The problem simplified is 36√ 2abc
Answer:
A) f'(t) is negative
B) degc/min
c ) At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
Step-by-step explanation:
A ) f'(t) is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative
B ) The units of f'(20) = degc/min
C) At ║f'(20)║ = 1.5 and f'(20) = 56
║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5
therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125
At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds
18×7+5 is your answer. The answer for the problem is 18×7=126.
126+5=131.
To factor this notable trinomial, you have to find two numbers that summes give -5 and multiplied give 6*(-25) = -150
Then let's call n1 and n2 the two numbers and a the number before x^2 (6)
ax^2+sx+fn = (ax + n1)(x + n2/a)
Numbers are -15 and +10
-15+10 = -5
-15*10 = -150
So
(6x-15)(x + 10/6)
Or write it as a sum
6x^2 + 10x - 15x - 25
And factor
6x^2 + 10x = 2x(3x+5)
-15x-25 = -5(3x+5)
(2x-5)(3x+5)
is equal to 