Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Answer:
C) y = 2|x - 3| - 1
Step-by-step explanation:
Point slope form: y = a(x - h) + k
The slope (a) is 2
The vertex (h, k) is (3, -1)
plug these values into the equation:
y = 2|x - 3| - 1
3 because the x value has been repeated
59.952 in the nearest tenth is 60
In maths, the “>” sign means “greater than”, or “bigger than.” If we say A > B, that means (in English) “A is bigger than B.”
So, if A > B and B > C:
A is bigger than B, and B is bigger than C.
So the smallest would be C, since both A and B are bigger. Next is B, and biggest is A.
That is the order they would be in a number line: C - B - A
