Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 230477: Media Services charges $40 for a phone and $20 a month for its economy plan. Find a model that determines the total cost c(t), of operating a media services phone for t months.
(I'm not sure what this is covered under to it is algebra though)
Click here to see answer by texttutoring(324)

Question 230601: Need to find all real solutions for problems with fractional exponents and do not understand. Problem I have is x2/3 - x1/3 -20 = 0
Do not even know where to begin with the fractions, can you help?

Click here to see answer by Alan3354(31538)

Question 230600: Having trouble understanding how to factor 4w^-25=0
I know how to factor out if there are three sets of numbers but with only two I cannot seem to get 4w^-25 to factor.
Click here to see answer by texttutoring(324)

Question 230711: For each function,(a) determine whether the graph opens upward or downward,(b) find the axis of symmetry,(c)find the vertex,(d)find the y-intercept, and (e)graph the function.
g(x)=(x-1)to the power of two

I tried putting the equation in standard form which would come out as x to the power of two plus x plus 1. I know what "a" is and "c" but I can't seem to find out "x" because the answer I came out with, which was 1/2, is different form the book which does not give an explanation.
Click here to see answer by stanbon(57984)

Question 230754: Combine like terms to obtain an equivalent equation of the form ax = b.
18x - 9 + 2x = 13x - 4
Click here to see answer by unlockmath(1614)

Question 230806: How do you solve this quadratic equation 2x^2+8x-1=0?
Click here to see answer by Alan3354(31538)

Question 230842: 3t^2-48=0
Click here to see answer by rfer(12731)

Question 230818: How so you solve this equation X^4+3x^3-8x-24=0?
Click here to see answer by Alan3354(31538)

Question 230758: Combine like terms to obtain an equivalent equation of the form ax = b. 18x - 9 + 2x = 13x - 4
Click here to see answer by rfer(12731)

Question 230966: 1. Find k to make this trinomial a perfect square:
xsquare + 3x + k

Thank you very much for your help. I am lost with this homework.
Click here to see answer by user_dude2008(1861)

Question 231018: Place the following equation in the standard form of a quadratic equation.
6 + 4/x-1 = 5/x-3
Click here to see answer by edjones(7569)

Question 231091: Will someone please help me:
Solve Problems 5, 6, and 7 by completing the square, leaving the results in simplest radical form. Check.
Show Your Work.
Problem #5: x square - 4x = 60
Problem #6: 3x square - 6x = 3
Problem #7: x square + 18x-17 = 0
Thank you very much!
Click here to see answer by Alan3354(31538)

Question 231170: Solve problem by completing the square, leaving the results in simplest radical form Check.
I am confused with this one:
3xsquared - 6x =3
divide by 3
x squared - 3x = 9
x squared - 2x = 1 (Add one to both sides)......x squared -2x + 1 = 4
now I am lost....please help me! Thanks
Click here to see answer by unlockmath(1614)

Question 231260: I am drawing blanks on remember how to factor and check answers to make sure they are correct. 2 examples are 4x^2=12x and 13x^2-66x+5=0..could someone please help me remember how to do this!!!
Click here to see answer by checkley77(12569)

Question 231301: -3(x+2)^2=-18
Click here to see answer by rfer(12731)

Question 231511: Solve by applying the Quadratic Formula. Show the work, so I can do my other problems. Thank you in advance.
Q: 25b^2-30b-7=0
Click here to see answer by Alan3354(31538)

Question 231510: For the equation x+2y-4=0, what does the graph and the math required to obtain the solution look like?
Click here to see answer by rfer(12731)

Question 231583: 4n2 + 43n + 63 = ?
I cant figure this problem out can you help me ?
Click here to see answer by solver91311(17077)

Question 231570: evaluate 100^(-1/2)
Click here to see answer by rfer(12731)

Question 231571: evaluate (-125)^(-1/3)
Click here to see answer by rfer(12731)

Question 231646: how do you solve the equation: x² + 24 = 14x
Click here to see answer by rfer(12731)

Question 231646: how do you solve the equation: x² + 24 = 14x
Click here to see answer by jsmallt9(3296)

