Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1151158: I need help solving this problem: So far I have this:
x/x2+5x+6 - 2/x2+3x+2
x/(x+2)(x+3) - 2/(x+2)(x+1) but I don't know what to do next.

Click here to see answer by jim_thompson5910(35256)

Question 1151226: Suppose x + (1 / x) = 1
Compute the value of (x^1613) + (x^-1613)
A) 1 / x
B) -1 / 1613
C) x
D) 1 / 1613
E) 3
F) 1 / (x^-1613)
G) 2
H) 1 / (x^1613)
I) none of these
Click here to see answer by MathLover1(20850)

Question 1151303: Evaluate 10!/4!6! please and thanks!
Click here to see answer by Alan3354(69443)

Question 1151339: Let f(x) = 3x^2 and g(x)=3-x Evaluate:
(A) (FG)(5)
(B)(F/G)(5)
(C)(FoG)(5)
Click here to see answer by josgarithmetic(39617)

Question 1151339: Let f(x) = 3x^2 and g(x)=3-x Evaluate:
(A) (FG)(5)
(B)(F/G)(5)
(C)(FoG)(5)
Click here to see answer by MathLover1(20850)

Question 1151339: Let f(x) = 3x^2 and g(x)=3-x Evaluate:
(A) (FG)(5)
(B)(F/G)(5)
(C)(FoG)(5)
Click here to see answer by Theo(13342)

Question 1151634: 2t+t+5=3
Subtract 3 on both sides
2t+t-2=0
AC=4
B=1
Possibilities for products of 4 are (1 and 4), (2 and 2)
I can't find a product of 4 that equals the sum of 1 and this is where I get stuck. I tried to use the quadratic formula, but that did not work out so well. What problems would I use the quadratic formula for?
How do you solve problems like the one above where their is no product of ac that equals the sum of b?
Thank you for your help
Click here to see answer by josgarithmetic(39617)

Question 1151806: find absolute value of each complex number
2+4i=
/4+16
/20= 2/5
my question is how it became from square root of/20 to 2/5?
Click here to see answer by MathLover1(20850)

Question 1151806: find absolute value of each complex number
2+4i=
/4+16
/20= 2/5
my question is how it became from square root of/20 to 2/5?
Click here to see answer by MathTherapy(10552)

Question 1151806: find absolute value of each complex number
2+4i=
/4+16
/20= 2/5
my question is how it became from square root of/20 to 2/5?
Click here to see answer by ikleyn(52787)

Question 1151962: 87 1/2% of $4320= $
Click here to see answer by ikleyn(52787)

Question 1151963: A casino advertises that it gives a 95.2% payback on slot machines, and the balance is retained by the casino. If the amount retained by the casino is $4838, find the total amount played on the slot machines.
The total amount played on the slot machines is $ ______

Click here to see answer by ikleyn(52787)

Question 1152174: Please evaluate 7!/4!3! without a calculator
Thanks!
Click here to see answer by Alan3354(69443)

Question 1152174: Please evaluate 7!/4!3! without a calculator
Thanks!
Click here to see answer by MathTherapy(10552)

Question 1152206: Find the inverse function of y=5x+4
show steps and the complete answer please! Thanks!
Click here to see answer by Alan3354(69443)

Question 1152207: if f(x)= x^2 - 2x+7, find find f(x+h)- f(x)
show steps and complete answer please! Thanks!
Click here to see answer by MathLover1(20850)

Question 1152203: Please solve for x;
(a)logx 121 = 2
(b) log4 1/256=x
(c)log1/3 x=5
show steps please thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 1152203: Please solve for x;
(a)logx 121 = 2
(b) log4 1/256=x
(c)log1/3 x=5
show steps please thanks!
Click here to see answer by MathTherapy(10552)

Question 1152507: If f(x)= 1/x, find f(x+h)-f(x)
Please solve w/ complete answer and steps thanks!
Click here to see answer by josgarithmetic(39617)

Question 1152506: Evaluate 12!/5!7! WITH OUT A CALCULATOR PLEASE and show complete answer thanks!
Click here to see answer by Alan3354(69443)

Question 1152506: Evaluate 12!/5!7! WITH OUT A CALCULATOR PLEASE and show complete answer thanks!
Click here to see answer by MathLover1(20850)

Question 1152506: Evaluate 12!/5!7! WITH OUT A CALCULATOR PLEASE and show complete answer thanks!
Click here to see answer by MathTherapy(10552)

