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

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Question 129106: 1. A company that produces cells for solar collectors finds through experience that on the average it can sell x cells per day at a selling price (in dollars) of p(x) = 100 – 0.05x (p is called the demand function). The cost function C(x) for producing x cells per day is C(x)= 4000 + 60x – 0.01x^2

A. Write the revenue function R(x).

B. Write the profit function P(x).

C. Find the value of x that maximizes profit, and find the maximum profit.
Click here to see answer by jim_thompson5910(28593)

Question 129111: 2. Solve by graphical means:

x^3 – x^2 – 4x + 4 < 0
(Hint: factor by grouping) Label the vertex and axis.
Denote the left-hand side by f(x). Factor to find the x intercepts, and sketch the graph with the aid of a few additional points.

Click here to see answer by jim_thompson5910(28593)

Question 129159:
write the equation of a line whose slope is -2 and passes through (-1,6). write the answer in slope intercept form.
This one I have no clue about.
Click here to see answer by checkley71(8403)

Question 129157:

write the equation of the line whose slope is -3/7 and y-intercept is -4; write the answer in slope-intercept form.
I think it is done like this but am not sure.
y=(-3/7)x-4
Click here to see answer by checkley71(8403)

Question 129156: state the domain of f(x)=x/x-4
Click here to see answer by edjones(7569)

Question 129269: f(x)=2x^2-x+7 ; g(x)=x-1
find (fog)(X)
I don't even know what this means
Click here to see answer by stanbon(57337)

Question 129424: what in the world is this stuff?
y varies directly as x and inversely as the square root of w; write the sentence as an equation.
Click here to see answer by Earlsdon(6287)

Question 129465: given h(x)=4/18-x (4 over 18-x)

what number(s) are NOT in the domain?
Click here to see answer by Fombitz(13828)

Question 129535: Determine the Domain
h(x)= 6/(x+5)(x-3)
If I were going to pick one, I would say
all real numbers except -5, 3
Click here to see answer by scott8148(6628)

Question 130192: h(x) =2x² -3
find:h(x + 1)
Click here to see answer by jim_thompson5910(28593)

Question 130252: i need your help to find the limit of a function.
as x approaches 0, 3x/x^3-x (3 times x divided by x to the power of 3 minus x)
i've tryed to find an answer to this for days, but am drawing a blank.
thanks in advance
oh yeah, answer says its -3
Click here to see answer by Earlsdon(6287)

Question 130190: solve:
2 x - y = 4
5x - y = 13

Click here to see answer by scott8148(6628)

Question 130300: Rewrite the equation so that y is a function of x
Can you explain this to me please?
4x + 2y = 8x-5
Click here to see answer by checkley71(8403)

Question 130389: Hi!
The question for this is: for the function f(x)= x^2 -2x+1
a)find f(0)
b) solve f(x)=0

Please and Thank You=)
Click here to see answer by jim_thompson5910(28593)

Question 130506: 9u2 - 4
3u2 + 7u - 6
Click here to see answer by jim_thompson5910(28593)

Question 130547: Ok, this question is so confusing, the problem is: If y varies as x^2, and y=2 when x=4, what is the constant of variation?
Please and Thank you=)
Click here to see answer by Earlsdon(6287)

Question 130673: I need to solve for b
1/a + 1/b=c
Click here to see answer by edjones(7569)

Question 130686: Find the domain of x-2y=1 if the range is (-2,0,5,8,)
Click here to see answer by cngriffith(27)

Question 131065: Hello,
I am having a hard time understanding the concept of even and odd Trigonometric Functions and have come to a problem I just do not understand how to solve. The problem is:
Use the even-odd properties to find the exact value of the expression. It may be helpful to draw the unit circle graph. I can input this into a calculator to get the answer, but I need to learn and understand for future studies.
sin(-pi)

Any help or explanation in layman's terms would be appreciated. Thanks so much!
Click here to see answer by stanbon(57337)

Question 131219: if an object is thrown upward with an initial velocity of 64 feet per second from a height of 80 feet, then the height in feet t seconds after it is thrown is given by the function f(t)=-16t^2+64t+80
how long after it is thrown will it hit the ground?
Click here to see answer by stanbon(57337)

Question 131282: Please help me! Cannot figure this out. it says: without drawing the graph of the given equation,determine a)how many x-intercepts the parabola has b)whether its vertex lies above or below or on the x-axis.
y=-x^2+2x-1
Please and THank you=)
Click here to see answer by josmiceli(9674)

