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

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Question 354924: Please help me solve the following...
Simplify. Identify any x values for which the expression is undefined.
4x-8 / x^2 -2x
Click here to see answer by stanbon(57967)

Question 354924: Please help me solve the following...
Simplify. Identify any x values for which the expression is undefined.
4x-8 / x^2 -2x
Click here to see answer by mananth(12270)

Question 355429: If the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2. What is the number ?
Click here to see answer by edjones(7569)

Question 355427: If the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2. What is the number ?
Click here to see answer by jsmallt9(3296)

Question 355197: radius of a sphere. the radius of a sphere is given by the forumua r=(0.75v/pi)^1/3. Where V is its volume. Find the radius of a spherical tank that has a volume of (32pi) / (3) cubic meters.
Click here to see answer by jsmallt9(3296)

Question 356042: Consider the function j(x)=(square root of x)squared.
(a) What is the natural domain of j?
(b) Find the range of j using the natural domain.
The textbook has no examples and the teacher didn't explain it well.
Click here to see answer by jim_thompson5910(28715)

Question 356092: How do you find the average speed of an object.
For example:
Fly 1200 miles in 4 hours.
Thank you for your help.
Click here to see answer by edjones(7569)

Question 356060: find the indicated outputs for f(x)=3x the the second power -4x
f(0)=
f(-1)=
f(2)=
Click here to see answer by Fombitz(13828)

Question 356233: Simplify: 2x^2+7x-15 / 2x^2+13x+15
Click here to see answer by Fombitz(13828)

Question 356250: Simplify: (a^2+4a)(a^2-a-2) / a(a^2+2a-8)
Click here to see answer by Fombitz(13828)

Question 356250: Simplify: (a^2+4a)(a^2-a-2) / a(a^2+2a-8)
Click here to see answer by mananth(12270)

Question 356270: what are rational expressions? Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 – 16). What values in the denominator must we be mindful of?
Click here to see answer by Fombitz(13828)

Question 356296: r to the 2nd power - 5r + 6
____________________________
r to the 2nd power - 4
Click here to see answer by ewatrrr(10682)

Question 356367: (x-1)/(x+3)=2
Click here to see answer by Fombitz(13828)

Question 356500: how do you change y=2x^2+24x+25 standard form to vertex form?
Click here to see answer by Fombitz(13828)

Question 356634: I have no idea what this is even called but I am really confused and need help with these types of problems. thanks
Factor Completely.
1. 2xsquared+7x-4

Factor and solve.
1. 81xsquared=16
2. 8xsquared-6x-5=0
My attempt.
(x-2) (x+3)
x-2=0 x+3=0
x=2 x=-3
8x=0
x=-8

Click here to see answer by edjones(7569)

Question 356688: can you please help me graph the fuction and determine the vertex
y=x^2/2+2x-8
Click here to see answer by Fombitz(13828)

Question 356775: Simplify: 5x-10 / x^2-4x+4
Click here to see answer by Fombitz(13828)

Question 356776: Find the distance between the points (-1, 3) and (5, 0).
Click here to see answer by Fombitz(13828)

Question 356791: Simplify: a^3+27 / 4a^2-36
Click here to see answer by Fombitz(13828)

Question 356790: Simplify: 4x^2+24x+32 / x^2+2y+2x+yx
Click here to see answer by Fombitz(13828)

Question 356945: how do you find the slope of 7x=5
Click here to see answer by stanbon(57967)

Question 356944: how do you find the slope of y=-10
Click here to see answer by jim_thompson5910(28715)

Question 356943: how do you find the slope of x=8?
Click here to see answer by jim_thompson5910(28715)

Question 357153: Find the equation of the line that goes through the points (-3,2) and (4,5)..i got y=3/7x+5 but i checked and it doesnt fit
Click here to see answer by jim_thompson5910(28715)

Question 357166: Solve for q: P=p/Q+q...as in Q+q is the denominator
Click here to see answer by jim_thompson5910(28715)

Question 357166: Solve for q: P=p/Q+q...as in Q+q is the denominator
Click here to see answer by checkley77(12569)

Question 357163: Simplify: 5p+10/2p^2-2p * p^2-4p+3/p^2-p-6
Click here to see answer by stanbon(57967)

Question 357182: factor: q^2-2q-24
Click here to see answer by nerdybill(7008)

Question 357181: Write the following two fractions in terms of the LCM of the denominators.
q+5/q^2-4q-21 and q/q^2-11q+28
Click here to see answer by stanbon(57967)

Question 357185: x^2-16x+4=0
Click here to see answer by stanbon(57967)

Question 357185: x^2-16x+4=0
Click here to see answer by nerdybill(7008)

Question 357189: how can you tell if y=9x-2 is a function?
Click here to see answer by stanbon(57967)

Question 357220: On a TV game show, the contestant is asked to select a
door and then is rewarded with the prize behind the door
selected. If the doors can be selected with equal probability,
what is the expected value of the selection if the
three doors have behind them a $40,000 foreign car, a $3
silly straw, and a $50 mathematics textbook?
Click here to see answer by robertb(4012)

Question 357219: The game of dots is played by rolling a fair die and
receiving $1 for each dot showing on the top face of the
die. What cost should be set for each roll if the game is
to be considered a fair game?
Click here to see answer by robertb(4012)

Question 357096: how would you find the product?
14x2/3 times 9/2x
Click here to see answer by mananth(12270)

Question 357363: Solve the system by graphing. What are the intersection points?
y=2x+4
y=-5x-3
Click here to see answer by ewatrrr(10682)

Question 357420: the fourth root of 32 subtract the fourth root of 162
Click here to see answer by ewatrrr(10682)

Question 357421: the fourth foot of 32 over 81
Click here to see answer by ewatrrr(10682)

Question 357427: Solve the system by graphing. What are the intersection points?
x-y=2
y=-x
Click here to see answer by ewatrrr(10682)

Question 357521: Write the equation of a line that passes through the point 7,1 and is perpendicular to 7x - 2y = -2
Click here to see answer by Alan3354(31528)

Question 357591: Solve the system y = 3x + 2 and 5x - 4y = 6 for x
Click here to see answer by Fombitz(13828)

Question 357788: Please help me solve this equation: sqrt^4(81)
Click here to see answer by Fombitz(13828)

Question 357714: Find a 3^10 degree polynomial function with real coefficients; given zeros are 2 and 2i, and f(1) = 10

Click here to see answer by Fombitz(13828)

Question 358169: whats the exact value of sin 315 degrees?
Click here to see answer by Alan3354(31528)

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