Answer:

Step-by-step explanation:
We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

So, we can let <em>j</em> be the inverse function of <em>h</em>.
Function <em>h</em> is given by:

Find its inverse. Flip variables:

Solve for <em>y. </em>Add:

Hence:

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.
We can verify our solution:

And:

Answer:
the probability is 2/9
Step-by-step explanation:
Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).
p(dime first) = 4/10 = 2/5
Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.
The joint probability of these two events occurring sequentially is the product of their probabilities:
p(dime then nickel) = (2/5)×(5/9) = 2/9
_____
<em>Alternate solution</em>
You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.
p(dime/nickel) = 20/90 = 2/9
Answer:
-6.5
Step-by-step explanation:
-2(p - 1) = 15
-2p + 2 = 15
-2p = 13
p = -6.5
Answer:
c
Step-by-step explanation:
4+3 = 7
This is the amount of dollars spent each day
25/7 = 3 4/7
This means the money will last for 3 days.