Answer:
The function is increasing for all real values of x where
x < –4.
Step-by-step explanation:
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex (h,k) represent a maximum
The roots of the function (or x-intercepts) are x=-6 and x=-2
The x-coordinate of the vertex is the midpoint of the roots
so
The y-coordinate of the vertex is
substitute the x-coordinate of the vertex in the quadratic equation
The vertex is the point (-4,4)
The function is increasing in the interval (-∞,-4)
The function is decreasing in the interval (-4,∞)
Answer:
There are 1716 ways the three positions can be filled by these applicants.
Step-by-step explanation:
Permutation is the number of arrangement of <em>k</em> items from <em>n</em> distinct items.
For example, permutation can be used to compute the number of ways to arrange 4 mathematics books together when arranging all the 7 books on a shelf.
In this case there are 3 available nursing positions to be filled.
A total of 13 candidates are qualified for all the three positions.
Then the number of ways the 3 positions can be filled by the 13 candidates can be determine using permutation.
Compute the possible number of selections as follows:
Thus, there are 1716 ways the three positions can be filled by these applicants.
Length (l) = 13 feet
Width (b) = 9 feet
Perimeter = 2(l + b)
= 2(13 + 9)
= 2×21
= 42 feet
In order to the fourth player has the opportunity to bat, he/she needs that the three previous players make hit.
The joint probability of all three first batters make a hit is the product of their hitting percentages:
0.400 * 0.325 * 0.25
Pass the decimal numbers to fractions:
4/ 10 * 325/1000 * 25/100 = 32,500 / 1,000,000
Now simplify the fraction (divide numerator and denominator by 2500):
32,500 / 2,500 = 13
1,000,000 / 2,500 = 400
Then, 32,500 / 1,000,000 = 13 / 400
Answer: 13 / 400
I think it’s B
Sorry if I’m wrong
