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

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Question 91449: still don't understand how to do these two problems
HELP
y = 4x - 2 shift down 3 and right 2 ????????????????????
y = -1/2x^2-2 shift left 4 and widen by 2
need to grpah first equation and new one
THANKS
llo
Click here to see answer by stanbon(57203)

Question 91553: I am not understanding domains. My assignment is to state the domains for:
g(x)=2x + 1/x - 3
h(x) =3x^2 + 5x - 3
l(x) = 2x + 3
m(x) = 3/x^2+7

Click here to see answer by ankor@dixie-net.com(15622)

Question 91647: I have three promblems to answer in a fast time,
add rational expression with common deneminator
subtract and write in lowest terms
I ask the wrong question bummer, here is the correct one
7x-2w/9x - 6x+2w/9x
Thank you for this help
Click here to see answer by Earlsdon(6287)

Question 91739: How would you explain square roots, cube roots, nth roots, and radicals? What are some limitations of square root?

Click here to see answer by tutorcecilia(2152)

Question 91726: Reflect on what you have learned about rational expressions and their applications, and then consider how you might apply rational expressions to your daily life. Explain this application, and discuss what the equation might be.
Click here to see answer by ankor@dixie-net.com(15622)

Question 91761: Add rational expressions with common denominator
9z+ - z+
Thank you for this help
Click here to see answer by mathispowerful(115)

Question 91752: One car travels 30 km/h faster than another. In the same time one travels 200 km, the other goes 320 km. Find the speeds.
Click here to see answer by mathispowerful(115)

Question 91821: I need help understand how to begin with f(x) = x squared and f(x) = X+1
I took a summer course and it's so fast I'm not getting it. Final is Tuesday. HELP!!!!
Click here to see answer by Nate(3500)

Question 91924: 2 sqrt(25/16) ???? how do you simplify this??
Click here to see answer by funmath(2925)

Question 91878: simplify
a. x+16
b. x-18
c. x-16
d. x+18
Click here to see answer by mathispowerful(115)

Question 91937: find the LCD for 9/a^2+8a+16 and 6a/5a+20
a. 5(a+4)^2
b. (a+4)(5a+20)
c. 5(a+4)^3
d. (a^2+8a+16)(5a+20)
my final is tomorrow and i still dont understand this LCD concept.
Click here to see answer by funmath(2925)

Question 91936: which expression represents the sum of 7/a-1 + 3/2a-2
a. 17/2(a-1)
b. 10/2a-2
c. 17/2(a-1)^2
d. 10/3a-3
when i added this up on my calculator it gave me the same thing. i dont understand how to work this out. any help would be appreciated.
Click here to see answer by stanbon(57203)

Question 91935: find the LCD for -5/x^2t and x/t^3
a. x^2t^3
b. x^2t
c. xt^2
d. x^2t^2
i dont understand how to find the lcd at all im really confused with this because on the first fraction both x and t are the denominator. but the second fraction has them split up on top and bottom. xan someone help me clear up how to work this out?
Click here to see answer by stanbon(57203)

Question 91922: can someone help me figure out the sqroot of 3/25?
Click here to see answer by tutorcecilia(2152)

Question 92056: please help me solve and simplify sqrt(1/2) * ( sqrt(8) + sqrt(2))
Click here to see answer by funmath(2925)

Question 92069: can someone help me simplify (6i)^2 ?
Click here to see answer by Nate(3500)

Question 92096: Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros for the function P(x) = -3x^5 -7x^3 -4x - 5.
Click here to see answer by stanbon(57203)

Question 92098: For the function f(x) = 7-3x, find its inverse and graph both on the same set of axes (be sure to label which is which)
Thanks very much.
Click here to see answer by stanbon(57203)

Question 92080: 4) (a) What is the sum of the roots of the equation ax^2 + bx + c = 0?
(b) What is the products of its roots?
(a)________
(b)________
please tell and show me how to do this
Click here to see answer by stanbon(57203)

Question 92187: write each fraction as a terminating or repeating decimal 3/8 huh? i really dont get this
Click here to see answer by Earlsdon(6287)

Question 92199: (a) Graph the function f(x)= x^3 - 4
(b) Approximate to the nearest tenth, the real root of the equation
f(x)= x^3 - 4 = 0 please help me
Click here to see answer by jim_thompson5910(28476)

Question 92312: I am trying to solve a function that I must graph and I am having a problem solivng the equation,the problem is find the h,the x-coordinate of the vertex of this parabola f(x)=x2+4x+1 and then i have to find the h,the x-coordinate of the vertex of this parabola can you help then I have to substitute the two whole number values to the left and right of h into the function to find the corresponding y to do the graph.
Click here to see answer by stanbon(57203)

