Answer:
24414 combinations
Step-by-step explanation:
Solution:-
- We have 17 employees that needs to be managed for a project.
- We will choose all of our employees equally likely for 3 projects.
Project 1 = 8 spacings
- So we have 17 available employees to choose from. So we choose (combinations):
Project 1 = 17C8 = 24310 combinations
- We are left with 17 - 8 = 9 employees, for the next project:
Project 2 = 3 spacings
- So out of the available 9 employees project 2 would have:
Project 2 = 9C3 = 84 combinations
- We are left with 9 - 3 = 6 employees, for the next project:
Project 3 = 3 spacings
- So out of the available 6 employees project 3 would have:
Project 3 = 6C3 = 20 combinations
- The total number of combinations fro selecting 17 employees for each project would be:
24310 + 84 + 20 = 24414 combinations
Answer:
x = 16, y = 16√3
Step-by-step explanation:
x = 32/2 = 16
y = 16(√3) = 16√3
.1515/1 1.515/10 15.15/100 151.5/1000 1515/10000
multiply the numerator and the denominator by 10
your answer is 1515/10000
simplified is 303/2000
The following are the answers to
the questions presented:
Part 1:
Vertex: <span>(<span><span>−3</span>/ 2</span>,<span> 11/2</span>)</span>
Axis of
symmetry = x = -3/2
Domain = all
real numbers
Range = <span>y </span><span>≤ </span>11/2
Part 2:
A quadratic equation is symmetrical around its vertex. The
equation for the axis of symmetry is x = -3/2 since the equation is in terms of
x. Since no value of x is undefined, then the domain of the equation is clearly
all real numbers. Since the value of “a” is negative, then that means the y
coordinate of the vertex is the maximum value so the range will never get above
11/2. I am hoping that these answers have satisfied your queries and it
will be able to help you in your endeavors, and if you would like, feel free to
ask another question.
Answer:
The factorization is given below:
Step-by-step explanation:
The factorization is given below:
a.
(x - 2) (x)
b. 
6(x^2 + 12)
6x (x + 2)
c. 
3(x^2 - 3x)
3(x - 3) (x)
d. 
4x^2 (1 + 7x)