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

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Question 416185: A restaurant has some fixed operating costs and some that vary with the number of people in attendance. If 4000 people visit a restaurant in one month, the operating costs are $1300. If 2800 people visit the restaurant the operating costs are $970. What would be the operating costs for this restaurant in a month where only 1500 people visit the restaurant?

I can't even begin to put this in a f(x) type problem. I was trying to come up with possible fixed costs that would work first in my head (for example $300 so then $1000 for 4000 people and $700 for 2800 people but the $970 is off. I am stuck!
Click here to see answer by ankor@dixie-net.com(22740)

Question 416528: Give the functions for the following relations: (1,1) , (3,11) , (5,21) , (7,31) , (9,41).
Click here to see answer by stanbon(75887)

Question 416579: Hi did I solve this correctly?
solve if f(x)= -2x^2+6 , find the value of f(-3)
My solution:
-2(-3)^2+6=-12 Or is the answer 42
your help is greatly appreciated. Thanks
Click here to see answer by richard1234(7193)

Question 416708: Give your own example of a function using a set of at least 4 ordered pairs. The DOMAIN will be any four integers between 0 and +10. The RANGE will be any four integers between -12 and 5. Your example should
Click here to see answer by richard1234(7193)

Question 416754: solve for x:
x^2+5x=24
Click here to see answer by mananth(16946)

Question 416970: (f-g)(-2) when f(x) = 4x�-4, g(x) = x+4
Click here to see answer by Gogonati(855)

Question 417010: How do i find the domain for f(x)=sqrt(x^(2))-6x+8
Click here to see answer by Gogonati(855)

Question 417472: In a quadractic equation ax2 +bx + c= 0, the discriminant is given by b2-4ac. How many different solutions does the equation have if
a. b2 - 4ac=0. B. b2-4ac = -3, and c. b2-4ac=11
Click here to see answer by dnanos(83)

Question 417982: i neeed hellpp !!
the problem iss f(x)=3over2x+6 when x=2
i dont understand how to get the answer or how to set up the proble
Click here to see answer by stanbon(75887)

Question 418031: for what values of k will make the system 5x-2y+7=0 and 10x-4y+k=0 dependent?
Click here to see answer by robertb(5830)

Question 418099: find the indicated outputs for
f(x)=3x�-3x
f(0)=
f(-1)=
f(2)=

Click here to see answer by MathLover1(20849)

Question 418782: Determine the difference quotient for f(x) = x� + 3x

Click here to see answer by Edwin McCravy(20054)

Question 419082: the______________is the set of all values a function will accept as all input.
Click here to see answer by richard1234(7193)

Question 420093: 5r-3s=17
3r+5s=51
Elimination Method
Click here to see answer by stanbon(75887)

Question 420093: 5r-3s=17
3r+5s=51
Elimination Method
Click here to see answer by mananth(16946)

Question 420104: I do not understand the meaning of this problem and how to work it out, any help would be appreciated. Thanks,
y varies jointly with x squared. If y = 1/4 when x=1, find the equation for y in terms of x
Click here to see answer by stanbon(75887)

Question 420451: The function f(x)=900(0.5)^x/100 models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 90 years. Round to the nearest whole number.
a.) 482 pounds
b.) 405 pounds
c.) 417 pounds
d.) 500 pounds
Click here to see answer by josmiceli(19441)

Question 420635: Find the slope if it exists, of the line containing the pair of points.
(5,8) and (9,-8)
Click here to see answer by nerdybill(7384)

Question 421085: what is the domain of the function f(x)= x+10/x^2+2x-15
Click here to see answer by MathLover1(20849)

Question 421105: The function, p(d)= 1 + d/33, gives the pressure, in atmosphere(atm), at ahe depth d in the sea (d is in feet). Note that p(0)= 1 atm, p(33)=2 and so on. Find the pressure at 90 feet.
The pressure at 90ft. is --?-- atm
Click here to see answer by richard1234(7193)

Question 421115: inverse of the function f(x)=-8x+4/-6x-3
Click here to see answer by stanbon(75887)

Question 421096: find the slope and the y-intercept of the line. Write the fractional answer in lowest terms. y = -6/5x - 5/6
the slope is ?
the y-intercept is (0,?)
Click here to see answer by mananth(16946)

Question 421100: Find the slope, if it exists, of the line containing the pair of points.
(-11.1,4.4) and (-10.9,4.1)
the slope is ?
Click here to see answer by dnanos(83)

Question 421141: Find the domain of the function: h(x)= 7x/x(x^2-9)
Not sure of the steps, thank you for your help!

