Answer: 3/10
Step-by-step explanation:
Take the derivative of 
to get 
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
Answer:
2.777777 and -7/3
Step-by-step explanation:
2.7182818459 cannot be written in fraction form therefore it is irrational.
2.777777 is rational because it can be written as the fraction 25/9
The square root of 3 is 1.7320508075688772, this number cannot be written as a fraction so it is irrational.
-7/3 is rational because it is already in fraction form.
Answer:
Interval
Step-by-step explanation:
The interval scale is guageable and data following this scale can be added and subtracted.
Years are values we can either subtract or minus so they fall under the interval scale.
Also, they have no absolute zero, which is a characteristic of the interval scale.
Answer:
344 visitors
Step-by-step explanation:
Given that the relationship between the number of visitors to a museum(y) and the daily rainfall in mm(x) is defined as
y=14.1x+62.0
when the daily rainfall is 20 mm, the number of visitors
y = 14.1(20) + 62
= 282 + 62
= 344
It means that the expected number of visitors is 344 persons (to the nearest integer).
When more offspring than can survive are produced, it is called overproduction. Variation among these offspring exists. The offspring with variations more suited to their environments will be more likely to survive.
