<span>It looks like you're supposed to pick a combination of two answers:
an absolute-value inequality, and
a sentence describing the meaning of that inequality.
We've got two choices for each, and therefore four possible combinations of choices.
First, let's tackle the sentence description. We're told that
"it [the cost] could differ [from the average of $32] as much as $8."
That sets a maximum value for the difference; it's UP TO $8.
If the cost is less than average, it could be as little as
$32 - $8 = $24
and if the cost is more than average, it could be as much as
$32 + $8 = $40.
So the medication costs range from $24 to $40, and we want an answer that states that.
Now for the inequalities:
|x - 32| describes the SIZE of the difference. Using the absolute-value function means we don't distinguish between
x - 32
and
32 - x
as far as our interests are concerned; we eliminate the sign from the subtraction and just look at the size of the difference.
But in the case we're looking at, we've got a MAXIMUM value for the difference; it can't be more than 8. The inequality
|x - 32| ≥ 8
says the difference is 8 or MORE, so we don't want that. Instead, we want
|x - 32| ≤ 8
which says the difference is anywhere from 0 to 8.
Combining these conclusions, we see we're looking for this answer:
|x - 32| ≤ 8; The medication costs range from $24 to $40
which is the third one listed.</span>
Answer:
Step-by-step explanation:
Given
Required
An equivalent expression
Take LCM
Open bracket
Collect like terms
Hence, an equivalent expression is:
Answer:
an = 4n - 1
a1 = 3
a2 = 7 = 3 + 4
a3 = 11 = 3 + 4.2
a4 = 15 = 3 + 4.3
a5 = 19 = 3 + 4.5
.....
=> this is a arithmetic with a1 = 3 and d = 4
=> an = 3 + 4(n - 1) = 4n - 1
Answer:
5 cups of dried fruit?
Step-by-step explanation:
unless something is missing it's 5 cups
Answer:
ok
Step-by-step explanation:
