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:
(2, 3).
Step-by-step explanation:
3x+2y=12
6x+3y=21 Multiply the first equation by 3 and the second by 2:
9x + 6y = 36
12x + 6y = 42 Subtract:
-3x = -6
x = -6/-3 = 2.
Plug x = 2 into the first equation:
3(2) + 2y = 12
2y = 12 - 3(2)
2y = 6
y = 3.
From right to left
2
20
200
2000
20000
200000
Answer:
The possible values of x is given by
and they include: -2, -3, -4, -5, -6 and so on
The greatest possible value of 7x is 
Step-by-step explanation:
We are given the equation: x + 8 <= 6
Let collect the like terms:

Therefore, x <= -2 and the possible values include: -2, -3, -4, -5, -6 and so on
To find the greatest possible value of 7x is when x = -2.
.
I’m pretty sure it’s the third one sorry if i’m wrong