We have the expression:
3x(x-12x) + 3x^2 - 2(x-2)^2
First, we will expand the power 2 bracket as follows:
3x(x-12x) + 3x^2 - 2(x^2 - 4x +4)
Then, we will get rid of the brackets as follows:
3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8
Now, we will gather the like terms and add them as follows:
-32 x^2 + 8x - 8
We can take the 8 as a common factor:
8 ( -4x^2 + x -1)
Answer:
-439
Step-by-step explanation:
(s circle t) (negative 7) is a notation for a compound function.
A compound function is a function that has as an argument another function.
Another notation for this compound function is s(t(-7)), that is, the result of the function t(-7) is the value that will be used in the function s(x).
So, first we calculate the value of t(-7):
t(x) = 3x
t(-7) = 3*(-7) = -21
Now, we apply this value for s(x):
s(x) = 2 - x2
s(t(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439
The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.
Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.
Answer: The drive was 24.32% full when the transfer began.
Step-by-step explanation:
Given: The rate of transferring file = 4.44 megabytes per second.
After 32 seconds, the amount of data on the drive = 384 megabytes
The amount of transferred data =
megabytes
Therefore, the amount of data in the drive at the beginning is given by :-

The drive had a maximum capacity of 1000 megabytes.

Hence, the drive was 24.32% full when the transfer began.