutions to the equation below? Check all that apply.
2x^2+18x=20
A. -10
B. -2
C. 1
D. 20
E. -2
F. -1

Click here to see answer by amarjeeth123(569) About Me 

Question 948404: What would be the most logical first step to solve this quadratic equation?
(x - 3)2 = 25
A.Take the square root of both sides.
B.Add 3 to both sides.
C.Make a difference of squares so you can immediately factor.
D.Subtract 25 from both sides so you can immediately factor.

Click here to see answer by josgarithmetic(39616) About Me 
Question 948404: What would be the most logical first step to solve this quadratic equation?
(x - 3)2 = 25
A.Take the square root of both sides.
B.Add 3 to both sides.
C.Make a difference of squares so you can immediately factor.
D.Subtract 25 from both sides so you can immediately factor.

Click here to see answer by MathTherapy(10551) About Me 

Question 948568: Enter the quadratic equation in standard form. Use the caret (^) to enter exponents. For example, enter x2 as x^2.
x + 9 = 4(x - 1)2

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

Question 948625: A ball is thrown directly up in the air from a height of 5.5 feet with an initial velocity of 65.5 ft/s. Ignoring air resistance, how long until the ball hits the ground? Use the formula h=-16t^2+65.5t+5.5, where h is the height of the ball in feet and t is the time in seconds after it is thrown. Round your answer to the nearest hundredth.
Click here to see answer by Alan3354(69443) About Me 

Question 948642: Which of the following are solutions to the equation below? Check all that apply.
x2 + 3x + 3 = 7
A. 3
B. -3
C. 1
D. -5
E. 2
F. -4

Click here to see answer by rfer(16322) About Me 

Question 948698: please help me using algebraic test to check for symmetry with both x and origin. X to the power 4 minus X-squared plus 3.thanx
Click here to see answer by stanbon(75887) About Me 

Question 948740: So I have this equation y=x-16. I am suppose to plot this on a coordinate grid but the grid they provide for me goes up to only 10. I am wondering how to do this since the number is bigger than my coordinate grid.
Click here to see answer by josgarithmetic(39616) About Me 
Question 948740: So I have this equation y=x-16. I am suppose to plot this on a coordinate grid but the grid they provide for me goes up to only 10. I am wondering how to do this since the number is bigger than my coordinate grid.
Click here to see answer by MathTherapy(10551) About Me 

Question 948769: Which of the following are solutions to the equation below? Check all that apply.
(2x + 3)2 = 1
A. 1
B. -3
C. -1
D.
E. 3
F. -2

Click here to see answer by Fombitz(32388) About Me 

Question 948929: I need assistance with a problem 9x^2-18x=-3
and the break down of problem 2x^2+5x-8=0

Click here to see answer by Fombitz(32388) About Me 

Question 948909: Which of the following quadratic equations has a perfect square trinomial on the left side of the equals sign?
A. x^2+2x+4=0
B. x^2+6x-9=5
C. x^2+6x+9=3
D. x^2+4x=4

Click here to see answer by josgarithmetic(39616) About Me 

Question 948997: If you had the following what model is most appropriate?
y 3 1 0 -1
x 2 1 0, 0
quadratic
linear
exponential
line

Click here to see answer by stanbon(75887) About Me 

Question 948989: How many real number solutions are there to the equation 0=-3x^2+x-4?
Click here to see answer by MathLover1(20849) About Me 

Question 948991: Solve the system of equations.
y=2x^2-3
y=3x-1

Click here to see answer by Alan3354(69443) About Me 

Question 949024: how do I Write a polynomial function of least degree in standard form with the following zeros. Fill in the blanks with the coefficients, and be sure to include a minus sign - if the coefficient is negative.
zeros:x=1,1,2

Click here to see answer by josgarithmetic(39616) About Me 

Question 949113: the length of a rectangle is 13 centimeters less than six times its width. it's area is 15 square centimeters. find the dimensions of the rectangle.
Click here to see answer by macston(5194) About Me 

Question 949262: F(x) x (x)
Click here to see answer by Fombitz(32388) About Me 

Question 949274: the equation h(t)=-16t^2+864t models the path of a rocket shot into the air. after how many seconds does the rocket hit the ground?
Click here to see answer by Alan3354(69443) About Me 
Question 949274: the equation h(t)=-16t^2+864t models the path of a rocket shot into the air. after how many seconds does the rocket hit the ground?
Click here to see answer by stanbon(75887) About Me 

Question 949254: Consider the following function
f(x)=-4x^2-8x-3
a. Describe the transformation we would apply to the basic function g(x)=x^2, to obtain f.
b. Give the vertex and axis of symmetry.

