Answer:
$17
Step-by-step explanation:
initial cost + hourly rate (number of hours)
$5 + $3 x 4
$5 + $12
= $17
To be perpendicular the product of the two slopes must equal -1.
2m/5=-1
2m=-5
m=-2.5
since y=mx+b we have so far
y=-2.5x+b, using point (-3,4) we can solve for b
4=-2.5(-3)+b
4=7.5+b
b=-3.5 so
y=-2.5x-3.5 We can multiply the whole equation by two so that the coefficients are integers...
2y=-5x-7 add 5x to both sides
5x-2y=-7
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:
A. f(x) = −2|x| + 1
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
We have been given that
and
. We are asked to write N as a discrete exponential function of t of the form
.
Using our given information, we can set an equation as:



Using our given information, we will get:

Substitute the given values:



Switch sides:

Take 11th root of both sides:
![\sqrt[11]{(1+r)^{11}}=\sqrt[11]{1.5476190476190476}](https://tex.z-dn.net/?f=%5Csqrt%5B11%5D%7B%281%2Br%29%5E%7B11%7D%7D%3D%5Csqrt%5B11%5D%7B1.5476190476190476%7D)




Therefore, our required function would be
.