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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 337892: what is the discriminant of the equation 4x(squared) = 8x = k?
Click here to see answer by Alan3354(30959)

Question 337945: Give exact and approximate solutions to three decimals places
y^2-16y+64=25
Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i using a comma to separate answers as needed
Click here to see answer by Fombitz(13828)

Question 337947: Determine the nature of the equation, 6t2-8t=0
a) 2 imaginary solutions
b) 2 real solutions
c) 1 real solution
thank you!
Click here to see answer by Fombitz(13828)

Question 338401: What happens when you square 9?
Click here to see answer by backback(24)

Question 338476: Can you explain how to answer:

Thank you!
Click here to see answer by Alan3354(30959)

Question 338553: Simplify 5√ d^15
I have come up with both d^3 and d^5 but want to know which one is correct. thank you.
Click here to see answer by Alan3354(30959)

Question 338685: f(x)= x+5
g(x)= x-4

Click here to see answer by Fombitz(13828)

Question 338722: if f(3a-1) = 12a-7 find f(x) I tried subracting the two to find f(a) but I don't get the right answer. I need to see some step by step so that I can do others like it. Thank you.
Click here to see answer by jim_thompson5910(28476)

Question 338869: I am trying to find the radius of a circle with the center being -4,7. I have come up with a number of different answers but none are correct. using the (x-h)sqaured + (y-k)squared doesnot seem to work.
Click here to see answer by Fombitz(13828)

Question 338893: Pleas rewrite using only positive rational exponants:
(x5/7)^-7/4
Simplify your answer
Click here to see answer by jim_thompson5910(28476)

Question 339312: A student opens a mathematics book to two facing pages. the product of the page number is 1806. FIND the page numbers.
Click here to see answer by Alan3354(30959)

Question 339901: Use the laws of exponants to simplify
6.5^7/4⁄6.5^2/5
Click here to see answer by jim_thompson5910(28476)

Question 339520: What would the graph look like for the problem:
y=log_4(x+2)
Click here to see answer by Fombitz(13828)

Question 340383: What is the vertex form of:
f(x)=x^2-2x-5
Click here to see answer by stanbon(57219)

Question 340191: please explain this equation in slope intercept form for the line that cintains the given point and is perpendicular to the given point(4,-3),-4x+y=-7

Click here to see answer by Fombitz(13828)

Question 340498: Multiply and simplify by factoring. Assume that all expressions under radicals represent all nonnegetive numbers.
∛(y^12 ) ∛(81y^14 )
Simplify your answer.Type in radical form.

Click here to see answer by checkley77(12569)

Question 340504: Factor the trinomial;
t^3-2t^3-24t
Select the correct choice below and of necessary fill in the anawer box to complete your choice
a) t^3-2t^3-24t=__?__ factor completely
b) The trinomial is not factorable
Click here to see answer by checkley77(12569)

Question 340490: Simplify by factoring. Assume that all expressions under radicals represent all nonnegetive numbers;

√(80a^2b )
type an exact number using radicals as needed.
Click here to see answer by checkley77(12569)

Question 340484: Subtract. Simplify by collecting like radical terms if possible.
6√20 -3√5
Simplify youe answer. Type an exact answer, using radicals as needed.
Click here to see answer by checkley77(12569)

Question 341138: F(x)=2x-2
g(x)= x+4
Find g(f(x))
Thanks so much
Click here to see answer by edjones(7569)

Question 341265: find the LCD and simplify (1/x^2-x-2)- (x/x^2-5x+6)
Click here to see answer by Fombitz(13828)

Question 341491: The Richter scale. the Richter magnitude m of an earthquake is given in the formula m = A/A(base 0) A is the maximum amplitude of the earthquake and A (base 0) is the constant. What is the amplitude at a million time A (base 0)? I am stumped I answered this question incorrectly and want to find the correct way to solve this problem. thank-you.
Click here to see answer by stanbon(57219)

Question 341493: in the formula Ax+By=c can A be a negative and a fraction
Click here to see answer by Alan3354(30959)

Question 341716: Label and find the vertex and the line of symestry
graph the funtion f(x)=1/2x^2
the vertex is 0,0
the the equation of the line of semitry is x=?
Click here to see answer by user_dude2008(1861)

