Answer:
So, how do we check to see if two functions are inverses of each other? Well, we learned before that we can look at the graphs.
Step-by-step explanation:
Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Answer:
90 mi/h
Step-by-step explanation:
Given,
For first 30 miles, her speed is 30 miles per hour,
Let x be her speed in miles per hour for another 30 miles,
Since, here the distance are equal in each interval,
So, the average speed of the entire journey


According to the question,



Hence, she needs to go 90 miles per hour for remaining 30 miles.
Answer:
16
Step-by-step explanation:
Since line CE is equal to 32 and line DB is the bisector (cut into the middle) of line CE then line CF would be half of line CE. Hence the reason that line CF is equal to 16
Answer:
The replacing the grass will cost Mr. Ishimoto $14.00.
Step-by-step explanation:
The area of a rectangular field is:

It is provided that Mr. Ishimoto needs to replace the grass in the section of his lawn.
The grass section can be broken into 2 rectangles.
First rectangle: Base = 7 feet and Height = 3 feet.
Second rectangle: Base = 2 feet and Height = 7 feet.
Compute the area of both the rectangles as follows:

Now the cost of the new grass is $0.40 per square foot.
Compute the cost of replacing the grass in the first rectangular section as follows:


Compute the cost of replacing the grass in the second rectangular section as follows:


The total cost of replacing the grass is:


Thus, the replacing the grass will cost Mr. Ishimoto $14.00.
Answer:
A) (2x − 7) (4x² + 14x + 49)
C) (3x + 5) (9x² − 15x + 25)
Step-by-step explanation:
Sums and differences of cubes factor as:
a³ + b³ = (a + b) (a² − ab + b²)
a³ − b³ = (a − b) (a² + ab + b²)
8x³ − 343 is a difference of cubes.
(2x)³ − 7³
(2x − 7) (4x² + 14x + 49)
27x³ + 125 is a sum of cubes.
(3x)³ + 5³
(3x + 5) (9x² − 15x + 25)