Recall that
.
If you know the Maclaurin series for
, finding this expansion should be easy.
These equations are already in vertex form. So, we can easily find the vertex of each equation.
f(x) = -(x-1)^2 - 2
Vertex: (1,-2)
The vertex in this equation is the maximum because it faces down (a=-1).
g(x) = (x+2)^2 + 1
Vertex: (-2,1)
The vertex in this equation is the minimum because it faces up (a=1).
Answer:
Step-by-step explanation:
Let p represent the number of pens Nick sold. Then the revenue is ...
0.10p +0.05(1000 -p) = 74.50
0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50
p = 490 . . . . . . . . . . . . multiply by 20
The number of pencils sold is then ...
pencils = 1000 -490 = 510
Nick's Printing Press sold 490 pens and 510 pencils.
