Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 210707: A model rocket is shot into the air and its path is approximated by h = -5t^2 + 30t where h is the height of the rocket above the ground in metres and t is the elapsed time in seconds. When will the rocket hit the ground?
Click here to see answer by Earlsdon(6294)

Question 210914: what is the solution to 3x^2=8x+9 ?
Click here to see answer by jim_thompson5910(28715)

Question 210917: Solve the equation by introducing a substituition that transforms this equation to quadratic form.
x^-8-17x^-4+16=0
Click here to see answer by nerdybill(7008)

Question 210919: Solve the equation by introducing a substituition that transforms this equation to quadratic form.
3=1/(x+1)^2+2/(x+1)

Click here to see answer by nerdybill(7008)

Question 210930: The longer leg of a right triangle is ten less than three times the shorter leg. The hypotenuse is the shorter leg plus 4 . Find the length of the shorter leg.
Click here to see answer by nyc_function(2733)

Question 210929: The medium side of a right triangle is 7 more than the shortest side. The longest side is 7 less than 3 times the shortest side. Find the length of the shortest side of the triangle.
Click here to see answer by DRichardson(63)

Question 210931: Two cars leave an intersection. One car travels north; the other travels east. When the car traveling north had gone 24 miles, the distance between the cars was four miles more than three times the distance traveled by the car heading east. Find the distance between the cars at that time
Click here to see answer by josmiceli(9817)

Question 210791: what is the equation of the quadratic function described of the minimum value of f is f(3)= -5 and f(1) = 2
Click here to see answer by scott8148(6628)

Question 210968: I do not under stand how to solve quadratic equations and I'am stuck on solving this problem please use simple terms. y=-x2-4x-3 Thank you for all you do!
Click here to see answer by Earlsdon(6294)

Question 210971: Solve the equation 15p ^ 2 + 7p - 4 = 0 by completing the square.

Click here to see answer by Earlsdon(6294)

Question 210974: A rectangular skating rink measures 40 m by 20 m. Next year the rink is to
be doubled in area by extending each side by the same amount. Determine how
much each side should be extended, to the nearest tenth of a meter.
Click here to see answer by Earlsdon(6294)

Question 210975: at t=0 seconds, Vikki stood on the roof of a building and threw a penny in the air. The height in feet h(t) of the ball at t seconds is given by the formula H(t) = -16t^2 + 96t + 56. a) how tall is the building? b) when is the ball at its highest point? c) to what height does the ball travel? d) when does the ball strike the ground?
Click here to see answer by stanbon(57967)

Question 211003: The vertex of a parabola is ( -2,4) . one x-intercept is -4 what is the other
x – intercept ?
Click here to see answer by ankor@dixie-net.com(15746)

Question 211016: What is the quadratic equation for this question x2 - 5x - 24 = 0

Thank you for what you do!
Click here to see answer by Alan3354(31529)

Question 210743: simplify this equation:
-10(5-8)^2+2^3x1^2x3-8(5)=
Click here to see answer by RAY100(1637)

Question 211055: f(x)=x^2-5x+3
part 1: f(x+h)
part 2: f(x+h)-f(x) over h ,h does not equal 0
Click here to see answer by RAY100(1637)

Question 211092: Alice throws a ball to Connor. The height, h (in meters) after time, t (in
seconds) is approximated by the formula h= 2 + 28t – 5t^2. Calculate the time
required for the ball to reach a height of 15m.
Click here to see answer by algebrapro18(206)

Question 211164: The height of an object tossed upward with an initial velocity of 104 feet per second is given by the formula h = -16t^2 + 104 t, where h is the height in feet and t is the time in seconds. Find the time required for the object to return to its point of departure
Click here to see answer by Earlsdon(6294)

Question 211161: A farmer drives a tractor from one town to another a distance of 120 kilometers. He drives 10 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
Click here to see answer by stanbon(57967)

Question 211196: solve the equation by the square root method (x-2)^2=64
Click here to see answer by rfer(12730)

Question 211200: How do you solve: x-6sqrtx+8=0
and
(x^2-6x)^2-22(x^2-6x)-135=0
Click here to see answer by edjones(7569)

