Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 192340: I'm having problems with this type of question
Find the height, of a ball, above ground using the following information.
wait 3 seconds, velocity is 45 ft/sec, initial height above ground is 10 ft
wait 2 seconds, velocity is 95 ft/sec, initial height above ground is 50 ft
Click here to see answer by RAY100(1637)

Question 192343: Write an equation in standard form for each circle.
5. (0,0), radius 3
6. (0,2), radius 8
7. (5, –1), radius 6
8. What translation of x^2+y^2=36 results in x^2+(y-5)^2=36 ?
Shift upward five units.
Shift downwards five units.
Shift to the left five units.
Shift to the right five units.
.

9. Explain how to tell from a quadratic equation what type of conic section the equation represents without graphing it.
10. The point (–5, 1.5) is on the graph of x^2-4y^2=16 . Use symmetry to find one more point on the graph.

Click here to see answer by solver91311(16868)

Question 192320: (3x^3 - 9x - 3) / (3x+3)
Click here to see answer by Mathtut(3670)

Question 192296: divide 5x^3-5x+1 by x-3
explain what i am doing

Click here to see answer by Mathtut(3670)

Question 192009: The ancient Greeks thought that the most pleasing shape for a rectangle was one for which has the ratio of the length to the width was approximately 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio?

Click here to see answer by jojo14344(1512)

Question 192159: Find a quadratic function that fits the set of data points:
(1,4),(-1,-2),(2,13)
Click here to see answer by ankor@dixie-net.com(15622)

Question 192433: How do you solve (x-9)(x+1)(x-1)=0
Click here to see answer by stanbon(57211)

Question 192433: How do you solve (x-9)(x+1)(x-1)=0
Click here to see answer by Angel73(1)

Question 192241: Please help.
Find all the values of x satisfying the equation.
6+ 1/x+1 = 2/x+2
x=__
If there is more than one solution, separate them with commas.
Click here to see answer by edjones(7569)

Question 192438: Sweet Harmony Crafts has determined that when x hundred Dobros are built, the average cost per Dobro can be estimated by C(x)=.1x^2-.7x+2.425 where C(x) is in hundreds of dollars. What is the minimum average cost per Dobro and how many Dobros should be built to achieve that minimum?

Click here to see answer by stanbon(57211)

Question 192446: To solve percent mixture problems:
How many quarts of water must be added to 5 qt. of an 80% antifreeze solution to make a 50% antifreeze solution?
my try:
Water x 1.00 x
80% 75 .80 75(.80)
50% 75+x .50 .50(75+x)
x+75(80) =50(75+x)
x+6000=3750 + 50x
-49x = -2250
x = -45.91
????
Wrong?

Click here to see answer by Mathtut(3670)

Question 192443: find all zeros: f(x)=x^2+6x+11
Click here to see answer by Mathtut(3670)

Question 192443: find all zeros: f(x)=x^2+6x+11
Click here to see answer by edjones(7569)

Question 192444: To solve mixture problems:
A restaurant manager mixes 5L of pure maple syrup that costs $9.50 per liter with imitaton maple syrup that costs $4.00 per liter. How much imitation maple syrup is needed to make a mixture that costs $5.00 per liter?
my try:
Maple Syrup 5 9.50 5(9.50)
Imitation x 4.00 4.00x
Mixture x+5 5.00 5.00(x+5)
5(9.50) + 400x = 5.00(x+5)
47.50 + 400x = 5.00x + 25
400x = 5.00x - 22.50
80x = -22.50
x= -22.50/80
Don't think this is right??

Click here to see answer by ankor@dixie-net.com(15622)

Question 192482: Please help me to write the equation in standard quadratic form.
Thank You.
Click here to see answer by RAY100(1637)

Question 192499: I am thinking of three consecutive negative numbers. If i multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?
Click here to see answer by stanbon(57211)

Question 192498: 3x(x+3)=2(5x+1)
Click here to see answer by jojo14344(1512)

Question 192500: Tashin Baker is planning an expansion of a square flower garden in a city park. If each side of the original square is increased by 7 meters and the new total area of the garden will be 144 square meters. Find the lengh of the original garden.
Click here to see answer by nerdybill(6948)

Question 192501: the square of an integer is 30 more than the integer. find the integer.
Click here to see answer by nerdybill(6948)

Question 192506: (x^2-2x)(x+3)=neg.2x(x+1)
Click here to see answer by stanbon(57211)

Question 191651: 9*(x+2/x+3)^2 - 6*(x+2/x+3)+1 = 0
Click here to see answer by stanbon(57211)

Question 192529: Write a quadratic equation whose roots are 6+4i and 6-4i.
My answer is x^2-12x+40=0
Is this correct?
Click here to see answer by stanbon(57211)

Question 192529: Write a quadratic equation whose roots are 6+4i and 6-4i.
My answer is x^2-12x+40=0
Is this correct?
Click here to see answer by Earlsdon(6287)

Question 192529: Write a quadratic equation whose roots are 6+4i and 6-4i.
My answer is x^2-12x+40=0
Is this correct?
Click here to see answer by solver91311(16868)

Question 192564: Question 1:

How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex?