Question 92310: Find the horizontal and vertical asymptotes of the following:
A) f(x)= 2x+3/x+2
B) g(x)= 5x / x^2+1
Click here to see answer by Nate(3500)

Question 92330: Write an equation of the line that passes through the given point and has the given slope
(3,1), m+4
Click here to see answer by jim_thompson5910(28476)

Question 92389: find the sum. express your answer in simplest form. 14a^2/2b + 3a/2b
a. 14a^2+3a/2b
b. 11a^2/2b
c. 14a^2+3a/4b
d. 11/2b
i got a for the answer but my friend said you have to subtract and so i was wondering if someone could clear that up for me?
Click here to see answer by scott8148(6628)

Question 92388: simplify (3x^2+7x-40)+(x+5)
a. 3x+2
b. 3x+8
c. 3x-2
d. 3x-8
my test is tomorrow and i still dont understand how to work this kind of problem. i've tried to divide but it hasnt given me one of the choices i have for answers. please help?
Click here to see answer by scott8148(6628)

Question 92398: what is 2 times the square root of 32 subtracted from the square root of 30?
Click here to see answer by stanbon(57203)

Question 92419: Consider the following graph of y = f(x).

a) If h(x) = f(x) + 2, what would the new coordinates of P be after the shift? Give answer in (x, y) form.
Answer:

b) If , what would the new coordinates of P be after the reflection? Give answer in (x, y) form.
Answer:

Click here to see answer by Feliz(4)

Question 92421: Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph?
a) Parabola Graph vertes (-3,0)

Answer:

b) Parabola Graph vertex (4,0)

Answer:

Click here to see answer by Feliz(4)

Question 92420: Consider the function .
a) Find h, the x-coordinate of the vertex of this parabola.
Answer:
Show your work here:
b) Substitute the two whole number values immediately to the left and right of h into the function to find the corresponding y. Fill in the following table. Make sure your x-values are in increasing order in your table.
Answer:
x y

h =__

c) Use MS Excel to graph the function by plotting the points found in the table in part b.
Answer:

Click here to see answer by stanbon(57203)

Question 92780: Use the Pythagorean theorem to determine the length of each line segment. Round to the nearest hundredth where appropriate.
(1,-1)and (3,2)
Click here to see answer by stanbon(57203)

Question 93021: name the additive inverse and multiplicative inverse of 6/7
Click here to see answer by stanbon(57203)

Question 93032: The base of a ladder is 14 feet away from the wall. The top of the ladder is 17 feet from the floor. Find the length of the ladder to the nearest thousandth.
Click here to see answer by bucky(2189)

Question 93088: Please help me solve this problem:
the direction are as follow: Find the domain of the function, use interval notation:
f(x)= 3 divided by (x+4)
Click here to see answer by stanbon(57203)

Question 93087: Please help me with this equation:
It is a rational expression and the directions are: Perform the operation and simplify completely:
(5) divided by (x-1) mmultiplied by (1-x) divided by 25(x-2)
Click here to see answer by stanbon(57203)

Question 93130: Find the distance between (–4, 0) and (–5, –3)
Click here to see answer by checkley75(3666)

Question 93084: Please help me with this equation:
It is a rational expression and the directions are: Perform the operation and simplify completely:
(2x-1) divided by (x+3) minus (1-x) divided by (x+3)
Click here to see answer by bucky(2189)

Question 93085: Please help me with this equation:
It is a rational expression and the directions are: Perform the operation and simplify completely:
(3) divided by (x-1) plus (5x) divided by (3x+4)
Click here to see answer by stanbon(57203)

Question 93424: also please help me solve for the unknown and show work thanks
sqrt (x+11) = sqrt (x) +1
Click here to see answer by psbhowmick(529)

Question 93466: I think that i chose the right category, but i am not sure. My summer math packed says graph the following, indicate intercepts where appropriate
1. y= -3x+6
2. y= 3(x-1)^2 -3 (^2 means squared)
If you could help, that would be wonderful. thank you so much and God bless.
Click here to see answer by checkley75(3666)

Question 93585: Describe the values of b in the following equations, that will give one or more real number soulutions.
(a) 3x^2+bx-3=0
(b) 5x^2+bx+1=0
(c) -3x^2+bx-3=0
(d) Write a rule for judging if an equation has solutions by looking at it in standard form.
Click here to see answer by stanbon(57203)

Question 93584: I having a hard time, I need to provide an example of using rational expressions in every day life. Can someone help? I'm lost.
Click here to see answer by stanbon(57203)

Question 93628: how many terms are there in the following sequence?
1,8,15,22....,113?
I'm not sure how to set this up at all?
Click here to see answer by checkley75(3666)

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