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

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Question 370492: Examine the rise in gasoline prices from 2004 to 2010. The price of regular unleaded gasoline in January 2004 was $1.65 and in January 2010 the price of regular unleaded gasoline was $2.72. Use the coordinates (2004, 1.65) and (2010, 2.72) to find the slope (or rate of change) between the two points. Describe how you arrived at your answer.
Click here to see answer by robertb(5830)

Question 370800: x + 5 divided by x^2 - 49
Find the domain of the rational function.
Click here to see answer by stanbon(75887)

Question 370967: Given the function F(s) = 8s + 7, find each of the following
F(1)=
F(-10)=
F(6.9)=
Click here to see answer by neatmath(302)

Question 371291: 1. Jeans are on sale for 20% off the regular price. Which function would give you the total cost for purchasing a pair of jeans that costs x dollars?
f(x) = 0.2x
f(x) = 0.2x - x
f(x) = x - 0.2x
2. Which of the following functions represents a cell phone bill if there is a monthly charge of 20 dollars plus 6 cents for each minute of use?
f(x) = 20 + 6x
f(x) = 20.06x
f(x) = 20 + 0.06x
3. To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total cost to bowl g games?
f(g) = 5.25g
f(g) = 2 + 3.25g
f(g) = 2g + 3.25g
4. Which equation could represent "the area of a square as a function of a side"?
A(s) = 2s
A(s) = 4s
A(s) = s2
5. Which equation could represent "the total cost of popcorn at the movie that sells for $2.50 each if p packages of popcorn are purchased"?
C(p) = 2.50p
C(p) = 2.50 + p
C(2.50) = p
Click here to see answer by ewatrrr(24785)

Question 371286: Which of the following functions represents a cell phone bill if there is a monthly charge of 20 dollars plus 6 cents for each minute of use?
f(x) = 20 + 6x
f(x) = 20.06x
f(x) = 20 + 0.06x
Click here to see answer by stanbon(75887)

Question 371315: 1. Find the 20th term of the following sequence.
-6, -4, -2, 0, ...
32
44
46
2. What is the next term for the given arithmetic sequence?
-3, -2.25, -1.5, -0.75, ...
-0.25
0
0.75
3. Find the common difference for the sequence shown.
56, 49, 42, 35, ...
-12
-7
7
4. The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
14/13
25/7
4
5. Which of the following is an arithmetic sequence?
0, 2, 4, 6, ...
1, 2, 4, 8, ...
1, 4, 8, 13, ...
6. Which of the following equations could be used to solve for the tenth term of the following sequence?
15, 13, 11, 9, ...
A(10) = 15 + 10(-2)
A(10) = 15 + 9(-2)
A(10) = 15 + 9(2)
A(10) = 15 + 10(2)
7. Find the common difference for the given sequence.
1.05, 1.1, 1.15, 1.2, ...
0.005
0.05
0.5
8. Find the common difference of the arithmetic sequence shown.
1/4,3/8,1/2
1/16
1/8
1/4

Click here to see answer by ewatrrr(24785)

Question 371329: 1. Determine the constant of variation for the direct variation given.
R varies directly with S. When S is 16, R is 80.
1/5
5
16
2 Tomar's paycheck varies directly with the hours he works. When Tomar works 5 hours, he gets paid $60.00. How much does Tomar make in 8 hours?
$75
$80
$96
$120
3. Y varies directly with X and has a constant rate of change of 6. When the value of Y is 11, then the value of X could be _____.
equal to zero
less than 2
equal to 6
greater than 11
4. Determine the constant of variation for the direct variation given.
(0, 0), (3, 12), (9, 36)
3
4
12
5. Select all of the following that are a direct variation.
Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.
Arcade games are 50 cents or $1.
To go tubing it is $5 to rent the tube and $7 for each hour.
6. Determine the constant of variation for the direct variation given.
Fat calories varies directly with the grams of fat. There are 27 calories for each 3 grams of fat.
1/9
3
9
Click here to see answer by stanbon(75887)

