Tutors Answer Your Questions about Rational-functions (FREE)
Question 197365: Simplify by taking the roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers:
cube root of 512x^8 / cube root of y^3
I got  as an answer. Is this right?
Click here to see answer by Alan3354(30993)   |
Question 197324: Could you please tell me if these are correct. Thank-you!
1. Give exact and approximate solutions to three decimal places.
(x+2)^2=64
Answer: x=6,-10
2. Find the vertex
f(x)=1/3(x+5)^2+6
Answer: (-10,0)
3.Find the x-and y- intercepts
f(x)=16x^2+24x+9
Answer x=3/4,y=9
4.Find and label the vertex and the line of symmetry.
f(x)=2(x-2)^2
Answer (2,0)
5. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x)=6-x^2
Answer: 0,-x^2
Click here to see answer by solver91311(16897)  |
Question 197622: Okay, here it is.
Sketch the graph of the rational function.
y=(x-2)/(x-3)
I don't remember seeing problems like this, but I'm thinking that if this follows suite with some of the other problems I've done in this review packet, the x-3 on the bottom means the graph is shifted right 3 spaces, making the vertical asymptote x=3. I think the x-2 on the top tells us how close the two segments of the graph are to 0,0 (relative to where the asymptotes have moved the graph, that is).
Am I on the right track? any explanation would be greatly appreciated.
Thanks
-Dudewhoneedshelp
Click here to see answer by stanbon(57361) |
Question 197828: A six passenger plan cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amout of times as it flies 5 miles against the wind, then what is the wind speed?
I am looking for the formula or the way to arrange the equation. I think it might be D=r/t but I'm not sure. I'll solve once I know the formula or how to arrange the equation.
Thanks so much!!
Amber
Click here to see answer by jim_thompson5910(28595) |
Question 198182: Describe the transformations on the following graph of . State the placement of the horizontal asymptote and y-intercept after the transformation. For example, horizontal shift to the left 1 or reflected about the y-axis are descriptions.
a)
Description of transformation:
Equation(s) for the Horizontal Asymptote(s):
y-intercept in (x, y) form:
b)
Description of transformation:
Equation(s) for the Horizontal Asymptote(s):
y-intercept in (x, y) form:
3) Describe the transformations on the following graph of . State the placement of the vertical asymptote and x-intercept after the transformation. For example, vertical shift up 2 or reflected about the x-axis are descriptions.
a)
Description of transformation:
Equation(s) for the Vertical Asymptote(s):
x-intercept in (x, y) form:
b)
Description of transformation:
Equation(s) for the Vertical Asymptote(s):
x-intercept in (x, y) form:
4) The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by
A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Suppose you deposit $2,000 for 5 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the nearest cent.
Answer:
Show work in this space. Use ^ to indicate the power or use the Equation Editor in MS Word.
b) Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the nearest cent.
Answer:
Show work in this space:
c) Does compounding annually or quarterly yield more interest? Explain why.
Answer:
Explain:
d) If a bank compounds continuously, then the formula used is
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the nearest cent.
Answer:
Show work in this space:
e) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Answer:
Show work in this space:
5) Suppose that the function represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step when necessary.
a) Use this model to determine the percentage of spam in the year 2003. Round your answer to two decimals places.
Answer:
Show your work in this space:
b) Use this model to determine in how many years (to two decimal places) it will take for the percent of spam to reach 95% provided that law enforcement regarding spammers does not change.
Answer:
Show your work in this space:
Click here to see answer by solver91311(16897) |
Question 198236: Could you tell me please if these are correct.
1. root12((-10))^12
Answer N not a real number
2. Use the foil method to find the product
(9x^8-7)(x^9-5)=
Answer 9x^17-7x9-45x^8+35
3. For the following equation state the value of the disctiminant and then describle the nature of the solution
12x^2-8x+7=0
Answer -272
4. Factor
a^2+6a+9=
Answer (a+3)^2
Click here to see answer by jim_thompson5910(28595) |
Question 198305: Could you recheck theses over. I am doing a test and unsure.
1. Multiply
(-3z)^2(2z^2)^3
answer 72z^8
2. Simplify by factoring assume that all expressions under radical represent nonegative numbers
sqrt45a^2b
Answer 3asqrt5b
3, multiply and simplify assume variable represent nonzero real numbers
b^19 b^0
Answer No solution
4.Rewrite with a rational exponent
root7:sqrt19
answer 19^(1/7)
5. multiply
(a+t)(a^2-at+t^2)
answer a^3=t^3
6. Rationalize the denominator, assume that all expressions under radicals represent positive numbers
sqrt u-sqrt v/sqrt u+sqrt v
u+v-2sqrt(uv)/(u-v)
Click here to see answer by jim_thompson5910(28595) |
|
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
|
