Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

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Tutors Answer Your Questions about Rational-functions (FREE)


Question 515130: Hi! My question: find the domain for f(x) = 6th root of 1-4x^2. There is nothing this complex in my entire book!! Where do I start? Do I make a chart and start plugging numbers? I was praying for an odd root!! ha-ha Can you please tell me step by step what to do?
You are all life savers!
Thanks,
Tracy

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Question 515145: Find the vertex, line of symmetry, and maximum or minimum value of f(x)1/5(x+1)^2+1
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Question 514992: Write the equation of the line containing the given point and perpendicular to given line. (0,6) 3x+2y=7
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Question 514557: I always end up with the slope upside down because I get confused which one equals x or y. g(x), or x. Like if the problem is f(6)=7 and f(3)= 2 I get confused on which one is x and y. Is the slope 3/5? Or 5/3? How can I remeber which one it is?
Click here to see answer by lwsshak3(6456) About Me 

Question 514722: x^2 + x - 2
____________
x^2 + 3x - 4

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Question 513811: solve the equation:
(3a/(2a+1))- (4/(2a-1)) = 1
I kept getting a radical for the answer and the section is called rational equations, so I don't think it's right. Can someone please help me?

Click here to see answer by lwsshak3(6456) About Me 

Question 515574: I need assistance with a problem that I am having trouble with.
Determine the nature of the solutions of the equation.
y^2 = 4/5y + 4/7
y^2 - 4/5y -4/7 = 0
a = 1
b = -4/5y
c = -4/7
I am completely lost as to how to work this problem.
Thank you.
Sincerely,
Christine Fitzgerald

Click here to see answer by Alan3354(30935) About Me 

Question 515573: I am having trouble trying to solve this problem. Would someobdy be able to assist me?
Solve - 3x^2 - 7x - 5 = 0
a. The solutions(s) is/are x=?
b. Find the x-intercepts of f(x) = 3x^2 -7x - 5.
1/3 x 3x^2 - 7/3x - 5/3 = 0
x^2 - 7/3x - 5/3 = 0
x^2 - 7/3x - 5/3 this is where I get lost.
Thank you.
Sincerely,
Christine Fitzgerald

Click here to see answer by drcole(72) About Me 
Question 515573: I am having trouble trying to solve this problem. Would someobdy be able to assist me?
Solve - 3x^2 - 7x - 5 = 0
a. The solutions(s) is/are x=?
b. Find the x-intercepts of f(x) = 3x^2 -7x - 5.
1/3 x 3x^2 - 7/3x - 5/3 = 0
x^2 - 7/3x - 5/3 = 0
x^2 - 7/3x - 5/3 this is where I get lost.
Thank you.
Sincerely,
Christine Fitzgerald

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Question 515884: Simplify 27-2/3
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Question 516544: is -3x+y=4
x-1/3y=1 independent, depehndent, inconsistent or consisten

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Question 516565: is 2y=5x+6
-10+4y=8 independent, depehndent, inconsistent or consisten

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Question 516681: please help me solve this problem
Graph f(x)= 1/2 x^2

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Question 516783: i would like a deeper explination of point-slope form with a question like: write and equation of th line that passes through (1,-6) amd is perpendicular to the line y=3x+7 thank you verry much this is greatly appreciated
Click here to see answer by oberobic(2304) About Me 

Question 517068: A man walking 6 miles in 5 hours has an average speed of what?
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Question 517068: A man walking 6 miles in 5 hours has an average speed of what?
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Question 517072: Find f(x)=x² when x=0.
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Question 518161: PLEASE be so kind as to help with this.
w + x + y + z= 7
2w -x + y -z = -10
w + x -2y + z = 16
-w + x -y + 2z = 15

Click here to see answer by richwmiller(9132) About Me 

Question 517378: Using transformation to graph a rational function
Explain how to use the graph of f(x)=1/x^2 to sketch the graph of g(x)=-1/(x-3)^2-9. Give the coordinates of the points on the graph of g that are found by transforming the points (-1,1) and (1,1) from the graph of f.
Please help me understand this question.

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Question 516724: Find the Domain of the given functions:
x/x^2+3x
and
√(X+9)/(x+4)(X-8)

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Question 516379: Determine algebraically whether the function is even, odd or neither even nor odd.
f(x)=-8x^5-6x^3

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Question 516458: Suppose that y varies inversely as the square of x, and that y= 6 when x=5. What is y when x=6? ( Round off answer to 2 decimal places).
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Question 518744: Susan had $20,000 to invest. She decided to invest part of it in a high-risk bond that yields 8.2% annual interest, and the rest in a savings bank yielding 3.9% per year. What least amount should she invest in the high-risk bond if she wants to receive at least $1,000 interest per year?
Click here to see answer by mananth(12270) About Me 

Question 518747: How can I solve and graph a wide parabola as y=%281%2F4%29%28%28x%29%28x%29-4x%2B4%29%2B4
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Question 519038: solve
v^2-6v-7=0

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Question 519045: We are supposed to solve for x.
The problem is: 1/x(squared) - 7x + 10 = x/x-5 + 1/x - 2
(the / are fractions)
I have already multiplied the denominators and simplified it and got 6=-3x(squiared), but I think that its wrong!

