Answer:
x+3 is not a factor
Step-by-step explanation:
A graphing calculator shows the expression has a zero at x=3 and no other real zeros. If x+3 were a factor, there would be a zero at x = -3.
x+3 is not a factor of the expression.
_____
You can check to see if x+3 is a factor by evaluating the expression for x=-3. If (x+3) is a factor, x=-3 will make the function be zero.
3(-x³ +2x² +2x +3) = 3(((-x +2)x +2)x +3) = 3(((-(-3)+2)(-3) +2)(-3) +3)
= 3((-15+2)(-3) +3) = 3(39 +3) = 126 ≠ 0
The expression evaluates to 126 at x=-3, so x+3 is NOT a factor.
Answer:
Domain: all real numbers
Step-by-step explanation:
The domain of a function is the set of values that x can be replaced with.
In this function, x can be replaced by any real number, so the domain of the function is all real numbers.
plz mark me as brainliest :)
Answer:
A.) g (x) = f (x) - 2
Step-by-step explanation:
The first thing we are going to do in this case is to take into account the following definition.
Translations are transformations that change the position of the graph of a function.
The general shape of the graph of a function is moved up, down, to the right or to the left.
The translations are considered rigid transformations. Now we will see how these are performed.
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Using the definition we conclude that:
g (x) = f (x) - 4
Answer:
3/10
Step-by-step explanation:
Total number of employees = 7 + 9 = 16
Probability of a man being chosen first to be promoted = 9/16
Probability of the second choice is still a man for promotion = 8/15
Why 8/15?
The number of men left who are eligible for promotion after the 1st man was chosen for promotion is 9 - 1 = 8
The total number of people left after the 1st person is chosen for promotion that are eligible for promotion is 16 - 1 = 15
Hence Probability of choosing 2 men for promotion = 9/16 x 8/15 = 3/10
The answer is the second option y=-3x-2