Question 2:
Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions?

Click here to see answer by Mathtut(3670)

Question 192618: On a sales trip, Gail drives the 600 miles to Richmond averaging a certain speed. The return trip is made at an average speed that is 10 mph slower. Total time for the round trip is 22 hours. Find Gail's average speed on each part of the trip.
Click here to see answer by josmiceli(9645)

Question 192566: Practical Application of Quadratic Equations
1.A rectangular garden has dimensions of 15 feet by 11 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 192 square feet?

2.A business invests $8,000 in a savings account for two years. At the beginning of the second year, an additional $2,500 is invested. At the end of the second year, the account balance is $11,445. What was the annual interest rate?

3.Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.

4. The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?

Click here to see answer by ankor@dixie-net.com(15622)

Question 192647: factor 3z3-75z
Click here to see answer by Mathtut(3670)

Question 192693: Recall that total profit P is the difference between total revenue R and total cost C. Given R(x)=1000x-x^2 and C(x)=3000+20x, find the total profit, the maximum value of the total profit, and the value of x at which it occurs.
Click here to see answer by nerdybill(6948)

Question 192763: a restaurant bill of $350 was paid using $5 and $50 notes.The totalnumber of notes used was 16.
a)write two equations in x and y to represent the information given
b)hence,calculate the number of $5 notes and the number of $50notes
Click here to see answer by Mathtut(3670)

Question 192640: Suppose that a corporation that manufactures widgets determines that its revenue function is R(x)=1000x-x^2 and its cost function is C(x)=3000+20x, where x represents the number of widgets produced. Find the corporation's maximum profit.
Click here to see answer by ankor@dixie-net.com(15622)

Question 192780: Find a function of minimal degree with interger coefficients and solutions {-4, 3/2, 2 + i}. Leave you answer in factored form.
Click here to see answer by RAY100(1637)

Question 192881: Bill is paid hourly. If he works 8 hours he will receive $50. Write an equation for his salary based on the number of hours he works.. Explain what you did to get your answer.
Click here to see answer by jojo14344(1512)

Question 192729: Jim drives from the Twin Cities to Monroe Louisiana, a distance of 1075 miles in record time. On the way back he averages 5 mph slower and the trip takes an additional 1.5 hrs. How fast did he drive to Monroe LA.? Round to the nearest tenth of a mph.
Click here to see answer by ankor@dixie-net.com(15622)

Question 192730: Find a function of minimal gegree with interger coefficients and solutions { -4, 3/2, 2+i }. Leave answer in factored form.
Click here to see answer by ankor@dixie-net.com(15622)

Question 192982: Hi,
I have two questions that i'm having problems with
1.Diagonal of a square. The diagonal of a square is 2 m longer
than a side. Find the length of a side.
If an object is given an initial velocity of v0 feet per second
from a height of s0 feet, then its height S after t seconds is given
by the formula S=16t2+v0t+s0.
Question 2
Time in the air. A ball is tossed into the air from a height
of 12 feet at 16 ft/sec. How long does it take to reach the
earth?
Click here to see answer by solver91311(16868)

Question 192998: 2. a) Is m^2-10m+16 a perfect square trinomial? Explain how you know.
Thank you very much!!!
Click here to see answer by stanbon(57211)

Question 193040: I need help. please show work so I can figure it out.

-5(x+2)+=5
Click here to see answer by Alan3354(30937)

Question 193053: Write three quadratic equations, with a, b, and c (coefficients of x^2, x, and the constant) as:
1. Integers
2. Rational numbers
3. Irrational numbers
Click here to see answer by Edwin McCravy(8879)

Question 193037: State whether the following statements are true or false and justify your answer.
a.a(x-alpha)(x-beta) can always be expressed as a(x-h)^2+k
b.a(x-h)^2+k can always be expressed as a(x-alpha)(x-beta).
Click here to see answer by jim_thompson5910(28476)

Question 193074: 2x^2-3x+2a=0 the 2a is giving me trouble
Click here to see answer by jim_thompson5910(28476)

Question 193090: A helicopter traveling 130 mph overtakes a speeding car traveling 80 mph. The car had a 0.5 -hour head start. How far from the starting point does the helicopter overtake the car?
my try:
130t = 80(t + 0.5)
130t = 80t + 4
50t = 4
t = 4/50???
not correct!
Click here to see answer by ankor@dixie-net.com(15622)

Question 193091: how many sides in a rectangle?
please and ty.
Click here to see answer by Alan3354(30937)

Question 193092: A plane leaves an airport at 3:00 PM. At 4:00 PM another plane leaves the same airport traveling in the same direction at a speed 150 mph faster than that of the first plane. Four hours after the first planes takes off, the second plane is 250 mi ahead of the first plane. How far does the second plane travel?
my try:
4x + 4(x+150) =250
4x + 4x + 600 = 250
8x + 600 = 250
8x = 350
x = 350/8

Click here to see answer by Alan3354(30937)

Question 193113: 4x^2-4x=1
Click here to see answer by jim_thompson5910(28476)

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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