Answer:An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .
Step-by-step explanation:
Answer: A) 0
P(A and B) = 0 when events A and B are disjoint, aka mutually exclusive.
We say that two events are mutually exclusive if they cannot happen at the same time. An example would be flipping a coin to have it land on heads and tails at the same time.
Answer:
22.25
Step-by-step explanation:
1302-1124/2016-2008
Answer:
- Walnuts - $1.25, chocolate chips - $3.25
Step-by-step explanation:
Let walnuts = x, chocolate chips = y
<u>Set a system and solve:</u>
<u>Double the first equation and subtract the second one from it:</u>
- 6x + 10y - 6x - 2y = 40 - 14
- 8y = 26
- y = 26/8
- y = 3.25
<u>Find the value of x:</u>
- 6x + 3.25*2 = 14
- 6x = 14 - 6.5
- 6x = 7.5
- x = 7.5/6
- x = 1.25
Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so
- The length of the fencing is 80 meters, so
Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:
Then substitute for y in the first:
b) To maximize A, find the zero of the first derivative:
So y = (80-40)/2 = 20 meters.
