Answer:
a
Step-by-step explanation:
Answer:
force= mass × acceleration
12×6
72 N
Answer:
x is 10.3
Step-by-step explanation:
Answer:
a. closed under addition and multiplication
b. not closed under addition but closed under multiplication.
c. not closed under addition and multiplication
d. closed under addition and multiplication
e. not closed under addition but closed under multiplication
Step-by-step explanation:
a.
Let A be a set of all integers divisible by 5.
Let
∈A such that 
Find 

So,
is divisible by 5.

So,
is divisible by 5.
Therefore, A is closed under addition and multiplication.
b.
Let A = { 2n +1 | n ∈ Z}
Let
∈A such that
where m, n ∈ Z.
Find 

So,
∉ A

So,
∈ A
Therefore, A is not closed under addition but A is closed under multiplication.
c.

Let
but
∉A
Also,
∉A
Therefore, A is not closed under addition and multiplication.
d.
Let A = { 17n: n∈Z}
Let
∈ A such that 
Find x + y and xy


So,
∈ A
Therefore, A is closed under addition and multiplication.
e.
Let A be the set of nonzero real numbers.
Let
∈ A such that 
Find x + y

So,
∈ A
Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.
Therefore, A is not closed under addition but A is closed under multiplication.
Answer:
B
Step-by-step explanation:
Notice that if we divide our given equation (2x - 4 = 6) by 2 from both sides, we get:
(2/2)x - (4/2) = (6/2)
x - 2 = 3
Now, notice what happens if we multiply this by -3:
-3 * (x - 2) = 3 * (-3)
-3 * x + (-3) * (-2) = -9
-3x + 6 = -9
This matches B.
Hope this helps!