Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 732315: what is the constant term that needs to be added to the given expression to make it a perfect square trinomial x^2-6x
Click here to see answer by lynnlo(4176)

Question 732314: If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is divided by 8?
Click here to see answer by lynnlo(4176)

Question 732670: Solve the equation by completing the square t^2+t-28=0
Click here to see answer by solver91311(24713)

Question 732670: Solve the equation by completing the square t^2+t-28=0
Click here to see answer by MathLover1(20849)

Question 732612: A rectangular piece of metal is 10 in. longer than it is wide. Squares with sides 2 in. long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in^3, what were the original dimensions of the piece of metal?
Click here to see answer by KMST(5328)

Question 732876: factorise 100n^2 + 400n - 32,000 = 0
Click here to see answer by Edwin McCravy(20054)

Question 733064: A framed painting has overall dimensions of 32 inches by 29 inches. The area of the painting itself is 550 square inches. Find the width of the frame. (Include units with your numerical answer.)
The width of the frame is __________.
*A picture came with it but I am unable to draw it so I will do my best to describe it to you.
It's just two rectangles one large one with 32 inches labeled at the top and 29 inches labeled at the side (The frame) and another smaller rectangle inside of that rectangle with no labels on it.(The Painting)
I will appreciate any help you can give me.
Thank you.
Click here to see answer by lynnlo(4176)

Question 733174: A 6-ounce bag of rice noodles makes 5 servings. At that rate, find how many ounces of noodles are needed for 12 servings, to the nearest ounce.
Click here to see answer by rfer(16322)

Question 733129: We are learning this in class and my teacher goes way to fast. Could you please help me with the following question?
Solve each equation symbolically.
A. (X+3)^2=7
B. (X-2)^2-8=13
I honestly don't understand what "solve symbolically". If you would help me I would be extremely thankful.
Dakota
Click here to see answer by mananth(16946)

Question 733212: how do i solve 3x^2-5x-8=0 using the quadratic formula
Click here to see answer by mananth(16946)

Question 733288: An object is launched straight up into the air. Its height in feet, or h, after t seconds is given by the equation h = �16t2 + 48t + 10.
1. Determine how much time (in seconds) has elapsed from the time of launch to the time the object hits the ground.
a. Show all work.
2. Determine how much time has elapsed when the object is 30 feet above the ground.
a. Show all work.
3. Determine the maximum height reached by the projectile.
a. Show all work.
4. Determine the projectile�s distance from the ground at the instant that the projectile is fired.
a. Show all work.

Click here to see answer by lynnlo(4176)

Question 733357: Factor each polynomial.
p^2+9p+20
I tried to factor it but I didn't know what to do after that.
Click here to see answer by Alan3354(69443)

Question 733357: Factor each polynomial.
p^2+9p+20
I tried to factor it but I didn't know what to do after that.
Click here to see answer by Simnepi(216)

Question 733410: 16. Solve the equation using the Zero Product Property.
(2x � 4)(2x � 1) = 0 (1 point)

Click here to see answer by checkley79(3341)

Question 733452: Use the quadratic formula to find the roots of f(x)= 6x^2-6x-1
Leave your answers in the form and where p, q and r are integers.
Click here to see answer by solver91311(24713)

Question 733481: What aspects of the graph would change if the ball had been in the air for a longer amount of time ?
Click here to see answer by solver91311(24713)

Question 733480: What are the two roots of an quadratic equation in terms of football
Click here to see answer by lynnlo(4176)

Question 733505: find the vertex of y= -x^2+2
i don't know how to type it here but its suppose to be y=-x2+2
Click here to see answer by lynnlo(4176)

Question 733528: y= -x^2 + 9x - 2
which the first part is suppose to be a -x2
can someone help me with this.
Click here to see answer by MathLover1(20849)

Question 733608: I need help solving this Quadratic equation: x+11√ ̅x +10.
I know how to solve a simple trinomial but the radical sgn confuses me.
Click here to see answer by nerdybill(7384)

Question 733210: a baseball is hit straight upward with the initial velocity of 80 ft/sec from a height of 4 ft. The height of the baseball above the ground t sec after it is hit is modeled by the function h(t)=-16t^2 + 80t + 4, for what values of t is the baseball 40 ft above the ground?
Click here to see answer by ankor@dixie-net.com(22740)

