# Search results for query: *

1. ### Working on a polynomial

i would get 2 equations for ax+b. then i'll be able to solve for a and b simultaneously...:) i hope this is correct. thnks
2. ### Working on a polynomial

ermm well it will be in the form (x + a) but how do i find a?
3. ### Working on a polynomial

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 =...
4. ### Functions problem

errmmm it's been solved... it was as simple as replacing the x in g(x) by x2 thanks anyway
5. ### Functions problem

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...
6. ### Derivatives of trigonometric functions

this comes from the double angle formula. it says that: sin (A + B) = sinAcosB + sinBcosA you can find the same thing for sin (x + dY)
7. ### Maths competition

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...
8. ### Maths competition problems

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.
9. ### Maths competition

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...
10. ### Maths competition problems

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!
11. ### Maths competition problems

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...
12. ### Permutatuon question help PLEASE

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)...
13. ### Australian Maths Competition [Calculators not Allowed]

ooo alritz...thnks
14. ### Australian Maths Competition [Calculators not Allowed]

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...
15. ### Solving for x in n + n^(1/2) + n^(1/3) = 76

ok, loot = lot! ;)
16. ### Solving for x in n + n^(1/2) + n^(1/3) = 76

awww... I'm terribly sorry! i misread the answer off the book... thanks a loot for helping
17. ### Australian Maths Competition [Calculators not Allowed]

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...
18. ### Solving for x in n + n^(1/2) + n^(1/3) = 76

2, 4 and 8 can be expressed as integer powers of 64. but actually the answer is 8 but not 16... :S
19. ### Solving for x in n + n^(1/2) + n^(1/3) = 76

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...
20. ### WARD."Help Me Understand 30° Angle Between W and Radial Axis

wasn't the 30` angle already given?!