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

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Algebra: Rational Functions, analyzing and graphing

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Question 181493: Simplify each expression. Rationalize all denominators. Assume that all variables are positive.
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48351.jpg
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48361.jpg
Click here to see answer by Mathtut(3670)

Question 172463: Solve: (x^4)-(8x^3)+(19x^2)-(16x)+(34)=0... Given that 4-i is a root
Show your work please. I am completely lost. O_o
Click here to see answer by Fombitz(2113)

Question 181632: Choose the best way to rewrite http://i732.photobucket.com/albums/ww330/school_hard/IMG_49291.jpg to make it easy to graph using a translation.
Thanks for you helping
Click here to see answer by Mathtut(3670)

Question 181635: Simplify each radical expression. Use absolute value symbols as needed. thanks

http://i732.photobucket.com/albums/ww330/school_hard/unit%201/IMG_49341.jpg

http://i732.photobucket.com/albums/ww330/school_hard/unit%201/IMG_49351.jpg

http://i732.photobucket.com/albums/ww330/school_hard/unit%201/IMG_49361.jpg
Click here to see answer by eperette(173)

Question 181674This question is from textbook Algebra 2
: solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
6. -2x^2+10x-5=0This question is from textbook Algebra 2

Click here to see answer by josmiceli(3012)

Question 181672This question is from textbook Algebra 2
: Solve each equation by graphing. If exact roots cannot be found, state the consecutive intergers between which the roots are located.
I started the problem off but im not quite sure if its right, please help on this problem
x^2-2x=0
x=2
y=0
& im having trouble with graphingThis question is from textbook Algebra 2

Click here to see answer by josmiceli(3012)

Question 181670This question is from textbook Algebra 2
: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex
b)make a table of values that includes the vertex
c)use this information to graph the function
f(x)=x^2-x+5/4This question is from textbook Algebra 2

Click here to see answer by Mathtut(3670)

Question 181709This question is from textbook Alegbra 2
: Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers which the roots are located.
10) 4x^2-4x+1=0
For x i got 2
& i couldn't solve for yThis question is from textbook Alegbra 2

Click here to see answer by Mathtut(3670)

Question 181668This question is from textbook Algebra 2
: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex
b)make a table of values that includes the vertex
c)use this information to graph the function
18) f(x)=x^2+2x+1
This question is from textbook Algebra 2

Click here to see answer by Mathtut(3670)

Question 181707This question is from textbook Algebra2
: Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
8) 3x^2-x+8=0
This question is from textbook Algebra2

Click here to see answer by Alan3354(6092)

Question 181713: Hi,
Do you think that you could teach me how to set up and solve word problems such as the ones below? I am not good with word problems at all, and I would like to establish some kind of knowledge on how to set up and solve them. Thank you so much for taking your time to read this.
1.)A rectangular field beside a river is to be fenced. No fence is needed along the river bank. What are the dimensions of the field of greatest area which can be enclosed using 80 feet of fencing?
2.) A restaurant chain, in planning a new cafeteria, knows from experience that with a seating capacity of 100 or less they can expect a monthly profit of approximately $20.00 per seat. Within reasonable limits on size, they also know that if the seating capacity grows beyond 100, the monthly profit per seat decreases by 10 cents for each added seat. What seating capacity will give the maximum profit?
I tried to set it up like my teacher did:
x= maximum profit
100-x= number of seats
$20.00-.10= price per seat
Then I tried to solve:

After this point, I am lost on how to solve.
Click here to see answer by Alan3354(6092)

Question 181666This question is from textbook Algebra 2
: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex
b)make a table of values that includes the vertex
c)use this information to graph the function
6. f(x)= -3x^2+6xThis question is from textbook Algebra 2

Click here to see answer by stanbon(26295)

Question 181726This question is from textbook Algebra2
: Slove each equation by factoring
10) x^2-72-x
standard form x^2+x-72This question is from textbook Algebra2

Click here to see answer by vleith(1977)

Question 181725This question is from textbook Algebra2
: Slove each equation by factoring.
8) 5x^2-45x+90=0This question is from textbook Algebra2

Click here to see answer by Alan3354(6092)

Question 181725This question is from textbook Algebra2
: Slove each equation by factoring.
8) 5x^2-45x+90=0This question is from textbook Algebra2

Click here to see answer by solver91311(5072)

Question 181735This question is from textbook algebra 2
: Solve the equation by using the square root property .
4x^2 - 28(x)+49=5This question is from textbook algebra 2

Click here to see answer by Alan3354(6092)

Question 181741: Find all Asymptoes and Holes
f(x)=x^2-16 / x+4
Click here to see answer by stanbon(26295)

Question 181722This question is from textbook Algebra2
: Solve each equation by factoring
6) 12x^2-71x-6=0This question is from textbook Algebra2

Click here to see answer by Mathtut(3670)

Question 181729This question is from textbook Algebra2
: Solve each equation by factoring
18) 9x^2-6x+1
standard form 9x^2-6x+1This question is from textbook Algebra2

Click here to see answer by checkley77(7072)

Question 181939This question is from textbook Algebra2
: Solve each equation by using the method for your choice. Find exact solutions.
8. x^2+8x=0
Thanks for your help!This question is from textbook Algebra2

Click here to see answer by jim_thompson5910(13794)

Question 181944This question is from textbook Algebra2
: Complete parts a-c for each quadratic equation
a) find the value of the discriminant
b) describe the number and type of roots
c) find the exact solutions by using the Quadratic Formula
14) x^2+3x-3=0This question is from textbook Algebra2

Click here to see answer by jim_thompson5910(13794)

Question 181633: The formula http://i732.photobucket.com/albums/ww330/school_hard/IMG_49301.jpg
can be used to estimate the number of seconds t it takes a pendulum of lenth L meters to make one complete swing. Graph the equation on a graphing calculator. Then use the graph to estimate the values of t for pendulums of lengths 1.5 meters and 2.5 meters.
Click here to see answer by Fombitz(2113)

Question 182105: 1. Find solutions to x^2-x-12=0 The sum of the solutions is what
2. Find solutions to x^2+8x+15=0 The sum is what
3. Length of one leg of right triangle is 9m. The hypotenuse is 3m more than the other leg. Find the length of the hypotenuse

4. Ten more than the square of a number is seven times the number. Find all
Click here to see answer by eperette(173)

Question 182116: If f (x) = 1/(x + 2), simplify f (f (f (3))).
Click here to see answer by eperette(173)

Question 182135: How to solve f(x)=4x
f(x+h)-f(x)/h cannot = 0
Click here to see answer by tvandenberg(45)

Question 182117This question is from textbook Algebra2
: Complete parts a-c for each quadratic equation
a) find the value of the discriminant
b) describe the number and type of roots
c) find the exact solutions by using the Quadratic Formula
18) -12x^2+5x+2=0This question is from textbook Algebra2

Click here to see answer by ankor@dixie-net.com(6693)

Question 182306: A student was given the following problem:(4x^2-9) * [(6x - 9) / (4x^2 + 12x + 9)] . He states his answer to the problem as 3(2x -3). Is he correct? If not, explain why. What would you suggest he do to solve the problem?

Click here to see answer by stanbon(26295)

Question 182355: Simplify each expression. Rationalize all denominators. Assume that all variables are positive.

http://i732.photobucket.com/albums/ww330/school_hard/IMG_48371.jpg
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48381.jpg
Click here to see answer by nerdybill(2448)

Question 182349: Simplify each radical expression. Use absolute value symbols when needed.

http://i732.photobucket.com/albums/ww330/school_hard/IMG_48281.jpg
Click here to see answer by jim_thompson5910(13794)

Question 182396This question is from textbook Algebra2
: Complete parts a-c for each quadratic equation
a) find the value of the discriminant
b) describe the number and type of roots
c) find the exact solutions by using the Quadratic Formula
16) x^2-2x+5=0This question is from textbook Algebra2

Click here to see answer by solver91311(5072)

Question 182395This question is from textbook algebra2
: Complete parts a-c for each quadratic equation
a) find the value of the discriminant
b) describe the number and type of roots
c) find the exact solutions by using the Quadratic Formula
22)9x^2-6x-4=-5This question is from textbook algebra2

Click here to see answer by solver91311(5072)

Question 182394This question is from textbook algebra2
: Complete parts a-c for each quadratic equation
a) find the value of the discriminant
b) describe the number and type of roots
c) find the exact solutions by using the Quadratic Formula
20) x^2+4x+3=4This question is from textbook algebra2

Click here to see answer by solver91311(5072)

Question 182446: Simplify each expression. Rationalize all denominators. Assume that all variables are positive.
\
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48361.jpg

Click here to see answer by solver91311(5072)

Question 182553: Simplify each expression. Rationalize all denominators. Assume that all variables are positive
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48321.jpg
Click here to see answer by Alan3354(6092)

Question 182554: Simplify each expression. Rationalize all denominators. Assume that all variables are positive.
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48331.jpg
Click here to see answer by Alan3354(6092)

Question 182712: Given the function f(x) = -5x + 4 Find:
a. f(-6)
b. f(c)
c. f(x + h)
d. f(x + h) - f(x)
e. f(a + h) - f(a)/ h means over h

Click here to see answer by Mathtut(3670)

Question 182731: determine,without graphing, the number of solutions to each system of equations.
y= -3
6y-x=-38
Click here to see answer by Mathtut(3670)

Question 182770: I need help for finding the other zeros of this polynomial function:
f(x)= 2x^3 + 3x^2 - 39x - 20; 4
Click here to see answer by Alan3354(6092)

Question 182765: I need help on finding the other zeros of this polynomial function:
f(x)=x3 + 11x2 - 150x - 1512 ; -14
Click here to see answer by Alan3354(6092)

Question 182809: Help me with this problem please
x³+4x²/x²-16
Click here to see answer by stanbon(26295)

Question 182843This question is from textbook Mcdougal Littell Algebra 2
: i need help factorizingThis question is from textbook Mcdougal Littell Algebra 2

Click here to see answer by rapaljer(3622)

Question 182845This question is from textbook Mcdougal Littell Algebra 2
: please help me do this problemThis question is from textbook Mcdougal Littell Algebra 2

Click here to see answer by rapaljer(3622)

Question 182869: Suppose that x and y vary inversely, and x =7 when y-11. Write the function that models the inverse variation. Chaper 9 ISBN number is 0-13-125089-2
Click here to see answer by Mathtut(3670)

Question 182926: Please help me with this problem:
Divide:

Divide:
2x^(2)+5x–12/9x^(2)–16 ÷ 2x^(2)–7x+6/3x^(2)–x–4

Click here to see answer by stanbon(26295)

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