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

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 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 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 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 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 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 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 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 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 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 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 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 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)