We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2
Answer: it will take them 48 minutes.
Step-by-step explanation:
John can mow a lawn in 80 minutes. This means that the rate at which he moans the lawn per minute is 1/80
Rocky can mow the same lawn in 120 minutes. This means that the rate at which Rocky can mow the same lawn per minute is 1/120
If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be
1/80 + 1/120 = 200/9600 = 1/48
Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,
1/48 = 1/t
t = 48 minutes
Well not sure what you are asking, but If it is what I think it is, it would go like this:
2
(9^2)
Then the answer should be
9^4 since we multiply the exponents.
If you mean this...
3^2....It would be same as 3 x 3 which we should know is equal to nine.
Hope I helped! (Be sure to thank me!)
Answer:
Probability of the day to be a snow day is 0.34
Step-by-step explanation:
We have the data,
Out of 21 which had less than 3 inches of snow, 5 were snow days.
Out of 8 days which had more than 3 inches of snow, 6 were snow days.
So, we get,
Total number of days = 21 + 8 = 29
Total number of snow days = 5 + 6 = 11
Thus, the probability that the day will be a snow day is 
i.e. 0.34
Hence, the probability of the day to be a snow day is 0.34.
Answer:
(2,-3)
Step-by-step explanation:
