We have a piecewise function.
Therefore, to find the function, we must evaluate each domain separately.
We have then:
For
:
The function for this domain is:

For
:
The function for this domain is:

Where,

Substituting:

For
:
The function for this domain is:
Answer:
Substitution Property
Step-by-step explanation:
So we know that:

And we also know that:

And by using a specific property, we get that:

Essentially, we <em>substituted</em> B for A.
So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.
I’m assuming you meant -2x^2 so It would be shifted to the left 3 it would be compressed from having 2 to 1.
Answer & Step-by-step explanation:
n represents our number. So, twice a number would be 2n because twice means multiply by two.
When the problem says 6 less, then it means 6 less than 2n. So, it would look like 2n-6.
FInally, the problem says that all of this equals 17 so 17 would be the result.
So, you answer is 2n-6 = 17. This is answer choice B.
Answer:
2403.2
Step-by-step explanation:
We get the length of the hypotenuse, and the base angle. To find the length of the base, we use the cosine of 16° since it is equal to the adjacent side length/ hypotenuse side length or cos 16°= x/2500. The isolate x by multiplying both sides by 2500. The cos 16° is around 0.96126, multiplied by 2500 (cos 16°(2500)) = 2403.1