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

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Question 551137: Im taking pre calc as an online class and I'm in way over my head because they do not teach it in a way that I can understand AT ALL. please help,
I need to know the vertical, horizontal, and slant asymtotes for:
%282x%5E3%2B24x%5E2%2B35x-175%29%2F%28x%5E2%2B14x%2B45%29
I have an idea on how to get the vertical and horizontal but I just wish I had an easier less confusing, faster way to determine the slant

Click here to see answer by lwsshak3(6761) About Me 

Question 551141: Im taking pre calc as an online class and I'm in way over my head because they do not teach it in a way that I can understand AT ALL. please help,
I need to know:
If y varies directly as x, and y=7 when x=3 find y when x=7If y varies directly as x, and y=7 when x=3 find y when x=7
I have an idea, SO CONFUSED

Click here to see answer by Alan3354(31522) About Me 

Question 551207: the line through (6, -4) and (-3, -2) is parallel to the line through (2, 1) and (0, y). find y.
Click here to see answer by mananth(12270) About Me 

Question 551596: F(x)=x^2-3x
g(x)=2x+4
What is the value of:
F(g^-1(-4))
Can you please help me with this problem? I am having trouble with functions.

Click here to see answer by nerdybill(7008) About Me 

Question 551714: For each pair of functions, find f(g(x)) and g(f(x)).
f(x)= 3x+5, g(x)= x^2+1

Click here to see answer by jim_thompson5910(28715) About Me 

Question 551922: what is the domain of the function f(x)=sqrt x-1
Click here to see answer by nyc_function(2733) About Me 

Question 552042: 7/2=3/x-4
Click here to see answer by edjones(7569) About Me 

Question 552174: Having trouble with this problem. I need a step by step on how to do it since I have a lot more of these to do. Thank you in advance.
s/6-6/s=0

Click here to see answer by fcabanski(889) About Me 

Question 552186: need help solving the following please:
q^2-16/(q+4)^2
q^2-16 this whole thing is over (q+4)^2

Click here to see answer by fcabanski(889) About Me 

Question 552203: -27+3x/5 divided by 4x-36/25
Click here to see answer by stanbon(57967) About Me 

Question 552200: Solve for x:
a%2F%28bx%29 + c%2Fd = e

Click here to see answer by AnlytcPhil(1278) About Me 

Question 552233: Need help with this one please:
q+8/3 + q-5/5=13/3

Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 552483: The question is:
The quadratic function f is defined by f(x) = 4x%5E2+%2B5x+%2B2
a) Find the set of values of k for which the equation f%28x%29+=+kx+%2B+1 has real roots.
b) Find the coordinates of the turning point of y+=+f%28x%29, stating whether it is a maximum or a minimum point.
c) Hence, state the maximum value of 1%2F%28f%28x%29%29
Thank you.

Click here to see answer by Alan3354(31522) About Me 

Question 552930: find the nonpermissable replacement for x in this expression?
_3_
4x

Click here to see answer by KMST(1936) About Me 

Question 553042: how do you describe the end behavior in x -> and f(x) -> is when it comes to analyzing graphs of polynomials?
Click here to see answer by rapaljer(4667) About Me 

Question 553125: Is this relation a function, {(7,-2),(8,-2),(-5,7),(-9,1)}

Click here to see answer by jim_thompson5910(28715) About Me 

Question 553137: Is this relation a function {(-8,0),(10,6),(10,-2),(-5,7)}
Click here to see answer by jim_thompson5910(28715) About Me 

Question 553253: Find an equation for the linear function f for which f(3)=7 and f(-1)=5.
Click here to see answer by jim_thompson5910(28715) About Me 

Question 553533: Please help with this.
I need to determine the zeros and their multiplicity for each function:
a. y=x^2(x+6)^5(x+4)^6
b. y=x(x-8)^5
c. y=x(x-7)^18
Thank you very much.

Click here to see answer by stanbon(57967) About Me 

Question 553556: What is the value of the expression 1/0*0

Click here to see answer by rapaljer(4667) About Me 

Question 554102: iF A WHOLE TRIP IS 2,306 MIILES AND GAS IS $2.41 PER GALLON HOW MUCH extra will they pay for gas?
Click here to see answer by Alan3354(31522) About Me 

Question 554180: solve the inequiality x^2+13x+40<5
Click here to see answer by stanbon(57967) About Me 
Question 554180: solve the inequiality x^2+13x+40<5
Click here to see answer by kkasko(46) About Me 

Question 554223: Is k(x)=500(1.5)^x an exponential growth or decay
Click here to see answer by Alan3354(31522) About Me 

