Question #9e398
4 Answers
Substitute for
Explanation:
Let's look at what we have:
And what we're "looking for":
Where I set "E" for "expression".
If you're simply given a question this vague, I'd assume what is being asked is to rewrite the expression in terms of
In that case, simply substitute ("replace") each variable with the "fuller expression" as shown by the equations
Starting with
See what I did there? Since, by that equation,
Now let's do the same for
Alright, now we have successfully rewritten the given expression in terms of
What I just did is "combine like terms": since we have
But don't forget to multiply
By the distributive property, we could multiply an entire sum by multiplying each term, each "number/thing" inside it that is being added up. Then, we have division by 2, so why not divide the entire thing?
We could also apply that same distirbutive property for division:
Some terms may seem to have "lost" some amount of their coefficients, because it has been divided by 2.
I think this looks like a final answer.
So, to conclude, given
Explanation:
We have:
Let's rewrite this as:
Let's replace
=>
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=>
please see disclaimer below, however
Explanation:
Disclaimer
I am assuming that the question asks for the value the function
So,
and
so that
Given
We are to find
Changing
#(f+g)(n/2)=2n/2+3(n/2)^2-6#
#=>(f+g)(n/2)=n+3/4n^2-6#
#=>(f+g)(n/2)=3/4n^2+n-6#