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

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Question 185459: Show by counterexample that (x+y)^-2 and x^-2+y^-2 are not equivalent. please help
Click here to see answer by jim_thompson5910(13794)

Question 185457: The area of a right triangle is 250 in^2. Find the lengths of its legs if one leg is 5 inches longer than the other. (use the five step method.
Please help me
Click here to see answer by checkley77(7072)

Question 185463: One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together?
Click here to see answer by ankor@dixie-net.com(6693)

Question 185709This question is from textbook
: how would you answer 3x^3/12x^2+9xThis question is from textbook

Click here to see answer by nerdybill(2448)

Question 185770: Could someone please help me graph this function:
Question: f(x)= 3 - 4x
Thanks in advance.
Click here to see answer by Alan3354(6097)

Question 185758:
Click here to see answer by Edwin McCravy(2922)

Question 185755:
Click here to see answer by Edwin McCravy(2922)

Question 185803: rewrite without rational exponents
16 5/7
Click here to see answer by checkley77(7072)

Question 185802: rewrite without rational exponents
16 5/7
Click here to see answer by jim_thompson5910(13794)

Question 185936: I seem to be having problems with the graphing portions. I never know what the graph is going to look like based on the equation. For example, y=(3x^2+4x+4)/(x^2-5x-6). With this problem, I need to find the x-intercepts, the vertical asymptote and (if applicable) the horizontal asymptote. Could you please help me solve this problem? Is there a trick to knowing what general shape your graph will have depending on the equation?
Thank you for your time.
Click here to see answer by stanbon(26297)

Question 185956: Could someone please help me find the equation of the line that goes through the points (-4,2) and (-3,-7). I am terrible at graphing and equations and in need of help. Thanks for your help in advance.
Click here to see answer by Alan3354(6097)

Question 185955: Could someone please help me with step by step instructions on how to graph this function. The question reads: g(x)=x^+3, where x is an integer and -2<= x <=2. I cannot figure this out and in desperate need of step by step instructions. Thanks in advance for your help with this question.
Click here to see answer by Alan3354(6097)

Question 186130: Find the equation of each line in standard form satisfying the conditions given.
through (-3, -1), slope = 1

Click here to see answer by checkley77(7072)

Question 186131: Find an equation of the line in function notation through (2, -6) and perpendicular to -3x - 5y = 2.

Click here to see answer by jojo14344(1483)

Question 186206: Please show work :)
square root of 18 using the product property
Click here to see answer by Mathtut(3670)

Question 186299: I'm not sure which section this would go under...see, I'm in algebra 3. On my review a question says to write the function
f(x)=x^2 + 18x + 77
in standard form. The answer given is f(x)=(x+9)^2 -4.
I understand the (x+9)^2 part, but for some reason I am stumped about the -4. If someone could please help I'd appreciate it greatly. Thanks so much!
Click here to see answer by stanbon(26297)

Question 186306: state the inverse of:
for x is less than or equal to 0
please show work. i know the answer is
thank you thank you thank you!
Click here to see answer by stanbon(26297)

Question 186303: Ok...I'm terrible at the whole finding zeros...if you could give some tips that would be LOVED! Here's the question:
find all real zeroes of the polynomial function
f(x)=x^3 + 9x^2 - 4x - 36
and determine the multiplicity of each
Some help is greatly appreciated! Thanks!!!
Click here to see answer by ankor@dixie-net.com(6693)

Question 186324: Forensic scientists use the folloiwng function to find the height of a woman if they are given the height of her tibia bone t in centimeters.
H(t) = 2.72t + 61.28
Find the height of a woman whose tibia measures 35 centimeters
Click here to see answer by checkley77(7072)

Question 186432: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value.
f(g(0))
g(f(4/5))
thanks for you help.. xo
Click here to see answer by jim_thompson5910(13794)

Question 186434: Find the inverse of each function. Is the inverse a function?

f(x)=3x+2
f(x)=x^2-5
Click here to see answer by stanbon(26297)

Question 186434: Find the inverse of each function. Is the inverse a function?

f(x)=3x+2
f(x)=x^2-5
Click here to see answer by jim_thompson5910(13794)

Question 186431: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value.

g(f(-1))

f(g(2))
g(f(0))

Click here to see answer by stanbon(26297)

Question 186400This question is from textbook
: State the possible number of positive real zeros, negative real zeros & imaginary zero of this function
6. F(x)= 5x^3+8x^3-4x+3This question is from textbook

Click here to see answer by kev82(145)

Question 186550This question is from textbook algebra and trigonometry

: This question is from textbook algebra and trigonometry

Click here to see answer by Alan3354(6097)

Question 186580This question is from textbook alegbra2
: Solve each equation. State the number and type of roots.
4. x^2+4=0This question is from textbook alegbra2

Click here to see answer by jim_thompson5910(13794)

Question 186433: Find the inverse of each function. Is the inverse a function?

f(x)=(x+2)^2-4

f(x)=4x^3-1
Click here to see answer by feliz1965(151)

Question 186687: 1-13/x+36/x^2=0
Click here to see answer by jim_thompson5910(13794)

Question 186688: 1+3/x=5/x^2
Click here to see answer by jim_thompson5910(13794)

Question 186689: x^-4-3x^-2-4=0
Click here to see answer by jim_thompson5910(13794)

Question 186699: X/2-X+2/X-5=0
Click here to see answer by uday1435(57)

Question 186429: Let f(x) = x2 + 5 and g(x) = x – 7. Perform each function operation. Then find the domain of each.

f(x)/g(x)

f(x)times g(x)

Click here to see answer by uday1435(57)

Question 186722This question is from textbook algebra2
: I need help on this problem.
State the possible number of positive real zeros, negative real zeros, and imaginary zero of this function.
7. r(x)= x^5-x^3-x+1This question is from textbook algebra2

Click here to see answer by vleith(1977)

Question 186789: I have got a questions are sqrt(625) and sqrt(48) rational or irrational?
Click here to see answer by checkley77(7072)

Question 186805This question is from textbook saxon algebra 2
: Simplify the expression.
x over x^2+2x-3 subtracting 1 over x^2+2x-3
I worked it out to: 1 /x-3
Am I correct?This question is from textbook saxon algebra 2

Click here to see answer by scott8148(3385)

Question 186941This question is from textbook Algebra 2
: List all of the possible rational zeros of this function.
12. f(x)=x^3+6x+2This question is from textbook Algebra 2

Click here to see answer by jim_thompson5910(13794)

Question 187028: Directions: Solve each equation. State the number and type of roots.
Problem: -5x-7=0
I have: -5x-7=0
+7+7
-5x/-5=7/-5
x=-1.4

Click here to see answer by stanbon(26297)

Question 187057This question is from textbook algebra2
: List all the possible rational zeros of this function.
13. h(x)=x^3+8x+6 This question is from textbook algebra2

Click here to see answer by jim_thompson5910(13794)

Question 187061This question is from textbook algebra2
: List all the possible rational zeros of each function
14) f(x)= 3x^4+15
p=(+or-)1: (+or-)15: (+or-)3: (+or-)5:
q= (+or-) 3 "
if q isn't right then, how would you know what is q? This question is from textbook algebra2

Click here to see answer by jim_thompson5910(13794)

Question 187067This question is from textbook algebra2
: List all the possible rational zeros of each function
15. n(x)=x^5+6x^3-12x+18
p= (+or-)2; (+or-)9; (+or-)3; (+or-)6 (+or-)18
q= (+or-) 1
1/2, 1/9, 1/3, 1/6, 1/18
Rational Zeros
1,9,3,6,18

I'm wondering if i solved this problem correctly?This question is from textbook algebra2

Click here to see answer by jim_thompson5910(13794)

Question 187071: a^+2a+1/2a^+3a+1
Click here to see answer by Alan3354(6097)

Question 187071: a^+2a+1/2a^+3a+1
Click here to see answer by jim_thompson5910(13794)

Question 187074This question is from textbook algebra2
: List all the possible rational zeros of each function
16. p(x)=3x^3-5x^2-11x+3
p= (+or-)1, (+or-)3
q= (+or-)1, (+or-)3
1/1, 1/3, 1/-3, -3/-3
rational zeros
1,3,-3
Making sure if i did the division & simplifying part correct?This question is from textbook algebra2

Click here to see answer by jim_thompson5910(13794)

Question 187076This question is from textbook algebra2
: Find all of the rational zeros of each function
22. f(x)=2x^5-x^4-2x+1This question is from textbook algebra2

Click here to see answer by jim_thompson5910(13794)

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