David's total income is ($8/hr)x + ($11/hr)y.
This problem requires us to write and solve an inequality:
8x + 11(15)<$200
Solving for x: 8x < $200-$165, or 8x < $35. Strictly speaking, x = 4.375 hrs, but if we assume that David must work an integer # of hours, then x=5 full hours.
78 * 3/4 hour,
it is 6 hours
Another way to ask this question: where the x-value of function g equals 12, what's the y-value?
remember that function notation is like so: f(x), g(x), h(x)... so the number in the parentheses is an x-value from the function.
look through your points and find the one that represents an x-value of 12. (12, 19) is the point, and 19 is your output--so, g(12) = 19.
Answer: Option D

Step-by-step explanation:
For a quadratic function of the form

The x coordinate of the vertice is:

In this case the function is:

So

The x coordinate of the vertice is:

The y coordinate of the vertice is:

The vertice is: (-3, -11)
The form e vertice for a quadratic equation is:

Where
the x coordinate of the vertice is h and the y coordinate of the vertice is k.
Then h=-3 and k =-11
Finally the equation
in vertex form is:

200
Because you have to multiply