Question 733666: 1)u�u>=0 and u�u=0 if and only if u=0 prove theorem?
2)Show that there are no vectors u and v such that ||u||=1 ||v||=2 and u�v=3?
3)prove that u is orthogonal to v-PROJu(v) for all vectors u and v in Rn,where u(no=)0 ?
4)find the point R on L that is closest to Q in exercises 27.
(27) Q=(2,2),L with equation [X y]=[-1 2]+t[1 -1] ?
5)prove the Following properties of the cross product
a)u�(v�w)=(U�V)�w
B) U�(v�w)=(u�w)v-(u�v)w
C)||U�V||2=||U||2||V||2-(U�V)2
6)Let u and v be vectors in R3 and let @ be the angle between u and v.
A) prove that ||U�V||=||u|| ||v||sin@
B)prove that the area A of the triangle determined by u and v is givien by A=1/2||u�v||
C)use the result in parr (b) to compute the area of the traingle With vertices A=(1,2,1),B=(2,1,0) and C=(5,-1,3) ?
7)find the check digit d in the given International standard book number(isbn-10)
(0,3,8,7,9,7,9,9,3,d)
8)a) prove that if a transposition error is made in the fourth and fifth entries of the ISBN-10(0,6,7,9,7,6,2,9,0,6) the error will be detected.
B) prove that if a transposition error is made in any two adjacent entries of the ISBN-10in part(a) the error will be detected
C) prove, in general, that the ISBN-10 code will Always detect a transposition erroe involving two adjacent entries. ??
Please help me
Click here to see answer by lynnlo(4176)

Question 733713: 1)u�u>=0 and u�u=0 if and only if u=0 prove theorem?
Click here to see answer by lynnlo(4176)

Question 733712: 1)u�u>=0 and u�u=0 if and only if u=0 prove theorem?
Click here to see answer by lynnlo(4176)

Question 733732: 5x^2-30x+4y^2+24y+61=0 simple form

Click here to see answer by MathLover1(20849)

Question 733703: Please help me ㅠㅠ help me
1)u�u>=0 and u�u=0 if and only if u=0 prove theorem?
2)Show that there are no vectors u and v such that ||u||=1 ||v||=2 and u�v=3?
3)prove that u is orthogonal to v-PROJu(v) for all vectors u and v in Rn,where u(no=)0 ?
4)find the point R on L that is closest to Q in exercises 27.
(27) Q=(2,2),L with equation [X y]=[-1 2]+t[1 -1] ?
5)prove the Following properties of the cross product
a)u�(v�w)=(U�V)�w
B) U�(v�w)=(u�w)v-(u�v)w
C)||U�V||2=||U||2||V||2-(U�V)2
6)Let u and v be vectors in R3 and let @ be the angle between u and v.
A) prove that ||U�V||=||u|| ||v||sin@
B)prove that the area A of the triangle determined by u and v is givien by A=1/2||u�v||
C)use the result in parr (b) to compute the area of the traingle With vertices A=(1,2,1),B=(2,1,0) and C=(5,-1,3) ?
7)find the check digit d in the given International standard book number(isbn-10)
(0,3,8,7,9,7,9,9,3,d)
8)a) prove that if a transposition error is made in the fourth and fifth entries of the ISBN-10(0,6,7,9,7,6,2,9,0,6) the error will be detected.
B) prove that if a transposition error is made in any two adjacent entries of the ISBN-10in part(a) the error will be detected
C) prove, in general, that the ISBN-10 code will Always detect a transposition erroe involving two adjacent entries. ??
Please help me
Click here to see answer by lynnlo(4176)

Question 733696: 1)u�u>=0 and u�u=0 if and only if u=0 prove theorem?
2)Show that there are no vectors u and v such that ||u||=1 ||v||=2 and u�v=3?
3)prove that u is orthogonal to v-PROJu(v) for all vectors u and v in Rn,where u(no=)0 ?
4)find the point R on L that is closest to Q in exercises 27.
(27) Q=(2,2),L with equation [X y]=[-1 2]+t[1 -1] ?
5)prove the Following properties of the cross product
a)u�(v�w)=(U�V)�w
B) U�(v�w)=(u�w)v-(u�v)w
C)||U�V||2=||U||2||V||2-(U�V)2
6)Let u and v be vectors in R3 and let @ be the angle between u and v.
A) prove that ||U�V||=||u|| ||v||sin@
B)prove that the area A of the triangle determined by u and v is givien by A=1/2||u�v||
C)use the result in parr (b) to compute the area of the traingle With vertices A=(1,2,1),B=(2,1,0) and C=(5,-1,3) ?
7)find the check digit d in the given International standard book number(isbn-10)
(0,3,8,7,9,7,9,9,3,d)
8)a) prove that if a transposition error is made in the fourth and fifth entries of the ISBN-10(0,6,7,9,7,6,2,9,0,6) the error will be detected.
B) prove that if a transposition error is made in any two adjacent entries of the ISBN-10in part(a) the error will be detected
C) prove, in general, that the ISBN-10 code will Always detect a transposition erroe involving two adjacent entries. ??
Please help me ㅠㅠ
Click here to see answer by lynnlo(4176)

