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

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Question 39517: It is estimated that the Earth is losing 4000 species of plants and animals per year. If S represents the number of species living last year year, how many species are on Earth this year..
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Question 39589: Write the equation of the line in slope intercept form given the slope 7/3 and a point (6,8).
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Question 39591: Find y if the line containing (3,-8) + (7,y) has a slope of -4.
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Question 39592: Solve [x-3]=7
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Question 39590: Simplify and leave answer with only positive exponents
x^5
____
y^10

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Question 39588: Factor x^4 - 18x^2 + 81
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Question 39587: Find the slope of the line: 3x - 5y = 12
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Question 39605: Please help me figure out this problem,thank you.
Perform the indicated operations. Remember the rules for the order of operations.
9 - (-2)(-7)

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Question 39625: Why are variables are useful in algebra? What makes the use of variables difficult to understand?
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Question 39805: Factor: (15x)y + 25x + 27y + 45
I am having alot of trouble with factoring so please explain step by step how this is done. The examples in the textbook are hard to follow because I don't know how each step has been arrived at. THANKS!

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Question 39824: For the functions f(x)=4x-1 and g(x)=3-5x^2 find the compostion g of f(x).
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Question 36389: A=3; B=13
G-A=3
F+G=D
C+D+E=B
C-D=G
B+E=C+D Please solve this for me!

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Question 40073: Are you able to answer the following: "find e when d=3e-5be" for some reason i just CAN'T work this one out! please, any help would be much appreciacted.
Thankyou! Elliott

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Question 34627: what is the domain of the square root 2x-1 divided by the square root 1-x.
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Question 40157:
Which property of the real numbers is illustrated by the following statement?
19 + 11 = 11 + 19



A)
Associative property of addition
C)
Commutative property of addition


B)
Distributive property


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Question 40159: Find Ex for the following set of numbers:
–3, 5, –4, 8, –6, 10, –5


A) 5 B) 0 C) 2 D) 6



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Question 40170: Write 1/10 as a percent
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Question 40297:
x - 4\x
________
1 - 2\x

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Question 40309: PLEASE HELP! Am on a maths revision website and just CANNOT work it out! i know it must be real simple, but can't see it! "What is q when: tq-r=3q+p" any help will be appriciated. Thankyou, Elliott. p.s. thankyou to "Stan" for helping me out yesterday!
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Question 40190: Is this relation a function? {(0,5),(1,10),(2,15),(1,20)}
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Question 40472: Could someone please help me understand how to solve this question? I really need help.
Velocity. If a ball is dropped from a height of 256 ft, then the formula
v(t) = -32t
expresses it’s velocity v(t) in feet per second as a function of time t in seconds.
a) Find v(0), the velocity of the ball at the time t = 0.
b) Find v(4).


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Question 40504: a(k)=4k-30,what is the value of a if k equals 15

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Question 40467: I need help with finding the domain of the function:
h(x)=7x over x(x^2-9)

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Question 40349: solve 2y-x=5 if the domain is {-3,-1,5,9}
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Question 40514: I need help at understanding Finding the inverse of the function:
f(x)=4x+1/3. My answer is f^-1(x)=x+1/3over4 for the inverse.
Please let me know the correct way to solve.

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Question 40576: can u solve this?
6r^3+7r^2=r
thank you

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Question 40756: Functions: p(x)=-3x^2+4x+26 g(x)=x^3+5x-18
1. What is the range?
2. Does the function have an absolute maximum or minimum?

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Question 40692: Intersections and Unions
If p={-3,-2,0,1,5}
T={0,1,6,9}
and S={-3,1,6}
find T U S
How do i do This?
Thank you

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Question 40752: I got part a and b of this question , need help with d & C
(of course a word problem) A farmer wishes to enclose a rectangular region bordering a river with fencing, as shown in the diagram. Suppose that x represents the length of each of the three parallel pieces of fencin. She has 600 ft of fencing available.
( the diagram is a rectangle, the top part is water and the rest is fencing, there is a vertical dotted line down the center, it and both the left and right side are labeled x the bottom is just fencing)
a) What is the length of the remaining piece of fencing in terms of x?
---My answer, 600-3x
b) Determine a function(A) that represents the total area of the enclosed region give any restrictions for x.
Since Length and Width cannot be negative i put 600-3x is greater than or equal to zero and solved that, 200 is greater than or equal to x, and x is greater than or equal to x so my solution is
0is less than or equal to x is less than or equal to 200.
NOW FOR THE ONES IM LOST ON>>>>>
c) What dimensions for the total enclosed region would give an area of 22,500 sqaure feet?
and
d) What is the maximum area that can be enclosed?
ELisa

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Question 40691: Intersections and Unions
If y={1,2,3}
find yU0

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Question 40884: Make a table of values for the function rule:
output= 5 input +9

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Question 41007: x -2 -1 0 1 2
y .25 .5 1 2 4
Given the table above, graph the function, identify the graph of the function, explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
Help I am so confused with this!!!
the table doesn't show up but its 6 columns and 2 rows.

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Question 40938: "What is the meaning of open sentences"
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Question 41281: Find Domain of: +%28%28%28x%2B2%29%5E2%29%2F4%29%2B%28%28%28y-3%29%5E2%29%2F25%29=1+
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Question 41623: Find all the real values of x for which the function: f(x) = 18x^3 - 33x^2 + 20x – 4 becomes zero.
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Question 41774: what is the differences of function to relation?
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Question 41773: can u give example of function applying it in real situation?
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Question 41772: can u give example of function applyingit in real situation?
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Question 41922: What is the slope of a binomial 2x+3'
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Question 42034: f(x)=3x-2 and g(x)=1/(2x+3)
solve for (f*g)(-2)

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Question 42114: pg. 432,
find the domain for each of the following funcions.
23. y= x +4 divided by x squared minus 4x
i dont even know where to begin, or what to look for...


teacher: rapalje

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Question 42161: How do you test if something is a function on a graph? ......I remember my teacher saying something about using a pencil and lying it down on the graph, or something like that...please help!!!-I have a final TOMMMORROW!!!
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Question 42051: Please show me how to solve this
Average cost of skateboards. The cost , in dollars of producing x skateboards is given by
C(x) = 5.75x + 34,200
The average cost per skateboards is given by
C(x)= C(x)/x = 5.75 + 34,200/x
Find the average cost per skateboard, to the nearest cent of producing 5,000 and 50000 skateboards.

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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