The first thing to do is to calculate how many ways you can choose 3 people from a set of eight. In order to do this, we need to use the attached formula.
(The letter 'n' stands for the entire set and 'r' stands for the number of objects we wish to choose.)
So we wish to choose 3 people ('r') form a set of 8 ('n')
combinations = n! / r! * (n - r)!
combinations = 8 ! / (3! * 5!)
combinations = 8 * 7 * 6 * 5! / (3!) * (5!)
combinations = 8 * 7 * 6 / 3 * 2
combinations = 56
Now of those 56 combinations, the 3 people can finish in 6 different ways.
For example, persons A, B and C could finish
ABC or ACB or BAC or BCA or CAB or CBA
So to get the TOTAL combinations we multiply 56 * 6 which equals
336 so the answer is (a)
Answer: 1.) 14.66666666666667
2.) 20
Steps:
1.) 180 = 3x + 136
180 -136 = 3x
44 = 3x
44/3 = x
14.66666666666667 = x
2.) 70 + x = 90
x = 90 - 70
x = 20
I would appreciate brainliest if this was helpful and correct! ;)
Answer:
Step by step explanation:
Given that,


Solution:
Solving for (f•g)(x):

Now substitute the given values.


Apply distributive property:

Hence,f•g(x) will be
.
Answer:
c = 83
b = 79
a = 101
d = 97
.
.........................
You're correct, the answer is C.
Given any function of the form

, then the derivative of y with respect to x (

) is written as:

In which

is any constant, this is called the power rule for differentiation.
For this example we have

, first lets get rid of the quotient and write the expression in the form

:

Now we can directly apply the rule stated at the beginning (in which

):

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).