Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 188393: -3-4(t-5)=2(t+3)+11=
Click here to see answer by checkley77(12569)

Question 188496: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. So my question is for the equation f(x) = log x means that logx we assue that is log10^x. Thanks in advance!
Click here to see answer by solver91311(16877)

Question 188501: Sam shot his model rocket up into the air and counted the seconds it stayed in flight. He noticed the rocket seemed to be at the same height as the top of a television antenna at 3 and 6 seconds.(gravity of earth is 32ft/s)
a)find initial speed of rocket
b)height of television antenna.
Click here to see answer by solver91311(16877)

Question 188533: 3.6+m=2.5
Click here to see answer by Mathtut(3670)

Question 188519: can you help me solve this :

how do you graphically solve the quadratic equation
Click here to see answer by Alan3354(30993)

Question 188574: find the solution of x^2+4x+4=0. if the solution is a fraction enter it in simplest form.
x=
or
x=
Click here to see answer by jojo14344(1512)

Question 188615: I am trying to teach my students quadriatic equations but I need to understand them myself. We use the Plato program but I keep coming up with the wrong answer. Can you give me the steps.... in laymans terms. I am NOT a math brained person. Two of the problems that have given us trouble are:
1.) 24 + 11y + y2 = 0
and
2.) 5y - 14 = -y2

Thanks

Click here to see answer by stanbon(57328)

Question 188716: Length of a Line Segment
20. The point A(x, 1) is 5 units from the point (2, 6).
a) Find a possible value for x.
b) Is this value the only solution? Explain.
Thank you very much!!! pleaseeeeee
Click here to see answer by jim_thompson5910(28593)

Question 188710: Length of a Line Segment
13. A line segment has endpoints K(-2, 7) and L(4, -2).
a) Find the coordinates of the midpoint of this line segment.
b) Use the length formula to verify your answer to part a).
Thank you very much!!!!
Click here to see answer by jim_thompson5910(28593)

Question 188708: Length of a Line Segment
12. Use the length formula to verify that C(-5, -1) is the midpoint of the line segment joining A(-2, 5) and B(-8, -7).
Thank you very much!!!
Click here to see answer by Alan3354(30993)

Question 188734: Solve x^2+3x is greater than 18 algebraically.
I worked it out to x is less than-6 or x is greater than 3.
Click here to see answer by user_dude2008(1861)

Question 188737: Please help me with this problem. I am confused and am trying to learn how to solve this type of problem. It is a fraction on top of a fraction and needs to be simplified; If anyone can help me understand this I would greatly appreciate it. Thank you.

2
--- +1
x+3
---
4
---- +2
x+3
Click here to see answer by jim_thompson5910(28593)

Question 188745: I did this problem and somehow came out with such a big answer that it does not seem right can anyone explain how to solve this by simplifying? Thank you.
(2b+1)^4
Click here to see answer by edjones(7569)

Question 188744: stuck on solving this problem and I need help. I am trying to understand this type of problem and cannot grasp how to simplify this when the problem is set up this way
5x^2 - 3y^-1
-------------
x^-1 + y^-1
Click here to see answer by jim_thompson5910(28593)

Question 188743: I am struggling with this problem and do not know how to solve it. Please help if you can.. I am not to good at this type of problem and do not know where to begin. Thank you and this is a fraction over fraction and I need to simplify

Click here to see answer by Edwin McCravy(8908)

Question 188742: I'm having difficulty understanding this problem...
I am asked to evaluate the functions for the values of x given as 1,2,4,8 and 16. Describe the differences in the rate at which each function changes with increasing values of x:
if the functions are
f(x) = x^2 - 4x + 3 which is a quadratic function producing the points
(1,0)(2,-1),(4,3),(8,35),(16,195)
f(x) = 7^x which is an exponential function producing the points
(1,7)(2,49),(4,2401),(8,5764801), and (16,3.323X10^13)
f(x) = log x which is a logarithmic function producing the points
(1,0), (2,0.3), (4, 0.6), (8, 0.9)and (16, 1,2)
I am sure that the quadratic function is much more accelerated in rate than a linear function, and the exponential function is the fastest rate of all, with the slowest rate by the logarithmic function. But I am not sure how to justify each evaluation of rate? Could you please help me understand how to arrive at evaluating the differences in rate of these functions? Thanks!

