Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

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Question 174247: I don't know how to type this, so I'll try to explain it.
Square root symbol, with 6 outside (but inside the little section), and inside the square root is another square root symbol. Inside this second square root symbol is a 2. Now subtract from that: square root with 12 inside the little part, and inside the square root is 2 with exponent of 13.
Hope this makes sense.
Thanks!

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Question 174268: Problem:
(squareroot)x/(squareroot)x - 3 PLUS 5/(squareroot)x

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Question 174371: Evaluate each expression.....
7. 6P4

8. 5(3P2)

9. 5C2 + 5C1

10. 7C3/7C4
11. There are 14 different types of boxed nails in the hardware store. You plan to buy 5 different types of boxed nails. How many different combinations are there?


12. In how many different orders can six colored blocks be chosen from a set of 23 different blocks?

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Question 174368: please give me the answers to these..THANKS! (' means exponet after..)

Use Pascal's Triangle to expand each binomial.
1. (x – y5)'3
2. (2a + b)'5

3. Use the Binomial Theorem to expand (3x - 2y)4.

4. What is the coefficient of a4b6 in the expansion of (a + b)10?

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Question 174370: Use the Rational Root Theorem to find all the roots of each equation.

4. x'3 + 9x'2 + 19x – 4 = 0

5. 2x'3 – x'2 + 10x – 5 = 0

6. Two roots of a polynomial equation with real coefficients are 2 + 3i and {7} ({} means square root) . Find two additional roots. Then find the degree of the polynomial.


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Question 174369: hello. please help me with these.. ( ' means exponet # after)

Solve each equation.
1. 2x'3 – 5x'2 – 3x + 2 = 2

2. x'3 + 64 = 0

3. x4 – 8x'2 – 9 = 0


Click here to see answer by Earlsdon(6287) About Me 

Question 174122: Divide, and then simplify, if possible.
59.page#540

Simplify the rational expression
1).
%28x%5E2%2B3x-10%29%2F%28x%5E2%2Bx-20%29
2). Divide:
%28%286x%5E2-x-12%29%2F%289x%5E2-16%29%29%2F%28%282x%5E2-7x%2B6%29%2F%283x%5E2-x-4%29%29

Click here to see answer by Edwin McCravy(8909) About Me 

Question 174416: I been working on these problems PLEASE HELP!

1. The body mass index, I, can be used to determine an individual’s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model. I=700W/H2, where W=weight, in pounds, and H=height, in inches. Francis weights 160 pounds and stands 74 inches tall. What is his approximate body mass index? Find an inequality describing all weight W that Francis can have and be in the low-risk category.
Francis’ approximate body mass index is___
(Round to the nearest whole number
Find and inequality describing all weights W that Francis can have and be in the low-risk category,
{W l W< (approximately)__lb}
Round down to the nearest whole pound)


2. Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $120 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pay the first $220, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $220 in bills/
Giselle would save with plan B if she had more than $__in bills.
(Round to the nearest whole number)


3. In order to achieve maximum results from aerobic excise. One should maintain one’s heart rate at a certain level. A 40 year-old woman with a resting heart rate of 60 beats per minute should keep her heart rate between 132 and 156 beats per minute while exercising. She checks her pulse for 10 second while exercising. What should the number of beats be?
The number of beats in 10 sec. should be between ___and ___beats.
(Type the smaller number in the first answer box and the large number in the second answer box.

4. ¾(2x-2)>15
Use set-builder notation to describe the complete solution.
{x l x__ __}
Simplify your answer

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Question 173157: thi is actually a problem from a exam. It is my study for my final but i got it wrong. (125x^6y)3\4 /(8x^2y^4)-1\3
This what I did, (5x^2y^3)2=25x^4y^6 that's what I got for my first answer.
for the bottom fraction I did the following: 1/(8x^2y^4)1/3 My aswer was 25x^4y^6/2x^2/3y^4/3 but the answer was 25x^10/3 all over 2y^2/3 please help,i do not know how to get that answer. On the bottom equation I did not know what to do, because the Index was a negative one over 3. Pleas help is for my final. thank you.

