How do you express the following in algebraic expression: The value of a number increases by 22 every time another number doubles? I got: x+22/2y.
Why divide?
was thinking in terms of X per y which's normally express as x/y example km/h. But I might be confusing my physics with math.
The other one I have in mind is 2x = y+22 but it doesn't seem right.
This is harder than it looks,lol..
I know right, I'm thinking it has some kind of factorial just can't remember the formula.
How do express a number that doubles every time? Exponents right?
yes
then how do you express a number increasing by 22 corresponding to the exponent of another number?
@Nnesha @Jhannybean
would there be more than 2 variables??
I got a table here representing the growth but I've to express function... give me a moment to write it down.
alright. im really curious about this.
1 = x; 2 = x+22; 4 = x+44; etc.
That's it really, it asks for the table to be express as an algerbraicly i.e. x-110w.
How about: \[x^{2} = y+22x\]
can't be..because that means that the number determines how many times you add 22..
if x=5 for example in that equation, it's doubled once but 22 times 5?
You right, how about: \[x ^{y}=z+22y\]
the closest i can think of is \[x+22y=r^y \]
lols, we got the same idea.
the problem with that is when it's doubled once.. if y=1 aka the number isn't doubled, the other side still adds the 22.
if it's doubled twice or y=2, then 22 gives it out 2 times instead of 1...
\[If: x = 2, y \neq 1\]\[x ^{y} = z + 22y\]
\[2^{5} = z +22(5)\]
looks right to me...
How about... \[x+22(y-1)=r^y{-1}\]
double your equation once, replace y with 2
it doubles correctly on the exponent but gives 44 for only one double :/
since 1 = x, 2 = x+22, 4 = x+44
my equation doesn't work either, lol.
\[2^{2} = z + 22(2) = z\]
z + 44
but the number doubled once
it's suppose to be z+22
but 2 is already a double. The problem starts at 1. So: If x = 2, y /= 1 and x-1 = z then the equation stands, I think.
Else we would need sigma
xy=z+22y 1 doesn't work ^2 is a double. y for 22 is suppose to =1, but it would be 2..
1 double=+22, not 44
Try this one
\[x+22(y-2)=r^{y-1}\]
That would work with a single double.
3-1=2 one double (3-2)=1 22
lemme try it
it really looks like it works lol
As long as \[y \neq 0,1\]
x is the base amount, y is the exponent and r is the number being doubled?
just making sure I got the variables right...
x=the first number r=the 2nd number y to be honest does NOT represent the amount of times being doubled
the equation when being solved would put your statement true.
but y=any# that makes your equation true which is not 0,1
it doesn't really "stand" for anything
r would colapse if it's 1
yes that's why y>1
\[x+22(5-2)=1^{5-1}\]
\[r \neq 1\]
r>1 y>1
to be honest this question is full of ****
With that, my equation would have work. Lols, I love the challenge imo. Solving such pellet makes me feeling like Hawkins
*problem
yes, but say your question doesn't allow restrictions then that question will end your life
We can assume 1 = x, 2 = x + 22 since my equation starts at 2 then it's valid.
We need 3rd person, we're just bouncing each others idea.
not sure what you mean by x=?
\[2^{2} = 4; 2^{3} = 8; etc\]
x = 1 is the base x + 22 = 2
x + 44 = 4 x + 66 = 8
hence: \[x + 22(y) = z ^{y}\]
So what you think @JoannaBlackwelder
I'm working on it, just a sec.
your right the values would not equal to eachother
I don't think you can make this happen in an expression. It needs an equation.
I think I got my vocabs wrong, I think I meant equations all along.
The value of a number increases by 22 every time another number doubles: If \[z = 2, y \neq 1, z-1 = x\] then \[x + 22(y) = z ^{y}\]
Just seems right to me but I'm not sure... \[1 = x\]\[2 = x + 22\]\[2^{2} = x+22(2) = 4 = x+44\]\[2^{3} = x+22(3) = 8 = x+66\]
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