Option B: 
is the correct answer.
Explanation:
The exponential equation is 
If 
, then 
Thus, the equation becomes
Applying log rule, 
and thus the equation becomes
Since, we know that, 
, using this we get,
Hence, the logarithmic equation which is equivalent to the exponential equation is
Thus, Option B is the correct answer.
Answer:
Step-by-step explanation:
The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.
Thus, the following are true:
1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).
2. It will use a closed circle (because x = -2 is part of the solution set).
If <span>, which statement </span>must<span> be true?
'
</span>
Answer:
Option C (f(x) = 
)
Step-by-step explanation:
In this question, the first step is to write the general form of the quadratic equation, which is f(x) = 
, where a, b, and c are the arbitrary constants. There are certain characteristics of the values of a, b, and c which determine the nature of the function. If a is a positive coefficient (i.e. if a>0), then the quadratic function is a minimizing function. On the other hand, a is negative (i.e. if a<0), then the quadratic function is a maximizing function. Since the latter condition is required, therefore, the first option (f(x) = 
) and the last option (f(x) = 
) are incorrect. The features of the values of b are irrelevant in this question, so that will not be discussed here. The value of c is actually the y-intercept of the quadratic equation. Since the y-intercept is 4, the correct choice for this question will be Option C (f(x) = ). In short, Option C fulfills both the criteria of the function which has a maximum and a y-intercept of 4!!!
Answer:
8
Step-by-step explanation:
n * 12 = 96
96/12 = 8
==> n = 8
