Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 1, 4 ] , then
f(b) = f(4) = 4³ - 6(4)² - 4 = 64 - 96 - 4 = - 36
f(a) = f(- 1) = (- 1)³ - 6(- 1)² - (- 1) = - 1 - 6 + 1 = - 6 , then
average rate of change =
=
=
= - 6
Given:
Image of the pyramid
To identify:
The cross section of the solid.
Solution:
The given image is a pyramid.
The base of the pyramid have 5 edges.
So, it is a pentagonal pyramid.
In the cross section also have 5 edges.
Therefore the cross section of the solid shown in the diagram is pentagon.
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)
Answer:
Perimeter of a square that measure 5.35 on one side is, 21.4 cm
Step-by-step explanation:
Perimeter of a square is the total length of the boundary of a square.
It is given by:
......[1] where
P represents the perimeter of square,
a represents the side of square.
Given: a = 5.35 cm
Substitute this value in [1] we get;
P = 4(5.35) = 21.4 cm
therefore, the perimeter of a square is, 21.4 cm
Answer:
27x-64x^2
Step-by-step explanation:
Distribute the 8x
3x-64x^2+24x
Combine like terms (3x and 24x)
27x-64x^2