Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1024359: Write a quadratic equation with no real solutions. Explain how you know there are no solutions.
Click here to see answer by Fombitz(32388)

Question 1024212: the domain and range of f(x) = 2x to the power of two plus 8x-1
Click here to see answer by Fombitz(32388)

Question 1024385: A ball is thrown toward from a height of 15ft. With an inital upward velocity of 5ft/s. Use the forumula h(t)=-16t^2+vt+s to find out how long it will take for the ball to hit the ground.
Click here to see answer by solver91311(24713)

Question 1024390: A ball is thrown toward from a height of 15ft. With an inital upward velocity of 5ft/s. Use the forumula h(t)=-16t^2+vt+s to find out how long it will take for the ball to hit the ground. thank you
Click here to see answer by Alan3354(69443)

Question 1024365: Describe three different ways to solve x^2 - 2x - 15 = 0. Which method do you prefer and why?

Click here to see answer by Fombitz(32388)

Question 1024570: What is a qudratic function with zeros 5 and 8
Click here to see answer by Fombitz(32388)

Question 1022994: A square lawn has area 1800 squared .ft2.A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circle?

I got 1800 is this correct ?
Click here to see answer by Fombitz(32388)

Question 1024598: The graph of the equation y =ax^2 + bx + c, where a, b, and c are constants, is a parabola with axis of symmetry x = -3. Find b/a
Click here to see answer by richard1234(7193)

Question 1024597: Find the area of the region enclosed by the graph of the equation x^2 + y^2 = 4x + 6y+13.
Click here to see answer by josgarithmetic(39617)

Question 1024725: Hi I need help solving the this : (x+2)^2 � 5(x+3) +6=0
Click here to see answer by josgarithmetic(39617)

Question 1024725: Hi I need help solving the this : (x+2)^2 � 5(x+3) +6=0
Click here to see answer by MathTherapy(10551)

Question 1024734: Help with quadratic equation with roots : √2x2 � 3x + √2 =0
Click here to see answer by Theo(13342)

Question 1024900: How would you factor x^2 + 9x + 18 ? What are the steps?
Click here to see answer by Fombitz(32388)

Question 1024900: How would you factor x^2 + 9x + 18 ? What are the steps?
Click here to see answer by Timnewman(323)

Question 1025025: Find the area of the region enclosed by the graph of the equation x^2 + y^2 = 4x + 6y+13.

Click here to see answer by Alan3354(69443)

Question 1025043: If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 80 minutes, then Torricelli's law gives the volume in gallons of water remaining in the tank after t minutes as
V(t) = 5000 (1-t/80)^2
(a) Find the volume of water remaining in the tank after 1 hour. (Round your answer to one decimal place. Include units with your numerical answers.)
After 1 hour (60 minutes), there would be about ________ of water remaining in the tank.
(b) When will there be only 2450 gallons of water remaining in the tank? (Include units with your numerical answers.)
After about _______ there would be only 2450 gallons of water remaining in the tank.
(c) When will there be only 100 gallons of water remaining in the tank? (Round your answer to one decimal place. Include units with your numerical answers.)
After about _____there would be only 100 gallons of water remaining in the tank.
Click here to see answer by solver91311(24713)

Question 1024962: The point (a,b) is 5 units away from the point (6,3), and (a,b) lies on the line 5x - 4y = -14. What is the largest possible value of a?
Click here to see answer by KMST(5328)

Question 1025084: when a quadratic equation is in the standard form y=ax2+bx+c
increasing the value of a makes the graph
decreasing the value of a makes the graph
a negative value of a makes the graph open
a positive value of a makes the graph open
Click here to see answer by Fombitz(32388)

Question 1025085: Write a word problem involving finding two real numbers that could be solved with the equation x(9-x)=14.
Then Determine what the axis of symmetry and the maximum or minimum point of the graph of the
equation would be without graphing the equation. Solve by graphing and then solve in 2 other ways. Thanks!
Click here to see answer by Fombitz(32388)

Question 1025081: factor 6x^3 + 3x^2y - 2xy - y^2 in two diffrent ways. Could you also please show the work? Thanks!
Click here to see answer by Alan3354(69443)