Click here to see answer by scott8148(6628) About Me 

Question 519918: Ticket Sales
Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by quadratic equations.
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).

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




2. Describe what happens to the tickets sales as time passes?




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




4. How many solutions are there to the equation ? How do you know?





5. Use the quadratic equation to determine the last day that tickets will be sold
Write your answer in terms of the number of days after ticket sales begin.
(Note: that we do not use partial days or negative sales)








So day will be the last day.




6. 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?




7. Determine the number of tickets sold on the 52 day






8. Determine the number of tickets sold on the 1st day







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




10. How many tickets will be sold on the day when the peak or low occurs?
Substitute x = ? into original model:




tickets are sold on the busiest day.




11. How many tickets will be sold on day 26










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Question 519951: i need help solving this problem 3x+1/3x-15 - x^2-9/x^2-25
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Question 520159: Create a graph relating two variables in which time is NOT one of the variables. Write a story to accompany your graph. Thanks for the help!
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Question 520136: Simplify by removing factors of 1
x^2-9x+14/x^2+7x-18

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Question 520133: Find the LCM
14c^8b^6,2c^4b^8,21c^3b^7

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Question 520627: write the solutions of the inequality

x^2-6x+9
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Question 520871: Please help!!! I keep getting 0.2123 seconds but not positive that this is correct...could someone show me the steps? Thank you!!!
The period of time the pirate ship ride at a carnival takes to complete one cycle swinging to and fro is represented by the formula below for L feet long and T seconds. Find to the nearest hundredth of a second the period of time it takes the ride to swing one cycle if the ride hangs 200 feet.
T=3π √(L/940)

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Question 520895: Could someone please help. I don't understand.
"which of the following points are on the graph of f(x) = 3x^2 -5x -2"
a. (1,-4) b.(2,0) c. (0,2) d. (-3,40)

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Question 520899: Thank you for helping me. How do I solve this using the FOIL method?
3x (2x-1)(2x + 1)

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Question 522226: I would really appreciate you help.
I have to write the equation in vertex form and tell whether it opens up or down.
1. The vertex of the parabola is the (3,-2). Point F (-2,-8) lies on the graph of the parabola.
Thank you so much

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Question 522222: Please help! I would really appreciate it.
I have to write these equations in vertex form and tell whether they open up or down.
1.The vertex of the parabola is the (2,5)Point T (3,0) lies on the graph of the parabola.
2.The vertex of the parabola is the (-3,-5. Point G (1,6) lies on the graph of the parabola)

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Question 522366: solve for x:
4/7x-3=5
-1/6x+2/3=1/4
0.09x+0.11(11000-x)=1150



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Question 522402: Please help me with this! I don't know how to do this.
I have to write this equation in vertex form.
The vertex of the parabola is the origin. Point P (1,7) lies on the graph of the parabola.
Thank you so much.

Click here to see answer by stanbon(57205) About Me 

Question 522403: Please help!
I have to write this equation in vertex form.
The vertex of the parabola is the origin. Point W (4,-5) lies on the graph of the parabola.

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Question 522562: What are 3 unequal positive rational numbers a, b, & c for which a+b+c=1/(a+b+c)
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Question 522629: Simplify by removing factors of 1
q^2-1/(q+1)^2

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Question 522625: Simplify by removing factors of 1
x^2-9x+14 / x^2+7x-18

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Question 522695: Please help me solve this :+%28-1%29%2F%28b%5E2-4%29-%28-2%29%2F%28b%5E2-4b-12%29+
Here is what I have I'm not sure if I simiplfied to little or to much my LCD is (b-2)(b+2)(b-6)
%28-1%29%28b-6%29%2F%28b-2%29%28b%2B2%29%28b-6%29-%28-2%29%28b-2%29%2F%28b-2%29%28b%2B2%29%28b-6%29
I'm left with this after I multiply by LCD and do the subtraction -b+6+2b-4= b+2
%28b%2B2%29%2F%28b-2%29%28b%2B2%29%28b-6%29
Any help is very much appreciated.

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Question 522705: Please help I just want to make sure that I answered this properly the expression is : %284y%29%2F%283%29-%28y%29%2F%284%29-%2813%29%2F%282%29
My LCD is 12 so I mulitply everything by 12 and after I combine like terms I'm left with %2813y-78%29%2F%2812%29
Thank you for any help in this

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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