3f(3-x)+f(x)=(x squared)+9-6x
get rid of f(3-x) (isolate it from one equation and plug in the other one) and you can isolate f(x) now.
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If I want to isolate f(x).. it'd be f(x)=xsquared+9-6x-3f(3-x), right?
Oops haha
So 3f(3-x)+f(x)=(x squared)+9-6x.
So can you tell me where to go from here? I tried substituting y into x again, get (x squared - 6x)/-2, while the real answer is something like x/3+x/5-3 or something. Also, where did the 'plug 3-x for x everywhere' thing came from? And if this is a...
Incidentally, why bother breaking the problem into "first roll" and "second roll"? Why not just consider each possible pair of rolls as outcomes?
You mean 5/8 * 5/8? That wouldn't equal 7/64. My chart works out to 7/64, but I want to find a less meticulous way.
Dice with weighted sides, looking for odds of a sum:faster way please
Homework Statement
6 side die is weighted so prob of rolling 2,3,4,5,6 is same and rolling 1 is 3x rolling a 2. If die is thrown twice, what's odds of getting a sum of 4?
Homework Equations
The Attempt at a Solution...
Homework Statement
Homework Equations
The Attempt at a Solution
I first tried replacing "x" when in parenthese with y. Therefor, 3y+3-y=x, yadda yadda, 2y=x-3, y=(x-3)/2, however, the real answer turned out to be some weird fractional thing. Please give me some kind of direction..
EDIT...
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Teacher gave some hints and I got it now. If I were to imagine this problem, but with 1 instead of 8 wraps, it'd be a line, from one end of, say, a paper, to another end.
1------1
1 1
1------1
The horizontal part of the folded out tube, or paper, is the circumference, 8cm. I need to...
Homework Statement
Given a pipe with 8cm circumference and length 20cm that is 8 turns of wire wrapped around a pipe, what's the length of the wire?
Homework Equations
circumference=2(pi)r=diameter*pi (I think)
The Attempt at a Solution
This is pic with problem. My...
Homework Statement
(2n-1)!/(2n+1)!
Homework Equations
The Attempt at a Solution
...2n-2*2n-1
------------ (pretend that's a divider)
...2n-2*2n-1*2n*2n+1
Is the answer 1/[2n*2n+1]?
I can factor out cosx? (sorry, this is midterm, and this stuff is what we did in January:p)
2cos(squared)x+3cosx=0
cosx(2cosx+3)=0
cosx=0 and cosx=-3/2
I can figure cosx=0 to be x=pi/2 and 3pi/2 but can anyone remind me why cosx=-3/2 doesn't work (invalid in calc)?
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I think because adj/hyp...
Homework Statement
use the inverse functions where necessary to find all solution of the equation in the interval [0,2pi). Use a graphing utility to verify.
2cos(squared)x+3cosx=0
Homework Equations
The Attempt at a Solution
The answer is pi/2 and 3pi/2 from my teacher..
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