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

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Question 126869: find the area of a hexagon with each side 2 feet long and an apothem the square root of 3 feet long
Click here to see answer by edjones(8007) About Me 

Question 127417: suppose 2.4 million lbs of almonds are sold when the price is $5.50 per pound and 4.8 million lbs of almonds are sold at $4.50 per pound. find a linear function, A(p), that expresses the amount of almonds sold as a function of the price per pound.
Click here to see answer by stanbon(75887) About Me 

Question 127413: USE FUNCTION NOTATION TO WRITE AN EQUATION FOR THE LINE CONTAINING THE POINTS (-2,7) AND (3,-5).
Click here to see answer by BrittanyM(80) About Me 

Question 127371: how do you do? (6,8)(r,-2) m = 1
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Question 127375: I am having a hard time understanding what this question is asking for and what I am suppose to do. Any help is greatly appreciated.
________________________________________________________________________________
Determine the algebraic rule for the line that:
satisfies g(2)=3 and is parallel to y=4/3x+10

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Question 127638: A hot-air balloon is released at 1:00 P.M. and rises vertically at a rate of 4 meters/sec . An observation point is situated at 125 meters from a point on the ground directly below the balloon (see the figure). If t denotes the time (in seconds) after 1:00 P.M., express the distance d between the balloon and the observation point as a function of t.
Please use the notation "sqr(a)" which equals PLEASE PLEASE, HELP

Click here to see answer by josmiceli(19441) About Me 

Question 127841: use g(x)=5/(1-2x) and f(x)=1-x^2

find f(-5)

find the domain of g(x)

Click here to see answer by solver91311(24713) About Me 

Question 124226: Can you please help me answer this question?
The function k(x)=4x-5x^2 is an example of a polynomial function.
True or False?
I'd appreciate your help, thank you.

Click here to see answer by ozymandias(9) About Me 

Question 124612: Determine whether the equation defines y as a function of x:
x-3y=9
This is a take home quizz....this particular problem confuses me.
Thank you so much for your help!!
Livey

Click here to see answer by ozymandias(9) About Me 

Question 128337: consider the following formula
y=3(x+5)(x-2)
which one of the following formulas is equivelent to this one?
A.y=3x(squared)+9x-30
B.y=x(squared)+3x-10
c.y=3x(squared)+3x-10
D.y=3x(squared)+3x-30

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Question 128286: How do you solve this problem 4x plus 8 equals 6y?
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Question 128484: Given

f%28x%29=2x%5E2-3x%2B6

Find f(-4)



Click here to see answer by jim_thompson5910(35256) About Me 

Question 128487: Find the inverse equation of y=root%283%2Cx%2B5%29-4
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Question 128504: Find the domain and range of the following

a)
y=3x-4

b)
y=%28x%2B9%29%2F7

c)

y=x%5E3%2B5

Click here to see answer by jim_thompson5910(35256) About Me 

Question 128507: Find the domain and range of the following

d)
y=7%2F%28x%2B9%29

e)
y=3%2F%28x%5E2-4%29



Click here to see answer by jim_thompson5910(35256) About Me 

Question 128565: Find the domain and range of the following:

a) y=x%5E2%2B3


b) y=x%5E2-5

Click here to see answer by jim_thompson5910(35256) About Me 

Question 128568: Find the domain and range of the following:

c) y=3x%5E2


d) y=x%5E2%2B4x%2B4

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Question 128575: Find the domain and range of the following:

a) y=x%5E2-2

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Question 128576: Find the domain and range of the following:

b) y=%28x-2%29%5E2

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Question 128577: Find the domain and range of the following:

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Question 128578: Find the domain and range of the following:

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Question 128579: Find the domain and range of the following:

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Question 128590: The given function is f%28x%29=20000-15x


Find f%5E%28-1%29%2850%29

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Question 128591: Graph the inverse function

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Question 128610: Let f%28x%29=3x,g%28x%29=3x-3 and h%28x%29=%28f%2Ag%29%28x%29%2B%28f%2Fg%29%28x%29

Complete the table
xf(x)g(x)h(x)
-1-3  
1%2F3 -2 
 12 109%261%2F3





Click here to see answer by jim_thompson5910(35256) About Me 

Question 128612: Make a table of at least 7 ordered pairs that satisfy the equation y=x%5E2-3. Then use your table to graph the function.
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Question 128722: The gravitational forc between two objects varies inversely as the square of the distance between the objects. If a force of 25 pounds results from two objects that are 6 miles apart, ow much force results from the two objects that are 15 miles apart?
my answer is 30 pounds of force

