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

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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 40865: IF f(4)=0 and f(6)=6 find f(x).
Click here to see answer by rajagopalan(158) About Me 

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!!!
Click here to see answer by fractalier(2101) About Me 

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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Question 42690: What values are excluded from the domain of the of this function => f(x)= 1/(x-1)? Thanks!
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Question 42690: What values are excluded from the domain of the of this function => f(x)= 1/(x-1)? Thanks!
Click here to see answer by Nate(3500) About Me 

Question 42694: Can you please tell me what value is excluded from the domain of this function: h(x)= (x+3)/(x+8)? Thanks!
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Question 42694: Can you please tell me what value is excluded from the domain of this function: h(x)= (x+3)/(x+8)? Thanks!
Click here to see answer by Nate(3500) About Me 

Question 42695: Can you please tell me what values are excluded from the domain of this function: f(x)= 3x+2 ? Thanks!
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Question 42696: Hi, can you please tell me what are the excluded values of the following function: (3-5x)/5 ? Thanks!
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Question 42696: Hi, can you please tell me what are the excluded values of the following function: (3-5x)/5 ? Thanks!
Click here to see answer by Nate(3500) About Me 

Question 42697: Hello, what value is excluded from the domain of the function: 1/2(x)^2 ? Thanks!
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Question 42719: Can someone please help me solve this problem:
For what value of k is f(g(x)) = g(f(x))?
f(x)=3x+k and g(x)=x-4/3
I think when k is found we inverse it but I am drawing a blank - please help

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Question 42718: y=square root of 25-x^2
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Question 42742: The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
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Question 42972: A wire of length x is bent into the shape of a circle. Express the circumference C of the circle as a function of x.
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Question 42972: A wire of length x is bent into the shape of a circle. Express the circumference C of the circle as a function of x.
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Question 42969: The perimeter of a rectangle is 30 feet. Write the area of the rectangle as a function of the width, x.


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Question 42969: The perimeter of a rectangle is 30 feet. Write the area of the rectangle as a function of the width, x.


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Question 42967: Find the inverse of the function given by the ordered pairs below:
(5, -2) (7, -1) (8, 4) (9, 2) (3, 0)
a. (-5, 2) (-7, 1) (-8, -4) (-9, -2) (-3, 0)
b. (5, -2) (7, -1) (8, 4) (9, 2) (3, 0)
c. (-2, 5) (-1, 7) (4, 8) (2, 9) (0, 3)
d. (2, -5) (1, -7) (-4, -8) (-2, -9) (0, -3)
e. None of the others

Click here to see answer by Nate(3500) About Me 

Question 43158: Use your calculator to evaluate the function y = 0.78x+1 at the value x = 2.83. Give your answer rounded to two decimal places.
a. 0.39
b. 1.50
c. 1.00
d. 5.71
e. None of the others

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Question 43155: Find the degree of the following polynomial function:
f(x) = 4(x + 3)(x- 2)2

a. 1
b. 2
c. 3
d. 4
e. None of the others

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Question 43185: Find the range and horizontal asymptote of the exponential function y = 3^x - 1.
a. Range: (-1, inf)
Horizontal asymptote: y = -1

b. Range: (0, inf)
Horizontal asymptote: y = 0

c. Range: [0, inf)
Horizontal asymptote: y = 0

d. Range: All real numbers
Horizontal asymptote: None

e. None of the others

Click here to see answer by Nate(3500) About Me 

Question 43182: Find the domain and the y-intercept of the exponential function y = 2^(x-1).
a. Domain: All real numbers
y-intercept: (0, 1/2)

b. Domain: All positive numbers
y-intercept: (0, 1/2)

c. Domain: All real numbers
y-intercept: (1/2, 0)

d. Domain: All positive numbers
y-intercept: (0, 1)

e. None of the others

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Question 43182: Find the domain and the y-intercept of the exponential function y = 2^(x-1).
a. Domain: All real numbers
y-intercept: (0, 1/2)

b. Domain: All positive numbers
y-intercept: (0, 1/2)

c. Domain: All real numbers
y-intercept: (1/2, 0)

d. Domain: All positive numbers
y-intercept: (0, 1)

e. None of the others

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Question 43181: Find the range and horizontal asymptote of the exponential function
y = 3^x - 1.
a. Range: [-1, inf)
Horizontal asymptote: y = -1

b. Range: (0, inf)
Horizontal asymptote: y = 0

c. Range: [0, inf)
Horizontal asymptote: y = 0

d. Range: All real numbers
Horizontal asymptote: None

e. None of the others

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Question 43157: Find all real zeros of the function given below.
f(x) = x3 - 8x - 3

a. rational zero at x = -3
irrational zeros at x = 5.23 and x = 0.76
b. rational zero at x = 3
irrational zeros at x = -0.38 and x = -2.62
c. rational zero at x = -3
irrational zeros at x = 2.62 and x = 0.38
d. rational zero at x = 3
irrational zeros at x = -0.76 and x = -5.23
e. None of the others

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Question 43192: List the potential rational zeros of the function below.
f(x) = 6x^4 + 2x^3 - 3x^2 + 2

a. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2
b. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2, 3, -3
c. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 1, -1, 2, -2
d. 1/2, -1/2, 3/2, -3/2, 1, -1, 2, -2, 3, -3, 6, -6
e. None of the others

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Question 43192: List the potential rational zeros of the function below.
f(x) = 6x^4 + 2x^3 - 3x^2 + 2

a. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2
b. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2, 3, -3
c. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 1, -1, 2, -2
d. 1/2, -1/2, 3/2, -3/2, 1, -1, 2, -2, 3, -3, 6, -6
e. None of the others

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Question 43156: List the potential rational zeros of the function below.
f(x) = 6x4 + 2x3 - 3x2 + 2

a. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2
b. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2, 3, -3
c. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 1, -1, 2, -2
d. 1/2, -1/2, 3/2, -3/2, 1, -1, 2, -2, 3, -3, 6, -6
e. None of the others

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Question 43202: i need help on dis problem:what is the x-intercept for the function y=-3x+7
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Question 43200: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x.
a. d(x) = sqrt(2x2 + 2x + 1)
b. d(x) = 2x + 1
c. d(x) = sqrt(2x2 + 1)
d. d(x) = sqrt(2) x + 1
e. None of the others

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Question 43153: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x.
a. d(x) = sqrt(2x2 + 2x + 1)
b. d(x) = 2x + 1
c. d(x) = sqrt(2x2 + 1)
d. d(x) = sqrt(2) x + 1
e. None of the others

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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