Click here to see answer by stanbon(57328)

Question 188752: Points are marked on a circle, and chords are drawn joining all the points.
1 point - 0 chords
2points - 1 chord
3 ponts - 3 chords
find an expression for the number of chords if there are n points on the circle.
Click here to see answer by scott8148(6628)

Question 188773: Help please I am confused and need some clarifying on this problem I seem to be getting wrong answer. Thank you!
This is two fractions adding and then one is the answer
1 + 1 = 2
-------- ------- -------
x^2 -2x + x = 3
Click here to see answer by jim_thompson5910(28593)

Question 188824: Solve the quadratic equation by completing the square.
+ 5x - 8 = 0

Could you please provide me a detailed explanation of how to obtain the answer
Click here to see answer by ankor@dixie-net.com(15649)

Question 188888: Hey can you work this out for me please and send me the formula?
X^2 -4x = -3
Thanks
Rich
Click here to see answer by checkley77(12569)

Question 188888: Hey can you work this out for me please and send me the formula?
X^2 -4x = -3
Thanks
Rich
Click here to see answer by jojo14344(1512)

Question 188821: According to data from the US Census Bureau, the population P of Cleveland, Ohio (in thousands) in year x can be approximated b P(x)=.08x^2-13.08x+927, where x=0 corresponds to 1950. In what calendar year, is the population about 1,000,000?
I have tried setting the equation to 1,000,000 (for example: 1,000,000=.08x^2-13.08x+927), but when I solve it, I come out with some outrageous number for the year... could you please show me the steps as to how I am supposed to set it up? I can preform the math, I am just unsure of the set up.
Click here to see answer by ankor@dixie-net.com(15649)

Question 189008: how would you solve for 8x squared – 12x = 11
Click here to see answer by jim_thompson5910(28593)

Question 188092: what is the 14th term in an arthmetic sequence in which the first term is 100 and the common diffence is -4?
Click here to see answer by Juhi(44)

Question 188725: a rectangular garden has a perimeter of 44m. A walkway 2m wide surrounds the garden. The combined area of the garden and walkway is 224m2. What are the dimensions.
Click here to see answer by jojo14344(1512)

Question 188893: 1b. 8xy / (24x /4)

1d. (3a - 6 / 6a +12) X (3a2 - 12 / a2 - 5a +6)

1c. (x - 7 / 3x2 - 8x +4) / (3x - 24 / 6x2 - 21)

1e. (4x - 6 / 4x + 8) X (6x + 12 / 4x2 - 9)

1f. (a2 - 9a + 14 / 3a - 6) / [(a - 7) (a + 7) / a2 + 4a + 21]

2a. (2x / 3) - (5x / 6) - 3 = (1/2x) - 5

2b. (4m / m-2) - (13 / 3m -6) = (1/5)

2c. (4 / x - 1) = (5 / x2 - x)

2d. (a / x2 - 4) = (2 / a +2)

2e. (x +1 / x2 - 9) = (1 / 3x + 9)

2f. (3x + 2 / 2x - 3 ) = (3x - 2 / 2x - 5)

2h. (4m / m - 2) - (13 / 3m - 6) = (1/3)

2i. (w +1 / w - 3) - (2w - 1 / w2 - 9)

Solve by factorization

3d. 5x2 - 40x = 0

3e. 36x2 - 81 = 0

3f. 4x2 - 16 =0

3h. x2 + 2x = 0

3i. 5x2 - 40x = 0

3j. x2 + x = 0

Click here to see answer by solver91311(16877)

Question 189083: A rocket is launched from Venus with a velocity of 100 ft/sec. The gravity on Venus is 28.8 ft/sec squared. After 3 seconds, how high will the rocket be? (Use the formula y=1/2gt squared + vt + s where g is the gravity, v is velocity and s is initial height). How long does it take the rocket to land? To reach its maximum height? What is the maximum height of the rocket?

2. A punter in the NFL wants his kick to remain in the air for the longest possible time in order that his defense gets as far down the field as possible. This is called "hang time". If the equation f(h)=-4.9t squared + 22t + 2 models the path of the punt, how long does the fottball remain airborne?
Click here to see answer by stanbon(57328)

Question 188904: Length of a Line Segment
14. An architect's drawing shows a pipe running diagonally under a basement floor from a floor drain to a sewer connection. The floor drain is at a point
2 m east and 2 m north of the southeast corner of the basement. The sewer connection is 10 m east 17 m north of the corner. The pipe costs $3.15 per metre, including taxes. How much should the builder budget for pipe for the floor drain?
Thanks and i dont understand how to solve it please help me!!!
Click here to see answer by ankor@dixie-net.com(15649)

Question 189152: I would appreciate it if you can help me this is a Quadratic function question.
I would try to begin but I have no idea on how to start.

1) A ball is thrown upward with an initial velocity of 32 ft./sec from a height of six ft.
The function s(t)=-16t*+32t+6 gives the height of the ball t seconds after release. Determine the time when the ball is at maximum height, and find that height.

2) Jessica can be paid one of two ways for painting a house:
Plan A: $200 plus $12 per hour
Plan B: $20 per hour
Suppose the job takes n hours to complete. For what values of n is Plan A better for Jessica?

