Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1141448: How would I solve this quadratic fraction? -5 times t divided by 3 =-10? Having a hard with this one for now.
Click here to see answer by josgarithmetic(39613)

Question 1141444: How would I solve for x on this quadratic inequality? this is the one that's been puzzling me: (x+5)(x-2)(x-7)≤0
Here are the multiple choice answers: https://i.imgur.com/oEmAOtH.png
Click here to see answer by greenestamps(13195)

Question 1141516: You are given a fixed rectangular-shaped aluminium sheets measuring 30cm inn breadth to form six other possible cross - sectional shapes of the gutter. For each and every shape formed, find the cross-sectional area and hence deduce the best cross-sectional shape to be used as a gutter.
Click here to see answer by ikleyn(52750)

Question 1141515: It is given that the base and its two lateral side are 10cm in length. Find the measurement of the upper side so that the gutter can the hold the maximum amount of water. Give a reason to support your answer.
Click here to see answer by greenestamps(13195)

Question 1141520: a=1/2bh 90 square units and height is x+2 and base is 5x+35. what is the base
This is what ive got.
90= (1/2) (5x+35) (x+2)
5x^2 +45x +70 =180
x^2 +9x -110= 0
Click here to see answer by josgarithmetic(39613)

Question 1141547: write the quadratic equation whose roots are 1 and 3 and whose leading coefficient is 3
Click here to see answer by Edwin McCravy(20054)

Question 1141693: You are hitting baseballs. When tossing the ball into the air, your hand is 5
feet above the ground. You hit the ball when it falls back to a height of 4
feet. If you toss the ball with an initial velocity of 25 feet per second, how
much time will pass before you hit the ball?
Click here to see answer by Edwin McCravy(20054)

Question 1141927: 3x^2+4=2x

Click here to see answer by Alan3354(69443)

Question 1141953: The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, find the values of x and y.
Click here to see answer by josmiceli(19441)

Question 1141950: Find the x and y intercepts of the inequality 3x + 2y ≥ 15.
Click here to see answer by rfer(16322)

Question 1141949: Two domestic parcel companies charge as per the functions given below. For what weight (x), the charge (y) is the same in both companies? Company
A: y = 2x + 3
Company B: y = 1.5x + 4
Click here to see answer by josmiceli(19441)

Question 1141972: this is Quadratic or not Quadratic?
1/2 (h-6)=0
Click here to see answer by Alan3354(69443)

Question 1141972: this is Quadratic or not Quadratic?
1/2 (h-6)=0
Click here to see answer by Theo(13342)

Question 1141971: this is Quadratic or not Quadratic ?3m+8=15
Click here to see answer by Alan3354(69443)

Question 1141969: 3m+8=15 this is Quadratic or not quadratic?

Click here to see answer by Alan3354(69443)

Question 1141983: I'm having confusion with this question
You and a friend are hiking in the mountains. You want to climb a ledge that is 6.1 meters above you. The height of the grappling hook you throw is modeled by the equations h(t)=-4.903t^2+9.8t+1.5. What is the maximum height of the grappling hook? Can you throw it high enough to reach the ledge?
Click here to see answer by Boreal(15235)

Question 1142084: If the zeros of a quadratic function, F, are -3 and 5, what is the equation of the axis of symmetry of F?
Click here to see answer by josgarithmetic(39613)

Question 1142124: How did you write quadratic equation in standard form?

Click here to see answer by ikleyn(52750)

Question 1142124: How did you write quadratic equation in standard form?

Click here to see answer by josgarithmetic(39613)

Question 1142174: write a quadratic function whose zeros are 3 & -2
Click here to see answer by josgarithmetic(39613)

Question 1142182: wich function is equlivent to f(X)=-4(X+7)^2-6
Click here to see answer by ikleyn(52750)

Question 1142249:
Click here to see answer by Alan3354(69443)

Question 1142263: Given that x²+bx+18 is factorised as (x+2)(x+c). Find the values of c and b
Click here to see answer by josgarithmetic(39613)

Question 1142263: Given that x²+bx+18 is factorised as (x+2)(x+c). Find the values of c and b
Click here to see answer by ikleyn(52750)

Question 1142263: Given that x²+bx+18 is factorised as (x+2)(x+c). Find the values of c and b
Click here to see answer by Alan3354(69443)

Question 1142336: a bridge cable connecting two towers forms a parabola. the lowest point is 55m about the waters surface. the origin is at the point where the cable is attached to the southern tower 75m above the waters surface. the other end is attached to the northern tower 120 m away, write a quadratic function in standard form
Click here to see answer by Alan3354(69443)

