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.
3/16 of 224 is 42.
42 need to show up.
2/3 of the 42 people need to vote Yes to be approved.
2/3 of 42 is 28.
Answer:
8 / sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = BC / AC
tan 30 = BC / 8
8 tan 30 = BC
8 * sqrt(3)/3 = BC
8/3 sqrt(3) = BC
Subtract 3x from both sides:
-6y = -3x + 6
divide both sides by -6 to get y by itself:
y = 1/2x - 1
function notation is rewriting y as a function:
f(x) = 1/2x -1
Answer:
8 is the number you seek
Step-by-step explanation: