Step-by-step explanation:
When a number is multiplied by 5, the last digit of the product must be 0 (mod 5).
=> Last digit = 0 or 5.
Since 0 is not an option here, the answer must be 5. (C)
Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
Answer:
(n/3)-10=6
Step-by-step explanation:
Let n be the number
Quotient of n and 3 is n/3
10 less that this is (n/3)-10=6
Answer:
See attached image for the requested graph
Step-by-step explanation:
The values completed in the table and text boxes as shown, are all correct.
For the plotting of the points and drawing of the line, please see the attached image.
Answer:
4
Step-by-step explanation:
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