Multiplication gives
us distribution over the products, so
(a′+b+d′) (a′+b+c′+f′)
= a′ (a′+b+c′+f′) + b (a′+b+c′+f′) + d′ (a′+b+c′+f′)
And then you can
then distribute again each of the factors on the right.
Then you should simplify
in any given number of ways. To take as an example, you have a′b and ba′,
and since a′b + a′b = a′b + a′b = a′b, you can just drop one of them.
Since bb = b, you can rewrite bb as b and etc.
So in the end
part we should arrive at a sum of products. Then you can just invert. For
example, if at the end you had:
p′ = a′b + bc′ +
d′f ′+ a′f′
Then we would
have
p = p′′ = (a′b +
bc′ + d′f′ + a′f′)′ = (a′b)′⋅(bc′)′⋅(d′f′)′⋅(a′f′)′
Then applying De
Morgan's laws to each of the factors, e.g., (a′b)′ = a+b′, so we would
have
p = (a+b′)⋅(b′+c)⋅(d+f)⋅(a+f)
which is a
product of sums.
The equation for what the 2nd number of three consecutive numbers that equal to 414 is : x+(x+1)+(x+2)=414
Multiply and Simplify:
x+x+1+x+2=414
3x+3=414
Subtract 3 from both sides:
3x+3-3=414-3
3x=411
Divide three by both sides to get answer:
3x/3=411/3
x=137.
If you want to check if its correct add the three numbers that come next:
137+138+139=414.
Answer:
Option A
Step-by-step explanation:
For finding the greatest common factor of 20 and 38
We will have to make factors of both terms first,
So,
factors of 20:<u>2</u>*2*5
factors of 38=<u>2</u>*19
It can be seen that there is only one common factor between the factors of the two terms which is 2.
So the Greatest common factor of both the terms will be 2.
Hence, the correct answer is Option A ..
Answer:
-9 + 21 = t t = 12°C.
Step-by-step explanation:
For this problem lets have t be equal to the original temperature in the beginning of the day. The equation -9 + 21 = t represents this situation because it states that if we add the degrees that dropped to the current degrees it will give us our original degrees. Solve. -9 + 21 = t (Simply add -9 + 21) -9 + 21 = (+12) 12 = t So, the original degrees in the beginning of the day was 12°C.
