For this case we have the following system:
To solve, we first change the inequality for an equality:
Matching we have:
So:
Thus, 
is the point of intersection of the lines.
Answer:
The graphic is attached
Answer:
- f(x) = x^3
- g(x) = (2x+4)^2
Step-by-step explanation:
There are many ways to decompose h(x) into f(x) and g(x). The main purpose of the exercise seems to be to get you to think about the operations that are performed on x, then divide that list of operations into two parts.
In the function ...
h(x) = (2x +4)^6
the variable x is ...
- multiplied by 2
- 4 is added to the sum
- the sum is raised to the 6th power
Of course, the 6th power can be considered as the cube of a square or the square of a cube, if you like.
In the decomposition shown in the answer above, we have chosen to put most of this list in g(x), including the square of the sum. Then we have made f(x) be the cube of that square.
h(x) = f(g(x)) = (2x+4)^6
When f(x) = x^3, this is ...
h(x) = f(g(x)) = g(x)^3 = ((2x+4)^2)^3
so ...
g(x) = (2x+4)^2 . . . and . . . f(x) = x^3
_____
Other possible decompositions are ...
or
- g(x) = (x+2)
- f(x) = (2x)^6
or
or ... (many others)
Since the graph of a linear function is a straight line, so the first option is not correct.
The given graph is of a function because for a particular value of y, there is a fixed value of 'x'.
Also, since there are two different values of x having same value for y, so the function is not one-to-one. For example, If y = f(x) is the function, then f(1.5) = f(-1) = 3.
Therefore, the graph represents a function, but it is not one-to-one.
Thus, the correct option is (A) THE ANSWER Is A
Answer:
A
Step-by-step explanation:
Since both graphs are straight lines passing through the origin, then they both display a proportional relationship
100y+x=230
150y+x=320
Y being the price per kilogram of steel bar, x being the added delivery fee.
If you were to solve the equaltion it would go x=230-100y by changing the first equation around the replacing that for the x int he second group, so you would get 150y+230-100y=320 or 50y=90 So Y=9/5dollars per kilogram. Or $1.8per kilogram, the delivery fee being $50
