If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.
If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.
If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.
So 3x = 4 (mod 5) when x = 3.
<h3>The final answer is C) 3</h3>
We don't need to check D since x = 3 is a solution and it's smaller than x = 4.
If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.
Step-by-step explanation:
Use the distributive formula to solve for n:
-a(b + c) = -ab - ac
So, to solve this you would have to use the distributive property:
-1/3n - 5 = -2
Add 5 to both sides
-1/3n - 5 + 5 = -2 + 5
-1/3n = 3
Now, multiply -3 from both sides
-1/3 * -3 n = 3 * -3
Simplify
n = -9
Hope that helped!!
~A̷l̷i̷s̷h̷e̷a̷♡
Answer: Choice C
Vertex = (5, -2)
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Explanation:
Vertex form is 
where the vertex itself is located at (h,k)
As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.
In the case of choice C, we have 
which is the same as 
and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)
23 × 536 = 12328
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