Answer:
B (√6)/4
Step-by-step explanation:
The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...
_____
Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.
Answer:
720.
Step-by-step explanation:
1*2*3*4 * 5*6
= 24 * 30
= 720.
Splitting it up in this way makes it easier.
Answer:
The graph is shifted 7 units right and 5 units up.
Answer:
Both lights would flash together after every 30 seconds.
Step-by-step explanation:
6 = 2 * 3 and 10 = 2 * 5.
LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.
Therefore, both lights wold flash together after every 30 seconds.
We conduct long division, cancelling each term in x³ + 6x² + 3x + 1. As so:
x²(x -2) = x³ - 2x²
Subtracting from the original equation, we get:
8x² + 3x + 1
8x(x - 2) = 8x² - 16x
Subtracting from the new equation, we get:
21x + 1
21(x - 2) = 21x - 42
Subtracting from the new equation, we get:
43
The answer is x² + 8x + 21 with a remainder of 43.
