Answer:
The average rate of change is 12.
Step-by-step explanation:
Given
p(x)= x^2+6x+5
The average rate of change in the given interval a ≤ x ≤ b is given by the expression
Rate of change= (p(b)-p(a))/(b-a)
Here p(b) is the value of function at point b and p(a) is the value of function point a.
From the question,
a = 1
and
b = 5
So,
Rate of change= (p(5)-p(1))/(5-1)
Now,
p(5)= (5)^2+6(5)+5
p(5)=25+30+5
p(5)=60
And
p(1)= (1)^2+6(1)+5
p(1)=1+6+5
p(1)=12
Putting in the formula
Rate of change= (60-12)/(5-1)
= 48/4
=12
Answer:
2,616.67cm³
Step-by-step explanation:
<em>Find the diagram attached</em>
volume of the cone = πr²h/3
r is the radius = 10cm
h is the height = 25cm
Substitute
V = 3.14(10)²*25/3
V = 314*25/3
V = 7850/3
V = 2,616.67cm³
Hence the volume of the cone to the nearest hundredth is 2,616.67cm³
Perpendicular line will have a slope of -2/3.
y-1 =-2/3(x+6). or. y = -2/3x - 3
