Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 288755: The time, t, it takes for an ice cube to melt is inversely proportional to the temperature of the water it is in. If it takes an ice cube 2.5 minutes to melt in 70 degree F water, how long will it take an ice cube of the same size to melt in 50 degree water?
Click here to see answer by Alan3354(30983)

Question 288834: find the x-intercepts of the graph of the quadratic funtion
y=(x-3)(x-2)
Click here to see answer by stanbon(57246)

Question 288872: Place the following equation in the standard form of a quadratic equation:
4/x^2+3/x-10=0. Please tell me what is a, b, and c.
Click here to see answer by dabanfield(803)

Question 288877: graph: y=-3(x-2)(x-6)
when i tried to solve it my answer came out to be which doesnt seem right because the graph that they gave me is only 10 units tall by 6 units wide.

Click here to see answer by dabanfield(803)

Question 288881: graph: y=-3(x-2)(x-6)
when i tried to solve it my answer came out to be which doesnt seem right because the graph that they gave me is only 10 units tall by 6 units wide.

Click here to see answer by richwmiller(9135)

Question 288909: please help me solve quadratic equations by factoring: 10x^2=9x
Click here to see answer by stanbon(57246)

Question 288874: Find the exact complex number solutions to the quadratic equation using the quadratic formula....
-5x^2=-5x+6=0

I guess the two "=" signs are throwing me off.
I moved the -5x^2 to the right to get rid of the negative value.
Making the equation
5x^2-5x+6=0
Quadratic Formula:
-b +- square root b^2-4ac/2a
a=5 b=-5 c=6
-(-5)+- square root (-5)^2-4(5)(6)/2(5)
Disregarding imaginary numbers; I came up with "No Real Solution"
as my answer was
5+- square root -95/10
Am I correct?
Thank you for your help
Click here to see answer by richwmiller(9135)

Question 288969: A rain gutter is made from sheets of aluminum that are 30 inches wide. The edges are truned up to fom right angles. Determine the depth of the gutter that will allow a cross-sectional area of 40 square inches. Show that there are two different solutions to the problem. tound to the nearest tenth of an inch. The width of the gutter, after turning up the edges, is given as 30-2x. Its depth is given as x
The area is x(30-2x)
Set this expression equal to the given area, 40
The final answer is x approximately = 1.5, 13.5 inches. How did they get the final answer?
Click here to see answer by nyc_function(2733)

Question 288976: Area of a Rectangle. The width of a rectangle is fixed at
4 cm. For what lengths will the area be less than
40. Area of a Rectangle.
L
L
86 cm2?
Click here to see answer by mananth(12270)

Question 289064: A rocket is launched from atop a 115-foot cliff with an initial velocity of 133 ft/s.
a. Substitute the values into the vertical motion formula h = –16t2 + vt + c. Let h = 0.
b. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Click here to see answer by Alan3354(30983)

Question 289027: Use the quadratic formula to find the x-intercepts for the parabola f(x)=2x^2+11x-6?
Click here to see answer by jim_thompson5910(28504)

Question 289195: I'm stuck on this problem and it's giving me fits. Could you please help me?
Use the quadratic formula to solve the equation.
6x^2+5x+8=0
Click here to see answer by richwmiller(9135)

Question 289210: 21y^2+17y+2
Click here to see answer by richwmiller(9135)

Question 289250: A kangaroo's jump follows the path
h = -0.0347d^2+0.833d
where 'h' is the height in feet and 'd' is the horizontal distance in feet. What is the maximum height that the kangaroo reaches?
I have no idea where to begin to solve this problem. Is the answer the vertex? Please help.
Click here to see answer by scott8148(6628)

Question 288992: A man started on a walk 12 km. After walking half the distance at x km/h, he decreased his speed by 1/2 km/h. He completed his walk 10 minutes later than he would have done if he had not decreased his speed. Obtain an equation for x and solve it. Use your value of x to determine the time he took for the 12 kilometre walk.
Click here to see answer by ankor@dixie-net.com(15638)

Question 289278:
Click here to see answer by stanbon(57246)

Question 289365: The height of an object thrown in the air is given by h = t2 – 7t + 3, where h is in feet and t is the time in seconds the object has been in motion. At what time (to the nearest tenth) is the object 11 feet in the air?
Could you help to solve this equation?
Thank you.
Cynthia

Click here to see answer by stanbon(57246)

Question 289385: Evaluate the function f(x) =x² +7x-7 at the given values of the independent variable and simplify
a. F(6) b. f(x +4) c. f(- x)

Click here to see answer by alegriajoy33(14)

Question 289339: 11>5-2x > or = -7
Click here to see answer by alegriajoy33(14)

Question 289339: 11>5-2x > or = -7
Click here to see answer by richwmiller(9135)

Question 289415: how to solve problems by completing the square?
Click here to see answer by solver91311(16868)

Question 289436: Find the quadratic equation with integer coefficients such that the sum of the roots is and the product of the roots is .
Click here to see answer by edjones(7569)

Question 289526: Hello I created this quadratic equation and want to make sure it is correct please if you could tell me if it is right or not. if it is not can you redo the problem with the correct parts that I might have done wrong.

