Answer:
C. f (x) = x^3-3x^2-4x-2
Step-by-step explanation:
we know that
The conjugate root theorem states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial
In this problem we have that
The polynomial has roots 1 and (1+i)
so
by the conjugate root theorem
(1-i) is also a root of the polynomial
therefore
The lowest degree of the polynomial is 3
so
Remember that
The leading coefficient is 1
so
a=1
Answer: 1/4 ounces per hour
Step-by-step explanation:
In the 3 hours that the bucket has leaked, it has lost 3/4 ounces.
The rate at which it is leaking is therefore:
= 3/4 / 3
= 3/4 * 1/3
= 3/12
= 1/4 ounces per hour
Answer:
Inequality: 2x + 2 ≤ 5•2x - 50
Solution: x ∈ <6.5, ∞)
Step-by-step explanation:
2x - the smaller of consecutive even integers
2x+2 - the greater of consecutive even integers
5•2x - five times the smaller number
5•2x-50 - fifty less than five times the smaller number
"is at most" means is less or equal
2x + 2 ≤ 5•2x - 50
2x + 2 ≤ 10x - 50
-2 -2
2x ≤ 10x - 52
-10x -10x
-8x ≤ -52
÷(-8) ÷(-8)
x ≥ 6.5
<u>x ∈ <6.5, ∞)</u>
Answer:
Be smart and pay attention
Step-by-step explanation: