Answer:
D.
Step-by-step explanation:
To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.
h(x) = sqrt(2x^2 + 5x - 3)
= sqrt(0^2 + 5 * 0 - 3)
= sqrt(-3)
Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.
If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.
Your answer will be D.
Hope this helps!!
Answer:
The value of given expression is
.
Step-by-step explanation:
Given information: n=7, x=2, p=1/2

The given expression is

It can be written as

Substitute n=7, x=2, p=1/2 and q=1/2 in the above formula.






Therefore the value of given expression is
.
Answer:
The equation of the line is: 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:

In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So

Then

Finding b:
We replace one of the points in the equation to find b. I will use (4,3).




The equation of the line is: 
Answer:
Step-by-step explanation:
x^2
--------------------------------------------------
2x + 1 / 2x^3 - x^2 + x + 1
2x^3 + x^2
-----------------------
0 + x + 1
x + 1
The quotient is x^2 + ------------
2x + 1