Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1173184: The height of a projectile fired upward is given by the formula
s = v0t − 16t2,
where s is the height, v0 is the initial velocity, and t is the time. Find the time for a projectile to return to Earth if it has an initial velocity of 248 ft/s.

Click here to see answer by ewatrrr(24785) About Me 

Question 1173185: A dog trainer has 88 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclose an area of 420 ft2, what will be the dimensions of the work area?
Click here to see answer by math_tutor2020(3816) About Me 
Question 1173185: A dog trainer has 88 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclose an area of 420 ft2, what will be the dimensions of the work area?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1173185: A dog trainer has 88 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclose an area of 420 ft2, what will be the dimensions of the work area?
Click here to see answer by Alan3354(69443) About Me 
Question 1173185: A dog trainer has 88 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclose an area of 420 ft2, what will be the dimensions of the work area?
Click here to see answer by greenestamps(13195) About Me 

Question 1173199: Please help
Solve the quadratic equation by completing the square.
+x%5E2-4x-6=0+

Click here to see answer by ikleyn(52750) About Me 
Question 1173199: Please help
Solve the quadratic equation by completing the square.
+x%5E2-4x-6=0+

Click here to see answer by ewatrrr(24785) About Me 
Question 1173199: Please help
Solve the quadratic equation by completing the square.
+x%5E2-4x-6=0+

Click here to see answer by MathTherapy(10549) About Me 

Question 1173198: please help me
An amount of $42,000 is borrowed for 5 years at 8.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
round your answer to the nearest dollar.

Click here to see answer by ewatrrr(24785) About Me 

Question 1173203: Please Help
Solve the quadratic equation by completing the square.

+x%5E2-16x%2B51=0+
Round answer to the nearest hundredth (this is the part that has been confusing me)

Click here to see answer by josgarithmetic(39613) About Me 

Question 1073702: Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function.

Click here to see answer by Riley12(3) About Me 
Question 1073702: Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function.

Click here to see answer by ikleyn(52750) About Me 

Question 1173211: Solve the quadratic equation by completing the square.
+x%5E2%2B12x%2B22=0+

Round answer to the nearest hundredth

Click here to see answer by ikleyn(52750) About Me 

Question 1173222: The length of a swimming pool is twice the width. The area of the pool is 6498 ft2. Find the length and width of the pool.
Click here to see answer by Boreal(15235) About Me 

Question 1173229: Hello I need help solving this quadratic equation by completing the square and rounding the solution to nearest hundredth please.

+x%5E2-10x%2B10=0+

Click here to see answer by ewatrrr(24785) About Me 
Question 1173229: Hello I need help solving this quadratic equation by completing the square and rounding the solution to nearest hundredth please.

+x%5E2-10x%2B10=0+

Click here to see answer by Theo(13342) About Me 

Question 1173239: xsquare + 7x + 2 = 0
Click here to see answer by Boreal(15235) About Me 

Question 1173248: I need some help please
+x%5E2%2B8x%2B14=0+
then round answer to the nearest hundredth

Click here to see answer by Solver92311(821) About Me 

Question 1173256: quadratic equation help please
+x%5E2%2B8x%2B14=0+
then round answer to nearest hundredth

Click here to see answer by ikleyn(52750) About Me 

Question 1173274: write the equation of a parabola that has a stretch factor of 2.5, reflected in
the x axis and has a vertex of (-2,-3)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1173309: A diver jumps from a platform 15 meters above the surface of the water. The diver's height, in meters, above the water is given by the equation h(t)=-4.9t^2 + 5.5t + 15 where t is the time in seconds after the diver jumps. What is the max height of the diver and how long does it take the diver to reach that height?
Click here to see answer by Solver92311(821) About Me 

Question 1173322: Dimensions of a garden. A patio measures 20 meters by 30 meters where you want to build a flower garden in the center, with a strip of grass of uniform width, around the garden. There must be 184 square meters of grass. How long and wide should the garden be?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1173321: Dimensions of a piece of sheet metal. A rectangular piece of sheet metal is 4 inches less long than twice the width. A 2-inch square piece is cut at each corner. The sides are then folded up to form an open box whose volume is 256 cubic inches. Find the length and width of the original piece of metal.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1173321: Dimensions of a piece of sheet metal. A rectangular piece of sheet metal is 4 inches less long than twice the width. A 2-inch square piece is cut at each corner. The sides are then folded up to form an open box whose volume is 256 cubic inches. Find the length and width of the original piece of metal.
Click here to see answer by ikleyn(52750) About Me 

Question 1173412: The height highlight%28in_feet%29 of a ball above the ground t seconds after it is thrown is h(t) = 20+32t−16t2. How long will it take for the ball to hit the ground?
Click here to see answer by ikleyn(52750) About Me 

