S=50x-x^2
dS/dx=50-2x
d2S/dx2=-2
Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...
dS/dx=0 only when 50-2x=0, 2x=50, x=25
So the price that will maximize income is $25.00 a seat.
And that maximum income is:
S(25)=50x-x^2
S(25)=$625.00
Given transformation is f(x+5) which is similar to f(x+h).
f(x+h) shifts the graph "h" units to the left side.
so that means f(x+5) will shift the graph "5" units to the left side.
Left or right movement is done using x-coordinate only so -3 will change in (-3,7)
-3+5=2
so the new coordinate of the point will be (2,7)
Hence final answer is (2,7).
I am thinking is C but I am still not sure
Answer:
The z-score for an income of $2,100 is 1.
Step-by-step explanation:
If X N (µ, σ²), then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:
Thus, the z-score for an income of $2,100 is 1.