Question 1025113: Use the quadratic formula to solve each equation.
2x^2 - 5x + 4 = 0

12x^2 - 5x - 7 = 0

Click here to see answer by ikleyn(52777)

Question 1025171: The height, h, in feet of a golf ball above the ground after being hit into the air is given by the equation, h = -16t^2 + 64t, where t is the number of seconds elapsed since the ball was hit. How many seconds does it take for the golf ball to hit the ground?
Click here to see answer by Alan3354(69443)

Question 1025191: A church is bringing a group of its members to a "clean comedians" show. If they bring 15 people, it will cost $10 each. For each additional person the church brings, the price per ticket will go down $0.20. Groups are limited to 35 people because of the seating capacity of the auditorium.
(a) What will it cost the church to bring 18 members? (Round your answer to the nearest cent.)
It costs the church $
to bring 18 members to the "clean comedian" show.
(b) Find an equation for the model of the total cost of bringing a group to the show. (Define x as the number of members beyond 15.)
=

(c) Use your model to find the total cost of bringing a group of 26 people. (Round your answer to the nearest cent.)
It costs $
to bring 26 members to the show.
(d) If the church can only afford to pay $210.80 for this trip, how many people can the church bring? (Enter your answers from smallest to largest.)
The church can bring either
(smaller value) or
(larger value) people to the show for $210.80.
Click here to see answer by Alan3354(69443)

Question 1025172: Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation h = -8t^2 + 40t, where h represents the height of the ball above the ground and t represents the time in seconds.
How many seconds does it take the ball to reach its highest point?
What ordered pair represents the highest point that the ball reaches as it travels through the air?
Click here to see answer by josmiceli(19441)

Question 1025189: Let b and c be constants such that the quadratic -2x^2 +bx +c has roots 3+sqrt{5} and 3-sqrt{5}. Find the vertex of the graph of the equation y=-2x^2 + bx + c.
Click here to see answer by josgarithmetic(39617)

Question 1025251: the base of a triangular garden is 5 yards longer than the height, and the area of the garden is 133 square yards. Find the dimension of the triangle

Click here to see answer by josgarithmetic(39617)

Question 1025246: In two or more sentences, explain how to solve the system of equations algebraically.
Solve the system of equations
x+y=2
y= -1/4 x^2 +3
Click here to see answer by ikleyn(52777)

Question 1025198: The average profit for mixing specialized metallic paints for a small manufacturing company can be modeled by
P(q) = q(90 − 5q)
where P(q) represents the average profit in dollars per quart mixed when q quarts are mixed for one order. Use factoring to find the number of quarts that must be ordered and mixed for the average profit to be $400 per quart. Create a table and check your answer. (Include units with your numerical answers.)
You must order _______ (smaller value) or ______ (larger value) of the specialized metallic paints for the average profit to be $400 per quart.
Click here to see answer by robertb(5830)

Question 1025307: Please help me solve these two quadratic equations, thank you!
2x^2 - 5x + 4 = 0

12x^2 - 5x - 7 = 0

Click here to see answer by Fombitz(32388)

Question 1025306: 12. 2x^2 - 5x + 4 = 0

13. 12x^2 - 5x - 7 = 0
Please help me, thanks!! :)
Click here to see answer by Fombitz(32388)

Question 1025286: A church is bringing a group of its members to a "clean comedians" show. If they bring 15 people, it will cost $10 each. For each additional person the church brings, the price per ticket will go down $0.20. Groups are limited to 35 people because of the seating capacity of the auditorium.
What will it cost the church to bring 18 members? (Round your answer to the nearest cent.)
It costs the church $______ to bring 18 members to the "clean comedian" show.
Use your model to find the total cost of bringing a group of 26 people. (Round your answer to the nearest cent.)
It costs $_____to bring 26 members to the show.
If the church can only afford to pay $210.80 for this trip, how many people can the church bring? (Enter your answers from smallest to largest.)
The church can bring either______(smaller value) or______(larger value) people to the show for $210.80

Click here to see answer by Alan3354(69443)

