Answer:
2
Step-by-step explanation:
The equation can be rewritten as ...
... (x -5)² + (y +3)² = 0 . . . . . . a circle of radius 0 centered at (5, -3)
This is the equation of the point (5, -3). So, ...
... x + y = 5 - 3 = 2
Unsure of whether this is a composite function or not. It does look like you've multiplied f(x) and g(x) together.
Looking at <span>-30x2 - 9x + 12, we see immediately that this is a polynomial function. Because of that, the domain is the set of all real numbers. The graph of this poly opens down, so the max value is at the vertex, x = -b / (2a).
Here a= -6 and b= -9, so this x-value is -(-9) / (2*(-6)), or x = 9/12, or x = 3/4.
By subst. 3/4 for x in the poly., we find that the max y value is 4.83. Thus,the rante is (-infinity, 4.83].</span>
HERE ARE THE ANSWERS AND A DEMONSTRATION OF HOW TO SOLVE THEM:
15. 20 16. 51 17. -4 18. -17
19. -2 20. -8 21. 16 22. -2
23. -3 24. 6 25. -20 26. -28
27. -23 28. 12