Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up.
1 answer:
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Hi! I'm happy to help!
To first solve this, we need to make those mixed numbers improper fractions.
To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.
÷(−1
)
Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.
÷(−
)
From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.
×(−
)
Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)
-
<u>Since we cannot simplify, our final answer is -63/20.</u>
I hope this was helpful, keep learning! :D
Answer:
Do you want to be extremely boring?
Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?
is a valid solution.
Want something more fun? Why not a parabola? .
At this point you have three parameters to play with, and from the fact that we can already fix one of them, in particular
. At this point I would recommend picking an easy value for one of the two, let's say
(or even
, it will just flip everything upside down) and find out b accordingly:
Our function becomes
Notice that it works even by switching sign in the first two terms:
Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2:
Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need , and at that point the first condition is guaranteed; using the second to find k we get
Or how about a sine wave that oscillates around 2? with a similar reasoning you get
Sky is the limit.