Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
Answer:
1. 23/20 miles, 2. 7/20 miles
Step-by-step explanation:
1. Total distance = 3/4 + 2/5
= (3*5)/(4*5) + (2*4)/(5*4)
= 15/20 + 8/20
= 23/20
= 1 3/20 miles
2. Difference between walked miles and jogged miles = 3/4 - 2/5
= 15/20 - 8/20
= 7/20 miles
General Idea:
We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.
Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).
To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.
Formula Used:

Applying the concept:
Volume of Small Cube:

Conclusion:
The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>
Answer:
The average rate of change from x=0 to x=1 for f(x) is 0.
Step-by-step explanation:
We are given the function
.
Now, the rate average rate of change of a function from
to
is given by
.
As, we need the rate of change from x = 0 to x = 1.
So, we will find the values of f(0) and f(1).
i.e.
i.e. f(0) = 3
and
i.e.
i.e. f(1) = 3
Thus, the rate of change from x=0 to x=1 is
i.e.
i.e. 0
Hence, the average rate of change from x=0 to x=1 for f(x) is 0.