You have to do a system, lets say x are noble fir trees and y are douglas fir trees,
5x+3y=420
12x+9y=1080
if you solve this you get,
x=60 and
y=40
SO Noble fir trees cost $60 and Douglas fir trees cost $40.
That funky circle in the middle is the composition of the function. It asks you to take a function as an input and to yield an output that's another function. It's one of the five function operations, along with adding, subtracting, multiplying, and dividing.
When you compose, you might find the notation w(u(x)) easier to understand. It's saying evaluate u then evaluate w.
For our functions, the compositions are:
u(w(x)) = u(2x²) = -(2x²) - 2 = -2x² - 2
w(u(x)) = w(-x - 2) = 2(-x - 2)² = 2(x² + 4x + 4) = =2x²+ 8x +8
Now we evaluate each composition at 4.
u(w(4)) = -2(4²) - 2 = -2(16) - 2 = -32 -2 = -34
w(u(4)) = -2(2²) +8(2) + 8 = -2(4) + 16 + 8 = -8 + 16 + 8 = 16.
Thus, u(w(4)) = -34 and w(u(4)) = 16.
Step-by-step explanation:
12000 abitanti all'inizio del 2007
nati: 1.7% × 12000 = 204
morti: 2% × 12000 = 240
popolazione all'inizio del 2008: 12000 + 204 - 240 = 11964
If 7 is the value F it makes the equation true!
An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate. The only graph that fits these characteristics is the first one.
