Answer: 91
Step-by-step explanation:
Given : The number of documentaries = 5
The number of comedies = 7
The number of mysteries = 4
The number of horror films =5
The total number of movies other than comedy = 14
Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-

Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .
Given:
Seven times the smaller of two consecutive even integers is the same as -300 minus 4 times the larger integer.
To find:
The integers
.
Solution:
Let the smaller even integer be x.
So, larger even integer is x+2 because they are consecutive even integers.
Seven times the smaller integer = 7x
-300 minus 4 times the larger integer = -300-4(x+2)
Now,




Divide both sides by 11.


So, the smaller even integer is -28.

So, the larger even integer is -26.
Answer:


Step-by-step explanation:
A function and its inverse has the following properties

This implies that;

From the table,

This means that:


Note that: f(7) means the value of f(x) when x=7.
From the table f(x)=-6 when x=7.
That is why f(7)=-6.
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Answer:
y= 2x - 19/3
Step-by-step explanation:
6x-3y=19
3y=6x-19
y=2x- 19/3
slope: 2
y-intercept: -19/3