Answer: a. 5/12 b. 10 hours
Step-by-step explanation:
5/8 x 2/3 = 10/24 = 5/12
she spends 5/12 of the day awake at home
if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10
so she spends 10 hours awake at home
the derivitive is just the slope
minimum happens when the derivitive goes from negative to positive, imagine a slope of the function, the minimum is where the slope goes from neative to positive, and to get there, it has to pass through 0
max happens when the derivitive goes from positive to negative
increaseing is when the derivitive is positive
so, based on what you said, the slope of f(x) is 0 at x=-3, x=1 and x=2 since those are where the derivitive is 0 (derivitive is just the slope)
A and B are wrong because the derivitive isn't 0 at those points
C is correct because increasing means that the derivitive is positive, and so therefo since the only hoirontal place in between 1 and 2 is 1.5, it must remain positive throughout and not dip down, C is right
D is wrong then
answer is C
Answer:
This relationship is a function
Step-by-step explanation:
While a function may not have two output values (y) assigned to the same input value (x), it may have two input values (x) assigned to the output value (y).
The table follows that rule
Answer:
"associative"
Step-by-step explanation:
The associative property lets you change the grouping of terms of a sum or of a product.
___
For example, you can rewrite
(5 + 4·3) -2
as
5 + (4·3 -2)
but the associative property does NOT allow you to change the grouping to ...
(5 +4)·3 -2 . . . . . not a valid rewrite
