Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1107910: A suspension bridge has two supporting towers and cables secured at either end of the span. The section of the cables between the two supporting towers forms a parabolic curve. At the lowest point, the cables are 12 feet from the surface of the bridge. The supporting towers are 600 feet apart and 412 feet tall. What is the complete quadratic equation that describes the curve of the cables between the towers? Use the vertex as the y-intercept.
Click here to see answer by ikleyn(52790) About Me 

Question 1107913: The area of a circle is defined as A(r) = pr2. The surface area of a cylinder is defined as
B(r) = 2prh, where r is the radius of the cylinder and h is the height. Which function defines the total surface area of a cylinder with a height that is 3 less than twice its radius?
a. C(r)=2pr2 +2pr
c. C(r)=6pr2 –6pr
b. C(r)=4pr2 –4pr
d. C(r)=8pr2 +8pr

Click here to see answer by JThomson(12) About Me 

Question 1107909: The area of a memorial park was determined by the height of a flagpole in the center of the memorial. The park is rectangular, and the length of the north side of the park is 9 times the height of the flagpole. The east side of the park is 11 times the height of the flagpole. If the height of the flagpole is h feet, what is the area of the park?
Click here to see answer by JThomson(12) About Me 

Question 1107908: Given the vertex of a parabola of (4, –8) that passes through the point (2, 20), what is the vertex form of the quadratic equation?
Click here to see answer by josgarithmetic(39618) About Me 
Question 1107908: Given the vertex of a parabola of (4, –8) that passes through the point (2, 20), what is the vertex form of the quadratic equation?
Click here to see answer by TeachMath(96) About Me 

Question 1107907: A rancher is building a pen using 150 feet of fencing. The pen will be enclosed on 3 sides, with the fourth side shared by an already existing pen. What is the function of the area of the new pen?
Click here to see answer by JThomson(12) About Me 
Question 1107907: A rancher is building a pen using 150 feet of fencing. The pen will be enclosed on 3 sides, with the fourth side shared by an already existing pen. What is the function of the area of the new pen?
Click here to see answer by ikleyn(52790) About Me 

Question 1107972: please i want to know how to derive the quadratic formular
Click here to see answer by Fombitz(32388) About Me 
Question 1107972: please i want to know how to derive the quadratic formular
Click here to see answer by Boreal(15235) About Me 

Question 1108153: The height of a baseball can be expressed by the function h(t)=-2.1 (t-2.7)2+16
A) what is the maximum height reach by the baseball?
B) how long did it take to reach the max height?
C) how long was the ball in the air?

Click here to see answer by Collinwilfixyouuprealnice(44) About Me 

Question 1108378: A group of students is On a sightseeing tour. The total fare is $120
. And this is to be shared equally among the students. If two more students join the tour each will pay $2 less.find the original number of students in the group

Click here to see answer by ikleyn(52790) About Me 

Question 1108458: Quadratic equations by factoring and zero product property
2x^2+7x-15=0

Click here to see answer by Alan3354(69443) About Me 

Question 1108467: What is the maximum or minimum value of f(x)=2x^2-8x-3 and how do you find it?
Click here to see answer by josgarithmetic(39618) About Me 
Question 1108467: What is the maximum or minimum value of f(x)=2x^2-8x-3 and how do you find it?
Click here to see answer by ikleyn(52790) About Me 
Question 1108467: What is the maximum or minimum value of f(x)=2x^2-8x-3 and how do you find it?
Click here to see answer by TeachMath(96) About Me 

Question 1108577: The difference of twice the area of the rectangle and the area of the square is more than 67.
Select the inequality that could be used to find the dimensions of the figures.

Click here to see answer by ikleyn(52790) About Me 

Question 1108630: 6. Given f(x) = x2 –3x + 108, what is the transformation of f(3x)?
a. The function is stretched vertically by a factor of 3.
b. The function is compressed vertically by a factor of 13 .
c. The function is stretched horizontally by a factor of 3.
d. The function is compressed horizontally by a factor of 13 .

Click here to see answer by greenestamps(13200) About Me 

Question 1108697: y = -x with the power of 2 - 2x + 3
i need to know what y equals
the vertex
a of S: x=
min/max
x-int
y-int
inc: x __ __
dec: x __ __
x -> *infinity sign* ; y->
x -> - *infinity sign* ; y->

Click here to see answer by josgarithmetic(39618) About Me 

Question 1108726: The formula for factoring the difference of two squares is A^2 - B^2 = (1)
Click here to see answer by Alan3354(69443) About Me 

Question 1108742: I have a test next week and need help working out and solving
a problem. If you could please help me with the steps that would be great!
James Bond stands on top of a 240-foot building and throws a film canister
upward to a fellow agent in a helicopter 16ft above the building. The height
of the film canister above the ground t seconds later given by the formula
H(t) = -16t^2 +32t + 240, where is h is in feet?
A. If the film canister reaches the agent in the helicopter at its
highest point, how long will it take the film canister to reach the agent?
B. If the film canister is not caught by the agent in the helicopter and
falls to the ground, how long will it take to hit the ground? Solve by
factoring.

Click here to see answer by ikleyn(52790) About Me 
Question 1108742: I have a test next week and need help working out and solving
a problem. If you could please help me with the steps that would be great!
James Bond stands on top of a 240-foot building and throws a film canister
upward to a fellow agent in a helicopter 16ft above the building. The height
of the film canister above the ground t seconds later given by the formula
H(t) = -16t^2 +32t + 240, where is h is in feet?
A. If the film canister reaches the agent in the helicopter at its
highest point, how long will it take the film canister to reach the agent?
B. If the film canister is not caught by the agent in the helicopter and
falls to the ground, how long will it take to hit the ground? Solve by
factoring.

