Answer:
32.2683333333
Step-by-step explanation:
Yes, the situation as described is proportional.
Discussion:
According to the question:
- We are required to determine if the situation described in the question is proportional.
Since, Aisha pays $2 for each game she plays at the arcade.
In essence, the total amount of money paid by Aisha will depend on the number of games she plays. On this note, the situation is proportional.
Read more on proportional:
brainly.com/question/3202565
Answer:
<h2>Any point on the purple region.</h2>
<em>Look at the picture.</em>
Step-by-step explanation:
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded region below a line
>, ≥ - shaded region above a line
y = 3x
for x = 0 → y = 3(0) = 0 → (0, 0)
for x = 2 → y = 3(2) = 6 → (2, 6)
y < 3x - dotted line, shaded region below the line
y = 5 - it's a horizontal line passes througth points (x, 5) <em>/x - any real number/</em>
y < 5 - dotted line, shaded region below the line
Answer:
The average value of the function on the given interval 6.5.
Step-by-step explanation:
Consider the given function is

We need to find the average value of the function on the given interval [1,13].


The average value of the function f(x) on [a,b] is

Average value of the function on the given interval [1,13] is

![Average=\dfrac{1}{12}[\dfrac{x^2}{2}-0.5x]^{13}_{1}](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7Bx%5E2%7D%7B2%7D-0.5x%5D%5E%7B13%7D_%7B1%7D)
![Average=\dfrac{1}{12}[\dfrac{(13)^2}{2}-0.5(13)-(\dfrac{(1)^2}{2}-0.5(1))]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7B%2813%29%5E2%7D%7B2%7D-0.5%2813%29-%28%5Cdfrac%7B%281%29%5E2%7D%7B2%7D-0.5%281%29%29%5D)
![Average=\dfrac{1}{12}[78-0]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B78-0%5D)

Therefore, the average value of the function on the given interval 6.5.