Question 1173411: . Tobey sits by the lake and throws a stone into it. The path of the stone is described by the equation
h= 22t -5t2 where h is the height of the stone in metres at t seconds after it has been thrown. By drawing a suitable graph, find the time taken for the stone to reach
a) The maximum height
b) The surface of the lake

Click here to see answer by ikleyn(52750) About Me 

Question 1173405: Solve for x using the quadratic formula. Express your answer in simplest radical form:
2x-(1/x+2)=3

Click here to see answer by josgarithmetic(39613) About Me 

Question 1173404: For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1
Click here to see answer by ikleyn(52750) About Me 

Question 1173468: Solve for x using the quadratic formula. Express your answer in the simplest radical form:
2x-(1/(x+2)=3

Click here to see answer by josgarithmetic(39613) About Me 

Question 1173494: The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/s from a cliff 47 ft above an ocean beach is given by the function
s(t) = −16t2 + 64t + 47,
where t is the time in seconds. Find the maximum height above the beach that the rock will attain.

Click here to see answer by ewatrrr(24785) About Me 

Question 1173491: A fountain shoots water from a nozzle at its base. The height h, in feet, of the water above the ground t seconds after it leaves the nozzle is given by
h(t) = −16t2 + 18t + 7.
What is the maximum height of the water? Round to the nearest tenth.

Click here to see answer by ewatrrr(24785) About Me 

Question 1173489: An event in the Summer Olympics is 10-meter springboard diving. In this event, the height s, in meters, of a diver above the water t seconds after jumping is given by s(t) = - 4.9t2 + 7.6t + 10. What is the maximum height that the diver will be above the water? Round to the nearest tenth.
Click here to see answer by ewatrrr(24785) About Me 

Question 1173498: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives is related to the price P, in dollars, of an oven by the function R(P) = 100P - 0.25P2. What price will give the maximum revenue?
Click here to see answer by ikleyn(52750) About Me 

Question 1173490: A manufacturer of microwave ovens believes that the revenue R, in dollars, the company receives is related to the price P, in dollars, of an oven by
R(P) = 120P − 0.25P2.
What price will give the maximum revenue?

Click here to see answer by ikleyn(52750) About Me 

Question 1173492: The suspension cable that supports a small footbridge hangs in the shape of a parabola. The height h, in feet, of the cable above the bridge is given by
h(x) = 0.25x2 − 0.2x + 25,
where x is the distance in feet from one end of the bridge. What is the minimum height of the cable above the bridge? (Round your answer to two decimal places.)

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1173497: An event in the Summer Olympics is 10-meter springboard diving. In this event, the height s, in meters, of a diver above the water t seconds after jumping is given by s(t) = - 4.9t2 + 7.3t + 10. What is the maximum height that the diver will be above the water? Round to the nearest tenth.
Click here to see answer by Boreal(15235) About Me 

Question 979634: quick computing company produces calculators. thay have found that the cost, c(x), of making x calculators is a quadratic function in terms of x. the company also discoversd that it costs $61 to produce 3 calculators, $165 to produce 7 calculators, and $385 to produce 12 calculators. Find the total cost of producing 6 calculators

Click here to see answer by bendyraptor(0) About Me 

Question 1173587: Put the following equation into the form y =ax^2+bx+c:
2x-(1)/(x+2)=3

Click here to see answer by josgarithmetic(39613) About Me 

Question 1173664: When a pendulum that is 0.5m long swings back and forth, its angular displacement, theta , in radians, from rest is given by theta= (1/4 sin( pi/2t), where t is the time , in seconds.
a) what is the period...I think it is 4??
b) At waht time is the pendulum first displaced by an angle of 0.1 radians? no idea

Click here to see answer by htmentor(1343) About Me 

Question 1173666: Solve for the solution over the domain: -180 < or equal to x < or equal to 360 degrees.
Equation is : 2= sq.root2 cos((1/2)(x-30degrees)) +1

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1173666: Solve for the solution over the domain: -180 < or equal to x < or equal to 360 degrees.
Equation is : 2= sq.root2 cos((1/2)(x-30degrees)) +1

Click here to see answer by mccravyedwin(405) About Me 
Question 1173666: Solve for the solution over the domain: -180 < or equal to x < or equal to 360 degrees.
Equation is : 2= sq.root2 cos((1/2)(x-30degrees)) +1

Click here to see answer by AnlytcPhil(1806) About Me 

Question 1173665: Solve for the GENERAL solution : 3= 2sin (3(x+ (pi/3)) +4
Click here to see answer by jsmallt9(3758) About Me 
Question 1173665: Solve for the GENERAL solution : 3= 2sin (3(x+ (pi/3)) +4
Click here to see answer by ikleyn(52750) About Me 

Question 1173930: Let r varies inversely as​ u, and r​ =5 when u​ = 3. Find r if u ​= 1/7

Click here to see answer by josgarithmetic(39613) About Me 

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, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240