Answer:
P = 2(n - 6) + 2(n^2 - 8)
Step-by-step explanation:
Remembering that Area = Length times Width, we factor the given function
A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:
A = n^3 - 6n^2 - 8n + 48 factors as follows:
A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)
We can label '(n - 6)' "width" and '(n^2 - 8'
length.
Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:
P = 2(n - 6) + 2(n^2 - 8)
Answer: Look at explanation
Step-by-step explanation:
32 = 2 x 2 x 2 x 2 x 2
27 = 3 x 3 x 3
16 = 2 x 2 x 2 x 2
No as 32 can be broken down to 8 and 4 and not just pime and not prime
Answer:
yes this is true
Step-by-step explanation:
this is because 2x3=6 so 2x3g=6g
Answer:
<u>f(x) = 50 + 25(x - 1)</u>
Step-by-step explanation:
Let's write an equation to represent the function that will allow Damon to calculate the cost of his video game membership service:
Lifetime membership fee = $ 50
First video game is free
Then any video game purchased after = $ 25.
Let x to represent the total cost of the video game membership service, in consequence we can write the equation this way:
<u>f(x) = 50 + 25(x - 1)</u>
- If x = 1, then f(1) = 50 + 0 = 50
- If x = 2, then f(2) = 50 + 25 = 75
- If x = 5, then f(5) = 50 + 100 = 150
Answer:
Jen needs approximately 8 tiles to cover the kitchen floor
Step-by-step explanation:
What we want to calculate here is the number of tiles needed to cover the kitchen floor.
The first thing we need to do here is to calculate the area of the kitchen floor.
Mathematically, that would be the product of the length of the kitchen floor and the length of the width.
That is; 4 5/6 * 5 = 29/6 * 5 = 145/6 m^2
Now, to calculate the number of tiles needed, we only need to divide the area of the kitchen floor by the area of the individual tiles
Mathematically, that would be;
145/6 ÷ 3 = 145/6 * 1/3 = 145/18 = 8.05556
This is approximately 8 tiles
