Answer:
Tamara's example is in fact an example that represents a linear functional relationship.
- This is because the cost of baby-sitting is linearly related to the amount of hours the nany spend with the child: the more hours the nany spends with the child, the higher the cost of baby-sitting, and this relation is constant: for every extra hour the cost increases at a constant rate of $6.5.
- If we want to represent the total cost of baby-sitting in a graph, taking the variable "y" as the total cost of baby-sitting and the variable "x" as the amount of hours the nany remains with the baby, y=5+6.5x (see the graph attached).
- The relation is linear because the cost increases proportionally with the amount of hours ($6.5 per hour).
- See table attached, were you can see the increses in total cost of baby sitting (y) when the amount of hours (x) increases.
Answer:
-13, 0.4,7 its the 4th one
Step-by-step explanation:
Answer:
The correct option is D.
Step-by-step explanation:
The linear regression equation is in the form of
Where,
The formula of r is
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n(\sum x^2)-(\sum x)^2][n(\sum y^2)-(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%28%5Csum%20x%5E2%29-%28%5Csum%20x%29%5E2%5D%5Bn%28%5Csum%20y%5E2%29-%28%5Csum%20y%29%5E2%5D%7D%7D)
The values are
Using above formula, we get
Therefore option D is correct.
Answer:
(2xy)³
Step-by-step explanation:
According to the Power Rule of Exponents:
We can apply the Power Rule of Exponents to the given exponential expression, 8x³y³, by taking the smallest factor that when cubed (or raised to an exponent of 3), will produce the same results as the original exponential expression.
8 is a perfect cube of 2: ⇒ 2 × 2 × 2 = 2³ = 8
The cube of x is x³: ⇒ x × x × x = x³
The cube of y is y³ ⇒ y × y × y = y³
Hence, we can take the least common factors, (2xy) and raise them to the third power:
(2xy)³ = 2³x³y³ = 8x³y³
Therefore, the correct answer is: (2xy)³
The third graph (from left to right)
12 miles per hour would mean the line should be a consistent incline
the graph shows the line hitting (1, 12) .. (2, 24) ... (3, 36) which is constant
so that graph is correct