Question 1152510: If f(0) = sin0 and k(0) = tan0, find f(480)+k(390). Do not use a calculator and show fina answer please with steps. thanks
Click here to see answer by greenestamps(13200)

Question 1152510: If f(0) = sin0 and k(0) = tan0, find f(480)+k(390). Do not use a calculator and show fina answer please with steps. thanks
Click here to see answer by ikleyn(52787)

Question 1152556: Please solve for x:
(a)logx 125/216 = 3
(b)log2 1/8 = x
(c)log1/4 x=-3
with steps and complete answers please!
Click here to see answer by josmiceli(19441)

Question 1152551: please find integral of (x^2+1)/(e^x+1)
Click here to see answer by MathLover1(20850)

Question 1152633: Solve, Conjugate(z) - 12/z = 1-i, expressing your answer in the form a + ib where a and b are real numbers. [4 marks]
Click here to see answer by Edwin McCravy(20056)

Question 1152684: Show that: = sin(x) + icos(x)
Click here to see answer by jim_thompson5910(35256)

Question 1152702: Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.8 grams per minute. Seven minutes since the experiment started, the remaining gas had a mass of 392 grams.
Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
Click here to see answer by ikleyn(52787)

Question 1152833: Find & Sketch the locus of if it is purely imaginary. Similarily, Find and sketch if it is real.
How to do these and also how to do a Q that says purely imaginary or real for locus???
Thank you so much
Click here to see answer by ikleyn(52787)

Question 1152837: The points A, B represent complex number z1 and z2 respectively in the complex number plane, such that OAB is an equilateral tringle. O is the origin.
Prove that .
Click here to see answer by ikleyn(52787)

Question 1152856: Find an expression for cos(7A) and hence Solve:
A warning in advance, this Q is really hard, I spent an hour on it and still didn't get it.

Click here to see answer by ikleyn(52787)

Question 1152857: Let tan(A)=1/3 where
a) Show that 4A =
b) Given that , express z = 7 + 24i in the form giving all the possible values of in terms of A.
c) Hence obtain in the form a + ib, the four fourth roots of z.
Click here to see answer by ikleyn(52787)

Question 1152858: i) Expand z = in powers of c
ii) Hence find the 5 real values of c for which z is real.
Click here to see answer by greenestamps(13200)

Question 1152853: , Find the exact values of & , given that these are roots of the eq'n or ?
Thank you so much
Click here to see answer by Edwin McCravy(20056)

Question 1153126: What is domain and range, use interval notation
x + 2 / x^2 + 2x -8
so... x^2 + 2x - 8 cannot be 0
also... (x + (-2)) (x + 4) cannot be 0
and... x cannot be 2, x cannot be -4
is Domain (-infinity,-4) u (-4,2) u (2,infinity)
is Range all real numbers ?
Click here to see answer by MathLover1(20850)

Question 1153216: Write the quadratic equation with a lead coefficient of 1 whose roots are -2 and 7
thanks!
Click here to see answer by josgarithmetic(39617)

Question 1153249: What are the coordinates for the point that is half way between (8,3) and (-2,-5)?
Click here to see answer by MathLover1(20850)

Question 1153271: Use the point-slope form to find a general form of the equation of the line whose slope is -4 and that passes through the point(-2,6). Then transform the equation to the double-intercept form.
Thanks!
Click here to see answer by MathLover1(20850)

Question 1153313: Find the quotient of these complex numbers. (6-7l)/(4-5l)

Click here to see answer by Alan3354(69443)

Question 1154073: NAND.
A NAND is an AND followed by a NOT. The notation
a ↑ b means that a and b are inputs into a NAND. In other words, a ↑ b := ¬(a∧b). The symbol “:=” is deﬁned to be “is deﬁned to be.”
(a) Find the truth table for a ↑ b.
(b) Find the truth table for (a ↑ b) ↑ (a ↑ b).
(c) Prove or disprove (a ↑ b) ↑ (a ↑ b) ≡ a∧b. The symbol ≡ is equivalent to “is equivalent to.”
(d) Prove or disprove a ↑ b ≡ (¬a)∨(¬b).

Click here to see answer by Shin123(626)

Question 1154166: Evaluate Sec 660degrees + Cot 405degrees without using a calculator. Please show steps thanks you!
Click here to see answer by josgarithmetic(39617)

Question 1154166: Evaluate Sec 660degrees + Cot 405degrees without using a calculator. Please show steps thanks you!
Click here to see answer by Alan3354(69443)

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