Answer:

Step-by-step explanation:
Simplify the expression.
Answer: The correct option is 1.
Explanation:
The given piecewise function is,

It means if x<0, then

If
, then

Since the f(x) is defined for x<0 and
, therefore the function f(x) is not defined for
.
From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.
Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for
, hence the first option is correct.
Answer:
32
Step-by-step explanation:
We can ignore Piroxicam, because it comes in capsules.
1. Number of Glucotrol tablets
Marilyn takes one tablet per day.

2. Number of Isoniazid tablets
Marilyn takes three tablets per day.

3. Total tablets
Total tablets = 8 tab + 24 tab = 32 tab
Marilyn takes 32 tablets in eight days.
Consider the trinomial 
1. Find the discriminant:

2. Find the roots of given trinomial:

3. Conclusion: given trinomial has two different real roots.
Answer:
Given Polynomial:

Factors of Coefficient of terms
80 = 5 × 16
32 = 2 × 16
48 = 3 × 16
Common factor of the coefficient of all term is 16.
Each term contain variable. So the Minimum power of b is common from all terms.
Common from all variable part comes b².
So, Common factor of the polynomial = 16b²
⇒ 16b² ( 5b² ) - 16b² ( 2c³ ) + 16b² ( 3b²c )
⇒ 16b² ( 5b² - 2c³ + 3b²c )
Therefore, Statements that are true about David's word are:
The GCF of the coefficients is correct.
The variable c is not common to all terms, so a power of c should not have been factored out.
In step 6, David applied the distributive property