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Question 174507: find f(g(x)) f(x)= x-10 , g(x)= -2x^2-5

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Question 172340: list the possible rational roots of each equation. the determine the rational roots x to the third power + 2x to the second power - 6=o.
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Question 172338: list the possible rational roots of each equation. the determine the rational roots x to the third power + 2x to the second power - 6=o.
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Question 174562: how would you solve: [2(-10+4)/2+3]^2
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Question 174581: I been working on these problems with my daugther but not very good. Question one. Graph the inequality on a plane 8x-7 less than 15x+y. Second problem Graph the system of inequalities. y greater than-3 x greater than 4. Third problem Graph the system of inequalities. x+3y less than 9, 3x+y less than 9, x greater than 0, y greater than 0.
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Question 174597: Help I am unsure about this one
What is a secant line? The equation goes;
Find the equation of the secant line containing (1,f(1)) and (2,f(2)).?
then it gives the problem:
f(x)= 8
___ or 8/x+7
x+7
Can anyone shed some light on this one? Not in my book

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Question 174593: Help I am unsure about this
Determine algebraically whether the function is Even Odd or neither..
f(x)=8^2-6 I choose EVEN is that correct?
and
Graph the FUNCTION by starting with the graph of the basic function and then using the technique of shifting compressin stretching and or reflecting;
f(x)= sqrt over x-1
I know it is x-1= -1 so do I grpah at the neg 1 on the y or x line? How does it look like and where do I go to compute it?
Help

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Question 174598: Help I am unsure about this one
Graph function by starting with the raph of the basic function and then using the technique of shifting compressing stretching and or reflecting
f(x) = 1 / x - 2 (one over X minus 2)
I think the line start on the y axis postive and goes below the x axis to -2 curves to the right and the other line goes up on the y axis and curves on the -2 to the left.
Is that correct?
I am stuck again

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Question 174651: perform the operation and reduce answer to the lowest term:
2 + 3
x-3 3-x

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Question 174646: simplify the complex fraction and reduce answer to the lowest term:
ab + b^2/4ab^5
a+b/6a^2b^4

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Question 174649: perform the operation and reduce answer to the lowest term:
y + 2y
4

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Question 174650: 3 + 2
x+1 x-1

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Question 174648: perform the operation and reduce answer to the lowest term:
a+7 + 9-5a
a-4 a-4

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Question 174639: reduce answer to the lowest term
4 - 1
9 9

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Question 174645: simplify the complex fraction, reduce to lowest terms
matrix%283%2C1%2C1%2F9+%2B+1%2F%283x%29%2C%27---------%27%2Cx%2F9+-+1%2Fx%29

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Question 174635: -7yt = ?
3x 18xyt
thank you

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Question 174643: solve the equation: watch for extraneous solutions:
5 = y+7 +1
y-3 2y-6

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Question 174717: please help me solve this equation.
the directions i was given:
simplify the expression. Write answer with positive exponents.
(xy^2)^-2/(x^2y^3)^-1

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Question 174762: Find the equation of the parabola:
VERTEX = (1, 3)
POINT (3, -5)
Here's what I've got so far...
-5 = a(3-1)^2 + 3
-5 = 3a + 3
-8 = 3a
...am I doing this correctly?

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Question 174770: Write the equation of the line that is parallel to the graph: Y = -4X + 5, and crosses the point (3, 6)
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Question 174768: DIVIDE (X^3 + X^2 - 14X +30) by (X + 5)
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Question 174763: SOLVE:
X + Y + Z = 6
4X + 2Y + Z = 9
7X + 4Y + Z = 9

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Question 174765: Multiply, and then evaluate for X = 4:
9X^2-25
-------
X+3
times
X^2+3X
----------
3X^2+4X-15

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Question 174861: x-4-[7/(x+2)] Divided by x+5+[2/(x+2)]
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Question 174888: Subtract the rational expression.
1 over 5-x minus 4 over 5+x

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Question 174887: The centripetal acceleration, a(exponent sign pointing down)c, of an object moving along a circular path is proportional to the square of the object's velocity, v^2, and inversely proportional to the radius, r, of the circle. What kind of variation is this? Write the equation.
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Question 174898: please help me simplify this radical expression
x+1
-------
x^2+2x+1

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Question 174897: please help me simplify this radical expression
3x-27
-----
x-9

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Question 174894: Find the inverse of +matrix%281%2C3%2C+A%2C+%27=%27%2C+%28matrix%282%2C2%2C-3%2C1%2C-5%2C5%29%29++%29+ if it exists.
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Question 174984: Dash Phone Company ofers several cell phone rate plans. One of these is the Premium Plan. The Premium Plan has a monthly charge of $45 with 300 free minutes and $0.25 per minute for minutes in excess of 300 minutes.
What are the equations, including the domain restrictions, which describe P(t), the Premium Plan?

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Question 174984: Dash Phone Company ofers several cell phone rate plans. One of these is the Premium Plan. The Premium Plan has a monthly charge of $45 with 300 free minutes and $0.25 per minute for minutes in excess of 300 minutes.
What are the equations, including the domain restrictions, which describe P(t), the Premium Plan?

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Question 174766: Find the inverse of
A= (matrix) -3....1
-5....5
if it exists.

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Question 175141: Please help me solve the equation 6/11=114/n?
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Question 175145: what is log10,100?
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Question 175150: what is the value of log10,6.85 to the nearest ten thousandth?
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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