Answer:
Step-by-step explanation:
24x + 6y = 144.
18x + 3y = 90.
Divide the (24x + 6y = 144) by 3.
8x + 3y = 48.
18x + 3y = 90.
Cancel the 3y.
8-18x = -10x.
48-90 = -42.
-10x = -42.
x = 4.2
8(4.2) + 3y = 48.
33.6 + 3y = 48.
Cancel out the whole number.
3y = 14.4
y = 4.2
Answer:
5 track practices
Step-by-step explanation:
So if he ran 8 miles in 4 track practices, he ran 2 miles in each.
So it would take 5 track practices to do it.
Let's raise i to various powers starting with 0,1,2,3...
i^0 = 1
i^1 = i
i^2 = ( sqrt(-1) )^2 = -1
i^3 = i^2*i = -1*i = -i
i^4 = (i^2)^2 = (-1)^2 = 1
i^5 = i^4*i = 1*i = i
i^6 = i^5*i = i*i = i^2 = -1
We see that the pattern repeats itself after 4 iterations. The four items to memorize are
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.
To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.
This means i^25 = i^1 = i
Likewise,
i^5689 = i^1 = i
because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely
Answer: first option.
Step-by-step explanation:
Find the common difference d of the arithmetic sequence:
Then the formula for the 101st term is the shown below:
Where:
Substitute values into the formula. Therefore, you obtain:
Answer:
C
Step-by-step explanation:
8x^2 - 8x + 2
=2(4x^2 - 4x + 1)
=2(2x - 1)^2
