Answer:
36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes.
Step-by-step explanation:
The roller coaster can accommodate 9 riders every 4 minutes. 36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes all follow the common ratio.
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
3/4 and 3/8 have to have equal denominators, so multiply 3/4 by 2/2 because it's equal to one, so it doesn't change the value of the fraction, but it makes the denominator (the number on the bottom) bigger.
3/4 x 2/2 = 6/8
Now subtract.
6/8 - 3/8 = 3/8
Don't subtract the denominators.
3/8 can't be simplified.
If there are n coins, then the smallest (minimum) amount of coins we need to flip is 1. The reason why is because the best case scenario would be flipping all heads except the last coin which is tails. This scenario is rare if n is large, but still possible.
4F because when you go through the sequence that is what you get
