The coefficient of correlation is independent of change of scale and origin of the variable X and Y. Change of origin means some value has been added or subtracted in the observation. If we divide all observations with x then new mean =initial mean/x.
Profit, or the surplus money after your costs are covered, is Revenue - Costs.
so in this case the profit P(x) = R(x) - C(x).
![\bf P(x)=(135x)-(93x+35000)\implies P(x)=135x-93x-35000 \\\\\\ P(x)=42x-35000 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{selling 5000 mp3s}}{P(5000)=42(5000)-35000}\implies P(5000)=210000-35000 \\\\\\ P(5000)=175000](https://tex.z-dn.net/?f=%5Cbf%20P%28x%29%3D%28135x%29-%2893x%2B35000%29%5Cimplies%20P%28x%29%3D135x-93x-35000%0A%5C%5C%5C%5C%5C%5C%0AP%28x%29%3D42x-35000%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0A%5Cstackrel%7B%5Ctextit%7Bselling%205000%20mp3s%7D%7D%7BP%285000%29%3D42%285000%29-35000%7D%5Cimplies%20P%285000%29%3D210000-35000%0A%5C%5C%5C%5C%5C%5C%0AP%285000%29%3D175000)
Answer:
-66.6666666666666666666666666666666666666666666666 on the calculator thats wierd
Step-by-step explanation:
Answer:
the limit does not exist
Step-by-step explanation:
As x approaches π/2 from below, tan(x) approaches +∞. A x approaches π/2 from above, tan(x) approaches -∞. These two limits are not the same, so the limit is said not to exist.
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For a limit to exist, it must be the same regardless of the direction of approach.
Answer: (D) <em>bottom right graph</em>
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: f(x) = a(x - h)² + k, where
- (h, k) is the vertex
- |a| is the vertical stretch
- sign of "a" determines the direction of the parabola
Given g(x) = (x - 3)² - 5
- vertex (h, k) = (3, -5)
- vertical stretch |a| = 1
- sign of "a" is positive so parabola points up
The only graph that satisfies all of these conditions is the bottom right.
