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

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Question 107005: If f(x) = x(x + 1)(x – 4), use interval notation to give all
values of x where f(x) > 0.
a. (–1, 4)
b. (–1, 0) ∪ (4, ∞)
c. (–1, 4)
d. (0, 1) ∪ (4, ∞)
Click here to see answer by Fombitz(2113)

Question 107153This question is from textbook
: For what value of y does (4,1-y) = (4,y-3)?
a.2 b.4 c.3 d.-2This question is from textbook

Click here to see answer by stanbon(26296)

Question 107254: I need all the roots and zeros to these problems
x^3+3x^2-5x-4=0
x^4-2x^3-7x^2+18x-18+=0
Click here to see answer by Fombitz(2113)

Question 107353: determine iof fractions are proportional 5/8 and 75/120
Click here to see answer by Fombitz(2113)

Question 107482: The figure shows the graphs of f(x) = x3 and g(x) = ax3.
What can you conclude about the value of a?
a. a < –1
b. –1 < a < 0
c. 0 < a < 1
d. 1 < a
Click here to see answer by MathLover1(1183)

Question 107485: Find the distance between the points A(4, –3) and B(–4, 3).
a. 5
b. 7
c. 10
d. 14
Click here to see answer by Fombitz(2113)

Question 107479: Solve loga (7x +1) = loga (4x +16)
a. 4
b. 5
c. 6
d. 8
Click here to see answer by Fombitz(2113)

Question 107480: If a piece of real estate purchased for $50,000 in 1998 appreciates at
the rate of 5% per year, then its value t years after the purchase will
be f (t) = 50,000(1.05t ) . According to this model, by how much will the
value of this piece of property increase between the years 2007 and
2008?
a. $2500
b. $3140
c. $3880
d. $31,400
Click here to see answer by Fombitz(2113)

Question 107484: Solve the inequality 21/15-3x<0 and express the solution as an
interval.
a. (5, ∞)
b. (7, ∞)
c. (–∞,5)
d. (–∞, 7)
Click here to see answer by Fombitz(2113)

Question 107670: Find the solutions to the equation: x2 + 2x – 8 = 0.
a. x = –4, 2
b. x = –3, 5
c. x = –2, 4
d. x = 4, 4
Click here to see answer by jim_thompson5910(13794)

Question 107670: Find the solutions to the equation: x2 + 2x – 8 = 0.
a. x = –4, 2
b. x = –3, 5
c. x = –2, 4
d. x = 4, 4
Click here to see answer by MathLover1(1183)

Question 107668: Find the solution to the equation: 6x – 3 = –2x + 21
a. 2.25
b. 3
c. 4.5
d. 6
Click here to see answer by jim_thompson5910(13794)

Question 107669: A pair of jeans is on sale for $39.20, which is 30% off the original
price. Find the original price of the jeans.
a. $42.20
b. $50.96
c. $56.00
d. $69.20
Click here to see answer by solver91311(5072)

Question 107665: The volume of a cylindrical tank is given by the formula V =πh r2
where h is the height of the cylinder and r is its radius. Find the
volume to the nearest tenth of a cubic foot of a cylindrical tank that
has a radius of 3 feet and a height of 5 feet.
a. 47.1 cu. ft.
b. 94.2 cu. ft.
c. 135.0 cu. ft.
d. 141.4 cu. ft.
Click here to see answer by solver91311(5072)

Question 107666: Express as a polynomial: (x+a)(X2-ax/x)
a. x 2 − a 2
b. x 2 − 2ax − a2
c. x 2 − 2ax + a2
d. x 2 + ax + a2
Click here to see answer by MathLover1(1183)

Question 107683: State the domain of the following:

g(x)=2x+1/x-3

Click here to see answer by MathLover1(1183)

Question 107726This question is from textbook Algebra and Trigonometry
: x^4-y^4 x^2-y^2 x^6-y^6
------- x -------- x --------
x^3-y^3 x^3+y^3 x^2+y^2
those are fractions multiplied by eachother
"carry out the indicated operations and simplify"
the answer in the back of the book is x^4-2x^2y^2+y^4
i'm just confused as to how to get to that answer. i've tried some things, but they aren't working.This question is from textbook Algebra and Trigonometry

Click here to see answer by edjones(3298)

Question 107758: /-------
Find the domain of f (x) = 7 + /3x + 21 , and express it using interval
notation.
a. [–7, ∞)
b. [0, ∞)
c. [7, ∞)
d. [21, ∞)
Click here to see answer by Nate(3495)

Question 107667: If points A, B, and C lie on a coordinate line and points A and B
have coordinates 15 and 7 respectively, then which of the possible
coordinates for point C satisfy(ies) d(A, C) < d(B, C)?
a. 12
b. 17
c. both (a) and (b)
d. neither (a) nor (b)
Click here to see answer by scott8148(3385)

