Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:

Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:

The average rate of change of h(x) in the given interval is 7.
Answer:
65 adult tickets and 135 student tickets were sold.
Step-by-step explanation:
4s + 6a = 930
s + a = 200
s = -a + 200
4(-a + 200) + 6a = 930
-4a + 800 + 6a = 930
2a + 800 = 930
2a = 130
a = 65
There were 65 adult tickets sold.
200 - 65 = 135
There were 135 student tickets sold.
Check:
4(135) + 6(65) = 930
540 + 390 = 930
930 = 930
The answer is A. 17 cm, 5 cm, 13 cm
For the triangle:
a+b > c
b+c > a
a+c > b
Check all choices:
<span>A. 17 cm, 5 cm, 13 cm
a = 17
b = 5
c = 13
17+5 = 22
22 > 13
5+13= 18
18 > 17
17+13=30
30>5
If you check other choices, you will see they are incorrect.</span>
Given that Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale.
Part A:
Let the number of litres of cranberry juice be x, then the total number of liters of the punch is given by x/0.8
Thus, x + 2 = x/0.8
0.8x + 1.6 = x
0.2x = 1.6
Therefore, the equation with one variable that can be used to find the total number of liters of canbelly juice and ginger ale in the punch is: 0.2x = 1.6, where x is the number of liters of canberry juice in the punch.
Part B.
Given from part A that the number of liters of canberry juice in the punch is given by 0.2x = 1.6, where x is the number of liters of canberry juice in the punch.
Therefore, the number of liters of canberry juice in the punch is x = 1.6 / 0.2 = 8 liters of canberry juice.
The answer is A. The G1 portion of interphase.