The transformation is rotation.
Growth means a base for exponentiation bigger than 1 (in absolute value), otherwise it's decay.
Only the first choice has a base biggerthan 1. The last choice is equivalent to
so has a base less than 1.
Answer: A
Answer:
(x -6)²
Step-by-step explanation:
It is worth remembering the form of the square of a binomial:
(a +b)² = a² +2ab +b²
Note that if "a" and "b" have different signs, the middle term will be negative.
In your case, the square root of the constant is half the magnitude of the x-coefficient, so the trinomial you have is a perfect square. Since you just found √36 = 6, and the sign of 12 tells you the terms have different signs, you know the answer is ...
x² -12x +36 = (x -6)²
_____
Of course, you recognize (x +6)(x -6) as the factoring of the difference of squares ...
x² -6² = x² -36
which is not what you have.
Answer:
Amanda will catch up Ben after 0.6 hours.
Step-by-step explanation:
Amanda begins jogging along the same path at 7 mi/h.
This means that Amanda's position, after t hours, is given by:

Ben starts walking along a path at 2 mi/h.
Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:

How long (in hours) will it be before Amanda catches up to Ben?
This will happen when:

So




Amanda will catch up Ben after 0.6 hours.