Question 1025292: The Skywalk is a glass-bottomed platform that hangs over the edge of the Grand Canyon and is suspended 4000 feet above the floor of the canyon. If a tourist shot an arrow straight up in the air from the observation platform, the arrow's height could be modeled by
H(t) = −16t2 + 240t + 4000
where H(t) is the height of the arrow above the canyon floor in feet t seconds after being shot
(a) Find H(3)and explain its meaning. (Include units with your numerical answers.)
After_______, the arrow was at a height of_________.
(b) Use factoring to determine how many seconds before the arrow was at a height of 1536 feet. (Include units with your numerical answer.)
It took about________ for the arrow to get to 1536 feet.
c) Use factoring to determine after how many seconds the arrow would hit the canyon floor. (Include units with your numerical answer.)
After______, the arrow hits the canyon floor.

Click here to see answer by KMST(5328)

Question 1025197: The Skywalk is a glass-bottomed platform that hangs over the edge of the Grand Canyon and is suspended 4000 feet above the floor of the canyon. If a tourist shot an arrow straight up in the air from the observation platform, the arrow's height could be modeled by
H(t) = −16t2 + 240t + 4000
where H(t) is the height of the arrow above the canyon floor in feet t seconds after being shot.
(a) Find H(3) and explain its meaning. (Include units with your numerical answers.)
After, the arrow was at a height of_____.
(b) Use factoring to determine how many seconds before the arrow was at a height of 1536 feet. (Include units with your numerical answer.)
It took about______for the arrow to get to 1536 feet.
(c) Use factoring to determine after how many seconds the arrow would hit the canyon floor. (Include units with your numerical answer.)
After, _____ the arrow hits the canyon floor.
Click here to see answer by KMST(5328)

Question 1025458: An equation is shown.
x^2+ 8x + 19 = 0
What is an equivalent equation that results from completing the square?
Click here to see answer by Fombitz(32388)

Question 1025458: An equation is shown.
x^2+ 8x + 19 = 0
What is an equivalent equation that results from completing the square?
Click here to see answer by Cromlix(4381)

Question 1025492: What could be added to x^2 - 14x to form a perfect square trinominal?
Click here to see answer by Fombitz(32388)

Question 1025491: What is the value of b^2-4ac for the equation 2x^2=-1-3x.
Click here to see answer by Fombitz(32388)

Question 1024954: The graph of (x-3)^2 + (y-5)^2=16 is reflected over the line y=2. The new graph is the graph of the equation x^2 + Bx + y^2 + Dy + F = 0 for some constants B, D, and F. Find B+D+F.
Click here to see answer by fractalier(6550)

Question 1024951: The graph of (x-3)^2 + (y-5)^2=16 is reflected over the line y=2. The new graph is the graph of the equation x^2 + Bx + y^2 + Dy + F = 0 for some constants B, D, and F. Find B+D+F.
Click here to see answer by fractalier(6550)

Question 1025509: Find the roots (y intercepts) :
F(x) = 1/2X^2 - 4
How do I solve this?
Click here to see answer by Fombitz(32388)

Question 1025516: Sketch a parabola that models a real-life situation and describe what the vertex represents. Determine reasonable domain and range values for this type of situation.
Click here to see answer by fractalier(6550)

Question 1025580: the length of a rectangle is represented by x+7 and the width is represented by x+1. If the area of the rectangle is 65 square feet, find the perimeter of this rectangle.
Click here to see answer by mananth(16946)

Question 1025573: The current through a particular wire can be modeled by
I(t) = 2t2 − 6t + 7
where I(t) is the current in amperes after t seconds.
(a) Find the current in the wire after 0.5 seconds.
The current in the wire after 0.5 seconds would be about_____amperes.
(b) After how many seconds would the current reach 14 amperes? (Round your answer to two decimal places. Include units with your numerical answers.)
After about_____the current would reach 14 amperes.
(c) After how many seconds would the current reach 60 amperes? (Round your answer to two decimal places. Include units with your numerical answers.)
After about_____the current would reach 60 amperes.

Click here to see answer by KMST(5328)

Question 1025635: To determine an equation in vertex form, which is y=a(x-h)2+k, if I know the value of y, x, and k, could I find a? For example, 2.6=a(6.4-h)2+1.0, how would I find a?
Click here to see answer by Fombitz(32388)

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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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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