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

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Question 175143: If the tax on a $110.00 item is $8.50, what is the tax on a $150.00 item if the sales tax charged is proportional?
Click here to see answer by Mathtut(3670) About Me 
Question 175143: If the tax on a $110.00 item is $8.50, what is the tax on a $150.00 item if the sales tax charged is proportional?
Click here to see answer by actuary(112) About Me 

Question 175151: how do I find y=log(base 3)243?
Click here to see answer by stanbon(57219) About Me 

Question 175138: The ratio of dogs to cats is 4:3, there are 84 together. How many dogs and how many cats are there?
Click here to see answer by Mathtut(3670) About Me 

Question 175136: If 30 cents out of every 1 dollar goes to taxes, and the rest is net income, what is the ratio of taxes to net income?
Click here to see answer by Mathtut(3670) About Me 

Question 175148: How do I solve the equation for x: 64=2^3^x?
Click here to see answer by solver91311(16868) About Me 

Question 175153: how do I solve log(base6)60-log(base6)30?
Click here to see answer by jim_thompson5910(28476) About Me 
Question 175153: how do I solve log(base6)60-log(base6)30?
Click here to see answer by stanbon(57219) About Me 
Question 175153: how do I solve log(base6)60-log(base6)30?
Click here to see answer by josmiceli(9649) About Me 

Question 175134: whats the equation that tells how far someone will be from home if they started out 50 miles from home and they are driving a constant speed of 45 mph?
Click here to see answer by Mathtut(3670) About Me 

Question 175114: What kind of variation is this?
a =v^2 over r
c

Click here to see answer by Mathtut(3670) About Me 

Question 175227: A right triangle is formed in the 1st quadrant. It has vertices at A(0,0), B(0,y), and C(x,y). Point C is on the graph of the function f(x)=8+x-x^4. Write an equation to show how the triangle area varies with x and find the maximum area.
Click here to see answer by solver91311(16868) About Me 

Question 175312: I need help really bad..What is a Remainder Theorem?
Ihave been working on these problems for over two hours help
1. Use the Remainder Theorem to find the reaminder when f(x) is divided by g(x)
1. f(x)=x^4+8x^3+12x^2;g(x)=x+1
2. f(x)=5x^6-3x^3+8;g(x)=x+1
Someone please help m,e on these.....It is important....Thank you

Click here to see answer by nycsub_teacher(90) About Me 

Question 175243: can you guys please help me through these two problems:
instructions say simplify each sum:
(-3x)/(x^2-9) + (4)/(2x-6)
and
these instructions say simplify each complex fraction:
(-3)/(5/x+y)

Click here to see answer by ankor@dixie-net.com(15624) About Me 

Question 175342: can you explain to me how to do this chapter
Click here to see answer by rapaljer(4667) About Me 

Question 175427: a tangent to a circle is a line that touches the circle at one point and is perpendicular to a radius of the circle. a circle has center (3,1) and has point (4,5) on the circle. find the equation of the line tangent to circle at (4,5).
Click here to see answer by stanbon(57219) About Me 

Question 175432: bob has 3000 ft of fence to build 4 adjacent pens. what is x and y? what is the maximum area he can obtain?
Click here to see answer by stanbon(57219) About Me 

Question 175440: times to unload a certain truck:
al,bob,chuck together t hours
al alone t+1
bob alone t+6
chuck alone 2t
find t

Click here to see answer by stanbon(57219) About Me 
Question 175440: times to unload a certain truck:
al,bob,chuck together t hours
al alone t+1
bob alone t+6
chuck alone 2t
find t

Click here to see answer by josmiceli(9649) About Me 
Question 175440: times to unload a certain truck:
al,bob,chuck together t hours
al alone t+1
bob alone t+6
chuck alone 2t
find t

Click here to see answer by ptaylor(2048) About Me 
Question 175440: times to unload a certain truck:
al,bob,chuck together t hours
al alone t+1
bob alone t+6
chuck alone 2t
find t

Click here to see answer by solver91311(16868) About Me 

Question 175567: x4 + 2x2 – 1 = 0
Click here to see answer by Fombitz(13828) About Me 

Question 175618: Could you please help me! Iam not sure if I done it right with this problem. A cellular phone company offers a contract for which the cost C, in dollars of t mintues of telephoning is given by C=0.25 (t-500) + 70.85, where it is assumed that + great than 500 mintues. What time will keep cost between $122.95 and $145.70? For the cost to be between $112.95 and $145.70, the telephoning time must be between __ mintues and __mintues.
Click here to see answer by solver91311(16868) About Me 

Question 175739: For a certain time period the ratio of the dollar value of exports to the dollar value of imports for the United States was 2 to 3. If the value of exports during that time period was 48 billion dollars, then what was the value of imports?
Click here to see answer by stanbon(57219) About Me 

Question 175772: Well I am pretty sure this is the topic we are doing. The one i selected above.
Well anyways, this is the problem I have just been stuck on for EVER. it has 3 part, A, B, and C. and you cant get B or C if you dont get A. and ive been stuck on A. but even if i get past A, Im stil not quite sure if i know what to do with B and C.
Let p(x)=x(x-3)^2(x+1)
A) Sketch this graph of p(x). Label all intercepts. <-- I'm not even sure i know how to graph this at all. could you walk me through it?
b)Find another polynomial funtcion, q(x), that has the same zeroes as p(x) and goes throught the point (-1,16). <--- once i get the first graph I'm not sure How i would MAKE it go through (-1,16), How would i go upon doing that?

c) Explain how to determine the end behavior of a polynomial function. <--- what does it mean by determine if we already solved it above?

Click here to see answer by stanbon(57219) About Me 

Question 175890: h(x) = x3 - 6x2 +10x - 8
Click here to see answer by Alan3354(30959) About Me 

Question 175922: Hi! This question has been bugging me since I first looked at it, because it leaves me confused as to where to start. I want to believe that you factor the denominators, but I have never been too great at factoring and am not sure if anything I'm doing is right! Thanks in advance.
Simplify.
+%28-7v%29%2F%282u%5E2-5uv-3v%5E2%29+-+1%2F%283v-u%29+

Click here to see answer by jim_thompson5910(28476) About Me 

Question 175944: Please help me solve this question
I couldn't get this to look right using your forumla system
-39m^-15n^12
____________
-57m^8n^-14
Using the carret ie ^ to simulate the power of
IE ^5 is the power of 5

Click here to see answer by Earlsdon(6287) About Me 

Question 175950: y=e^x+2e^-x
find the coordinates of the turning point on a curve, show that it is a minimum turning point.

Click here to see answer by stanbon(57219) About Me 

Question 175983: I'm given a scenario describing that for the first ounce in First Class Mail the rate is $0.37 and each additional ounce after that has a rate of $0.23 per ounce. Part (d) is asking me to write a multipart rule for the First-Class Mail rate function R(w), giving the rate in dollars and cents as a function of the weight in ounces.
and (e) what are the domain and range of the function R?

Click here to see answer by Mathtut(3670) About Me 

Question 176083: is (x+y)squared the same as xsquared+ysquared?
Click here to see answer by Alan3354(30959) About Me 

Question 176138: x+2/x-1 + x-3/x-1
Click here to see answer by stanbon(57219) About Me 

Question 176249: Please help me I don't want to flunk.1. The function H described by H(x) =2.75x+71.48 can be used to predict the height, in centimeters, of a woman whose humorous (the bone from the elbow to the shoulder) is x cm long.
Predict the height of a woman whose numerous is 33cm long.
The height of a woman whose numerous is 33 cm long is __cm.
2. Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and B is traveling at 80 miles per hour. Train A passes a station at 12:20 A.M. If train B pass the same station at 12:35 A.M. at what time will train B catch up with train A?
When will B catch up with Train A? __:__ __

3. In 1933, the life expectancy of males in a certain country was 62.3 years. In 1998, it was 65.9 years let E represent the life expectancy in year t and let t represent the number of years since 1993.
The linear function E (t) that fits the data is E (t) =__t +__
Round to the nearest tenth
Use the function to predict the life expectancy of males in 2005 E (12) =
(Round to the nearest tenth)
4. 9x-9y=63
9y-9x=-63 Could I say that there is no solution for this system.

Click here to see answer by stanbon(57219) About Me 

Question 176239: please help me solve interval notation problem.

x+3 over 2 +5= 3x over 4.

please help!!! thank you!!!

Click here to see answer by EMStelley(187) About Me 

Question 176603: Hello, I am having trouble figuring out this problem. If you could help me I would really appreciate it. Here is the problem.
Given f(x) = -3x+7
Graph f(x)
label the graph
Thank you

Click here to see answer by Mathtut(3670) About Me 
Question 176603: Hello, I am having trouble figuring out this problem. If you could help me I would really appreciate it. Here is the problem.
Given f(x) = -3x+7
Graph f(x)
label the graph
Thank you

Click here to see answer by MathLover1(6614) About Me 

Question 176556: chapter 7 Powers, Roots and Radicals
solving radical equations: solve the equation. check for extraneous solutions.

-%28x-5%29%5E1%2F4%2B7%2F3=2

i have done...
-%28x-5%7D%5E1%2F4%5E4%2F1=2-7%2F3
-%28x-5%29=1%2F3%5E4%2F1

Click here to see answer by ankor@dixie-net.com(15624) About Me 

Question 176666: How do you multiply and divide rational expressions?
Click here to see answer by solver91311(16868) About Me 

Question 176712: How do u solve this problem.
Given: f(x)= x + 2 and g(x) = x^2 + 2
Problem: f(g(1))
how do i do this??

Click here to see answer by solver91311(16868) About Me 

Question 176955: the amountof time for a trp varies inversely as the speed traveled.a car reached its destination in 9 hours traveling at 60 mph . what must its speed be to get there in only 8 hours?
Click here to see answer by stanbon(57219) About Me 

Question 176964: the resistance of copper wire varies directly with its length. a copper wire 275 feet long has a resistance of 950 ohms. what is the resistance of 1575 feet of copper wire
Click here to see answer by Earlsdon(6287) About Me 

Question 176969: I need assistance in figuring out the following:
8sqrt%282%29%28sqrt%288%29-3sqrt%282%29%2B7sqrt%2832%29%29

I have an algebra test tomorrow and nearly no one in my class really understands the math material we are being tested on, so this would be extremely helpful and I would be veryyyyyyyy grateful for any help!

Click here to see answer by stanbon(57219) About Me 
Question 176969: I need assistance in figuring out the following:
8sqrt%282%29%28sqrt%288%29-3sqrt%282%29%2B7sqrt%2832%29%29

I have an algebra test tomorrow and nearly no one in my class really understands the math material we are being tested on, so this would be extremely helpful and I would be veryyyyyyyy grateful for any help!

Click here to see answer by Earlsdon(6287) About Me 

Question 176975: How would you write the following expression with a rational denominator and in simplest form?:
5%2F%28sqrt%282%29%2B+sqrt%283%29%29

I have a test tomorrow and myself and most of the people in my algebra class are still extremely confused. Please, please, please, help me with this and explain in full detail if possible! You're help would be very much appreciated!

Click here to see answer by nerdybill(6948) About Me 

Question 176962: the resistance of copper wire varies directly with its length. a copper wire 275 feet long has a resistance of 950 ohms. what is the resistance of 1575 feet of copper wire
Click here to see answer by stanbon(57219) About Me 

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