Suppose the demand and price for a multiday vitamin are related by p= .0020q + 1, where p is the price (in dollars) of a 30 day supply. If the demand is related to the price by p = -.0030q + 24.99.

What are the equilibrium quantity and price?

Answer:

.0020q + 1 = -.0030q + 24.99

10q = 24.98

q = 2.498

p= .0020 (2.498) + 1 = 5.996 or $6.00

equilibrium quantity is 2.498 vitamins at an equilibrium price of $6.00

Thank you
John
Click here to see answer by MRSLADY16(1)

Question 289594: Hello, I'm unsure of how to do this problem.
3*( 7 + 6 ) + 3 * 5 / 3 * ( 2 + 1 )
Click here to see answer by rfer(12647)

Question 289720: Slove the quadric equation by completing the square. x^2 -5=8x
Click here to see answer by solver91311(16868)

Question 289720: Slove the quadric equation by completing the square. x^2 -5=8x
Click here to see answer by stanbon(57246)

Question 289768: complete the square and find the two solutions. Simplfy the solutions and rationalize the denominators. x^2-3x-10=0
Click here to see answer by richwmiller(9135)

Question 289775: Please help with this problem with how to do it showing work and answer

A property manager owns a 10-unit apartment building. The property manager has found that for every $50 increase, one unit will be left empty. Currently, all 10 apartments are rented for $900 per month. How many $50 increases will get the property manager the most monthly income?
This was a problem given by a student she wasnt sure if she created it correctly whichever I have no clue how to solve or how to get to the answer please help
John

Click here to see answer by richwmiller(9135)

Question 289785: Use the qadratic formula to find the solutions to the equation. -x^2-x=7
Click here to see answer by j1mmy94(14)

Question 289772: Hello can anyone help solve this problem with work shown and answers it will help me learn how to do these problems for my upcoming test.

Sean's Widget Company has revenue that is modeled by the function R(x) = -4x2 + 35x and costs modeled by the function C(x) = 12x +30. The input variable x is in hundreds of widgets, and the outputs of the functions are in units of thousands of dollars. Construct a profit function P(x) and find the value of x that maximizes the profit.

Thank you John
Click here to see answer by ankor@dixie-net.com(15638)

Question 289860: One roots of the equation x^3 - 2x^2 – 13x - 10 = 0 is 5. What is the sum of its other roots?
(a)-2 (b) -3 (c) 2 (d) 1 (e) None of these

Click here to see answer by stanbon(57246)

Question 289766: Use the discriminant to determine the number of solutions of the quadratic equation solve this equation using the quadratic formula. -3y^2-3y=-2
Click here to see answer by Fombitz(13828)

Question 289878: Factor 12x^2-16x-60
I got to this point- 4(3x^2-4x-15)
The teacher wants us to now take it a form of 4( )( ) and i am not sure what to do next.
Click here to see answer by richwmiller(9135)

Question 289877: what is the correct substitution in the quadratic formula for the solution of the following equation? 8x^2 + 3a^2 = 10ax
Click here to see answer by richwmiller(9135)

Question 289806: The value of a share can be represented by V(x) = x2 – 28x + 13, where x is the number of months after January 2004. What is the lowest value V(x) will reach, and when did that occur? (5 points)
Click here to see answer by Fombitz(13828)

Question 289894: I am having difficulty figuring this problem out. Could you please help me? :)
16x^4-41x^2+25=0
Click here to see answer by richwmiller(9135)

Question 289946: can you determine d, if given the quadratic formula d=-5t2+10t+5 ? and you have no other information?
Click here to see answer by richwmiller(9135)

Question 290002: 1 Graph
2. Identify the vertex.
3. Is the vertex a maximum or a minimum?
4. Compare this graph to the graph of y = –x^2

5. Order the quadratic functions y = -4x^2, y = 1/4 x2, and y = 2x^2 fromwidest to narrowest graph.
Click here to see answer by Fombitz(13828)

Question 290064: How do you graph these:
y=-3x^2+6x+2

Click here to see answer by richwmiller(9135)

Question 290074: my question is after you find the square root of the number what do u do after that?
Click here to see answer by richwmiller(9135)

Question 290118: how do I factor
(p+q)squared-2(p+q)-15
thank you!
Click here to see answer by richwmiller(9135)

Question 290144: what is the solution set of the equation 3x^2=48?
Click here to see answer by richwmiller(9135)

Question 290031: m^2+11/3m=-2
Click here to see answer by jsmallt9(3296)

Question 290119: Solve by using the quadratic formula.
The solution set is { , } or is solution set 0?

Click here to see answer by Deina(147)

Question 290255: Dear tutor, I am in Iraq about to fail my math class. Can you please assist with these problems?
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. (x = 1 is the day tickets go on sale).
tickets = -0.2^2 + 12x + 11
In this equation, does the graph of the equation open up or down?
Describe what happens to the tickets sales as time passes?
Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.
After how many days will the peak or low occur?

Click here to see answer by richwmiller(9135)

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