Given that the function is 
We need to determine the average rate of change over the interval 
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function , we have;
Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function , we have;
Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,
where 
and 
Thus, we have;
Thus, the average rate of change over the interval is -1.
If the square translates to 7 units on the right and 6 units downwards, the following changes will be made:
Point S will have the coordinates of (3, -5).
Point R will have the coordinates of (-1, -5).
Point U will have the coordinates of (-1, -9).
Point T will have the coordinates of (3, -9).
According to the only answer choices in the picture, only (-5, -3) is the only point that lies on a side of the pre-image, square RSTU.
The company can offer a variety of benefits not inly for the employee but also for the family.
Answer:
6 cm
Step-by-step explanation:
If the original side length is x, then the modified square has an area of ...
A = LW
32 = (x +2)(x -2) = x^2 -4
36 = x^2 . . . . . . . . add 4
6 = x . . . . . . . . . . take the square root
The original figure has a side length of 6 cm.
__
<em>Check</em>
The modified figure is 8 cm by 4 cm = 32 cm^2.
Answer: Binomial distribution
Step-by-step explanation:
The binomial appropriation is a likelihood circulation that sums up the probability that a worth will take one of two free qualities under a given arrangement of boundaries or suspicions. The hidden suspicions of the binomial dispersion are that there is just a single result for every preliminary, that every preliminary has a similar likelihood of achievement, and that every preliminary is totally unrelated, or autonomous of one another.