Question 341701: how do i graph the equation and find the y intercept to y=1/2x
Click here to see answer by checkley77(12569)

Question 342086: What is the reasoning behind the fact that it is not possible for the solution of an irrational number multiplied by a whole number (other than 0) to be a rational number? I know that it is not possible, which is the first step of the question, I just don't know the exact reasoning behind it.
Click here to see answer by jim_thompson5910(28476)

Question 342033: Please solve
w^4-14w^2-2=0
What is the solution w = _?_
Type an exact answer using radicals as needed. Use commas to seperate answers as needed

Click here to see answer by checkley77(12569)

Question 342252: I am given (-3, 2k) and (k,6). The slope = 1. how do i find k? thanks
Click here to see answer by Fombitz(13828)

Question 342252: I am given (-3, 2k) and (k,6). The slope = 1. how do i find k? thanks
Click here to see answer by mananth(12270)

Question 342274: how do i solve x^2+2x-15=0
Click here to see answer by Jk22(389)

Question 342417: SOMEONE PLEASE HELP!!!!
1. determine the equation of any vertical asymptotes of the graph of:
2x+3
f(x)= -----------
x^2+2x-3
A. x=-1
B. x=3
C. x=-3,x=1
D. y=2

2. Determine the values of x for any holes in the graph of:
x+3
f(x)= ----------
x^2+5x+6
A. x=-3
B. x=3
C. x=-2, x=-3
D. x=-2

Thank you, thank you so much!!!!!
Click here to see answer by solver91311(16868)

Question 343015: x-3y=-12
2x=y=11
Click here to see answer by Fombitz(13828)

Question 343758: How do I find the x intercepts of (x+4)^2 -3
I know how to find the vertex (-4,-3)
and an y intercept (0.13) but I don't know how to factor it to get the x intercepts.
Click here to see answer by Fombitz(13828)

Question 344087: determine whether y varies directly with x. if so find the constant of variation.
y=4/9x
Click here to see answer by solver91311(16868)

Question 344488: i need help with graphing rational functions with horizontal/vertical/slant asymptotes and holes. i understand how to find the asymptotes but i don't understand how to find the x intercepts or y intercepts to graph it. I also don't understand how to graph a hole if it doesnt have a denominator left. for example, when y= -4/x-1 the Vertical asymptote is 1 & the horizontal asymptote is 0. after graphing these 2 lines i don't understand were to graph the rest. another example with holes is (x+2)(x-2)/x-2. i know the x-2's cancel out leaving me with y=x+2 and a hole of 2. how do i graph that?
Click here to see answer by jsmallt9(3296)

Question 344462: x 0 1 2 3
f(x) 1 2 5 10

The table above gives values of the quadratic function f for selected values of x. Which of the following defines f?
A. f (x) = x^2 + 1
B. f (x) = x^2 + 2
C. f (x) = 2x^2 − 2
D. f (x) = 2x^2 − 1
E. f (x) = 2x^2 + 1
Click here to see answer by ewatrrr(10682)

Question 344658: If y=f(x)=-2x+7, find f(0)
Click here to see answer by haileytucki(390)

Question 344658: If y=f(x)=-2x+7, find f(0)
Click here to see answer by MathTherapy(1421)

Question 344679: if y = g(x)=2(x.x)+3x-2, find g(1)
Click here to see answer by Jk22(389)

Question 344697: which of these is a linear function 2x = 3.y.y.y -5 and y.y.y.y = 2x + 7
Click here to see answer by stanbon(57219)

Question 344696: what values of x would be excluded in the domain of y =f(x)= 2 divided by x-8
Click here to see answer by stanbon(57219)

Question 344937: Use the quadratic formula to solve
x^2-x=-9
Click here to see answer by stanbon(57219)

Question 345262: Factor completely
24-10a+a^2
how do I solve this algebra 2 question?
Click here to see answer by rfer(12644)

Question 345264: Factor
v^2+10v+25
factor completley
thank you
Click here to see answer by rfer(12644)

Question 345423: x-4/x-8 + 2x+11/8x = ?
Click here to see answer by Fombitz(13828)

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