Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 187210: 6. Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Determine the number and types of solutions.

z^2 + z + 1 = 0
help please. thanks.
Click here to see answer by jim_thompson5910(28598)

Question 187247: If the zeroes of a quadratic function are -4 and 6, and its y-intercept is 12, determine the function in general form without using regression.
My name is Chantal and I know that -4 and 6 are the roots and -12 is the last part of the equation in general form but I don't know what he means by regression. I'm not sure how to go about doing this equation. If you could help me it would be greatly appreciated. I missed school when we learnt this.This is not from a book.
Chantal Laroche
Click here to see answer by jim_thompson5910(28598)

Question 187214: word problem!
13.
A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.

I am too confused. I need your help, thanks.
Click here to see answer by dukesmart(20)

Question 187379: the area of a rectangle is 243cm2. the length is three times greater than the width. what are the dimensions of the rectangle?
Click here to see answer by uday1435(57)

Question 187377: I am not even sure how to type this:(
1) Evaluate: lim 3x^4+4x^2-2/3x^3-5x^4 when x approaches infinity(the symbol looks like a sideways eight). I hope this makes sense because I need help.
2) If y=2x^2-3x,find the average rate of change of y with respect to x from P(2,2) to Q(2.1,2.52).
Click here to see answer by josmiceli(9698)

Question 187380: a ball is thrown into the air in such a way that its distance(d), in feet, above the ground at any time(t), in seconds, is given by the equation d=40t-5t^2.
how many seconds will it take for the ball to reach a height of 80ft above the ground?
Click here to see answer by checkley77(12569)

Question 187428: 4x^2+2x+8=0
Click here to see answer by jim_thompson5910(28598)

Question 187535: two consecutive negative integers have a product of 240.
what are the integers?
n=
n+1=
Click here to see answer by checkley77(12569)

Question 187537: the area of a rectangle is 165ft^2. the length is 4 ft greater than the width.
find the dimension of the rectangle.
w=
l=
Click here to see answer by uday1435(57)

Question 187572: What is the i for in some of the quadratic equations? like one of the answers to a qustion is x=3+-2i.
Click here to see answer by solver91311(16897)

Question 187536: a sandbag falls out of a hot air balloon that is 144ft above the ground. How long does it take for the sandbag to reach the ground?
to find the answer, use the equation 0=-16t^2+144 in which the time(t), in seconds, is the time it takes to hit the ground.
need to know the second(s)
Click here to see answer by Alan3354(30993)

Question 187600: Solve 4x^3-36x=0
4x(x^2-9)
where do I go from here?
Click here to see answer by Alan3354(30993)

Question 187607: Solve the equation.
5x^2+17x+6=0
I worked it out to be -2/5 and -3.
Am I correct?
Click here to see answer by Alan3354(30993)

Question 187599: The equation W=120I-6I^2 represents the power (W) in watts that a 120 volt circuit can deliver if it has a resistance of 6 ohmmeter. What is the maximum power, in watts, that can be delivered by this circuit?
My name is Chantal and I'm not sure how to do this. I was sick when he taught us word problems. I believe the answer is the vertex seeing that it wants a maximum but I'm not sure of the equation. Is it w= -6I^2 + 120 + 6 or is it
6=-6I^2 + 120 + 0.
If you can help me it would be greatly appreciated. Please and Thank you.This is not from a text book.
Chantal
Click here to see answer by Alan3354(30993)

Question 187616: jasmine drew a rectangle which is 143sqare mm. ethan drew a rectangle inside of jasmine's which is 35 square mm. ethan's rectangle has a 3 mm border between his and jasmine's rectangle. what are the length and width of jasmines rectangle?
after many attempts i believe the answer is 13mm X 11 mm. i have worked backwards but cannot seem to find the equation to use for finding either the length or width. using A = l x w
please help.
donna
Click here to see answer by jim_thompson5910(28598)

Question 187617: flight 725 left new york at 10:28am flying north. flight 245 left same airport at 11:18am flying south at 125kmh less than 3 times the speed of flight 725. at 1:06pm they are 1030 km apart. what is average rate of speed for flight 245?
Click here to see answer by ankor@dixie-net.com(15667)

Question 187632: Suppose to want to reserve a rectangular region in a large room and you have 32 ft. of masking tape. Let’s investigate how much area you can reserve with 32 ft. of masking tape and how this area changes with different lengths of sides for the rectangular region.
1) Take a guess on the dimensions of the region that would give the largest area.
2) Find the values for the table below. The column labels of base, height, and area represent the values of the base height and area of the rectangular region. Use as many different values of bases and heights as you can, but have the perimeter or the rectangular region be 32ft.
Base Height Area

Click here to see answer by Alan3354(30993)

Question 187654: Add and simplify
x/(a+b) + y(b+a)
Add
(2/x) + (3/-x)
How do I find the numerator of the sum
((y+3)/y) + (y/(y+3))
Add and Simplify
9/(3-w) +w^2/(w-3)
Add (3/x)+(4/y)
Subtract (5/x)- ((x+3))/x^2)

Click here to see answer by user_dude2008(1861)

Question 187686: Solve
9x^=14
Click here to see answer by jim_thompson5910(28598)

Question 187810: 3. Use the two roots given by the quadratic equation
a. find a formula for the sum of the roots
b. find a formula for the product of the roots
c. without solving tell the sum and product of the solutions of 2x^2+5x-3=0
I don't even understand the question at all....I feel like it doesn't make sense
Click here to see answer by jim_thompson5910(28598)

Question 187834: Okay, and here I'm confused again ...
Three out of four American adults under age 35 have eaten pizza for breakfast. If a random sample of 20 adults under age 35 is selected, find the probability that exactly 16 have eaten pizza for breakfast.
p=25
q=
n=20
x=16
I'm not sure what goes where. Help.
Thanks, P

Click here to see answer by stanbon(57424)

Question 187871: Please Help!! I got how many cells after 5 hours but I am lost on the 6,000,000,000 A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours? Then how long (approximately) it would take to have 6,000,000,000 cells.

