This is how this "1337" Algebra thread works. I post an Equation and ask for an answer. Whoever gets it right posts another Equation, so on and so forth.
[-4-5(y+2x)-23]+[4+5(3x+4y)]
Note: The -4 is NEGITIVE 4. It is the only negative in the equation.
SIMPLIFY
I wonder how long this "game" will last...
So do I Doodan
. Ok I jsut solved the problem, although I' not 100% sure on my answer. And oh a hint,
DISTRIBUTIVE PROPERTYQUOTE(WoAHorde2 @ Oct 10 2006, 08:47 PM)
[-4-5(y+2x)-23]+[4+5(3x+4y)]
15y + 5x - 23 (fixed it)
What is the vertex of: 3x²+96x+3073 ?
ADDITION:
The extended formula (without brackets):
-4-5y-10x-23+4+15x+20y
Combine like terms:
-4+4-23 = -23
-10x+15x = 5x
-5y+20y = 15yI believe your answer is right, althought I got 25x + 15y -23. We don't agree on x.
Add:
Well heres how I did it.
[-4-5(y+2x)-23]+[4+5(3x+4y)]
Use Dist Property
(-4-5y+10x-23)+4+15x+20y
Combine Like Terms On One Side
(-27-5y+10x)+(4+15x+20y)
Switch Numbers and Variables Over
-27 + 4 = -23
-5y + 20y = 15y
10x = 15x = 25 x
Final ANswer
25x + 15y - 23
QUOTE(WoAHorde2 @ Oct 10 2006, 08:47 PM)
[-4-5(y+2x)-23]+[4+5(3x+4y)]
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that part comes out to -5y - 10x. a NEGETIVE 10 x.Now solve mine:
QUOTE(Night @ Oct 10 2006, 08:57 PM)
What is the vertex of: 3x²+96x+3073 ?
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Oh I forgot to carry over the engitive, silly me
[-4-5(y+2x)-23]+[4+5(3x+4y)]
= -4 - 5y - 10x - 23 + 4 + 15x + 20y
= 5x + 15y -23
...
DUR DUR DUR.
damnit night, why did you have to use such a large number. i think its -16, 2305
EDIT: doh, got my signs mixed up
EDIT: doh, got my signs mixed up again! i'm hopeless
No the vertex is two numbers (the point where the axis of symatry intersects the parabola) comes in the form of (x,y) or aka: (p,q)
ADDITION:
Oh you did put two numbers, but no thats not the answer.
Heres the first step:
3(x²+32x+1024)+2305
Correct Zera! -16, 2305
... oops my mistake.
I hope you know that subtracting a numer is like adding a negative...
[-4-5(y+2x)-23]+[4+5(3x+4y)] = -4-5y-10x-23+4+15x+20y = 15y+5x-23 Simple as it goes.
3x²+96x+3073
{Inster quadratic formula here}
x[sub]1[/sub] = -16 + 67.89698i and x[sub]2[/sub] = -16 - 67.89698i
Vertex is x[sub]1[/sub] + x[sub]2[/sub] / 2
I'm too lazy to simplify it.
EDIT - I need to note to you, that I am failing math class.
why the freak is there a one over there...
anyhow, this is what i got
0 = 3x^2 + 96x + 3073
-3073 = 3(x^2 + 32x)
768 - 3073 = 3(x^2 + 32x + 256)
-2305 = 3(x + 16)^2
y = 3(x + 16)^2 + 2305
Here's a simple one.
If nm=0 does that prove that n+m=0?
FYI: Zera, I edited the post above.
errr, i can't think up any eqquations
QUOTE(Zeratul_101 @ Oct 10 2006, 10:31 PM)
why the freak is there a one over there...
anyhow, this is what i got
0 = 3x^2 + 96x + 3073
-3073 = 3(x^2 + 32x)
768 - 3073 = 3(x^2 + 32x + 256)
-2305 = 3(x + 16)^2
y = 3(x + 16)^2 + 2305
[right][snapback]574772[/snapback][/right]
We're trying to find the vertex. (x = -16)
IRT to night
no
IRT to syphon
thats the axis of symmetry, not vertex
Boring.
QUOTE(Night @ Oct 10 2006, 10:35 PM)
Here's a simple one.
If nm=0 does that prove that n+m=0?
FYI: Zera, I edited the post above.
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No. 0 + R>0 ≠ 0, 0 x R>0 = 0
QUOTE(Syphon(MM) @ Oct 10 2006, 09:36 PM)
We're trying to find the vertex. (x = -16)
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The proper way to show the vertex is: ( p , q ) = ( -16 , 2305 )
EDIT: What you have there is the equation for the axis of symatry (how u spell this?)QUOTE(Zeratul_101 @ Oct 10 2006, 10:36 PM)
IRT to night
no
IRT to syphon
thats the axis of symmetry, not vertex
[right][snapback]574778[/snapback][/right]
The vertex is the axis of symmetry. (Atleast in parabolas it is.)
axis of symettry only has an x coordinate, a vertex has both x and y
Let me screw this up for you guys with the older sibling of algerbra, Very Basic Calculus:
An airplane at an altitude of 10,000 ft is flying at a constant speed on a line that will take it directly over an observer on the ground. If, at a given instant, the observer notes that the angle of elevation of the airplane is 60º and is increasing at a rate of 1º per second, find the speed of the airplane.
omg, don't bring back trig