Answer:
your answer is as follows
Step-by-step explanation:
5x+20=3x+60
2x=40
x=20
(equating the slopes)
Answer:
2(n-6)=12
(I went too far in my explanation; I'm not going to erase it because I think it is important to have an example on solving these)
Step-by-step explanation:
Twice the difference of a number and 6 is the same as 12.
Twice means 2 times
Difference means the result of subtracting something.
is the same as means equal to (=).
So we are given 2(n-6)=12.
You can start by dividing 2 on both sides are distributing 2 to terms in the ( ).
I will do it both ways and you can pick your favorite.
2(n-6)=12
Divide both sides by 2.
n-6 =6
Add 6 on both sides
n =12
OR!
2(n-6)=12
Distribute 2 to both terms in the ( )
2n-12=12
Add 12 on both sides
2n =24
Divide both sides by 2
n =12
Answer: Yes
Step-by-step explanation: To determine whether 7/3 is a rational number, remember all fractions either positive or negative are rational numbers.
Therefore, 7/3 is a rational number.
Answer:
The answer is the last one:
4 , 10 , 18 , (k + 1)² + 3(k + 1) and k² + 5k + 4
Step-by-step explanation:
∵ 2 is a factor of n² + 3n
∵ n = 1 ⇒ ∴ (1)² + 3(1) = 1 + 3 = 4 ⇒ 2 is a factor of 4
∵ n = 2 ⇒ ∴ (2)² + 3(2) = 4 + 6 = 10 ⇒ 2 is a factor of 10
∵ n = 3 ⇒ ∴ (3)² + 3(3) = 9 + 9 = 18 ⇒ 2 is a factor of 18
∵ n = k + 1 ⇒ ∴ (k + 1)² + 3(k + 1) ⇒ before the simplify
∵ n = k + 1 ⇒ ∴ k² + 2k + 1 + 3k + 3 = k² + 5k + 4 ⇒ after simplify
