Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 430036: picture frame is 22 cm by 15 cm. If 198 cm2 of picture shows, what would the width of the frame if all sides are even?
Click here to see answer by jorel1380(2518)

Question 430059: write the quadratic function in the form ax^2 + bx + c and use fractions in your answer. f(x)= -2/3 (x+4)^2 + 4/3
Click here to see answer by dnanos(83)

Question 430115: t^2+4t-2=0
Click here to see answer by haileytucki(390)

Question 430117: how many real solutions to the equation x^2-7x+12
Click here to see answer by haileytucki(390)

Question 430134: how do i find A :
B = tan A
B is 2.667, but i dont know what the next step is.
after I find A, im supposed to use it in the equation :
a =[ -16 / v^2 (cos A)^2]x^2 + (tan A)x
so any help would be appreciated
Click here to see answer by Alan3354(31538)

Question 375999: 2x-3y=9
Click here to see answer by Keeping_it_real(3)

Question 430208: A projectile is thrown upward so that its distance above the ground after t seconds is h=-15t(squared)+390t. After how many seconds does it reach its maximum height?
Click here to see answer by Gogonati(817)

Question 430206: the owner of a video store has determined the cost C, in dollars, of operating the store is approximately C(x):2x(squared)-30x+570, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
Click here to see answer by ewatrrr(10682)

Question 430209: The profit that the vendor makes per day by selling x pretzels is given by the function P(x)=-0.002x(squared)+1.4x-150. Find the number of pretzels that must be sold to maximized profit.
Click here to see answer by nerdybill(7011)

Question 430231: I need help with a few Algebra problems, please.
If the discriminant in the quadratic formula is a perfect square, then the quadratic equatio will have _____________solution(s).
Solve the quadratic formula. Simplify the answer.
x^2 - 3x - 1 = 0
4x^2 + x - 1 =0
Thank you for your help!
Click here to see answer by stanbon(57984)

Question 430301: A student opens a math book to two facing pages. The product of the page number is 506. Find the first and second page number.
Please help
thanks
Click here to see answer by rfer(12731)

Question 430287: How to find the zeros of the function by graphing the function?
F(x)= x^2 - 25
Click here to see answer by rfer(12731)

Question 430287: How to find the zeros of the function by graphing the function?
F(x)= x^2 - 25
Click here to see answer by Alan3354(31538)

Question 430335: length of a rectangle is twice the width. the area is 18yd^2. find the lenght and width..
thanks
Click here to see answer by John10(267)

Question 430333: Write a quadratic equation in the varable x having the given number as solution.
Solution 1...only one solution
Click here to see answer by stanbon(57984)

Question 430443: hello, my problem here is as follows;
10+8q=3q^2
=(-3q)^2+8q+10
= -(-3q)+/- squared root of (-3)^2-4X(-3)X10/2X(-3)
{9-(-120)}
=-(-3) +/- squared root of 129/-6
= -21.5
i am stuck at one of these steps that i have done (i am unsure of which one)
because a negative integer cannot be square rooted.
please help me, thank you very much for your time and effort, it is greatly appreciated!
sincerely,
lost 15 year old
Click here to see answer by mananth(12270)

Question 430457: how do i simplify the problem the square root of (2x-3)squared
Click here to see answer by Gersid(33)

Question 430513: the area of a playground is 221yd^2.the width of the playground is 4yd longer than its lenght.find the lenght and width of the playground.
(hint include correct units in your final answer)
Click here to see answer by Alan3354(31538)

Question 430517: find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function.
y=4x^2+5x-1
Click here to see answer by stanbon(57984)

Question 430587: What is the x intercept and the y intercept for the following:
f(x) = x^2 - 3x + 1
Click here to see answer by ewatrrr(10682)

Question 430592: What are the exact solutions for the following to 3 decimal places:
(x + 7)^2 = 81
Click here to see answer by ewatrrr(10682)

Question 430636: What is the vertex, symmetry, and max/min value of f(x)for the following:
f(x)=-(x+9)^2 - 4
Click here to see answer by Gogonati(817)

Question 430706: a fountain thatis 5ft tall sprays water into the air with an upward velocity of 22ft/s. What function gives the hieght of the water in feet and seconds after it is sprayed upward? what is the maximum height ofthe water?

Click here to see answer by stanbon(57984)

Question 430675: Determine the number of real-number solutions to the equation from the given graph.

9^2+6x+1= 0, given the graph of y = 9^2+6x+1

Click here to see answer by Alan3354(31538)

Question 430719: Determine the two x-intercepts and the vertex in (x,y) form and explain how you
found these ordered pairs in a sentence
Click here to see answer by Alan3354(31538)

Question 430769: A projectile is launched upward from the ground. Its height s in feet above the ground after t seconds is given by
s= 320t-16t^2
a) After how many seconds in the air will it hit the ground? Round to the nearest hundredth.
b) During what time interval is the projectile more than 576 feet above the ground? Round to the nearest hundredth.
Click here to see answer by Alan3354(31538)

Question 430773: (x+1)^2/3+ (x+1)^1/3-2=0
Click here to see answer by vleith(2825)

Question 430903: 5. Graph the quadratic variation if g(x) varies directly with x2, and g(x) = 50 when x = 5.
(Points : 1)

Click here to see answer by htmentor(809)

Question 430968: Solve by the quadratic formula simplify answer:
4x^2+x–1=0
6x^2-2x-1=0

Click here to see answer by jorel1380(2518)

Question 431049: write a quadratic equation that has the solutions of -2 and 5
Click here to see answer by htmentor(809)

Question 431049: write a quadratic equation that has the solutions of -2 and 5
Click here to see answer by ewatrrr(10682)

Question 431049: write a quadratic equation that has the solutions of -2 and 5
Click here to see answer by richard1234(5390)

Question 431095: d=a*b+(1.6667a*c) solve for a; I asked this question awhile ago, no response. Is it unsolvable?
Click here to see answer by solver91311(17077)

Question 431083:
Click here to see answer by Gogonati(817)

Question 431169: What is x with x2-2x-13=0? And x2+12x-64=0? I've tried several times to find out what x is but neither of my solutions to these problems seem correct.
Click here to see answer by richard1234(5390)

Question 431243: How do you graph m² - 5m – 14 = 0 ?
Click here to see answer by stanbon(57984)

Question 431444: please help me with this equation y=4x^2-8x-16.
Click here to see answer by rfer(12731)

Question 431408: Find the vertex and x-intercept(s) of the function given below.
y=(x-4)(x+2)
A. Vertex: (-4,2); Intercepts: x = 3, -3
B. Vertex: (1,-9); Intercepts: x = 4, -2
C. Vertex: (1,9); Intercepts: x = -4, -2
D. Vertex: (1,-5); Intercepts: x = -4, 2

Click here to see answer by rfer(12731)

Question 431520: find the roots of each equation using the quadratic formula.
6x^2+12x=-5
Click here to see answer by Edwin McCravy(8999)

Question 431617: find the roots of quadratic equations by factoring, x^2-6x+8
Click here to see answer by jorel1380(2518)

Question 431681: x^2-10x+25 name how many roots and what kind
Click here to see answer by rfer(12731)

Question 431714: Xsquared+10x=18
I tried putting the 18 on the other side, to make it equal 0, but then there are no numbers that are multiples of -18 that add to 10?
I need the 2 possible solutions (numbers) to this problem.
Click here to see answer by jorel1380(2518)

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