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Savatey [412]
3 years ago
14

Blue cassests hold 45 min. Of music

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0
Let the number of Blue casset be b and that of green be g.
Thus the total number of cassets will be:
b+g=16
hence
g=16-b.......i

The total amount was:
45b+55g=830..ii
plugging i in ii we get:
45b+55(16-b)=830
45b+880-55b=830
simplifying 
45b-55b=830-880
-10b=-50
thus
b=5
hence
g=16-5=11
number of blue cassets was 5 and that of green was 11 
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The functions r and s are defined as follows. r(x)=2x-2 s(x)=-x^2 find the value of s(r(-3)) (please help!)
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Solving equation s(r(x)) for x= -3, you find as result s(r(-3))=-64

<h3>Solving Equations</h3>

The equations can be solved when you replace the variable x for a given value or find the zero of functions.

The question gives:

                                 r(x)=2x-2

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First, you will find r(-3). For this, in the equation r(x)=2x-2, you should replace x for -3. Then,

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Like r(-3)= -8, you should replace x, in s(x), for -8.

                                 s(x)=-(-8)²

                                 s(x)=-64

Hence, s(r(-3)=-64.

Read more about functions here:

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