Answer: y = 3.5 x+ 43.8
Step-by-step explanation:
Here x represents the number of years after 1990
Thus, we get the table that is used to find the equation will be,
x 0 2 4 6 8
y 45 51 57 61 75
Let the equation that shows the above data,
y = b + a x ---------(1)
By the above table,
By substituting these values in the above value of a and b,
We get b = 43.8 and a = 3.5
Substitute this value in equation (1)
we get, the equation that shows the given data is,
y = 3.5 x + 43.8
⇒ Option (3) is correct.
Answer:
Something happens...
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.
So, 1/6 * 1/6 = 1/36
Hope this is helpful
Answer:
By an online search, i found that the options are:
Option A. A(10)
Option B. A(11)-A(9)
Option C. A(10)/10
Option D. A’(10)
Let´s start by defining the concept of a derivative.
When we have a function f(x), the derivative, f´(x), is a measure of the rate of change of f(x) with respect to the variable x.
Then if A(t) represents the area covered by the oil, A´(t) is the rate of change of this area as a function of t.
Particularly, A´(10), will be the rate of change at t = 10.
Then the correct option is: Option D. A´(10)
Answer:
2
Step-by-step explanation:
The average rate of change from x=1 to x=2 is the same as finding the slope of a line at x=1 and x=2.
So we are going to need to corresponding y coordinates.
What y corresponds to x=1? y=3
What y corresponds to x=2? y=5
So we have the ordered pairs (1,3) and (2,5).
Line the points up vertically and subtract vertically then put 2nd difference over 1st difference.
(2 , 5)
-(1 , 3)
-----------
1 2
The average rate of change is 2/1 or just 2.
Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.
