Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change = 
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change = 
= 
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change = 
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change = 
= 
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change = 
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change = 
= 
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change = 
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change = 
= 
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
10
Step-by-step explanation:
Let c = sum of ages of all children.
mean age of all children = c/15 = 7
c = 15 * 7 = 105
The sum of the ages of all children is 105.
Let b = sum of ages of the 9 boys.
mean age of boys = b/9 = 5
b = 9 * 5 = 45
The sum of the ages of the boys is 45.
The sum of the ages of the girls is c - b.
c - b = 105 - 45 = 60
The number of girls is 15 - 9 = 6
mean age of girls = (sum of ages of the girls)/(number of girls) =
= 60/6 = 10
745/x=100/36
<span>(745/x)*x=(100/36)*x
</span><span>745=2.7777777777778*x
</span>(2.7777777777778) to get x
<span>745/2.7777777777778=x </span>
<span>268.2=x </span>
<span>x=268.2
</span>
answer <span>36% of 745=268.2</span>
Answer:
3 or c
Step-by-step explanation:
Answer:
x = 97
Step-by-step explanation:
Question 2:
Recall that, the sum of all 4 angles in a quadrilateral = 360°.
This means that all the interior angles of the quadrilateral given above would sum up to 360°.
To find the value of x, create an equation by adding all the interior angles and set the sum equal to 360°.
Thus:
(x + 10) + x + 59 + x = 360°
Add like terms
3x + 69 = 360
3x + 69 - 69 = 360 - 69
3x = 291
3x/3 = 291/3
x = 97
