Answer:
is your average rate of change,
Step-by-step explanation:
average rate of change is
, by slope formula
simplify this to get
, which is the definition of the derivative as h goes to 0
![\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7Bf%28a%2Bh%29-f%28a%29%7D%7Bh%7D)
since you defined x=a, we can substitute a for x and vice versa to find our derivative.
![\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7B%282x%5E2%2B%5Cfrac%7B1000%7D%7Bx%2Bh%7D%29-%282x%5E2%2B%5Cfrac%7B1000%7D%7Bx%7D%29%7D%7Bh%7D)
simplifying
(your average rate of change)
Answer:
500,000 =
5 × 100,000
+ 0 × 10,000
+ 0 × 1,000
+ 0 × 100
+ 0 × 10
+ 0 × 1
Step-by-step explanation:
there are more then one ways of writing this so here's another example
500,000 =
500,000
+ 0
+ 0
+ 0
+ 0
+ 0
The correct answer is 2a^2
![\mathbb P(X>284)=\mathbb P\left(\dfrac{X-250}{50}>\dfrac{284-250}{50}\right)=\mathbb P(Z>0.68)\approx0.248](https://tex.z-dn.net/?f=%5Cmathbb%20P%28X%3E284%29%3D%5Cmathbb%20P%5Cleft%28%5Cdfrac%7BX-250%7D%7B50%7D%3E%5Cdfrac%7B284-250%7D%7B50%7D%5Cright%29%3D%5Cmathbb%20P%28Z%3E0.68%29%5Capprox0.248)
Out of 320 student, you should expect about 25% of them to score above 284, or about 80 students.
The answer for this is 10