Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 387441: It is possible for a quadratic equation to have no real-number solutions.
Solve
t2 + 10 = 6t
Click here to see answer by Alan3354(30993)

Question 387441: It is possible for a quadratic equation to have no real-number solutions.
Solve
t2 + 10 = 6t
Click here to see answer by ptaylor(2048)

Question 387441: It is possible for a quadratic equation to have no real-number solutions.
Solve
t2 + 10 = 6t
Click here to see answer by ewatrrr(10682)

Question 387440: Solve each formula for the indicated letter. Assume that all variables represent non-negative numbers.
A = A0(1 – r)2 for r
(A business formula)

Click here to see answer by stanbon(57377)

Question 387492: Rewrite with positive exponents. Assume that even roots are of nonnegative quantities and that all denominators are non zero.
4xy-2-2
Click here to see answer by Alan3354(30993)

Question 387322: It is possible for a quadratic equation to have no real-number solutions.
Solve
t2 + 10 = 6t
Click here to see answer by jim_thompson5910(28598)

Question 387541: Determine the nature of solution
y^2= 3/4y + 4/5
Click here to see answer by stanbon(57377)

Question 387654: how do you simplify the exspression r-3s5t2over r2st-2
Click here to see answer by rfer(12666)

Question 387648: how do you simplify the exspression a3b2 over a2b

Click here to see answer by rfer(12666)

Question 387649: how do you simplify the exspression 6x3over3x4 with a 2 above the whole problem
Click here to see answer by rfer(12666)

Question 387689: In solving the equation (x + 1)(x – 2) = 4, Eric stated that the solution would be
x + 1 = 4 => x = 3
or
(x – 2) = 4 => x = 6
However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning.
Click here to see answer by robertb(4012)

Question 387651: find the value of x in the equation 2sqrt(x)+20=15+3sqrt(x)
Click here to see answer by Jk22(389)

Question 387652: find the value of x the equation sqrt(x)+=sqrt(x+45)
Click here to see answer by rapaljer(4667)

Question 387729: Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) = 9.

Click here to see answer by edjones(7569)

Question 387915: What two positive integers multiplied together gives me 1440, and added together gives me 13?

Click here to see answer by stanbon(57377)

Question 387915: What two positive integers multiplied together gives me 1440, and added together gives me 13?

Click here to see answer by Edwin McCravy(8909)

Question 387926: Solve the quadratic equation. Show and explain each step in finding the solutions:
5x^2 + 2x = 3
This is what I have got when I have tried o do it
5x^2 + 2x = 3
Step 1: Write equation in standard form so one side equals 0 by adding -3 to both sides of equation
5x^2+2x-3=0
Step 2: Factor on left side of equation
(5x-1)(x+3) = 0
Step 3: Use zero-product rule
5x-1=0
x+3=0
Step 4: Solve equation x= 1/5 and x= -3

Click here to see answer by stanbon(57377)

Question 387914: The roots of the equation x^2+px+1=0 are a and b and the roots of the equation x^2-9x+q=0 are a+2b and 2a+b. Determine the value of p and q.

Click here to see answer by robertb(4012)

Question 387865: A charter flight charges its members $400 per year. But for evry new member in excessof 60 the charge for every member is reduced by $5. What number of members leads to maximum revenue?
Click here to see answer by robertb(4012)

Question 388044: how many seconds will the ball be 75 ft haigh after hit 2 feet off the ground and initial upward velocity of 90 ft / sec.
75h = 2 ho + 90 t - 16 t squared
Click here to see answer by solver91311(16897)

Question 388112: What is the intercept form of a quadratic equation? thank-you.
Click here to see answer by stanbon(57377)

Question 388164: the question reads: Acme inc. lays off 15% of workforce 270 people lose jobs
write an equation to describe the number of workers at acme inc. before the layoffs. let w the number of workers before the layoffs
Click here to see answer by rfer(12666)

Question 388148: if point-1.0 is on the line whose equation is y=2x+b what is the value of b

Click here to see answer by robertb(4012)

Question 388200: Referring to the figure, evaluate the expression shown when a = 3, b = 7, c = 2
Sqrt b^2-4ac

Click here to see answer by Fombitz(13828)

Question 388199: The revenue from selling x units of a product is given by y = -0.0002x2 + 20x. How many units must be sold in order to have the greatest revenue? (Find the x-coordinate of the vertex of the parabola.)

Click here to see answer by stanbon(57377)

Question 388217: can you please help me to solve this problem?
A typist would require 45 hours to type of manuscript. A second typist, who takes 2 min. more to each page, would require 60 hrs. How many pages of manuscript are there and how long per page does it take each typist?
Click here to see answer by Alan3354(30993)

Question 388245: What is the correct equation for the following:
Group goes to show, total ticket price $720, 4 people drop out, each ticket goes up $2. What is new ticket price?
My equation was 720/x + 720/(x-4) = 2, but I don't think that is correct!
Thanks!
Click here to see answer by edjones(7569)

Question 388353: x^2+32x-144

Click here to see answer by user_dude2008(1861)

Question 388366: how do you factor 3x^2-4x+7?
Click here to see answer by Edwin McCravy(8909)

Question 388366: how do you factor 3x^2-4x+7?
Click here to see answer by checkley79(3050)

Question 388218: here is another tricky question.

On a certain day two inspectors, A and B, employed by a factory, were inspecting a lot of manufactured articles. In the morning A ha inspected 1500 articles before B started in. during the remainder of the morning they inspected 4000 more, A working 4 hours altogether. In the afternoon A worked 4 hrs. and B 2 hrs., in which time they inspected 5200 articles. Find the average number of articles that each inspected per hour and the number of hrs. that B worked in the morning.

Click here to see answer by robertb(4012)

Question 388528: how do i solve this equation X6+5=0

Click here to see answer by Alan3354(30993)

Question 388399: I need help with the following quadratic equation:
1.Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).
Tickets=-0.2^2+12x+11

a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?
-0.2x^2+12x+11=0?
i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
It would be nice to have this broken down so I can understand it.
Thank so much for your time. :)
Click here to see answer by solver91311(16897)

Question 388219: another one...
The medians of the triangle are 6, 8, and 10. Find the sides.
Click here to see answer by Edwin McCravy(8909)

Question 388765: S^2+S+6
then how to solve in (S-S1)(S-S2)
Click here to see answer by Alan3354(30993)

Question 388764: S^2+S+6
Click here to see answer by Alan3354(30993)

Question 387545: give exact and approximate solutions to three decimal places for x^2+4x+4=1
Click here to see answer by scott8148(6628)

Question 388820: Which equation represents the line that passes through the points (-4,-1) and (-1,-7)?
Click here to see answer by rfer(12666)

Question 388819: Which equation could best be used to determine the value of f(3)for the function f(x)=2x+4?
Click here to see answer by stanbon(57377)

Question 388817: Please help me solve this problem thank you! Which Expression is equivalent to 5x{x+3)-2(x^2+3x-4)?
Click here to see answer by stanbon(57377)

Question 388895: Determine the roots of √2x2 +3x+√2=0 using the method of completing squares
Click here to see answer by stanbon(57377)

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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, 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