9514 1404 393
Answer:
(d) reflection about the x-axis, up 6 units
Step-by-step explanation:
The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.
The transformations are ...
reflection about the x-axis, up 6 units
Pls. see attachment. I created that table for easy monitoring and understanding.
Yellow cells are sums that are even.
Orange cell are sums that are multiples of 3.
Yellow cells w/ orange texts are sums that are both even and multiples of 3.
There would be 2034 students competing in 2012.
We can write a simple equation to find this answer. Let X, be the number of students starting in 2012. Then, we multiply by 0.9 and 1.1 to get to 2014. To work backwards, just divide by 1.1, then by 0.9.
2014 / 1.1 / 0.9 = 2034
So, XZ= 7x+1 and PZ= 4x-1. To figure out XP we have to subtract those two.
(7x+1)-(4x-1)
3x-2
3(8)-2
24-2
22
XP=22
<h3>
The probability of picking a red face card from the deck is 
</h3><h3>
The probability of NOT picking a red face card from the deck is 
</h3>
Step-by-step explanation:
The total number of cards in the deck = 52
The total number of red( Diamond + Hearts) face cards in the given deck
= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards
Let E : Event of picking a red face card from the deck
Now , P( any event) = 
So, here P(Picking a red face card) = 
Hence, the probability of picking a red face card from the deck is 
Now, as we know P (any event NOT A) = 1 - P(any event A)
So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)
Hence, the probability of NOT picking a red face card from the deck is 