468=40x+18(x-3)
468=40x+18x-54
468=58x-54
522=58x
9=x
I'm not sure if you need to know x at all, if not, the top equation is all you need.
Answer:
Option (3).
Step-by-step explanation:
Attached figure is the graph of a function,
f(x) = -
Since domain of any function is the set of all possible input values of the function,
Therefore, Domain of the function is,
Domain : x ≤ 0 Or (-∞, 0]
And range of the function is the set of all possible output values (y-values) of the function.
Therefore, Range of the function will be,
Range : y ≤ 0 Or (-∞, 0]
Therefore, Domain and range of this function is same.
Option (3) will be the answer.
Answer:
t
Step-by-step explanation:
In triangle fgy, side f is the shorter side adjacent to the 90 degree angle and side g is the longer side. In triangle gte, side g is the shorter side adjacent to the 90 degree angle and side t is the longer side.
Part A.
We could take, for example:

For x ≥ -3 we have vertical line (x-intercept = -3) and shaded region on the right side of the line.
For y ≥ 3 we have horizontal line (y-intercept = 3) and shaded region above that line.
Part B.
Simply, substitute x and y coordinates of D and E <span>to the system of inequalities from part A, and check if its is true, what we get.
</span>

so point D is a solution,

and point E is also a solution to <span>our system of inequalities.
</span>
Part C.
There are two ways we could do that. First is the same as in part B. We substitute x and y coordinates of each school and check if inequality is true or false:


So Timothy can attend schools C and F.
We can also draw a graph of that inequality (pic 2).
(f+g)(x) = f(x) + g(x)
x^2 + x + x + 2
= x^2 + 2x + 2
Final answer: x^2 + 2x + 2