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
Answer:
x = -7/5 and x = 9/8
Step-by-step explanation:
To solve this equation, set both parts of the "expression" equal to 0.
5x + 7 = 0
Subtract 7 from both sides.
5x = -7
Divide both sides by 5.
x = -7/5
8x - 9 = 0
Add 9 to both sides.
8x = 9
Divide both sides by 8.
x = 9/8
When solving for this problem, replace x with the first coordinate and solve. if the answer is what you have for the second, it is correct. The first number in an ordered pair is your x and the second is your y. So I would rewrite the equation like this and solve.
y=7x-19 y=7x+21
2=7(3)-19 9=7(4)-19 2=7(3)+21 9=7(4)+21
2=21-19 9=28-19 2=21+21 9=28+21
2=2 9=9 2=42 9=49
as you can see it is the first equation.
Answer:
the absolute value of the number 3 would be 3
Hope this helped :)
