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

4 0

3 years ago

Sergeu [11.5K]

Answer:

5 pints per hour.

Step-by-step explanation:

Morning:

Given:

Number of strawberries packed in every 4 minutes = 3

∴ Number of strawberries packed in every one minute = $\frac{3}{4}$

So, number of strawberries packed in every 60 minutes = $\frac{3}{4}\times 60=45$

1 hour = 60 minutes.

So, strawberries are packed at a rate of 45 pints per hour in the morning.

Afternoon:

Number of strawberries packed in every 3 minutes = 2

∴ Number of strawberries packed in every one minute = $\frac{2}{3}$

So, number of strawberries packed in every 60 minutes = $\frac{2}{3}\times 60=40$

1 hour = 60 minutes.

So, strawberries are packed at a rate of 40 pints per hour in the afternoon.

Difference between the packing rates is given as:

Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.

So, she packed 5 more pints in one hour in the morning than in the afternoon.

3 0

3 years ago

Helpppp pleaseeee ????

Agata [3.3K]

Answer:

LQ = 54

Median = 69

UQ = 94

Step-by-step explanation:

This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do $\frac{n+1}{2}$ , where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply $\frac{n+1}{4}$ , so 2, so the lower quartile is 54. The upper quartile is $\frac{n+1}{2} X 3$ , so 6, so the upper quartile is 94.

3 0

2 years ago