Answer with explanation:
It is given that, there is positive correlation between drinking coconut milk and eating potato chips.
→Correlation coefficient is denoted by r.
→The value of r lies between , -1 and 1 which is represented as , -1 ≤r≤1.
→Correlation that is relation between two variables is said to be strongly positive, if r is equal to 1, and it is said to be strongly weak, if it is equal to -1 , and said to have no association if r=0.
→ The meaning of positive correlation is that value of r, is greater than >0.8 but less than 1.
The two variables which are positively correlated ,can have following relationship.
1. With increase in one other increases.
2.With decrease in one other decreases.
3. Slope will be a linear that is a straight line not passing through origin.
In this question it is already given that a person travels 8 miles in 0.5 hours. This is enough information to get to the required answer. Let us first write down all the information's that are already given in the question.
In 0.5 hours the person covers a distance = 8 miles
Then
In 1 hour the person covers a distance of = 8/0.5 miles
= 16 miles
So the speed of the person in miles per hour = 16/1 miles/hour
= 16 miles per hour
Finding the slope using two points:
The formula for slope is
In this case...
^^^Plug these numbers into the formula for slope...
^^^Can be further simplified to...
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes
-x + 2y = 6 then x = 2y - 6
6y = x +18 then x = 6y - 18
-----------------------substract
0 = -4y + 12
4y = 12
y = 3
-x + 2y = 6
-x + 2(3) = 6
-x = 6 - 6
x = 0
answer: x = 0 (second choice)
Answer:
The inverse function f^-1 (x) = (1/5) x
Step-by-step explanation:
* Lets explain what is the meaning of f^-1(x)
- f^-1 (x) the inverse function of f(x)
* How to find the inverse function
- In the function f(x) = ax + b, where a and b are constant
- Lets switch x and y
∵ y = ax + b
∴ x = ay + b
* Now lets solve to find y in terms of x
∵ x = ay + b ⇒ subtract b from the both sides
∴ x - b = ay ⇒ divide the two sides by a
∴ (x - b)/a = y
∴ The inverse function f^-1 (x) = (x - b)/a
* Lets do that with our problem
∵ f(x) = 5x ⇒ y = 5x
∴ x = 5y
- Find y in terms of x
∵ x = 5y ⇒ divide the both sides by 5
∴ x/5 = y
∴ f^-1 (x) = (1/5) x
* The inverse function f^-1 (x) = (1/5) x
