Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

Tutors Answer Your Questions about Functions (FREE)

Question 65437: a caterer estimates that 3 gallons of coffee will serve 48 people. how much coffee is necessary to serve 144 people?
Click here to see answer by stanbon(75887)

Question 65442: the speed,v, of a gear varies inversely as the number of teeth,t. if a gear that has 36 teeth makes 30 revolutions per minute, how many revolutions per minute will a gear that has 54 teeth make?
Click here to see answer by stanbon(75887)

Question 65439: the pressure,p, on a diver in the water varies directly as the depth,d. if the pressure is 6 lb/sq.in. when the depth is 12 feet, what is the pressure when the depth is 16 ft?
Click here to see answer by stanbon(75887)

Question 65446: a canoeist can travel 10 mph in calm water. the amount of time it takes to travel 60 miles with the current is the same amount of time it takes to travel 40 miles against the current. find the rate of the current.
Click here to see answer by checkley71(8403)

Question 65434: a commercial jet travels 2400 miles in the same amount of time it takes a corporate jet to travel 1600 miles. the rate of the commercial jet is 200 mph faster than the rate of the corporate jet. find the rate of each jet.
Click here to see answer by checkley71(8403)

Question 65495: 3x-8=4
Click here to see answer by 303795(602)

Question 65280: state the domain and range of y=x^2-2x+5
Click here to see answer by amran(4)

Question 65282: find the intercepts and vertex
y=-x^2-4x
find intercepst
x^3-2x^2-9x=18=0
Click here to see answer by amran(4)

Question 65345: simplify (4a^3b^-3c^2)^3/(-2a^-2b^2c^-1)^4
Click here to see answer by checkley71(8403)

Question 65217: multiply (x+16)(x-7)
Click here to see answer by duhart(1)

Question 65395: (3x^3yz^-1)/(-12xy^-2z^2)
Click here to see answer by stanbon(75887)

Question 65394: (4x^3yz^4)(2xy^-2z^-1)(5x^-2y^-2z^3)
Click here to see answer by stanbon(75887)

Question 65344: simplify (3x^3yz^-1)/(-12xy^-2z^2)
Click here to see answer by funmath(2933)

Question 65340: (4x^3yz^4)(2xy^-2z^-1)(5x^-2y^-2z^3)
simplify
Click here to see answer by Edwin McCravy(20056)

Question 64762: Find the following and identify the domain:
given f(x)= x - 2 and g(x)=x(squared)- 4
solve for (f=g)(x)=
Click here to see answer by Nate(3500)

Question 65633: From a square piece of cardboard with width x inches, a square of x - 3 inches is removed from the center. Write the area of the remaining piece as a function of x.
Click here to see answer by ptaylor(2198)

Question 64616: Bette�s Bananas delivers fresh bananas to your doorstep every morning. The cost for the service is $12/month flat rate and your first ten bananas are free! Further bananas cost $0.10 each. Construct a piecewise-linear function for the cost C of receiving N bananas in a month.
Click here to see answer by uma(370)

Question 64614: Given f(x)=1/x and g(x)=(x+1)/(x-2), find f/g(x) and state its domain.
Click here to see answer by praseenakos@yahoo.com(507)

Question 64578: thanks for your help, I need to perfom the indicated operations
perform the indicated operation
2y � 3y[4 � 2(y � 1)]

perform the indicated operation
(4x � 3y)2

Click here to see answer by checkley71(8403)

Question 64617: I really could use some help with this one.
"Sketch using transformations: f(x) = -2|x+2|. Start with the basic graph and show all stages."
I know that there are supposed to be four graphs, but I just don't understand this, please help!
Click here to see answer by venugopalramana(3286)

Question 65784: Hi! I need to state the domain for
1. 6/4x^3
2. (x+5)/(x^2-36)
3. (x+5)/(x^2+36)
Thanks!
Click here to see answer by funmath(2933)

Question 65839: If f(x) = 2x + 5 and g(x)= x^2 - 3x, find g(-3)
Click here to see answer by funmath(2933)

Question 65874: If f(x)=2x+1 and g(x)=x^2 , find (g o f)(2).
Click here to see answer by Nate(3500)

Question 65873: if f(x)=2x+4 and g(x)=x^2+1, find (f o g)(3)
Click here to see answer by Nate(3500)

Question 65875: if f(x)=2x+1 and g(x)=x^2, find (g o f)(2)
Click here to see answer by Nate(3500)

Question 65964: I could really use some help with this one:
Which of the following are functions? Explain your reasoning for a, b, and c. Keep the definition of a function strongly in mind as you so this problem. Think about whether the relationship between f(x) and x is consistent with being a function or not and explain your reasoning:
a. f(x) = 2 if x>1
f(x) = -1 otherwise
b. f(x) = 5 if x>0
f(x) = -5 if x<0
f(x) = 5 or -5 if x = 0
c. f(x) = 10/x
Thank you.
Click here to see answer by venugopalramana(3286)

Question 66284: x=3 x=0 directions highschool algebra 1 worksheet

g(x)=3x another problem h(x)=x+7

I donot understand how to do the problem
Click here to see answer by checkley71(8403)

Question 66356: please answer this :write an equation of the line that passes through the given two points.
(2,3),(8,0)
Click here to see answer by venugopalramana(3286)

Question 66595: A=B+3(4-C)
B=5
C=2
Click here to see answer by Nate(3500)

Question 66597: When x number of units are sold, the price of each unit (in dollars) is given by p= x/2 + 75

Find the unit price when the following quantities are sold: 2, 7, 9, 11.

Click here to see answer by checkley71(8403)

Question 66626: Celsius temperature readings can be converted to
Fahrenheit readings using the formula F = 9/5 C + 32

What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures-10, 0, 15, 100?

Click here to see answer by Earlsdon(6294)

Question 66629: Compare equations with one variable to equations with two vari-ables. How are they alike? How are they different?
What if an equation had three variables?
Click here to see answer by Poohbear272(22)

Question 66697: Find the distance between two points given the coordinates (3,-5) and (6,9)
Click here to see answer by Nate(3500)

Question 64671: Thank You
If f(x) = 2^x, describe the transformation of the curve for g(x) = -2^x-2

Click here to see answer by rapaljer(4671)

Question 64651: Please help me I'm supposed to solve with the calculator to four places
14.) log 0.0332
15.)In 40,257
Click here to see answer by rapaljer(4671)

Question 64652: Please help me to solve with the calculator to four places
16.) log x - 2.0832
17.) ln x = -1.1577
Click here to see answer by rapaljer(4671)

Question 64315: Please help me, this is part of a test that I have to get done. Thank you!
What Property is demonstrated by the following statements?
1.) uv(w + x) = uvw + uvx
2.) a + cb = a + bc
Perform the indicated operations
3.) 2y � 3y[4 � 2(y � 1)]
4.) (4x � 3y)^2
Factor the following expressions completely
5.) 3m^3 � 18m^2 + 15m
6.) 2x^3 + 3x^2 - 4x � 6
Perform the indicated operations
7.) 3x+6/4x^2- 2x�1/x^3-5/8x

8.) 5./M-2 + 3./M+3

Convert to scientific notation
9.) 45,030,000,000
Simplify and use only positive exponents
10.) (3m^-3 n^2)^-3
Simplify the following expression
11.) (6a^3/4)/(15a^-1/4)

Rationalize the following expression
12.) 2x + 3/√(x) + 2

Solve for x
13.) -7 < 2x + 3 < 15
14.) -5x +9 > -1

Click here to see answer by rapaljer(4671)

Question 64319: Please help me solve for these problems, I appreciate it. Thanks!
Given f(x) = x2 + 5 and g(x) = 5x � 2, solve the following functions:
15. f(6)
16. g(-2)
Indicate verbally what happens to the parabola f(x) = x2 in the following instance
17. - f(x � 5)
MyPhoneCo, Inc. uses the following price schedule: x < 200 minutes, $.25 per minute; between 201 and 500 minutes, $.15 per minute; Over 501 minutes, $.10 per minute.
18. How much does 480 minutes cost?
Find the equation of the line in slope intercept form given the following:
19. m = 5 and point (3, -10)
20. The line runs through (2, 3) and (-3, 7)
Given f(x) = x2 � 8x - 20 equation (parabola), find the following:
21. The vertex
22. The y-intercept(s)
Find the x-intercept(s) of the following equations
23. f(x) = 5x � 13
24. g(x) = x2 � 25
If you invest $5,000 paying 9%, to the nearest penny how much will you have in 25 years if it is compounded:
25. semi-annually
26. continuously
Solve for x
27. log x = (2/3) log 8 � (2 log 5 + log 2)
28. log (x � 1) + log (x � 1) = log 3
Extra Credit
Your annuity will be worth $240,000 in 30 years. How much is it worth in today�s money if the average inflation rate is 3% per year?

Click here to see answer by rapaljer(4671)

Question 63199: The electricity costs of a business decreased from $12,000
one year to $10,920 the next. What is the rate of decrease?
Click here to see answer by rapaljer(4671)

Question 66793: how do you work out 2x-5=6 ??

Click here to see answer by checkley71(8403)

Question 66907: problem is: solve for M if F= mv sq over r
I am unaware of how to go about solving this.
Click here to see answer by ptaylor(2198)

Question 66907: problem is: solve for M if F= mv sq over r
I am unaware of how to go about solving this.
Click here to see answer by ankor@dixie-net.com(22740)

Question 66842: x over 2 equals 5 over 7 minus x
Click here to see answer by checkley71(8403)

Question 66969: the length of a person's face is one ninth of the person's height and a persons shoulder width is one fourth of the person's height. How would I write an equation describing the face length as a function of the height? PLLLEEEAAASSSEEE HELP MEEEEEEEE!!!!!!!!!!!!!!!!
Click here to see answer by checkley71(8403)

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