hence the answer is
quotient is X + 7 and remainder is 8
If you have 205 students, and only 4 open positions, there would be multiple possibilities. For this question I would multiply 4 by 205, in which would contain every single possibility. 4 positions, 205 students, 4 times 205 would be 820 possibilities. Hope this helps.
Answer:

Step-by-step explanation:
<em>Since equations are not listed, i will simply figure out the correct answer.</em>
<em />
Profit is Income MINUS Cost.
The cost is a fixed cost of 2,100 per month.
Also a variable cost of 70 per unit (x), if x units sold, then variable cost would be "70x"
Total Cost = 2100 + 70x
Now, the income is from sales of each unit. Each unit sells for $84 and if x units sold, company's income would be:
84x
So, profit will be:
Profit = Income - Cost
Profit = 84x - (2100 + 70x)
Profit = 84x - 2100 - 70x
Profit = 14x - 2100
We can write the equation as:

we are given


(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it

we can simplify it


(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):

we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):

Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪
..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):

we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):

Since, it is quadratic equation
so, its range will be

now, we can find common range
so, range will be
∪
.............Answer
Answer:
y = x + 6.
Step-by-step explanation:
y = mx + c where m = the slope of the line and c is the y-intercept.
So here m = 4/4 = 1 and c = 6, so it's:
y = 1x + 6.