Answer:
yes
Step-by-step explanation:
The other factor is (x+5), so the product is ...
(x^4 -1)(x +5) = x^5 +5x^4 -x -5 = P(x)
(x^4 -1) is a factor of P(x).
_____
It is not a <em>primitive</em> factor, because it can be factored as ...
x^4 -1 = (x^2 -1)(x^2 +1) = (x -1)(x +1)(x^2 +1)
The complete factorization of P(x) to real numbers is ...
P(x) = (x -1)(x +1)(x +5)(x^2 +1)
Answer:
The change in the total cost for each book printed is $10
The cost to get started is $1250
Step-by-step explanation:
In the linear equation y = m x + b, where
- m is the rate of change per unit
- b is the initial amount (value y at x = 0)
∵ y represents the total cost of publishing a book in dollars
∵ x represents the number of copies of the book printed
∵ y = 1250 + 10 x
- Compare it with the linear equation y = m x + b
∴ m = 10
∴ b = 1250
∵ m = Δy/Δx
- That means m is the change in the total cost per book
∴ The change in the total cost for each book printed is $10
∵ b is value y at x = 0
- That means b is the cost to get started before print any book)
∴ The cost to get started is $1250
Answer:
30 pencils
Step-by-step explanation:
Given :
Number of pencils shared = 40
Sharing ratio = 2 : 6
Nimah's share = (2 / sum of ratio) * number of pencils
Nimah's share = (2 / 8) * 40
Nimah's share = 80 / 8
Nimah's share = 10 pencils
Jack's share = total number - Nimah's share
Jack's share = 40 - 10
Jack's share = 30
On the question in the photo it is 4: 30 40 50 and 60
