Homework Statement
when the polynomial f(x) is divided by (x-1) the remainder is 2, and when f(x) is divided by (x-3) the remainder is 4. Find the remainder when f(x) is divided by x2 - 4x + 3.
The Attempt at a Solution
i thought of adding the remainders since x2 - 4x + 3 =...
Homework Statement
part of the question is:
g:x = b - \sqrt[3]{x}
x is real
Solve g(x2) = g(x) - 6
Show that:
g(x6) + 4g(x3) \leq 5b + 4 for all real values of x
The Attempt at a Solution
If i at least have a hint on how to start the first part i guess i'll be...
2) log(log(log(log x))) = 0
log(log(log x)) = 100 = 1
log(log x) = 101 = 10
log x = 1010
x = 101010
oooh ok... now i see my mistake! i tried doing the calculation in my head... so foolish of my part
errm, for #1
d'you mean that i should break the 0.8451515151 into 0.84 + 0.005151515151...
thank you HallsofIvy, i got the solution to #2.
but i still cannot understand how come the two circles with the diagonals of the rectangle as diameter will be the same.
these are numbers i could not solve. please help me.
Homework Statement
1) If the repeating decimal 0.8451\bar{51} is represented by the fraction a/b, where a and b are positive integers with no common factors greater than 1, find the sum a + b.
2) if log(log(log(log x))) = 0 and log...
sorry. the question is:
#2 For what value of the coefficient a do the equations x2 -ax + 1 = 0 and x2 - x + a = 0 have a common real solution?
for #3 the booklet says the answer is 5. i don't understand how. it is a rectangle. so the pair vertices are all different!
thanks!
Homework Statement
#1 If |x -2| < p, where x < 2, then x - p =
i have obtained an inequality at most.
#2 For what value of the coefficient a do the equations x2 -ax + 1 = 0 and x2 - x + a = 0.
#3 Let R be a rectangle. How many circles in the plane of R have a diameter both of...
you really should use logic.
you need to place arrange 3 men first. that's 3!
(you have to take the first man from a group of 3, which gives you 3 choices, then the second from a group of 2, giving you 2 choices, and then the last man from a group of 1 man, giving you only one possibility)...
bah yeah, the competition is for next month, i was just practicing some questions. Thank you Gib_Z for the method of proceeding.
for number 2, what i understood was that the singer sings 3 times a line and there are four lines in all. the first singer obviously starts first, after he finishes...
Homework Statement
ok, I've got several questions:
1. which integer is closest to \sqrt{1994 + \sqrt{1994}}
A. 44
B. 45
C. 46
D. 47
E. 48
2. Four singers take part in a musical round of 4 equal lines, each finishing after singing the line through three times. The second singer...
Homework Statement
let x and y be positive integers and n = x^y
If n + n^(1/2) + n ^(1/3) = 76, then x cannot equal
A. 64
B. 16
C. 8
D. 4
E. 2
Homework Equations
The Attempt at a Solution
i really don't know how to approach this question. i tried simplifying the powers...