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1108759: I have a test next week and need help knowing how to solve and work this problem out.
The Function D(x)=2375x^2 + 5134x +5020 models the totals number of AIDS deaths x years after 1984. What year were there 90,000 deaths?

Click here to see answer by ikleyn(52790) About Me 

Question 1108757: I have a test next week and need help knowing how to solve and work this problem out.
A baseball is thrown from a stadium seat and its path is shown by h(t)=-16t^2+75, where h is height in feet and t is time in seconds.
A. How long before the ball hits the ground. Round to hundredths

B. How high off the ground is the stadium seat?

Click here to see answer by Alan3354(69443) About Me 

Question 1108741: how would you solve this problem and show work i'm trying to understand the concept, I have a test next week.
Three novice sailors were attempting to sail to Cancun Mexico from fl Keys during the Christmas break when a storm overtook them. the most composed of the sailors fired a shot with the flare gun straight up into the air hoping against hope that someone would see the distress signal. The height H of the flare, in meters above the "ground", t seconds after firing, can be modeled by the function: H(t)=-4.9t^2+166t+2.2
Evaluate H(3), and explain what it means in the context of the situation
based on the height model, is it likely the sailor was sitting or standing in the raft when he fired the flare gun? How do you know?
give the height from which the flare was fired in meters?
give the maximum height reached by the flare? (Round to the nearest tenth)
How long did it take for the flare to reach the maximum height? (Round to the nearest tenth)
how long was the flare in the air? (Round to the nearest tenth)
A second boat was several mies away from the lost sailors, and, if the occupants of the second boat happened to be looking at the right moment in the right direction, the flare would be visible as long as it was at least 400 meters in the air. For how long would the flare have been visible to the occupants of the second boat. (Round to the nearest tenth)

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

Question 1108979: x^4-11x^2+18=0
Click here to see answer by stanbon(75887) About Me 
Question 1108979: x^4-11x^2+18=0
Click here to see answer by josgarithmetic(39618) About Me 
Question 1108979: x^4-11x^2+18=0
Click here to see answer by ikleyn(52790) About Me 

Question 1109013: Graph the quadratic equation.
y=-3x^2

Click here to see answer by Boreal(15235) About Me 

Question 1109014: A laboratory designed a radio telescope with a diameter of 300 feet and a maximum depth of 44 feet. The graph depicts a cross section of this telescope. Find the equation of this parabola.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1109014: A laboratory designed a radio telescope with a diameter of 300 feet and a maximum depth of 44 feet. The graph depicts a cross section of this telescope. Find the equation of this parabola.
Click here to see answer by josgarithmetic(39618) About Me 

Question 1109167: (1)-3 and 5
(2)1 and 11/2

Click here to see answer by ikleyn(52790) About Me 

Question 1109235: A candy company was looking at its profits and wanted to know the maximum number of candies that needed to be sold to make a maximum profit. Write a possible equation where it is easy to find the maximum profit and number of candies. Is the maximum profit represented by the x-value or the y-value?
Please help! I know p(x)=r(x)-c(x), however i am having difficulty executing the function to find maximum profit..

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

Question 1109256: assuming the polynomial below is factorable, what is the maximum value of b?
x^2+bx-20

Click here to see answer by KMST(5328) About Me 

Question 1109391: (x+3)(2x-5)=20(2)
Click here to see answer by Alan3354(69443) About Me 

Question 1109469: At what distance from a source of light will the intensity of illumination be half as great as it is at a distance of 6 inches
Click here to see answer by Alan3354(69443) About Me 

Question 1109583: complete the given table for equation
5x+y=7

Click here to see answer by Alan3354(69443) About Me 

Question 1109741: Please help me solve for these 2 equations.
Question 1: 25X^4-25X^2+6=0
Question 2: H=-81T^2+BT+Q (Solve for T)

Click here to see answer by MathLover1(20850) About Me 

Question 1109734: Use the quadratic formula to solve the equation.
2/5x^2-x+17/15=0

Click here to see answer by Alan3354(69443) About Me 

Question 1109766: P(x)=-.0002x2=3x=$10,800
Click here to see answer by stanbon(75887) About Me 

Question 1109767: What is the projected number of people age 65 or older with Alexander’s disease and 2030 and in 2050 if p(t)=-.0002083t3+.015t2-.093t+5.2
Click here to see answer by ikleyn(52790) About Me 

Question 1109863: A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 61 bills having a combined monetary value of ​$169. Find the number of bills of each denomination that he has.
Click here to see answer by josgarithmetic(39618) About Me 

Question 1109862: Solve the following problem using a system of equations.
How many pounds of nuts selling for ​$6 per lb and raisins selling for ​$3 per lb should a person combine to obtain 210 lb of a trail mix selling for ​$4 per​ lb?

Click here to see answer by josgarithmetic(39618) About Me 

Question 1109999: Perimeter of quadrilateral is 42cm. Find lengths of all sides
x+4
x+5
2x-2
x^2-2x

Click here to see answer by ikleyn(52790) About Me 
Question 1109999: Perimeter of quadrilateral is 42cm. Find lengths of all sides
x+4
x+5
2x-2
x^2-2x

Click here to see answer by greenestamps(13200) About Me 

Question 1110076: When Joey dives off a diving board, the equation of his pathway can be modeled by h = -16t + 15t+ 12. Find Joey's maximum height.
Click here to see answer by ikleyn(52790) 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