Answer:
g(x) = –3(x + 6)2 + 48.
Step-by-step explanation:
The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.
Answer:
x = 2.5
Step-by-step explanation:
2x - 11 = -8x + 14
Add 8x to both sides
10x - 11 = 14
Add 11 to both sides
10x = 25
Divide both sides by 10
x = 2.5
Graph this compound inequality 2.5 is equal to or less than x is equal to or less than 4.5
2.5 <= x < = 4.5
We graph this inequality using number line.
Here x lies between 2.5 and 4.5
While graphing, we start with closed circle at 2.5 because we have equal symbol .
Then shade till 4.5. Use closed circle at 4.5.
The graph is attached below.
Answer:
∂u/∂xi = i·cos(sn)
Step-by-step explanation:
For u = sin(v), the partial derivative of u with respect to xi is ...
∂u/∂xi = cos(v)·∂v/xi
In this case, v=sn, and ∂sn/∂xi = i, so the derivatives of interest are ...
∂u/∂xi = i·cos(sn)
Answer:
√109
Step-by-step explanation:
3^2 + 10^2 = c^2
9 + 100 = 109^2