Answer:
there is not enough information to solve
Step-by-step explanation:
You need two ordered pairs to calculate the average rate of change.
Let's say the value of the function at n = 1 is a, and the value of the function at n = 3 is b, then the average rate of change from n = 1 to n = 3 is
(b - a)/(3 - 1) = (b - a)/2
slope = - 
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 3y = - 12 into this form
subtract 2x from both sides
3y = - 2x - 12 ( divide all terms by 3 )
y = -
x - 4 ← in slope- intercept form
with slope m = - 
f(x) is a linear function with no restrictions
Domain: x = All real numbers
Range: y = All real numbers
Answer:
p = 56.7°
n = 123.3°
Step-by-step explanation:
The sum of linear pair angles is 180° because, because a linear pair angles, are angles formed by two intersected lines and the angle of a straight line is 180°.
Then your first equation is:
n + p = 180°
The second equation can be formulated with the information given:
"angle n is 10 more than twice the measure of angle p."
n = 10 + 2p
Replacing in the first equation:
10 + 2p + p = 180°
3p = 170°
p = 56.7°
n = 123.3°
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and
is the decay factor and
is the growth factor.
The exponential function passes through the point (0,6). Substituting
in (i), we get



The exponential function passes through the point (1,2). Substituting
in (i), we get




Here,
lies between 0 and 1. Therefore, the decay factor of the given exponential function is
.
Hence, the correct option is A.