Click here to see answer by robertb(5830)

Question 421098: Given the function f described by f(x)= 10x,find each of the following
a)f(-17)=
b)f(14)=
c)f(33)=
Click here to see answer by rfadrogane(214)

Question 421253: Find the slope and y-intercept of the line. Write fractional answer in lowest terms.
7y + 9x + 5 = 18 + 9x
slope is ?
y-intercept is (0,?)
Click here to see answer by josmiceli(19441)

Question 421248: Find the equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b. (-9,-9)and (4,4)
What is an equation of the line?
y = ?
Click here to see answer by Alan3354(69443)

Question 421245: Find the slope-intercept equation of the line that has given characteristics.
Slope 2 and y-intercept (0,9)
The slope-intercept equation is y= ?
Click here to see answer by rfer(16322)

Question 422165: give the domain of the function
f(x)=sqrt(5-x)
Click here to see answer by MathLover1(20849)

Question 422527: simplify x^2+5xd-6 divided by x^2-36
Click here to see answer by ewatrrr(24785)

Question 422923: Find any value (s) for which the rational expression is undefined.
X2-4/5x-10
Click here to see answer by jim_thompson5910(35256)

Question 423036: What is the domain for f(x)= 1/x ? I need an explaination, thank you.
Click here to see answer by stanbon(75887)

Question 423357: What is the value of g(x) - f(x) if:
f(x) = 2x + 4
g(x) = 3x - 2
x = 12?
Click here to see answer by Theo(13342)

Question 423419: I'm trying to understand this problem from my SAT book. It says to
Find h(4)-h(1) It tells me the answers are h(4)=13 and h(1)=8 and then 13-5=5 but I don't understand how it get 13 and 8.
Thanks

Click here to see answer by jsmallt9(3758)

Question 423472: If f(x)=5, what does f(7)=?
Click here to see answer by Alan3354(69443)

Question 423655: Does the following quadratic have a graph that opens up or opens down?
f(x) = -3x2 + 5x - 7

Click here to see answer by Alan3354(69443)

Question 423656: What is the vertex of the equation f(x) = 2(x-4)2+5
Click here to see answer by Alan3354(69443)

Question 423688: What would be the vertex of the following:
f(x)=x^2+10x+9

Click here to see answer by Alan3354(69443)

Question 423733: Is the following statement true or false?
The verticle line test says that a graph is a function if no verticle line crosses the graph at more than one point.
Click here to see answer by jim_thompson5910(35256)

Question 423913: what is the greatest number that you can fill in here 3x- <20
Click here to see answer by MathLover1(20849)

Question 423759: Please help me figure out the domain of the function

Click here to see answer by ankor@dixie-net.com(22740)

Question 424011: A little help please?...
Given the function: f(x)=-2x^2+8x+1
Find the value of f(-3)
Thank you in advance!! :)
Click here to see answer by robertb(5830)

Question 424112: What would the axis of symmetry be in the following function?...
h(x)=-4(x+6)^2+7
Thank you in advance!! :)
Click here to see answer by Gersid(33)

Question 424266: I home school, I need to be able to explain this equation to student. I am lost, book is somewhat brief on procedure. Please help! thank you in advance
For the function f(x)=x^2-2x+1,
(a)find f(1)
(b) solve f(x)=0
Graph the function y=f(x)=x^2+1
Thank you for your help regarding this problem
Click here to see answer by AnlytcPhil(1806)

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