Question 131281: Please help me! Cannot figure this out. it says: without drawing the graph of the given equation,determine a)how many x-intercepts the parabola has b)whether its vertex lies above or below or on the x-axis.
y=x^2-5x+6
Please and Thank You=)
Click here to see answer by solver91311(16877)

Question 131473: fine the domain of the following functions
f(x)=(x-4)/(x+5)
g(x)=square root of (5x-1)
pls i need urgent answer
thanks
Click here to see answer by stanbon(57337)

Question 131485:

A tank contains 450 gallons of water and empties 1/2 gallon every hour.
How many hours would it take to reduce the contents of the tank to 350 gallons? (Select one.)
50 hours
100 hours
150 hours
200 hours
250 hours

Click here to see answer by vrv.teja(1)

Question 131545: When You Do X and Y - Intercepts ; Do You Multiply The Veriable You Aren't Using By Zero?
Click here to see answer by checkley71(8403)

Question 131476: "ORANGE THIRST" IS 15% ORANGE JUICE AND "QUENCHO" IS 5% ORANGE JUICE. HOW MANY LITERS OF EACH SHOULD BE COMBINED IN ORDER TO GET 10 LITERS OF A MIXTURE THAT IS 10% ORANGE JUICE?
THANKS
Click here to see answer by checkley71(8403)

Question 131659: ok, what is the domain of the function 5x - 4

Click here to see answer by edjones(7569)

Question 132128: find the domain of f(t) = log(t-5)
Click here to see answer by rapaljer(4667)

Question 132128: find the domain of f(t) = log(t-5)
Click here to see answer by harecurtis(6)

Question 132036: for the functions f(x) = x + 2 and g(x) = x^2 − 4, find the composite function and state its domain. Explain the mistake made.
g(x)/f(x) = (x^2 - 4) / (x + 2) = (x - 2)(x + 2) / (x + 2) = x -2
domain = all real numbers
thanks for your help!
Click here to see answer by dkspoet(13)

Question 132185: find a common solution for each system of equations:
y=x-1
y=2x-5
Click here to see answer by stanbon(57337)

Question 132201: 1) Find the domain of the following:
a) f(t)=log(t-5)
b) g(x)=5e
c) g(x)=ln(x+4)
d) g(t)=5numbers of years
explain how the answer was obtain
Click here to see answer by stanbon(57337)

Question 132237: Domain of the function
15/x^2-400
Click here to see answer by nycsharkman(136)

Question 132241: f(x)=x^2-4x+2 find f(-6)
Click here to see answer by nycsharkman(136)

Question 131165: the number of plants used to fill a row of given length in a garden varies inversely as the distance bettwen the plants. if 75 plants r used to fill the row wen planted 20cm apart, how many plants are used to fill the row when planted 15cm apart?
THX ALOT
Click here to see answer by stanbon(57337)

Question 132287: i did this problem i just want to see if i did it right..

what is the domain?
7-X/5x^2-18x-8

thanks for your help
angela
Click here to see answer by jim_thompson5910(28593)

Question 132271: find h(x)=x-6 if 0<=x<=1 and 3 if x>1 find h(2.5)
Click here to see answer by jim_thompson5910(28593)

Question 132313: A question about domains: What is the domain of the following?
g(x) = 5e(to the x power)
It would seem to me that x could equal anything, therefore the domain would be (-infinity, +infinity), is this correct?
Click here to see answer by jim_thompson5910(28593)

Question 132186: find a common solution for each system of equations:
y=3x+5
y=-5x-3
Click here to see answer by nycsharkman(136)

Question 132186: find a common solution for each system of equations:
y=3x+5
y=-5x-3
Click here to see answer by jim_thompson5910(28593)

Question 132187: Find a common solution for each system of equations:

x=2y 8y=4x
Click here to see answer by checkley71(8403)

Question 132398: Hi, again I need some help this paper is due tomorrow hope someone has time to help. I need to create a function using this information.
year Median Home Cost
1989 $93,100
1990 $97,500
1991 $99,700
1992 $100,900
1993 $106,100
Using the data from 1989 and 1992 determine the values for M and B and then create a linear functionf(x) = mx + b.
m_____; B_____ f(x) = __________.
Thanks for your help.
Click here to see answer by jim_thompson5910(28593)

Question 132577: Aubry's boat goes 20 mph in still water. It travels 75 miles upstream and back in a total time of 8 hours. What is the speed of the current?
Click here to see answer by mathispowerful(115)

Question 132989: What is the difference between domain and range? Describe the values of x that may not be appropriate values even when they are defined by your classmate's functions.
Click here to see answer by vleith(2825)

Question 132987: If f(x) = (x + 48.2)3, what does f−1(−8) equal?

Click here to see answer by vleith(2825)

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