Question 554217: How do you list the possible rational zeros of f in a function using the rational zero theorem?
f(x)=x^4+2x^2-24

Click here to see answer by richard1234(5390) About Me 
Question 554217: How do you list the possible rational zeros of f in a function using the rational zero theorem?
f(x)=x^4+2x^2-24

Click here to see answer by KMST(1936) About Me 

Question 554238: In 1991, the life expectancy of males in a certain country was 61.5 years. In 1995, it was 64.4 years. Let E represent the life expectancy in year t and let t represent the number of years since 1991. The linear function E(t) that fits the data is?
Click here to see answer by josmiceli(9817) About Me 

Question 554487: Please help me out with this one, "In this exercise, solve the equation containing a rational exponent on the variable."
x^3/4= 125

Click here to see answer by ankor@dixie-net.com(15746) About Me 
Question 554487: Please help me out with this one, "In this exercise, solve the equation containing a rational exponent on the variable."
x^3/4= 125

Click here to see answer by bucky(2189) About Me 

Question 554601: what are the x intercepts of (y^2)/(25)-(x^2)/(49)=1
a.(+-7,0)
b.(+-5,0)
c.(0,+-5)
d.none
i had worked this out and had gotten none. i just wanted to check and make sure that i am right?

Click here to see answer by stanbon(57967) About Me 

Question 554595: I want to know if my answers are correct to the following division problems:
a.(2x^3-3x^2-x-2) divided by (x-2). (my answer: 2x^2 + x +1)
b.(x^3-7x^2 + 11x +3) divided by (x-3) (my answer: x^2 -4x-1)
c.(4x^3 -15x^2 -2x -3)divided by (x-4) (my answer:4x^2+x+2 + remainder 5/x-4)
d. (x^3 + 125) divided by (x-5) (my answer: x^2+5x+25remainder 250/x-5)

Thank you so much for your help! I really appreciate it.

Click here to see answer by Alan3354(31522) About Me 

Question 554913: 4x^2 + 4x +1 =16
Click here to see answer by jim_thompson5910(28715) About Me 

Question 554972: How can I add these? 4g/3g-6 + 7g/6g-12
Click here to see answer by Maths68(1474) About Me 

Question 555006: Factor: 2x^6 - 2x^4 - 12x^2

Click here to see answer by Tatiana_Stebko(1326) About Me 

Question 555361: I need to simplify by rationalizing each denominator. My equation is the square root of 11 all over 5 square root of 132. HELP please
Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 555584: what is the answer in the retional expression 6c raised to two minus 23c minus 4 all over c raised to two minus 6c plus 8? please show the solution.
Click here to see answer by stanbon(57967) About Me 

Question 555642: The graph of the line through (2,3) that is perpendicular to the line with equation x = -1 also goes through which point?
Click here to see answer by josmiceli(9817) About Me 

Question 556608: (-243)^1/5
Click here to see answer by Alan3354(31522) About Me 

Question 557278: x-2/x + 1/2= x+1/x-2 don't know where to begin??/ Help please!
Click here to see answer by stanbon(57967) About Me 

Question 557410: The denominator of a fraction is 2 less than twice the numerator. If 4 is added to both the numerator and the deniminator, we obtain a fraction equivalent to 5/8. What is the original fraction? How do we represent it?
Click here to see answer by bucky(2189) About Me 

Question 558200: find the real roots of the polynomial y=3x^4-5x^3-5x^2+5x+2
Click here to see answer by stanbon(57967) About Me 

Question 558544: Let f(x)=5x^4 -7x^2 +4.
a. How many zeros does f(x) have?
b. Based on the graph, how many real number zeros does f(x) have?
I know the answers are a. 4 and b.2 but I don't understand how you get that. Can you explain please? These are from my exam review packet. Help !!

Click here to see answer by KMST(1936) About Me 

Question 558732: Shelly throws her keys up into the air, releasing them from a height of 4 ft. above the ground with an initial velocity of 32 ft/sec.
a. Write and equation representing the height of the keys in terms of time?


Above on the WS it gives two equations for velocity both equaling h-height. This is why i am confused.

Click here to see answer by ankor@dixie-net.com(15746) About Me 
Question 558732: Shelly throws her keys up into the air, releasing them from a height of 4 ft. above the ground with an initial velocity of 32 ft/sec.
a. Write and equation representing the height of the keys in terms of time?


Above on the WS it gives two equations for velocity both equaling h-height. This is why i am confused.

Click here to see answer by Earlsdon(6294) About Me 

Question 559516: sketch the graph y=x^2+7x+10/x^2+17x+16
Click here to see answer by josmiceli(9817) About Me 

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, 8056..8100