Answer:
6*$10= $60
4*$10=$40
60+40= $100
$100
Step-by-step explanation:
The standard form would be x+3y=-27
The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:
So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.
In this case, the squares are obvious: 
is the square of 
, and 
is the square of 
So, we can factor the expression as
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]](https://tex.z-dn.net/?f=%20%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20-%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20)
(the round parenthesis aren't necessary, I used them only to make clear the two terms)
We can simplify the expression summing like terms:
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)](https://tex.z-dn.net/?f=%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%5B%28x%2B2%29-%28y%2B2%29%5D%20%3D%20%28x%2By%2B4%29%28x-y%29%20)
So in slope intercept form or y=mx+b or in your case c=mx+b where b=15, x=number of movies and b=2 dollars per cd then
C=2x+15 so
the C intercept is when x=0 so
set x to 0 and get
2(0)+15=C
0+15=C
C=15
Cintercept=15
slope=m so slope=2
C intercetp=15
so if borrow certain number of movies just plug in the values for x so
1
2(1)+15=2+15=17
2
2(2)+15=4+15=19
and so on
<u>The probability is </u><u>1/12</u>
The probability of choosing a nickel is 9/18 = 1/2. The probability of choosing a dime is 3/18 (because there are 3 dimes and since there is replacement, we still have 18 total coins to choose). With these, we get: (1/2) * (3/18) = 3/36 = 1/12
