Answer:
The difference is 4.4n−13.
Step-by-step explanation:
Hello!
In a function, each input has only one output. In A, three has two outputs, 4 and 5, so A is not a function.
In B, you can use something called the vertical line test to see if each x value has one y value as an output. You move an imaginary vertical line across the graph, and if it intersects with two points it is not a function. If we do this on our graph, it will not intersect two points. Therefore, B is a function.
In C, we can see that each input has one output, or there are all different inputs, so C is a function.
For D we can use that vertical line test again. It intersects both the points (-1,1) and (-1,6) so D is not a function
Our final answers are B and C.
I hope this helps!
Answer:
c = 0.165
Step-by-step explanation:
Given:
f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,
f(x, y) = 0 otherwise.
Required:
The value of c
To find the value of c, we make use of the property of a joint probability distribution function which states that

where a and b represent -infinity to +infinity (in other words, the bound of the distribution)
By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have

Since c is a constant, we can bring it out of the integral sign; to give us

Open the bracket

Integrate with respect to y

Substitute 0 and 3 for y



Add fraction


Rewrite;

The
is a constant, so it can be removed from the integral sign to give


Integrate with respect to x

Substitute 0 and 3 for x




Multiply both sides by 


Answer:
M=19400(1.5)/1-(1+1.5)-(15x12)
M=28917.50
Then you would round up so it wo9uld be $28,918.
I just added the two numbers and got the number 100.88