Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 613206: why do we put the graph upward when a is positive and downward when a negative?
Click here to see answer by scott8148(6628)

Question 613262: Given the following revenue and cost functions, find the x-value that
makes profit a maximum. (Re2all that profit equals revenue minus cost.)
R(x) = 55x - 2x^2; C(x) = 21x + 98
Click here to see answer by ewatrrr(10682)

Question 613310: How do I find the solutions when given:
y=x2+4.6+4.7
and y=3.3x-3.7
Click here to see answer by stanbon(57966)

Question 613389: A high school track coach determines that his fastest long distance runner runs 2 miles per hour faster than his slowest runner. Compared to the faster runner, the slower runner takes a half hour longer to run 12 miles.
a. Find the average rates of both runners.
b. Find the time for both runners to run 12 miles.
Click here to see answer by ankor@dixie-net.com(15746)

Question 613258: Given the following revenue and cost functions, find the x-value that
makes profit a maximum. (Re2all that profit equals revenue minus cost.)
R(x) = 55x - 2x^2; C(x) = 21x + 98

Click here to see answer by jsmallt9(3296)

Question 613572: How do I find the vertex for x^2+6x+1?
Click here to see answer by lwsshak3(6755)

Question 613578: solve 2x^2-3x=7 using quadratic function and rounding to the nearest tenth
Click here to see answer by richwmiller(9144)

Question 613616: Solve
2x^2 + 3x − 5 = 0

Click here to see answer by scott8148(6628)

Question 613649: a sqaure mirror has sides measuring 2 ft less than the sides of a square painting. if the difference between their areas is 32 ft^2, find the lengths of the sides of the mirror and the painting. the area of theb painting (-32)= the area of the mirror
Click here to see answer by Theo(3504)

Question 613588: 5x+9x+2=0
Click here to see answer by radh(108)

Question 613669: to solve by completing the square, what value should you add to each side of the equation? x^2+20x=-4
Click here to see answer by Theo(3504)

Question 613730: I am stumped, I just do not know the steps, I would greatly appreciate any help on this. Thank you!
Solve using the quadratic formula. Then use a calculator to approximate, to three decimal places, the solutions as rational numbers.
46.
x^2 + 6x + 4 = 0

Click here to see answer by jim_thompson5910(28715)

Question 613619: Solve N = 3 pi √ 1/p for p.
Click here to see answer by ankor@dixie-net.com(15746)

Question 613847: City officials are putting up a rectangular garden around a memorial site with the length of (4x+7) and a width of (3x+5)

Part A: Determine the area of the memorial site in terms of x. Write your
answer as a trinomial and include units. Show or explain your work.
Part B: The outside edges of the garden form a rectangle whose length and
width are proportional to the sides of the memorial site, increased
by a scale factor of 3. Determine the lengths of the outside edges of
the garden. Write your answer in simplest form.
Part C: Determine the area of the garden in terms of x. Write your answer in
simplest form. Show or explain your work.
I understood part a and b , however, when I looked up the answer to see if I was correct for part C, it gave me a totally different answer. Would you please help me understand how to do part C?
Click here to see answer by scott8148(6628)

Question 613886: Please help with this vertical/projectile motion question:
Find the time it takes for a rocket launched from a 35-foot-high platform with an initial velocity of 30 feet/sec. to reach the ground.
Using many different methods, I came up with 2.7 seconds. Is this right, and if not, can you show me the right way of doing it and getting the right answer?
Thanks for your time!
Click here to see answer by stanbon(57966)

Question 613935: what is the quadratic equation in standard form for the following root? 1,-6
Click here to see answer by josmiceli(9817)

Question 614061: factor the polynomial expression x2-49
Click here to see answer by nerdybill(7003)

Question 614063: factor the polynomial expression x2-100
Click here to see answer by nerdybill(7003)

Question 614152: x2-12x+11=0
Click here to see answer by scott8148(6628)

Question 614058: factor the polynomial expression x2-6x-7
Click here to see answer by jsmallt9(3296)

Question 614330: What is ratio of rectangle A at 16 - x^2 to Rectangle B at x^2 + 2x - 24?
Click here to see answer by Earlsdon(6294)

Question 614370: what are the solutions to x2-5x-24=0

Click here to see answer by rapaljer(4667)

Question 614524: I have been requested to factorize the following equation for a calculus calculation I am struggling with.

