Answer:
C) 15
Step-by-step explanation:
Here we have to use the combination to find the number of possible combinations.
Total number of classmates (n) = 6
We are selecting 2 individuals. So r = 2.
The combination formula nCr =
Plug in n = 6 and r =2, in the above formula, we get
=
=
Simplifying the above factorial, we get
= 15
So the answer is C) 15
Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:
Taking first derivative
Now the first derivative has to be put equal to zero to find the critical value
The function has only one critical value which is 5.
Taking 2nd derivative
As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function
Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Answer:
x = 48
y = 21
Step-by-step explanation:
To find the value of x and y, using the definition of supplementary angles, create an equation to find x and y as follows:
Finding y:-
(supplementary angles definition)
Solve for y
Collect like terms
Finding x:-
(supplementary angles definition)
Solve for x
Combine like terms