Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change = 
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change = 
= 
= 30
Answer:
5
Step-by-step explanation:
( divide numerator and denominator by 5 ) , then
= 
( with missing number ? = 5 )
Answer:
Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.
Step-by-step explanation:
Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.
The temperature at 9 am was -11 degrees.
We know that at 5 am, it was -7 degrees. Since the change of temperature is a negative number, then we subtract the absolute value of the change from -7. -7 - 3 = -10. Following this pattern, we then have:
-10 - 2 = -12 (6 am - 7 am)
-12 - 5 = -17 (7 am - 8 am)
-17 + 6 = -11 (8 am - 9 am, added since it was a positive change of temperature)
And our final answer is -11 degrees Fahrenheit.
I got 6 for my answer, but I'm not 100% sure if I'm right.
6(2x-11)+15=21
12x-66+15=21
12x-51=21
+51 +51
12x=72
----- ----
12 12
x=6
