Answer:
9.750
Step-by-step explanation:
formula for average rate of change is ;
f(b)- f(a)/b- a
here a = 1 and b = 2.5
f(b) = (2.5)^3 + 2 = 17.625
f(a) = 1^3+ 2 = 3
using the formula above, we have it that
(17.625-3)/2.5-1 = 9.750
Answer:
1. 
2. 
Step-by-step explanation:
1. The area of a hexagon is A = 
Here our a is 4, so plugging in 4 to our equation gives 
which simplifies to
2. The area of an octagon is 
Here our r is 9, so plugging in 9 to our equation gives 
which simplifies to
You didn’t upload any picture maybe you forgot to
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
Answer:
67 degrees
Step-by-step explanation:
first find angle abc by subtracting 68 from 101 == 33
then add it to half of 68 (34) to get angle abe
we know it is half because if there is a bisector, both angles cbe and ebd are equal