Question 231652: how would you put an equation that is like y=ax+bx+c into the format y=a(x-h)²+k?
Click here to see answer by rfer(12731)

Question 231652: how would you put an equation that is like y=ax+bx+c into the format y=a(x-h)²+k?
Click here to see answer by solver91311(17077)

Question 231745: Please someone help me with these. I am not sure I am doing them right.
Solve:
1. y square = 49
The square root of 49 is _7 and + 7
y = -7 and + 7
2. (z + 3) squared = 36
z squared + 9 = 36
z squared= 36-9=27= (3x3x3)
=============================
~~~~~~~I can't go on....please help me
3. x squared + 18x - 17 = 0
x^2+18x-17=0
delta= (18)^2-4(1)(17)=256
square root of delta will be:16
therefore we will have two solutions
x= (-19-16)/2 = -35/2
y= (-19+16)/2= -3/2
Thank you very much. Carrie
Click here to see answer by stanbon(57984)

Question 231769: Salley and Bob are eloping but Salley is locked in her 3rd floor bedroom. Their only hope of a wedding is that Salley lets down her 3 story long hair and in the hope the weave holds as he climbs up. Or bob can throw her a rope and let her climb down. They attempt teh rope first. The window is 28ft up and Bob releases the rope with an initial velocity of 30ft/s. the release point is 5 feet above the ground. Will the rope reach the window? Explain using the discriminant. h=-16t squared + v subzero t + s
Click here to see answer by Alan3354(31538)

Question 231943: the sum of two numbers is 27 and their product is 152, find the numbers
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Question 231943: the sum of two numbers is 27 and their product is 152, find the numbers
Click here to see answer by checkley77(12569)

Question 231945: The sum of the squares of three consecutive integers is 302, find the numbers
Click here to see answer by Alan3354(31538)

Question 231942: The length of a rectangular land is 12m longer than the width. If the area is 864m2, find it's width.
Click here to see answer by checkley77(12569)

Question 231946: Find two consecutive integers, such that the sum of their squares is 321
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Question 232012: Use the quadratic formula to determine the exact solutions of each quadratic equation:
-5m^2 = -6
Click here to see answer by ankor@dixie-net.com(15747)

Question 232014: Use the quadratic formula to determine the exacty solutions of each quadratic equation. Then approximate each solution to the nearest hundredth.
y^2 - 5 = 0

5w^2 = 2w + 1
Click here to see answer by ankor@dixie-net.com(15747)

Question 232060: 30x^2-7x-2 BY FACTORING VERY CONFUSING
Click here to see answer by stanbon(57984)

Question 232065: 15x^-13x-6 solving quadratic equations by factoring
Click here to see answer by Robb(9)

Question 232062: Complete the square. Then write the trinomial square in factored form.
x^2 + 5/2x
Click here to see answer by checkley77(12569)

Question 232134: 9/x- 2= 5/x^2
Click here to see answer by solver91311(17077)

Question 232088: what is the solution to the problem 3 -3(x-2)
Click here to see answer by checkley77(12569)

Question 232178: a kite is flying on 50ft string. its vertical distance from the ground is 10 ft more than its horizontal distance from the person flying it. assuming that the string is being held at ground level. find its horizontal distance from the person and its vertical distance from the ground.
Click here to see answer by Alan3354(31538)

Question 232009: Use extraction of roots to determine the exact solutions of each quadratic equation:
(2x-1)^2 = 9
Click here to see answer by ankor@dixie-net.com(15747)

Question 232290: Story problem:
A tennis ball is hit upward with a velocity of 48 feet per second. Ignoring the height of the tennis player, how long does it take for the ball to fall to the ground?
Formula:
h(t)= v0t-16t^2
h(t) is height of an object (feet)
v0 is object's initial velocity (feet per second)
t is time (seconds)
so far i have 3 seconds but that is just one of the roots of the quadratic, not time.
??????
Thanks.
Click here to see answer by stanbon(57984)

Question 232370: Please help me solve the quadratic equation by factoring:
6y^2 - 54 = 0
Click here to see answer by jsmallt9(3296)

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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, 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