Question 107787This question is from textbook Elementary and intermediate Algebra
: I have a questions about a graph, but cannot post the graph here. Is there a way to attach a document that shows the graph?This question is from textbook Elementary and intermediate Algebra

Click here to see answer by MathLover1(1183)

Question 107803This question is from textbook Elementary and intermediate Algebra
: Refer to the PhotoBucket Graph (link below)and identify the graph that represents the corresponding function below. Justify the answer.
http://i243.photobucket.com/albums/ff78/pstonephoto/Graph.gifThis question is from textbook Elementary and intermediate Algebra

Click here to see answer by jim_thompson5910(13794)

Question 107946: Evaluate:
Find f[g(x)] if:
f(x)= 5x, and g(x)= -5x+6
Click here to see answer by jim_thompson5910(13794)

Question 107956: Can you determine the complex number solution to this equation. x^2-2x+10=0
Click here to see answer by jim_thompson5910(13794)

Question 107949: Find g[f(4)]if:
f(x)=6x, and g(x)=-2x-2
Click here to see answer by edjones(3298)

Question 107757: Find the solutions to the equation: x − 5/4 = 4
a. x = –1, 4
b. x = –1, 5
c. x = 1, 4
d. x = 1, 5
Click here to see answer by edjones(3298)

Question 108025This question is from textbook Algebra 2
: x^2+7x-8/
4x^2-8x+4This question is from textbook Algebra 2

Click here to see answer by edjones(3298)

Question 108233: Hi, I need some help solving this problem on reducing rational expressions:
6m^2/9m^4-15m^3
Thanks!
Click here to see answer by stanbon(26296)

Question 108297: Reduce to the lowest terms: 5c-10a
c-2a
Click here to see answer by jim_thompson5910(13794)

Question 108149: Problem #1
For the function
h(x) = x³ - x² - 17x - 15,
Use long division to determine which of the following are factors of h(x).
a) x + 5 b) x + 1 c) x + 3
Problem #2
Determine the oblique asymptote of the graph of the function.

g(x)= (x² + 4x - 1)/(x + 3)
Thanks.

Click here to see answer by Edwin McCravy(2922)

Question 108232: Hi, I need help solving this problem on reducing rational expressions:

Thanks!
Click here to see answer by Edwin McCravy(2922)

Question 108231: Hi, I need help solving this problem on reducing rational expressions:
x^2-2xy+y^2/x^2-y^2
Thanks!
Click here to see answer by Fombitz(2113)

Question 108376: I need to find the domain to: g(x)=log(x+3) and g(t)=ln(t-1). I am so confused
Click here to see answer by Fombitz(2113)

Question 108382: This is combining rational expressions with an unlike denominator.
((x^2+2)/(x^2+2x-15)) + ((7-4x)/(15-2x-x^2))
Click here to see answer by stanbon(26296)

Question 108389: If a company earns a weekly profit of P dollars by selling x patterns, according to the formula P(x)=0.002x^2 +3.5x^2-800.
How many patterns must it sell each month in order to have a maximum profit?
What is the maximum profit?
Click here to see answer by stanbon(26296)

Question 108396: (5/x+6)-(3/x-6)
The denominators are the same but how do you change their signs so you can subtract?
Click here to see answer by checkley71(8405)

Question 108395This question is from textbook McDougal Littel Algebra 2
: (y^3)^1/6This question is from textbook McDougal Littel Algebra 2

Click here to see answer by checkley71(8405)

Question 108437: Solve each system by elimination:
-x+3y=-1
x-2y=2
Click here to see answer by checkley71(8405)

Question 108441: Solve each system by elimination:
-x+3y=-1
x-2y=2
Click here to see answer by checkley71(8405)

Question 108444: Solve each system by elimination:
4x-3y=-2
4x+5y=14
Click here to see answer by checkley71(8405)

Question 108443: Simplify into one rational expression
x^-1 - y^-2
Click here to see answer by ankor@dixie-net.com(6693)

Question 108443: Simplify into one rational expression
x^-1 - y^-2
Click here to see answer by checkley71(8405)

Question 108443: Simplify into one rational expression
x^-1 - y^-2
Click here to see answer by stanbon(26296)

Question 108443: Simplify into one rational expression
x^-1 - y^-2
Click here to see answer by chitra(359)

Question 108619This question is from textbook Algebra 2 with Trigonometry
: What is the relationship between the lines y=-3x+5 and y=-3x-7? Are they parallel, perpendicular, or neither?This question is from textbook Algebra 2 with Trigonometry

Click here to see answer by Fombitz(2113)

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