Y = x^3 - 3x^2 - 9x - 5

I begun in the following manner.

0=x(x^2-3x-9)-5
5=x(x^2-3x-9)....

....From that point I failed to understand my calculation.

Your assistance will be highly appreciated.

Click here to see answer by stanbon(57966)

Question 614912: a car left an intersection and travel
led east at 32 mph. Another car left the same intersection at the same time and traveled west at 48mph. how long will it take before the cars are 160 miles apart?
Click here to see answer by math33(31)

Question 614975: write a quadratic equation with the given solutions. Type the equation in standard form. ax^2+bx+c=0
the soultions are -11,1.
Click here to see answer by Theo(3504)

Question 614990: a garden in the form of a square is surrounded by a walkway 2m wide. What are the dimensions of the garden if the area of the walkway is 800 square metres?
Click here to see answer by nerdybill(7003)

Question 614981: x^2+(x+1)^2=100
Click here to see answer by nerdybill(7003)

Question 614529: 2xsquared+20=13x
Click here to see answer by asuar010(324)

Question 614272: x^2-7x-44=0
Click here to see answer by asuar010(324)

Question 615083: Write a quadratic equation in the variable x having x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0 solution: 3 only solution
Click here to see answer by stanbon(57966)

Question 615082: Solve for x
x^2-12x+35=15
Click here to see answer by stanbon(57966)

Question 615152: Need help finding the ho on this quadratic word problem the answer I tried to figure out is 6.74 seconds. The word problem is For an object dropped from a height ho above the ground,its height after t seconds is given by h(t)=-16t^2+ho,where H is measured in feet. A ball is dropped from the top 96 foot tall building. How long will it take to fall to the ground? How long will it take to fall half of the distance to ground level?
Im not really good with word problems

Click here to see answer by lwsshak3(6755)

Question 615208: I understand plugging in the number to get the value of x but what if you can't square root it or the square root is negative what would be your answer.
Click here to see answer by Alan3354(31518)

Question 615350: x2-5x-14=0 solve in completing the square in quadratic equation
Click here to see answer by nerdybill(7003)

Question 615350: x2-5x-14=0 solve in completing the square in quadratic equation
Click here to see answer by unlockmath(1614)

Question 615366: The height, y, of a ball tossed into the air can be represented by the equation y=-x^2+10x+3, where x is the elasped time. How many seconds does it take the ball to reach a height of 28 feet?

Click here to see answer by nerdybill(7003)

Question 615351: A farmer decides to enclose a rectangular field using the side of a barn as one side of the rectangle. The figure below shows the fenced area he wants to make.
If he has 2800 feet of fencing, what values of x and y will maximize the enclosed area?
x = ? feet
y = ? feet
Click here to see answer by jsmallt9(3296)

Question 615833: The width of a rectangle is
(3x − 1)
in. The length of the rectangle is twice the width. Find the area of the rectangle in terms of the variable x.
Click here to see answer by dragonwalker(72)

Question 615944: What are the solutions go 4x^2+5=-67?
Click here to see answer by JBarnum(2044)

Question 615944: What are the solutions go 4x^2+5=-67?
Click here to see answer by jsmallt9(3296)

Question 616151: Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2).
Click here to see answer by ewatrrr(10682)

Question 616219: the rectangle is represented by x2-5x-24. if the width of the rectangle is represented by x-8, express the length of the rectangle as a binomial

Click here to see answer by fcabanski(889)

Question 616215: For the parabola passing through the points (1,1) (3,13) (5,49)
What is the equation in the form y=ax^2+bx+c?
What is the vertex of the parabola?
Click here to see answer by ewatrrr(10682)

Question 616310: What do the roots, (-7,0) (-3.0)(1,0)(5,0) of the equations: x^4+4x^3-34x^2-76x+105 tell me besides they are the x intercept?
Click here to see answer by jim_thompson5910(28715)

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