The correct option is: Option (C)
Explanation:
It is the property of log that if it contains the fraction, it can be expressed as the difference of the log of numerator and the log of denominator.
The general form is:
Hence the correct answer is
.
Answer:
g(4) = 12
Step-by-step explanation:
We need to find the value the function g(x) when x = 4, that is;
g(4)
In the first definition of the function, the value of x is strictly less than 4. Consequently, we shall use the second definition of the function to evaluate g(4)
In the second definition, g(x) is given as;
Q(x) = 0.5x + 10
plug in x = 4 and simplify;
Q(4) = 0.5(4) + 10
Q(4) = 12
Answer:
<h2>C. <em>
20,160</em></h2>
Step-by-step explanation:
This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.
nPr = n!/(n-r)!
Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.
8P6 = 8!/(8-6)!
8P6 = 8!/2!
8P6 = 8*7*6*5*4*3*2!/2!
8P6 = 8*7*6*5*4*3
8P6 = 56*360
8P6 = 20,160
<em>Hence this can be done in 20,160 number of ways</em>
Hi there! The slope of the line is -2/5.
We can determine the slope of a line by dividing the change of y-coordinates by the change of x-coordinates.
In this situation we have a...
change of x-coordinates of (5 - 0) = 5
change of y-coordinates of (0 - 2) = -2
Therefore, the slope of this line is -2/5