My answer after graphing it.
a. The graph of a f(x)=-4x^2-8x-3 is a reflection in the x axis, a horizontal shift of 1 unit to the left, and a vertical shift of 1 unit upward of the graph of g(x)=x^2
The graph of a f(x)=-4x^2-8x-3 is a vertical stretch of the graph of g(x)=x^2 by a factor of 4.
b. The vertex is (-1,1) and the axis of symmetry is -1.
This doesn't look right and asking for assistance. Thanks.

Click here to see answer by josgarithmetic(39616) About Me 

Question 949222: Which of the following are solutions to the equation below? Check all that apply.
x2 - 6x + 9 = 11

A. x = -sqrt 11 + 3
B. x = 2 + sqrt 6
C. x = sqrt 2 + 6
D. x = sqrt 11 + 3
E. x = -sqrt 2 - 6
F. x = 2 - sqrt 6

Click here to see answer by MathLover1(20849) About Me 

Question 949371: 8x root + 64 + 48 x Squared + 96- = ?
Click here to see answer by Alan3354(69443) About Me 

Question 949449: how do i solve 8x^2-11x-11=0 using the graphical method
Click here to see answer by Theo(13342) About Me 
Question 949449: how do i solve 8x^2-11x-11=0 using the graphical method
Click here to see answer by MathLover1(20849) About Me 

Question 949465: Which of the following are solutions to the equation below? Check all that apply.
(5x - 2)2 = 10
A. x = -sqrt 10 + 2 /5
B. x = -sqrt 12/5
C. x = sqrt 10 + 2 /5
D. x = -sqrt 2 +2
E. x = sqrt 12/5
F. x = sqrt 2 + 2

Click here to see answer by MathLover1(20849) About Me 
Question 949465: Which of the following are solutions to the equation below? Check all that apply.
(5x - 2)2 = 10
A. x = -sqrt 10 + 2 /5
B. x = -sqrt 12/5
C. x = sqrt 10 + 2 /5
D. x = -sqrt 2 +2
E. x = sqrt 12/5
F. x = sqrt 2 + 2

Click here to see answer by josgarithmetic(39616) About Me 
Question 949465: Which of the following are solutions to the equation below? Check all that apply.
(5x - 2)2 = 10
A. x = -sqrt 10 + 2 /5
B. x = -sqrt 12/5
C. x = sqrt 10 + 2 /5
D. x = -sqrt 2 +2
E. x = sqrt 12/5
F. x = sqrt 2 + 2

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

Question 949477: Which of the following are solutions to the equation below? Check all that apply.
(x - 5)2 = 7
A. X = -sqrt 12
B. X = sqrt 7 - 5
C. X = -sqrt 7 + 5
D. X = -sqrt 7 - 5
E. X = sqrt 7 + 5
F. X = sqrt 12

Click here to see answer by josgarithmetic(39616) About Me 

Question 949483: What number must you add to complete the square?
x2 + 2x = -1

Click here to see answer by josgarithmetic(39616) About Me 

Question 949487: The length of a rectangle is 11ft more then twice the width, and the area of the rectangle is 63 ft^2. Find the dimensions of the rectangle.
Click here to see answer by macston(5194) About Me 

Question 949532: What number must you add to complete the square?
x2 + 16x = -7

Click here to see answer by Alan3354(69443) About Me 

Question 949525: Write a real world problem that can be represented by the equation 14x equals 21
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 949747: If we know a quadratic function f has a zero at x = −1
and vertex at (1, 4), do we have enough information to
find a formula for this function? If your answer is yes,
find it; if not, give your reasons.

Click here to see answer by lwsshak3(11628) 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