C(x) = 200 - 7x + 0.345x^2
Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.
Range is the set of possible results for c(x), i.e. possible costs.
You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.
You can substitute some values for x to help you, for example:
x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42
10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745
The functions does not have real roots, then the costs never decrease to 0.
The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.
Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.
Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley, 
Length is 5 times the width.
Let width be
.
So, as per question,
Length,
Now, perimeter of rectangle is given as:

Plug in 48 for
,
for
and
for b.

Therefore, width is 4 m.
Length is
m.
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
We have then that Lisa's average grade point equation is:

Where,
x: minimum note that lisa must obtain in the last exam.
Clearing x we have:
Answer:
the lowest grade she can get on her last test is:
x = 94
Answer:
Inequality is
and value of x>10.
Step-by-step explanation:
Given : Adam is ordering pizza for a company party that he needs to have catered.
Company A charges $8 for each pizza and a delivery/set-up fee of $45. Company B charges $12 for each pizza and a delivery/set-up fee of $5.
To find : Which inequality can be used to find x, the least number of pizzas that can be ordered so that the total charge for Company A is less than the total charge for Company B?
Solution : Let x be the number of pizza
Company A charges $8 for each pizza and a delivery/set-up fee of $45.
Total charge of Company A is 
Company B charges $12 for each pizza and a delivery/set-up fee of $5.
Total charge of Company B is 
The total charge for Company A is less than the total charge for Company B
i.e, Inequality form 




or x> 10
Therefore, Inequality is
and value of x>10.
Fish market = $5.4
supermarket = 150% of $5.4
150% - - > 1.5
so the cost at the supermarket is 1.5*5.4=8.1.