Question 371463: What can I get for Christmas ?
Click here to see answer by Fombitz(32388)

Question 371463: What can I get for Christmas ?
Click here to see answer by Alan3354(69443)

Question 371551: determine whether this equation represents y as a function of x
y+5=0
Click here to see answer by Fombitz(32388)

Question 371623: find the domain of the function f(x)=3x+4
Click here to see answer by stanbon(75887)

Question 371625: find the domain of the function g(s)=5/3s-9
Click here to see answer by edjones(8007)

Question 371666: i need help with evaluating the function at each specified value of the independent variable and simplifing it.
(ALL IN BIG BRACKET)
f(x) = {x^2 + 2, x <= 1
{2x^2 + 2, x > 1
A) f(-2) B) f(1) C) f(2)
im not sure how to work in the a, b and c to the question. we are also doing closed and open circles, our teacher doesnt explain it well enough, im not sure how to do it. i just need help to work it out and im sure i will be fine. THANK YOU!!!!!!
Click here to see answer by Fombitz(32388)

Question 371635: find the average rate of change of the function from x1 to x2.f(x)=-x+8x-4 x1=0,x2=4
Click here to see answer by Fombitz(32388)

Question 371732: WHAT IS THE POSITIVE SLOPE OF A RAMP WITH A VERTICAL RISE OF 24 FEET AND A HORIZONTAL RUN OF 40 FEET ?
Click here to see answer by rfer(16322)

Question 371765: Find the domain of the function: f(x)=sqrt(9-x^2)
Thanks.
Click here to see answer by robertb(5830)

Question 371765: Find the domain of the function: f(x)=sqrt(9-x^2)
Thanks.
Click here to see answer by edjones(8007)

Question 371820: For f(x) = sin(1/x) , what is the set the set of real numbers which makes this function continuous? In other words, where is this function not continuous?
Click here to see answer by robertb(5830)

Question 371895: 1. If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?
2
11
12
Click here to see answer by rfadrogane(214)

Question 371895: 1. If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?
2
11
12
Click here to see answer by Jk22(389)

Question 371898: Please i need help with this homework thanks can you please help me.
1. A line has a slope of 1/2 and a run = 50. What is the rise?
25
50
100
2. A line has a rise of 3 and a run of 12. What is the slope?
1/3
1/4
4
3. Using the given points, determine the slope.
(0, 32) and (100, 212)
slope = -9/5
slope = -5/9
slope = 5/9
slope = 9/5
4.Using the given points, determine Δy.
(-3, -5) and (0, 10)
Δy = 3
Δy = 5
Δy = 13
Δy = 15
5. Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = 0
slope = -5
slope is undefined
6. A line has a rise of 6 and a slope of 1/20. What is the run?
30
90
120
Click here to see answer by Fombitz(32388)

Question 372060: how do you get the answer for 16y=1-[24]

Click here to see answer by Fombitz(32388)

Question 372238: Find the value of f(x)+-x^2-6x-7 when x+-2.
Click here to see answer by robertb(5830)

Question 372260: Suppose that the functions g and h are defined for all real numbers x as follows.
g(x)=x-4
h(x)=4x+2
Write the expression for (g-h)(x) and (g*h)(x) and evaluate (g+h)(-2)
(g-h)(x)=
(g*h)(x)=
(g+h)(x)=

Click here to see answer by solver91311(24713)

Question 372483: Question 372260: Suppose that the functions g and h are defined for all real numbers x as follows.
g(x)=x-4
h(x)=4x+2
Write the expression for (g-h)(x) and (g*h)(x) and evaluate (g+h)(-2)
Below are my answers but I'm not sure if I got it right. Thanks
(g-h)(x)= 8
(g*h)(x)=52
(g+h)(-2)= -12

Click here to see answer by Fombitz(32388)

Question 372484: s(y)=3x/y+5
Click here to see answer by Fombitz(32388)

Question 372997: (0,1)(1,3)(2,9)(3,27)(4,81) what rule represents this function?
Click here to see answer by robertb(5830)

