Answer:
D.
Step-by-step explanation:
Using division, the thickness of each sheet of paper is 0.005 inches
To find the thickness of each sheet of paper, divide the total thickness of the telephone book by the number of sheets used.
Thickness of each sheet of paper = Total thickness / Number of sheets
Thickness of each sheet of paper = 2.6 inches / 565 sheets ≈ 0.004602 inches
Rounded to the nearest thousandth of an inch, the thickness of each sheet of paper is approximately 0.005 inches.
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Prove: OW = ON
A. 3 imaginary; 2 real
B. 4 imaginary; 1 real
C. 0 imaginary; 5 real
D. 2 imaginary; 3 real
Answer:
B. 4 imaginary; 1 real
Step-by-step explanation:
Given the polynomial:
x^5 + 7*x^4 + 2*x^3 + 14*x^2 + x + 7
it can be reordered as follows
(x^5 + 2*x^3 + x ) + (7*x^4 + 14*x^2 + 7)
Taking greatest common factor at each parenthesis
x*(x^4 + 2*x^2 + 1) + 7*(x^4 + 2*x^2 + 1)
Taking again the greatest common factor
(x + 7)*(x^4 + 2*x^2 + 1)
Replacing x^2 = y in the second parenthesis
(x + 7)*(y^2 + 2*y + 1)
(x + 7)*(y + 1)^2
Coming back to x variable
(x + 7)*(x^2 + 1)^2
There are two options to find the roots
(x + 7) = 0
or
(x^2 + 1)^2 = 0 which is the same that (x^2 + 1) = 0
In the former case, x = -7 is the real root. In the latter, (x^2 + 1) = 0 has no real solution. Therefore, there is only 1 real root in the polynomial.
A negative integer is a whole number.
Answer:
A negative integer is a whole number
NEVER TRUE
Integers run from 0 on up
No decimals
No fractions
Step-by-step explanation: