Answer:
a = - 4
Step-by-step explanation:
Given x = - 2 is a root then f(- 2) = 0
f(x) = x³ + x² + ax - 4, thus
f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is
f(- 2) = - 8 + 4 - 2a - 4 = 0, thus
- 8 - 2a = 0 ( add 8 to both sides )
- 2a = 8 ( divide both sides by - 2 )
a = - 4
 
        
             
        
        
        
Answer:
x = -(h+g) / f
Step-by-step explanation:
-fx - g = h
-fx = h + g
x = (h + g) / -f
x = -(h+g)/f
 
        
             
        
        
        
Answer:
-13t - 5z
Step-by-step explanation:
-6t + 2z - 7z - 7t
= -13t - 5z
 
        
             
        
        
        
Answer:
No, they are not.
Step-by-step explanation:
The easiest way to find a function on a graph is by finding if any points share the same x value. All of these do, so none are functions.
 
        
             
        
        
        
Answer:
Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.
Step-by-step explanation:
The equation f(x) given is:

For x = 0. the value of the expression is:

For x = 1, the value of the expression is:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.
In other words, there is at least one solution for the equation between x=0 and x=1.