Answer: right side behavior:
f(x) is Decreasing
g(x) is Increasing
h(x) is Increasing
j(x) is Decreasing
<u>Step-by-step explanation:</u>
The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial
<u>Sign of leading coefficient</u> (term with greatest exponent):
- If sign is positive, then right side is increasing
- If sign is negative, then right side is decreasing
<u>Degree of polynomial</u> (greatest exponent of polynomial:
- If even, then end behavior is the same from the left and right
- If odd, then end behavior is opposite from the left and right
f(x) = -2x²
- Sign is negative so right side is decreasing
- Degree is even so left side is the same as the right side (decreasing)
as x → +∞, f(x) → +∞ Decreasing
as x → -∞, f(x) → -∞ Decreasing
g(x) = (x + 2)³
- Sign is positive so right side is increasing
- Degree is odd so left side is opposite of the right side (decreasing)
as x → +∞, f(x) → +∞ Increasing
as x → -∞, f(x) → -∞ Decreasing
- Sign is positive so right side is increasing
- Degree is an even <u>fraction</u> so left side is opposite of the right side as it approaches the y-intercept (-1)
as x → +∞, f(x) → +∞ Increasing
as x → -∞, f(x) → -1 Decreasing to -1

- Sign is negative so right side is decreasing
- Degree is odd so left side is opposite of the right side (increasing)
as x → +∞, f(x) → +∞ Decreasing
as x → -∞, f(x) → -∞ Increasing
The class starts out with 26 students, of whom 12 are girls and, perhaps unlike Mr Morris, are sure of it.
The probability of the first random choice being a girl is 12/26. If successful, there are now 25 students left, of whom 11 are girls. The probability of a girl on the 2nd random choice is 11/25. The probability that BOTH random choices are successful is (12/26) x (11/25). That's (132/650), or about 20.31% (rounded).
OOOOH my favorite LONG DIVISION but anyways the answer is 164.4
Answer:
A
Step-by-step explanation:
This is a sector of a circle measuring 140° and the circle has radius 9 inches.
We can use the formula for the area sector of a circle to figure this out.
Area of a Sector of a Circle = 
Where
is the intercepted angle (here it is 140), and
r is the radius (here it is 9)
<em>plugging into the formula, we get:</em>
<em>
</em>
rounding to nearest tenth, it is 99.0 inches squared.
Option A is right.