Question 205145: Can someone help me? im stuck on this...
Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
1...Integers
2...Rational numbers
3....Irrational numbers

Thank you!
Click here to see answer by Alan3354(31529)

Question 211227: 6x^2+4x+9x+6
Click here to see answer by Earlsdon(6294)

Question 211214: A factory produces skateboards. The cost of producing x hundreds of units a day can be approximated by the formula C = 0.89x^2 - 9.32x + 3677. Find the daily production level that will minimize the cost.
Click here to see answer by Earlsdon(6294)

Question 211249: I'm trying to find the x-intercepts for the equation Y=16-4x^2. What I've tried to do is change the y to 0, and factor the rest of the equation, but I keep getting left with a 4 that I can't seem to get rid of. My Algebra skills are a little rusty...please help.
0=4(4-x^2)
0=4(2+x)(2-x)
0=-2
0=2
(-2,0) and (2,0) are the x intercepts and the answers at the solutions part of the book, but why is that 4 still there?

Click here to see answer by Earlsdon(6294)

Question 211226: 3xsquared + 4x =-2
Click here to see answer by jim_thompson5910(28715)

Question 211163: A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool.
Click here to see answer by Alan3354(31529)

Question 211297: Three hundred feet of fencing is available to enclose a rectangular yard along side of the St. John’s River, which is one side of the rectangle. What dimensions will produce an area of 10,000 ft2? What is the maximum area that can be enclosed?
Click here to see answer by rfer(12730)

Question 211295: The base of a triangle is one more than four times the height. Determine the dimensions that will give a total area of 9 cm^2. What is the minimum area of such a triangle?
Click here to see answer by RAY100(1637)

Question 211296: The perimeter of a rectangle is 50 yds. What are the dimensions that will produce the maximum area of such a rectangle?
Click here to see answer by checkley77(12569)

Question 211335: Is it possible for a quadratic equation to only have one solution? Provide example.
Click here to see answer by rfer(12730)

Question 211293: The width of a rectangle is five less than twice the length. What is the minimum area of such a rectangle?
Click here to see answer by checkley77(12569)

Question 211281: The perimeter of a rectangle is 70 m. What are the dimensions that will produce the maximum area of such a rectangle?
Click here to see answer by checkley77(12569)

Question 211284: The value of Jon’s stock portfolio is given by the function V(t)= 50 + 77t + 3t^2
where v is the value of the portfolio in hundreds of dollars and t is the time in months. How much money did Jon start with? What is the minimum value of Jon’s portfolio?
Click here to see answer by Alan3354(31529)

Question 211344: solve for 8m^3-40m=4m^2
Click here to see answer by Earlsdon(6294)

Question 211280: Charles wants to build a vegetable garden such that three sides of the garden are fenced and the fourth side of the garden will be the existing back fence. He has 30 feet of fencing available. Find the dimensions of the garden that will produce the maximum enclosed area.
Click here to see answer by checkley77(12569)

Question 211353: 2x^2-9x-1=o what is the answer using the quadratic formula
Click here to see answer by checkley77(12569)

Question 211362: Solve by using the square root property:25x^2+16=0
Click here to see answer by rapaljer(4667)

Question 211291: Five hundred feet of fencing is available to enclose a rectangular lot along side of highway 65. Cal Trans will supply the fencing for the side along the highway, so only three sides are needed as seen below. What dimensions will produce an area of 40,000 ft2? What is the maximum area that can be enclosed?
Click here to see answer by checkley77(12569)

Question 211374: factor 20x-20y-200
Click here to see answer by rapaljer(4667)

Question 211375: give exact and approximate solutions to three decimal places for
y^2-12y+36=100
Click here to see answer by jim_thompson5910(28715)

Question 211375: give exact and approximate solutions to three decimal places for
y^2-12y+36=100
Click here to see answer by rapaljer(4667)

Question 211395: Find two consecutive even integers whose product is 48.
and

Find two consecutive odd integers whose product is 63.
Click here to see answer by Alan3354(31529)

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