Answer:
(x - 1)(x - 2)(x + 3)
Explanation:
f(x)=x3-7x+6 Since (a + b + c + d = 0), then f(1) = 0 --> one factor if (x - 1).
After division -->
f(x)=(x-1)(x2f2+x-6). The trinomial in parentheses can be factored.
Find 2 numbers knowing sum (1) and product (-6). They are -2 and 3.
Therefor, f(x)=(x-1)(x-2)(x+3)
Answer:
(a) number of strands (n) = time (t) ÷ proportionality constant (k)
(b) The time needed for the bacterial to double its initial size is 3.36 hours.
Explanation:
(a) Let the rate (time) be represented by t and the amount (number) of strands of bacteria be represented by n
t is proportional to n, therefore, t = kn (k is the proportionality constant)
Since t = kn, then, n = t/k
(b) Initial amount of strands = 300
Amount of strands after 2 hours = 300 + (300 × 20/100) = 300 + 60 = 360
k = t/n = 2/360 = 0.0056 hour/strand
Double of the initial size is 600 (300×2 = 600)
Time (t) needed for the bacterial to double its initial size = kn = 0.0056×600 = 3.36 hours
The heat can cause the killing of the bacteria. It is estimated that all the pathogenic bacteria are killed after a heating of 70-75 degree Celsius or 165 degree Fahrenheit.
The ground meat or poultry can be infected from many type of bacteria, which are present in atmosphere or in the body of the organism, whose meat is being consumed.
So, in order to kill the pathogenic bacteria, the cooking at 165 degree Fahrenheit or above for sometime must be done
So, the given blank can be filled with 165.
