Which shows all the prime factors for 36? A.2 • 18 B.4 • 9 C.2 • 2 • 3 • 3 D.2 • 2 • 3 • 5
1 answer:
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Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let . then we have that
. Hence, it makes sense to define the positive number delta as
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that , and if we prove this, we are done. To prove it, let
, then
. First,
then
hence
On the other hand, then
hence
. Combining the inequalities, we have that
, therefore
as required.
Answer: b. Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.
Step-by-step explanation:
Lin buys 87 pencils which is why the entire number line adds up to 87.
She gave 39 of these pencils to her teacher which s why there is a section of the number line that is unlike the rest and is 39 in number.
The rest of the number line is a set of 4 spaces which are equal.
Lin shared the remaining pencils between herself and 3 friends which means she shared the pencils with 4 people. These four equal quantities of pencils are the 4 spaces.