Question 1142368: Please help me solve this:
Which of the following relations is a function / are functions?
A. {(a, b), (a, c), (a, d), (a, e)}
B. {(b, a), (c, a), (d, a), (e, a)}
C. {(1, 1), (2, sqrt(2)), (3, sqrt(3)), (4, 2)}

1. Only A
2. Only B
3. Only C
4. Only B and C
5. A, B
Click here to see answer by math_helper(2461)

Question 1142423: Trains a and b leave the station at right angels at the same time. Train b travels 10 miles per hour faster than train A. After two hours, they are 100 miles apart. Find the speed of each train
Click here to see answer by greenestamps(13195)

Question 1142427: A Weather sensor is shot from a platform into the air and allowed to fall back to the ground. Its height in meters is given by the equation h= -49t^2 + 18t + 5, where t is the time in seconds.
a) What is the maximum height of the sensor, and at what time does it occur?
b) When does the Rocket return to the ground?
c) At what times is the sensor 15 meter above the ground?
d) How high is the sensor after 1.5 seconds?
Click here to see answer by Alan3354(69443)

Question 1142371: Please help me solve this:
Suppose f, g and h are functions defined by
f(x) = 3x sqrt(3 + x), g(x) = x + 3 / 3x + 2
and h(x) = sqrt(x − 1) / sqrt(x + 1)
Which of the following statements is / are true?
A. Df = {x ∈ R : x ≥ −3}
B. Dg = {x ∈ R : x != − 2/3}
C. Dh = {x ∈ R : x > −1}
1. Only A
2. Only B
3. Only C
4. Only A and B
5. A, B and C
Click here to see answer by greenestamps(13195)

Question 1142369: Please help me solve this:
Which of the following defines a one - to - one function / define one - to - one functions in x?
A. y = x^2
B. x = y^2
C. xy = 1
1. Only A
2. Only B
3. Only C
4. Only A and B
5. Only A
Click here to see answer by math_helper(2461)

Question 1142469: PROJECTILE IS LAUNCHED FROM GROUND LEVEL WITH AN INITIAL VELOCITY OF v0 FEET PER SECOND. NEGLECTING AIR RESISTANCE, ITS HEIGHT IN FEET t SECONDS AFTER LAUCH IS GIVEN BY s = -16^2+ v0t
::: IN NUMBER 25, FIND THE TIME (s) THAT THE PROJECTILE WILL (a)REACH A HEIGHT OF 192ft AND (b) RETURN TO THE GROUND FOR THE GIVEN VALUE OF v0=112fps. ROUND ANSWERS TO THE NEAREST HUNDREDTH IF NECESSARY.
Click here to see answer by Alan3354(69443)

Question 1142366: Please help me solve this:
The circle with the equation
x^2 − 2x + y^2 + 6y = 6
has centre C and radius r, where
1. C = (1, −3) ; r = 4
2. C = (1, −3) ; r = 16
3. C = (−1, 3) ; r = 4
4. C = (−1, 3) ; r = 16
5. C = (0, 0) ; r = sqrt(6)
Click here to see answer by Alan3354(69443)

Question 1142478: How do I determine the quadratic equation when the vertex is (3,-4) and the given point is (2,1)?

Click here to see answer by josgarithmetic(39613)

Question 1142478: How do I determine the quadratic equation when the vertex is (3,-4) and the given point is (2,1)?

Click here to see answer by MathTherapy(10549)

Question 1142479: One integer is 7 more than another. Their product is 540. Find the integers
Click here to see answer by josgarithmetic(39613)

Question 1142479: One integer is 7 more than another. Their product is 540. Find the integers
Click here to see answer by ikleyn(52750)

Question 1142704: The amount of medicine in micrograms, A, in a person's bloodstream t minutes after a certain quantity of it has been inhaled can be approximated by the equation Upper A= -38tsquared +152t. How long after inhalation will there be about 114 micrograms of medicine in the bloodstream?
Click here to see answer by ikleyn(52750)

Question 1142926: If one throws a ball down from a high cliff, the distance it travels can be modeled by the equation: LaTeX: d = -9.8t^2-15t+100 d = − 9.8 t 2 − 15 t + 100 where t is the time in seconds and d is the distance in meters.
1. At what time will the ball hit the ground?
2. You will get two answers because this is a quadratic equation. Do both make sense? (Explain in detail Why or Why not).
Click here to see answer by josmiceli(19441)

Question 1143025: X(x+5)=2

Click here to see answer by Boreal(15235)

Question 1143177: Show algebraically that the line y=kx+5 intersects the parabola y=x^2+2 twice for all values of k.
Click here to see answer by ikleyn(52750)

Question 1143177: Show algebraically that the line y=kx+5 intersects the parabola y=x^2+2 twice for all values of k.
Click here to see answer by MathLover1(20849)

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, 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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