Click here to see answer by Earlsdon(6294) About Me 

Question 128747: This is one that I was not to sure about
7. The future population of a town t years after January 1, 1995 is described in thousands by function

P(t) = 120 + 4t + 0.05t^2. Caluculate the value of P(5) and explain what it means.
P(5) = 120(5) + 4(5) + 0.05(5)^2
P(5) = 600 + 20 + .25^2
P(5) = 620,062.5 is the future population of a town

Click here to see answer by jim_thompson5910(35256) About Me 

Question 128704: Just wanted to see if I had this one right
10. The population of Windham is growing at an annual rate of 0.5%. If the current population 12,520, one function that can be used to predict the future population of Windham is P(t) = 12,520(1.005)t where t represents time in years. Use this function to predict the population of Windham in 10 years.
My answer is
P(t) = 12,520(1.005)T
P (10 * 0.5%) = 12,520(1.005)t
P(5) = 12,582.6(5)
P(5) = 62,913

Click here to see answer by checkley71(8403) About Me 

Question 128700: I need help with this problem
The future population of a town (t) years after January 1, 1995 is described in thousands by function
P(t) = 120 + 4t + 0.05t^2. Calculate the value of P(5) and explain what it means. ok here is my answer
P(t) = 120 + 4t + 0.05t^2
P(5) = 120(5) + 4(5)+ 0.05(5)^2
P(5) = 600 + 20 + .25^2
P(5) = 600 + 20 + .5
P(5) = 620.5
I know I messed up somewhere but I don't know where

Click here to see answer by checkley71(8403) About Me 

Question 128846: Find the function rule for the following input/output function table.
input/output
-2/12
1/9
4/6
What is the function rule?

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Question 128845: Input/Output Table
Input: Output
-2 4
1 1
4 16
What is the funtion rule?

Click here to see answer by stanbon(75887) About Me 

Question 128892: I have a questions dealing with Logarithmic functions. The question I am dealing with is:
We have all heard of carbon dating. Materials are tested for c14 to determine how long ago they lived. Here is how it works. Cosmic ray bombardment of the atmosphere produces neutrons, which in turn react with nitrogen to produce radioactive carbon-14. Radioactive C-14 enters all living tissues through carbon dioxide, which is first absorbed by plants. As long as a plant or animal is alive, C-14 is maintained in the living organism at a constant level. Once the organism dies, C-14 decays according to the equation A=A0e^-0.000124t where A is the amount present after t years and A0 is the amount present at the time of death. If 500 milligrams of C-14 (that is A0=500) are present in a sample from a skull at the time of death, how many milligrams will be present in the sample in 15,000 45000.00 60000 years. From your results, what can you conclude about using C-14 dating on bones from animals believed to exist 200,000,000 years ago? To be honest I am not even sure how to approach this question. Any help will be greatly appreciated. Thanks everyone.

Click here to see answer by stanbon(75887) About Me 

Question 128924: Please help me with question. I do not understand it at all. Thanks so much for your help.

Find the indicated outputs for f(x)=2xto the second power -2x
f(0)=
f(-1)=
f(2)=
thanks again for the help.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 128933: I am studying for a college algebra test and have hit a wall with this question:
Let f(x)= x^3-8x^2+17x-9. Use the factor theorem to find other solutions to
f(x)-f(1)=0, besides x=1.
Can you please explain how to solve this question, I am going to college via online and have to teach myself from the book and I have been doing well thus far, but am struggling to understand some questions in the Polynomial and rational function section. Thank you so much for your time and help. It is very much appreciated!

Click here to see answer by oscargut(2103) About Me 

Question 129034: If f(x)= -x^2-4x+3, find f(-2). Here is what I have tried.
-2^2-4(-2)+3= 4+8+3=15
Does this look correct?

Click here to see answer by checkley71(8403) About Me 

Question 129044: solve for x: 3(x-2)= -4(x+8)+10
Click here to see answer by checkley71(8403) About Me 

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(35256) About Me 

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(35256) About Me 

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) About Me 

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) About Me 

Question 129156: state the domain of f(x)=x/x-4
Click here to see answer by edjones(8007) About Me 

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(75887) About Me 

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, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660