Answer:
y = (x - 1) / 2 (First answer choice)
Step-by-step explanation:
1) Start with f(x) = 2x + 1
2) Replace f(x) with y: y = 2x + 1
3) Interchange x and y: x = 2y + 1
4) Solve this result for y: 2y = x - 1, or y = (x - 1) / 2 (This matches the first
answer choice.)
You have written 0 = 4x.
The value of x that makes it true is x = 0, given that 4 times 0 is 0.
Nevertheless, I think you wanted to write 0 = 4 ^x (this is 4 raised to the power 4).
In that case, there is not any valued of x that satisfies the equation. This is, the equation is always false.
That is because, there is not any value of x for which 4^x is zero. The range of this function is al the positive values of x, which exclude zero.
Answer:
An expression to represent the number of butterflies he has is y = 12 + 2x
Step-by-step explanation:
Let the number of butterflies in Eduardo’s collection be y
Then according to the question
The number of moths = x
The number of butterflies y = 12 + twice the number of moths---------(1)
Twice the number of moths = 
Twice the number of moths = 2x -----------------------(2)
Substituting equation (2) in (1)
The number of butterflies y = 12 + 2x
The answer is 1 in 10 or 10%