Answer:
The average rate of change of the function over the interval is 5.
Step-by-step explanation:
Average rate of change of a function:
The average rate of change of a function f(x) over an interval [a,b] is given by:

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3
This means that 

So


Average rate of change

The average rate of change of the function over the interval is 5.
Answer and Explanation:
Number of classes = 8
Highest value =2300
Lowest value = 1250
Class width= highest value – lowest value / number of classes
= 2300 – 1250/8
= 131.25 = 132
So, we can write class as 1250+132=1382
Class frequency
1250-1382 2
1382-1514 3
1514-1646 6
1646-1778 2
1778-1910 3
1910-2042 2
2042-2174 1
2174-2306 1
Answer:
The solutions are:

Step-by-step explanation:
Considering the expression
Solving the expression












So,

Therefore, the solutions are:

Given:
Sides of triangles in the options.
To find:
Which could NOT be the lengths of the sides of a triangle.
Solution:
Condition for triangle:
Sum of two smaller sides of a triangle must be greater than the longest side.
In option A,

Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.
In option B,

Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.
In option C,

Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.
In option D,

Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.
Therefore, the correct option is D.
Answer:
0
Step-by-step explanation:
Chalice with purified water = 4
With spoiled milk = 5
With flat soda = 6
Probability of Jones drinking from a chalice with purified water after Donovan had drank from 3 = 1/3
Probability = required outcome / Total possible outcomes
Total possible outcomes = (4 + 5 + 6) = 15
After Donovan drinks 3 :
Total possible outcomes = (15 - 3) = 12
If the probability of Jones choosing a chalice with purified water is 1/3 then :
(Required outcome / Total possible outcomes) =1 /3
(Required outcome / 12) = 1 / 3
Required outcome * 3 = 12
Required outcome = 12 / 3
Required outcome = 4
Therefore, since initial number of chalice with purified water is 4,
4 - 4 = 0
Then Donovan did not drink from a chalice containing purified water.