Answer:
Step-by-step explanation: Im not to good at math but hope that hlps
2/5 = 2/10 + k
multiply both sides (each term) by 10, we get
10×2/5 = 10× 2/10 + k ×10
4 = 2 + 10k
OR 10k = 4 - 2
10 k = 2
k = 2 / 10
Or k = 1/5
Answer:
The independent variable is s and the dependent variable is r
Step-by-step explanation:
r = 5s+3
The independent variable is s and the dependent variable is r
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.
Answer:
I think it should be 5y+24