Question 372964: The following set of ordered pairs represents a function. Write a rule that represents the function.(0,1)(1,0.5)(2,0.25)(3,0.125)(4,0.0625)
Click here to see answer by robertb(5830)

Question 373003: (0,1)(1,0.5)(2,0.25)(3,0.125)(4,0.0625)what is the rule for this function and can you please show how you got the answer
Click here to see answer by robertb(5830)

Question 373074: (0,-2)(1,-1)(2,2)(3,7) What is the rule for this function and please show work.
Click here to see answer by Jk22(389)

Question 373510: 3x-11y=9
-9x+33y=18
Click here to see answer by robertb(5830)

Question 373791: This is my first time on this website, so I'm sorry if I chose the wrong subject, but here's my question. How would you solve the answer to Y/3-4=12 ?
So it is the fraction Y over 3 subtract 4 equals 12. I need the steps to solve it not just the answer, so when I have future problems like this I'll know how to do it. Thank you for the help! And also in the problem you must write y as a function of x and evaluate when x is -2, 0, and 2. Thanks again!
Click here to see answer by checkley77(12844)

Question 373995: A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $38 per pair of shoes. The shoes will sell for $108 for each pair. What is the profit if 600 pairs are sold?
Click here to see answer by SadieKhan(31)

Question 373946: Hi
Please can somebody help with this problem
i) The variables x and y are given in terms of the parameter t as x = 3t(1 + t^3) and y = 3t^2(1 + t^3). Prove
that
dy/dx = t(2 + 5t^3)/1 + 4t^3
ii) A cycloid is a curve traced out by a point on the rim of a wheel as it rolls along the ground. Its curve may
be given parametrically by x = a(t - sin t) and y = a(1 - cos t), where a is a constant. Show that
dy/dx = cot(t/2)
Thanks
Click here to see answer by Alan3354(69443)

Question 373470: The variables x and y vary directly. Use the given value of the variables to write an equation that relates x and y.
x=-2 y=-2
Click here to see answer by rfadrogane(214)

Question 374262: Express the length L of a chord of a circle with radius 10cm as a function of the central angle
Click here to see answer by Edwin McCravy(20054)

Question 374961: f(x)=square root of (12-x)
Click here to see answer by Fombitz(32388)

Question 374969: Find the inverse function of f.
f(x)=square root of (12-x)
Click here to see answer by Fombitz(32388)

Question 374921: How to solve: Using the coordinates (1997,1.26) and (2006, 2.31) to find the slope, or rate of change between two points and decribe how to arrive at this answer
Click here to see answer by Fombitz(32388)

Question 374995: y is 50 when x is 12.5. Find x when y is 80
Click here to see answer by solver91311(24713)

Question 375006: If T(x)=5, find T(-3)
Click here to see answer by Fombitz(32388)

Question 374994: y is 21 when x is 3
Click here to see answer by Alan3354(69443)

Question 375097: What is the transformation if h(x) = 2 f(x)?
-I believe this would be a vertical stretch by a factor of 2.
If (-1,3) is a point on f(x), what is the corresponding point on h(x)?
-Does this mean 2(y-value)? So, (-1, 6)?
Click here to see answer by jim_thompson5910(35256)

Question 375320: I am trying to come up with an algebraic equation to determine the cost of two refrigerators with good energy ratings. I found one with that will cost .1143 cents per kWh and it boasts that it uses 486 kWh per year. I want to compare it with another one I found that will cost .1143 cents per kWh. This one uses 526 kWh per year. If the purchase price of the first refrigerator is $950 and the second is $875, which one will be the better buy after 10 years?
I'm sorry for the long question, I hope someone out there can give me an algebraic equation for putting this all together. I'd like to use it again for other appliances in the future.''.

Click here to see answer by mananth(16946)

Question 375510: Find a formula for a function f(x) for which f(-2) = 3. Hint: There are multiple answers. You only need to find one. Your answer should be a function of x. For example, f(x) = -x+1.
Click here to see answer by Fombitz(32388)

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