The original can be rewritten as
. Because i^2 is equal to -1, we can replace the -1 in each radicand with i^2, like this:
. Now, i-squared is a perfect square that can be pulled out of each radicand as a single i.
. 24 has a perfect square hidden in it. 4 * 6 = 24 and 4 is a perfect square. So let's break this up, step by step.
and then
. We will now multiply the i and the 2i, and multiply the square root of 6 times the square root of 6:
. 36 itself is a perfect square because 6 * 6 = 36. So we will do that simplification now.
. Multiplying the 2 and the 6 gives us
. But here we are back to the fact that i-squared is equal to -1, so 2(-1)(6) = -12. See how that works?
Answer:
y = -5/3
Step-by-step explanation:
Rise over run, going from -1 (the most solid point) going up 5 (rise) and going over 3, it is negative because your going left and not right. Going left makes the answer negative. (-3, 4) is the other solid point we are trying to go to. Using rise/run we can put the answer into -5/3
Answer:
Step-by-step explanation:
Recall that a function f is concave up if it's second derivative is positive and it is concave down if it's second derivative is negative. Recall that the second derivative tell us how the first derivative is behaving. Thus, if the second derivative is positive, then the first derivative is increasing as the time passes. If the second derivative is negative, that means that the first derivative is decreasing as the time passes.
Consider the product A with a price function that is concave up. This means that the first derivative is constantly increasing. This means, that if the price of the product A is decreasing, it will decrease less and less until it starts to increase. If on the contrary the price is already increasing, it will keep on increasing at a higher rate.
Consider the product B with a price function that is concave down. This means that the first derivative is constantly decreasing. So, if the price is increasing, it will increase less and less until it starts decreasing, or if it is already decreasing it will keep decreasing at a higher rate
30 girls , 12 were selected
40 boys, 16 were selected
We can simplify these down by finding the Greatest Common Factor in both girls and boys:
30:12 .... 15:6 .... 1 : 2.5 30/12 .... 15/6 .... 2.5
40:16 .... 20:8 .... 1 : 2.5 OR 40/16 .... 20/8 .... 2.5
They are equal ratios because their most simplified ratios/fractions are equivalent
