Use the drawing tools to form the correct answer on the number line.
2 answers:
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Answer:
Option A is correct.
4n + 8 expression which has a value that is equivalent to 5n+13 when n = -5
Step-by-step explanation:
Given the expression:
If n = -5
then, by substituting in given expression we get;
Option A:
4n + 8
Substitute the value of n = -5 we have;
Option B:
2n + 2
then;
2(-5) + 2 = -10 + 2 = -8
Option C :
then;
Option D:
n + 8
then;
-5 + 8 = 3
Therefore, only option A has expression which has a value that is equivalent to 5n+13 when n = -5
Answer:
5 / 12
Step-by-step explanation:
You must have common denominators in order to add or, in this case, subtract.
4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have , so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with .
By the Chinese remainder theorem, we find that any such that
is a solution to this system, i.e. for any integer
, the smallest and positive of which is 149.