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

Algebra -> Algebra -> Rational-functions -> Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors! Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

Algebra: Rational Functions, analyzing and graphing

Solvers

Lessons

Problems, free tutors

Quiz

In Depth

Tutors Answer Your Questions about Rational-functions (FREE)

Question 167618: evaluate the difference quotient for f(x)=x^2

Difference quotient= f(x+h)-f(x)divided by h

Click here to see answer by Fombitz(2113)

Question 167709: graph the function. State the Domain and range
y=x+2
____
x+3
Click here to see answer by jim_thompson5910(13794)

Question 167883: Mulitply 8r + 16/ 24r - 24 . 6r - 6/ 3r + 6
How I solved
8(r+2) / 8 (r-3) . 3 (r-2)/ 3 (r + 2)
Cancel out r+2 and both 8 and 3
Giving me
r-3 / 3r - 3
Amy I doing this correctly?

Click here to see answer by nerdybill(2448)

Question 167899: I am working with my school website on My Math Lab and this is a question asked. I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel
Click here to see answer by checkley77(7072)

Question 167898: I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel
Click here to see answer by checkley77(7072)

Question 167987This question is from textbook INTRO TO COLLEGE MATH
: the relative aperture, or f-stop, of a 23.5-mm diameter lens is directly proportional to the focal length F of the lens. If a 150-mm focal length has an f-stop of 6.3, find the f-stop of a 23.5-mm diameter lens with a focal length of 80 mm.This question is from textbook INTRO TO COLLEGE MATH

Click here to see answer by stanbon(26297)

Question 168037: Tony can paint a room in 4hr. Gina can paint he same room in 3 hr. Working together, how long will it take them to paint the room.
Click here to see answer by Earlsdon(4900)

Question 168287: 3a/a+1+2a/a-3
Click here to see answer by jojo14344(1483)

Question 168286: 3a/a+1+2a/a-3
Click here to see answer by jojo14344(1483)

Question 168335: How would you write the equation for the axis of symmetry and find the coordinates of the vertex for the following quadratic function?

Thank you!

Click here to see answer by stanbon(26297)

Question 168452: how are the expressions x over 7 times x over 3 and (x over 7)3 different? explain
Click here to see answer by eggsarecool(32)

Question 168348: How would you find the coordinates of the vertex for the following quadratic function?

Click here to see answer by midwood_trail(310)

Question 168513: graph function..[]=absoulut value
y=1/2x+1
y=[x+2]-3

Click here to see answer by jojo14344(1483)

Question 168514: grahp funciton... []=absoulue value
y=-[x]+4
y=3-2x
Click here to see answer by jojo14344(1483)

Question 168737: Hello I'm new to this site, I wanted to know if
there is a easy and short way to solve this problem?
(2+3i)(1-5i)

Click here to see answer by jim_thompson5910(13794)

Question 168756: How would you solve the following equation by completing the square?

Click here to see answer by stanbon(26297)

Question 168794: How would you solve the following equation by using the quadratic formula?

Thanks!
Click here to see answer by nerdybill(2448)

Question 168792: How would you find the exact coordinates of the vertex for the following quadration function?

Thank you!
Click here to see answer by stanbon(26297)

Question 168950: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the
resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with
the results shown below. Research question: Are the mean crash damages the same for these three
vehicles? Crash1
Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920

Click here to see answer by checkley77(7072)

Question 169126: x + y = 20
28x + 16y = 416
Click here to see answer by checkley77(7072)

Question 169162: The Smith family pays $60 for 4 adult meals and 1 kid's meal.
The Jones family pays $42 for 2 adult meals and 2 kid's meals.
How much was each adult meal and each kid's meal.
Here is what I have so far . . .
4x + y = 60
+ 2x + 2y = 42
_______________
6x + 3y = $102

Click here to see answer by Alan3354(6097)

Question 169147: Find each of the following using a calculator.
Round to four decimal places.
(a) 1n12
(b) log 0.65

Thank you.

Click here to see answer by Alan3354(6097)

Question 169422This question is from textbook Prentice Hall Mathematics Texas Algebra 2
: The table shows the percent of U.S. houses with cable TV.
a. Find a quadratic model using 1960 as year 0, 1970 as year 10, and so on.
b. Use the model to estimate the percent of households with one cable TV in 1995.

Years-%of household
1960-0
1970-7
1980-20
1990-56
2000-68This question is from textbook Prentice Hall Mathematics Texas Algebra 2

Click here to see answer by checkley77(7072)

Question 169440: Which rational number is greater 5/16 or 7/18?
Click here to see answer by checkley77(7072)

Question 169442: how many rational numbers are there between 5 and 14?
Click here to see answer by solver91311(5072)

Question 169611This question is from textbook
: __ __
7/ 9 - 7 + /3This question is from textbook

Click here to see answer by Alan3354(6097)

Question 169755: Please help with:

Find the slope of the line containing the points (5, -6) and (3, 14)
Thank you
Click here to see answer by checkley77(7072)

Question 169752: Please help me with this problem:
Find the midpoint of the segment with endpoints (7,-5) and (-3, -9)
Thanks
Click here to see answer by Alan3354(6097)

Question 169752: Please help me with this problem:
Find the midpoint of the segment with endpoints (7,-5) and (-3, -9)
Thanks
Click here to see answer by checkley77(7072)

Question 169756: Find exact solution:

|3-2x|=8
Thanks
Click here to see answer by stanbon(26297)

Question 169802: simplify
2x/x^2-9 + 3x/x^2+4x+3
Click here to see answer by jim_thompson5910(13794)

Question 169810This question is from textbook Algebra 2
: Y=x2+10x+9 pg 945 Write the quadatric function in intercept form and give the function's zero..This question is from textbook Algebra 2

Click here to see answer by stanbon(26297)

Question 169673This question is from textbook Elementary and Intermediate Algebra, 3e
: Toxic pollutants. The annual cost in dollars for removing
p% of the toxic chemicals from a town’s water supply is
given by the formula
C(p)= 500,000/100-p
.
a) Use the accompanying graph to estimate the cost for
removing 90% and 95% of the toxic chemicals.
b) Use the formula to find C(99.5) and C(99.9).
c) What happens to the cost as the percentage of
pollutants removed approaches 100%?
What happens to the cost as the percentage of
pollutants removed approaches 100%?
This question is from textbook Elementary and Intermediate Algebra, 3e

Click here to see answer by nerdybill(2448)

Question 169525This question is from textbook BLITZER
: X TO THE SECOND POWER - X - 20
DIVIDED BY
X TO THE SECOND POWER - 14X +48This question is from textbook BLITZER

Click here to see answer by Alan3354(6097)

Question 170124: Let the function f be defined by f(x)=x+1. If 2f(p)=20, what is the value of f(3p)?
Click here to see answer by stanbon(26297)

Question 170172This question is from textbook

: Together, Lateesha and John can write a particular type of computer program in 15 hours. Alone, Lateesha can do the job 3 hours faster than John. Find the time that each person takes to write the computer programThis question is from textbook

Click here to see answer by scott8148(3385)

Question 170223: My question pertains to a rational function that appears on page 36 in W.W. Sawyer's short book(not a textbook) entitled What Is Calculus About? At one point on this page, Sawyer says that velocity equals (-1)x t^-2. So, the equation is v= (1)x t^-2. Sawyer notes that ^t-2 can be changed to 1/t^2. Then he says that v= -1/t^2.
But when I multiply -1/-1 times 1/t^2 I get -1/-t^2 instead of -1/t^2. I assume that I am doing something wrong. What am I doing wrong? Why does the correct transformation result in -1/t^2 rather than -1/-t^2?
Click here to see answer by maali40(13)

Question 170228: Please help with the following:
If (-10,10) is on the graph y=f(x),what point do you know is on the graph of
f(1/2(x))?
Thank you.
Click here to see answer by stanbon(26297)

Question 170200: Please help me with the following problem. Any help you can provide is appreciated!
Determine whether the graph of y= 3x/(x^2-4) is symmetric with respect to the x-axis, the y-axis, and/or the origin. Please show how you get the answer.

Click here to see answer by Fombitz(2113)

Question 170243: I have a take home test and attempted all the problems, but following are a few that I need help with...
Solve for x.
problem #1
____x^2______ =
x^2 – 6x – 16

___16____
(x+8)(x–2)

I can get as far as;
____x^2___ =
(x-8)(x+2)

____16____
(x+8)(x-2)

but not sure what to do now...

problem #2
__x__ =
x^2-9

__1__
(x+3)

so far I have,
____x____ =
(x-3)(x+3)

__1__
(x+3)

then, I cross multiply, to get
x(x+3) =
(x-3)(x+3)

then, I subtract (x+3) from both sides to leave,
x = (x-3) right?

problem #3
[___3___ _._ __a__ ] + (a+1)
[(a^2-1) . (a+1) ]

first, I flip the second fraction to multiply...
[___3___ x _(a+1)_ ] + (a+1)
[(a^2-1) a ]

then, I cancel the "a in the second fraction and factor the two remaining fractios by the LCD to leave,
__3_+_(a+1)((a-1)(a+1))__
(a-1)(a+1)

then, I factor out the LCD to leave,
3+(a+1) right?
I don't know what #3 is, pls rewrite it using parentheses.

Click here to see answer by Alan3354(6097)

Question 170292This question is from textbook Algebra 2 with Trigonometry
: I was absent in class and I missed this lesson and I was hoping someone could help me. This problem is from the Merrill Algebra 2 textbook.
The problem asked to simplify this expression:
16. x^negative 1/4

another thing I was confused on was to simplify:
23. 1 over t^3/2 + t^1/2

any help would be appreciated! Thank you!
This question is from textbook Algebra 2 with Trigonometry

Click here to see answer by checkley77(7072)

Question 170474: Find all numbers for which the rational expression is undefined.
2/6y+5
(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type N is the answer is never undefined.)

Click here to see answer by stanbon(26297)

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