3) In a study, it was found that the threshold weight, W, defined as the weight above which the risk of death rises dramatically, is given by
W(h)=( h/12.3) cube
Find the threshold weight for someone 5 ft 7 inches tall.

Thank you for your help!
Click here to see answer by Alan3354(30993)

Question 189151: I would appreciate it if you can help me this is a Quadratic function question.
I would try to begin but I have no idea on how to start.

1) A ball is thrown upward with an initial velocity of 32 ft./sec from a height of six ft.
The function s(t)=-16t*+32t+6 gives the height of the ball t seconds after release. Determine the time when the ball is at maximum height, and find that height.

2) Jessica can be paid one of two ways for painting a house:
Plan A: $200 plus $12 per hour
Plan B: $20 per hour
Suppose the job takes n hours to complete. For what values of n is Plan A better for Jessica?

3) In a study, it was found that the threshold weight, W, defined as the weight above which the risk of death rises dramatically, is given by
W(h)=( h/12.3) cube
Find the threshold weight for someone 5 ft 7 inches tall.

Thank you for your help!
Click here to see answer by feliz1965(151)

Question 189201: I have tried several times to answer these two questions and I can't seem to get it right. Your help would be greatly appreciated!!
1) A triangle has a base of length 2x + 3 and a height of x + 3 and has an area of 27 square units. Find the length of the base and height. (A= 1/2BH)
2) A triangle has a base of length 3x + 1 and a height of x + 6 and has an area of 45 square units. Find the length of base and height. (A= 1/2BH)
Click here to see answer by Alan3354(30993)

Question 189231: I have tried several times to work this problem and cannot seem to get the correct answer. Any help would be great! Thanks!
A rectangular garden has dimensions of 17 feet by 11 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 288 square feet?
Click here to see answer by jonvaliente(64)

Question 189213: a framed picture has length 35 cm and width 25 cm. the picture itself has area 375 sq cm. how far is it from the edge of the picture to the edge of frame if the distance is uniform around the picture?
Click here to see answer by jonvaliente(64)

Question 189266: 5t^2-10x=0
Can you show me exactly how 0 and 2 are possible answers to t.I know they are factors of 10 but I don't know how to set up the problem. Thanks
Click here to see answer by stanbon(57328)

Question 189332: Please help me with this. I don't get the formula. I could guess and probably come up with the right answer but I need to know how to come up with a formula. I tried drawing the diagram but it didn't help me and i don't know where to begin or how to turn it ito a quadratic equation because i think that's what they want. Please be detailed in your answer.
"A rectangle has a perimeter of 100 cm. Find the greatest possible area for the rectangle. (hint: Draw a diagram and label the length and width.)
Click here to see answer by checkley75(3666)

Question 189345: Analytic Geometry
2. For a line segment AB, one endpoint is A(-6, 2) and the other endpoint is B(1, -5). Find the coordinates of the midpoint M.
Thank you very much!!!!
Click here to see answer by stanbon(57328)

Question 189347: Analytic Geometry
5. Determine the equation of the line in standard form:
a) with a slope of -3/2 and passing through the point (5, -1).
Thank you very much!!!
Click here to see answer by checkley75(3666)

Question 189344: use the information s(t)= -16t^2 + v0t + s0
We throw a rock into the air with initial velocity of 50 ft/sec, and initial position of 6 ft. Find how high the rock goes before coming back down. To answer this question, fill in the blanks in the following sentence, where the first blank gives this height, and the second blank gives how many seconds into the flight of the rock it reaches this maximum height.
The rock reaches its highest position of _______ feet above the ground after _______ seconds of flight

Click here to see answer by Alan3354(30993)

Question 189352: Analytic Geometry
7. Find the shortest distance, approximate to the nearest tenth for the following: Please include a final statement
a) from the point P(1, -4) to the line y=2
Thank you very much!!!!
Click here to see answer by Edwin McCravy(8908)

Question 189358: Analytic Geometry
8. c) Given only the three vertices of a triangle. Explain how you would find the coordinate of teh circumcentre of a triangle. Include a diagram to illustrate your answer.
Thank you very much!!!!
Click here to see answer by solver91311(16877)

Question 189400: How do I solve the equation xsquared+6x-2=0 The answers in the back of the book look crazy! How the heck do I solve this?!
Click here to see answer by stanbon(57328)

Question 189415: use a quadratic equation to find two real numbers that satisfy the situation or show that no such numbers exist.
" their sum is 2, and their product is -15"
Click here to see answer by solver91311(16877)

Question 189419: I cant figure this one out. Please help.
Solve the equation x2 + 8x – 2 = 0 using both
a) The quadratic formula
b) Completing the square

Prepare a few sentences comparing and contrasting the two methods
Click here to see answer by Mathtut(3670)

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