Answer: 
Step-by-step explanation:
All that is required here is to substitute x = 2x into the right side in the same way that is done for a numeric value.

Answer:
The circumference would be around 90 yards.
Step-by-step explanation:
C = 2πr
r = 14.2
14.2 × 3.14 = 44.588
44.588 × 2 = 89.176
89.176 ≈ 90
C = 90
Answer:
<em>Yes, this is a linear function because the rate of change is constant</em>
Step-by-step explanation:
<u>Linear Functions</u>
We can recognize a linear relation between variables x and y when they can be represented by a formula like
y=mx+b
Where m is the rate of change and it has a constant value. More specifically, a proportional relationship is a special case where b=0, meaning that every value of y divided by the corresponding value of x, is constant.
The situation described in the question says a bathtub is being filled at a rate of 4 liters per minute. It means that every minute, 4 liters are constantly being added to the existing quantity. This is a constant rate of change, so the correct answer is
"Yes, this is a linear function because the rate of change is constant"
Because the function f(x) =-2+√x+7 has √x, x should be more or equal 0.
Domain is x≥0, or [0,+∞).
The smallest value of x=0, so the smallest value of f(x) is f(0) =-2+√0+7=5,
so range is f(x)≥5, or [5, +∞).