Click here to see answer by user_dude2008(1861)

Question 187927: I am suppose to find the center (h,k) and the radius of the circle given by the equation: x^2-6x+y^2+10y=-30 by completing the square.
Click here to see answer by Earlsdon(6291)

Question 188100: I need to solve this problem withour using the quadratic equation.
Solve 3x ( x+3) = 2 (5x+1)
Click here to see answer by stanbon(57424)

Question 188098: I was told to solve this withot using the quadratic equation. I have no idea how to do this.
Solve 2x ( x + 3 ) = x + 25
Click here to see answer by Mathtut(3670)

Question 188091: which of the following relations is a function?
{(3,4),(-3,1),(4,4),(0,7)}
{(0,4),(-3,1),(2,-4),(0,7)}
{(4,4),(-3,1),(4,-4),(0,7)}
{(2,4),(3,1),(3,-4),(-3,7)}
Click here to see answer by Mathtut(3670)

Question 188095: in direct variation 2y=3x, what is the K value?
a)3/2
b)3
c)2/3
d)2
what is the slope of the direct variation y=3/5x
a)3
b)5
c)3/5
d)5/3
Click here to see answer by Mathtut(3670)

Question 188094: find the next term in following sequence 1/8,1/4,3/8,1/2,.....
a)7/8
b)5/8
c)3/4
d)5/16
Click here to see answer by Mathtut(3670)

Question 188090: which of the following relations is a function?
{(-9,5),(7,1),(0,-8),(1,7)}
{(-9,5),(0,1),(4,-8),(4,7)}
{(-9,5),(0,1),(6,-8),(0,7)}
{(-9,5),(7,1),(0,-8),(7,3)}
Click here to see answer by Mathtut(3670)

Question 188099: I have to solve this without using the quadratic equation and really just dont know how to.
Solve ( x^2 – 2x )( x + 3) = -2x ( x + 1)
Click here to see answer by jim_thompson5910(28598)

Question 188146: 5x2 + 8x + 2 = 0

Click here to see answer by Mathtut(3670)

Question 188246: x^2+2x+1=0
Click here to see answer by uday1435(57)

Question 188251: would you please help me how to solve this problem
y=-6^2+3x
and
y=-3x-6x-1
thank you
Click here to see answer by jojo14344(1512)

Question 188254: I know this is a dumb question but if I could please get an answer! Can a linear equation be graph such as 2x + 6 = 10?
Click here to see answer by Alan3354(30993)

Question 188260: Solve by Factorization
1. x2 - 13x + 30 = 0
2. 2x2 - 3x = 2
3. 3x2 - 7x - 6 = 0
4. 5x2 - 40 x = 0
5. 36x2 - 81 = 0
6. 4x2 - 16 = 0
7. 3x2 = 4x + 7
8. x2 + 2x = 0
9. 5x2 - 40 x = 0
10. x2 + x = 0
Solve By Quadratic Formula
1. 2x2 - 6x + 3 = 0
2. 7x2 + 4x = 1
3. 2x2 + 6x + 3 = 0
4. x2 - 5x + 6 = 0
5. 3x2 = 4x + 5

Click here to see answer by Alan3354(30993)

Question 188319: can you please help me solve.
simplify the expression

Click here to see answer by jim_thompson5910(28598)

Question 188317: can you please help me !
Simplify the expression
Click here to see answer by jim_thompson5910(28598)

Question 188290: x^2+3x-40=0
Click here to see answer by jim_thompson5910(28598)

Question 188384: How would you graph this polynomial 3x² + 4x – 5? Or how do you graph any polynomial. Please Help!!!!!
Click here to see answer by jojo14344(1512)

Question 188403: find the solution of x^2-21=4x. if the solution is a fraction, enter it in simplest form
x= or x=
Click here to see answer by josmiceli(9698)

Question 188406: For the exponential function e^x and logarithmic function log x, graphically show the effect if x is halved. I am really confused.
Click here to see answer by solver91311(16897)

Question 188398:
Click here to see answer by Mathtut(3670)

Question 188428: tickets= 0.2x^2+12x+11
A. Does this graph gp up or down? How did you determine this?
B. Describe what happens to ticket sales as time passes?
C. Use the quadrtic equation to determine the last day that tickets will be sold. (write your answer in terms of the number of days after ticket sales begin)
D. will tickets peak or be at a low during the middle of the sales? How do you know?
E. After how many days will the peak or low occur.
F. How many tickets will be sold on the day when the peak or low occurs?
G. What is the point of the vertex? How does this number relate to your answers in parts e anf f?
H. How many solutions are there in -0.2x^2+12x+11=0? How ndo you know?
I. What do the solutions represent? Is there a sloution that does not make sense? If so, in what ways does the solution not make sense?

Please help me solve these questions. I am not understanding this!!!''
Thank you for your help....
Click here to see answer by solver91311(16897)

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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