Question 733807: Im having problem with my Factoring (x^2+bc+c)<-example
I got it down pat untill i come to something like r^2+3r-10 (r^2 is R squared)
what always gets me is negatives i half to solve it in a way such as (r+3)(r+-6)We are factoring Trinomials and i just cant find awnsers to Problems with a negative
Hope you can help
Click here to see answer by stanbon(75887)

Question 734065: Respected Sir,
Please help me to solve: 3n^2-11n-4=0
Thank you
Click here to see answer by mananth(16946)

Question 734059: model the problem with a quadratic equation. The square tarp you are raking leaves onto has an area of 289 ft2. What is the side length of the tarp?
Click here to see answer by ankor@dixie-net.com(22740)

Question 734175: if 4(3x+2)-(x+5)=-3 then x=? with explanation and solution
Click here to see answer by rfer(16322)

Question 734179: I need help solving this problem.
an arrow is shot into the sky with initial velocity 100ft/sec from a height of 180 feet above the ground. The function h(t) = -16t^2 +100t +180 models the arrow's height (h)(t), in feet) as a function of time (t, in seconds).
1. After how many seconds does the arrow reach its highest point? Round to 4 decimals.
I graphed this equation and tried to find the vertex and came up with 3.2447 seconds, which isn't right.
That set me up to fail the second part which is to figure out how high the arrow is at its highest point.
I substituted 3.2447 into the equation to get 225.484 feet and that was wrong too.
So then I couldn't get the practical range of the function either.
I was able to solve how many seconds it took for the arrow to hit the ground (7.709) and the practical domain, but I can't solve the range.
Click here to see answer by nerdybill(7384)

Question 734219: what is 2a^2-30+108=0 rounded to the nearest hundreth
Click here to see answer by stanbon(75887)

Question 734229: factor the polynomial completely
4 - 81ysquared
Click here to see answer by MathLover1(20849)

Question 734215: how to simplify 14x^2+5-[7(x^2-2)+4]
Click here to see answer by checkley79(3341)

Question 734268:
Write the equation of the quadratic function with roots -10 and -8 and a vertex at (-9, -3).

Click here to see answer by lynnlo(4176)

Question 734174: approximate 15 to three decimal places. with explanation and solution
Click here to see answer by Alan3354(69443)

Question 734168: 4/9w^2+1=5/3w
Click here to see answer by lynnlo(4176)

Question 734058: Find the side length of a square with an area of 196 ft2. Use a quadratic equation

Click here to see answer by KMST(5328)

Question 734453: After much difficulty you determine that the solutions to: x^2-x-4=0 are the numbers a and b. The sum of a+b equals?
Solve for the sum of a+b
Thank you for your help, it is very much appreciated.
Click here to see answer by Alan3354(69443)

Question 734481: 2x^2+4x=0
Click here to see answer by lynnlo(4176)

Question 734478: The height of fireworks during a Fourth of July show can be modeled by quadratic equations. The function h(t) = -16t^2 + vt gives the height of the object launched from the ground. h(t) = height in feet, t = time that has passed in seconds, v = initial velocity
Solve for t when h(t) = 0. Explain your results and what they mean.
Click here to see answer by lynnlo(4176)

Question 734528: solve n(n+2) = 360 I am not sure how to do this one

Click here to see answer by rothauserc(4718)

Question 734477: The height of fireworks during a Fourth of July show can be modeled by quadratic equations. The function h(t) = -16t^2 + vt gives the height of the object launched from the ground. h(t) = height in feet, t = time that has passed in seconds, v = initial velocity
Assuming that the rocket has already been shot into the sky, what has happened when h(t) = 0?
Click here to see answer by lynnlo(4176)

Question 734575: need help with quadratic equation
such as
x^2 + 12x -64 = 0
x2 - 2x - 13 = 0
Click here to see answer by stanbon(75887)

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