Answer:
The volume of the cart will be 24 ft^3
Step-by-step explanation:
The first thing we need to calculate for this question is the number of boxes that fill the entire cart.
A layer of boxes consists of 8 boxes.
The cart holds a maximum of 3 layers of boxes.
So, the total number of boxes held by the cart are:
Total boxes = number of layers * boxes per layer
Total boxes = 3 * 8
Total boxes = 24
Since each box has a volume of one cubic foot, the total volume of the cart will be:
Volume of cart = number of boxes * volume of each box
Volume of cart = 24 * 1
Volume of cart = 24 ft^3
Answer:
It is increasing
The y-intercept is (0, 3).
The domain of F(x) is all real numbers.
Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.

...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get



Putting k=105 in (i), we get

Therefore, the required equation is
.
Solve the system by graphing
{y = 7 - x the slope is -1 and the y intercept is 7
{x + 3y = 11 3y = -x+11 y = 1/3 x + 11/3 the slope is 1/3 and the y intercept is 11/3
The solution is x=5, y=2 you will need to graph
Classify the system without graphing
{2x + y = 3 y = -2x+3
{y = -2x - 1
These lines are parallel same slope different y intercept
C) Inconsistent System
Classify the system without graphing
{x + 3y = 9
{-2x - 6y = -18 divide by -2
x+3y = 9
same line
A) Dependent System