Answer:
Shown in the picture
Step-by-step explanation:
A:
Set the value of x to "5" and "30" to find the corresponding values of y (i.e. the altitudes of the plane at 5 or 30 minutes after beginning descent).
B:
Use the the same method to determine the set of coordinates (/ordered pairs) at each of the values for x given in part B of the question.
C:
The initial value is simply the starting value of y, or in other words, the altitude at which the plane begins to descend in this context;
So it will be 0 mins after the beginning of descent of the plane, i.e. when x = 0, therefore the answer is (0, 28000) as an ordered pair or simply 28000 ft.
D:
Rate of change is a fancy or more technical way of referring to the gradient of a function;
In this case of the context of a plane descending, it refers to the change in altitude over time;
This can be calculated using any two ordered pairs (or coordinates as I call them) using the formula of the difference in the y values divided by the difference in the x values.
Answer:
Proved Below
Step-by-step explanation:

Hence, Proved that
is equivalent to
.
So first you distribute the 5 to the x and the +2 and get
5x+10=3(x+8)
then you distribute the 3 to the other x and the +8 and get
5x+10=3x+24
subtract 3x from both sides
2x+10=24
subtract 10 from both sides and get
2x=14
divide both sides by 2 and get
x=7
Answer: 0.0170
Step-by-step explanation:
Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.
i.e. 

We assume the distribution of amounts purchased follows the normal distribution.
Sample size : n=50
Let
be the sample mean.
Formula : 
Then, the probability that the sample mean is at least $25.00 will be :-

Hence, the likelihood the sample mean is at least $25.00= 0.0170