Answer:
The value of k will be -4
Step-by-step explanation:
We have given polynomial 
It is given that x+1 is factor of the polynomial
And we have to find the value of k
As x+1 is the factor of polynomial so x+1 = 0 that is x = -1 will be the root of polynomial
So if we put x = -1 in the polynomial then the p(-1) will be zero
So 
So the value of k will be -4
The value of the function is 4 when x=3.
Answer:
$225
Step-by-step explanation:
$120 for 2 4-hour shifts, $120 in 8 hours
$15 every 1 hour
Money for 15 hours: 15 x 15 = $225
Answer:
There are 8 ways.
Step-by-step explanation:
For each employee there are two possibilities: first office and second office.
Therefore,
the number of ways the company can assign 3 employees to 2 different offices will be :
= 8
We can also look at this problem like suppose ABC are employees.
We can arrange them like -
0 ABC
ABC 0
AB C
BC A
CA B
A BC
B CA
C AB
So, there are total 8 WAYS.
Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
